Deck 7: Rational Expressions and Equations

ملء الشاشة (f)
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سؤال
A A   matrix that has no inverse is called singular.<div style=padding-top: 35px> matrix that has no inverse is called singular.
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
If If   and   are   matrices then   .<div style=padding-top: 35px> and If   and   are   matrices then   .<div style=padding-top: 35px> are If   and   are   matrices then   .<div style=padding-top: 35px> matrices then If   and   are   matrices then   .<div style=padding-top: 35px> .
سؤال
If the graph of a system of equations results in two parallel lines then there is/are 2 solution(s) to the system.
سؤال
Solve the system of linear equations. Round to the nearest hundredth. <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>

A) No solution
B) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The solution to the system The solution to the system   is   . (Rounded to the nearest hundredth).<div style=padding-top: 35px> is The solution to the system   is   . (Rounded to the nearest hundredth).<div style=padding-top: 35px> . (Rounded to the nearest hundredth).
سؤال
If a system of linear equations of 3 unknowns has infinitely many solutions then the graph of each equation is identical.
سؤال
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)   <div style=padding-top: 35px>

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)   <div style=padding-top: 35px>
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)   <div style=padding-top: 35px>
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)   <div style=padding-top: 35px>
D) No solution.
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)   <div style=padding-top: 35px>
سؤال
To find the inverse of a To find the inverse of a   matrix we can multiply the matrix by the   identity matrix.<div style=padding-top: 35px> matrix we can multiply the matrix by the To find the inverse of a   matrix we can multiply the matrix by the   identity matrix.<div style=padding-top: 35px> identity matrix.
سؤال
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)   <div style=padding-top: 35px>

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)   <div style=padding-top: 35px>
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)   <div style=padding-top: 35px>
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)   <div style=padding-top: 35px>
D) Not enough information
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)   <div style=padding-top: 35px>
سؤال
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)   <div style=padding-top: 35px>

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)   <div style=padding-top: 35px>
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)   <div style=padding-top: 35px>
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)   <div style=padding-top: 35px>
D) No Solution
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)   <div style=padding-top: 35px>
سؤال
The cost of a movie ticket at a local theater is $6.50 per child under 12 years old and $11.75 per adult. On a given day 3000 people purchased a movie ticket and the ticket costs collected totaled $26000. How many children and how many adults purchased a movie ticket that day? (Rounded to the nearest whole number.)

A) 507 children and 2493 adults
B) 1762 children and 1238 adults
C) 1500 children and 1500 adults
D) 5667 children and 8667 adults
E) 1951 children and 4951 adults
سؤال
When subtracting 2 matrices the dimensions of all matrices must be the same.
سؤال
A A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   .<div style=padding-top: 35px> matrix A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   .<div style=padding-top: 35px> is invertible if there exists a A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   .<div style=padding-top: 35px> matrix A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   .<div style=padding-top: 35px> such that A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   .<div style=padding-top: 35px> where A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   .<div style=padding-top: 35px> also has dimension A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   .<div style=padding-top: 35px> .
سؤال
When multiplying 3 matrices the dimensions of all matrices must be the same.
سؤال
The following statement is an example of numerical data: "26 dogs at a given adoption center tabulated by breeds (Terriers Hounds Retrievers)."
سؤال
If matrix If matrix   has dimension   and matrix   has dimension   the dimension of   will be   .<div style=padding-top: 35px> has dimension If matrix   has dimension   and matrix   has dimension   the dimension of   will be   .<div style=padding-top: 35px> and matrix If matrix   has dimension   and matrix   has dimension   the dimension of   will be   .<div style=padding-top: 35px> has dimension If matrix   has dimension   and matrix   has dimension   the dimension of   will be   .<div style=padding-top: 35px> the dimension of If matrix   has dimension   and matrix   has dimension   the dimension of   will be   .<div style=padding-top: 35px> will be If matrix   has dimension   and matrix   has dimension   the dimension of   will be   .<div style=padding-top: 35px> .
سؤال
Use the graph to find the solution(s) of a system of equations with two unknowns. <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution <div style=padding-top: 35px>

A) <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution <div style=padding-top: 35px>
B) Infinitely many solutions
C) <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution <div style=padding-top: 35px>
D) <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution <div style=padding-top: 35px>
E) No solution
سؤال
The graph below shows a system of equations. How many solutions exist for this system? <strong>The graph below shows a system of equations. How many solutions exist for this system?  </strong> A) 3 B) 0 C) 4 D) 2 E) 1 <div style=padding-top: 35px>

A) 3
B) 0
C) 4
D) 2
E) 1
سؤال
A solution to a system of equations with 3 unknowns is the point of intersection of 2 lines.
سؤال
A chemist mixes two solutions one containing 8% alcohol and another containing 25% alcohol. How many milliliters of each solution should be mixed to obtain 3 mL of a solution that contains 16% alcohol? Round to the nearest hundredth.

A) 7.24 mL of solution with 8% alcohol and 4.24 mL of solution with 25% alcohol.
B) 0.82 mL of solution with 8% alcohol and 2.18 mL of solution with 25% alcohol.
C) 3.73 mL of solution with 8% alcohol and 2.18 mL of solution with 25% alcohol.
D) 1.59 mL of solution with 8% alcohol and 4.59 mL of solution with 25% alcohol.
E) 1.59 mL of solution with 8% alcohol and 1.41 mL of solution with 25% alcohol.
سؤال
A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.

A) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Which one of the following is the augmented matrix for the following system of equations. <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Which one of the following is the augmented matrix in row-echelon form for the system below? <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students rate math as average or above? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students rate math as average or above?  </strong> A) 9 B) 8 C) 3 D) 11 E) 20 <div style=padding-top: 35px>

A) 9
B) 8
C) 3
D) 11
E) 20
سؤال
Which one of the following is the augmented matrix in row-echelon form for the system below? <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)   <div style=padding-top: 35px>

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)   <div style=padding-top: 35px>
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)   <div style=padding-top: 35px>
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)   <div style=padding-top: 35px>
D) No solution
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)   <div style=padding-top: 35px>
سؤال
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students gave a fair rating for these courses? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students gave a fair rating for these courses?  </strong> A) 16 B) 18 C) 14 D) 6 E) 22 <div style=padding-top: 35px>

A) 16
B) 18
C) 14
D) 6
E) 22
سؤال
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many surveys were completed? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many surveys were completed?  </strong> A) 9 B) 48 C) 18 D) 10 E) 20 <div style=padding-top: 35px>

A) 9
B) 48
C) 18
D) 10
E) 20
سؤال
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)   <div style=padding-top: 35px>
B) No solution
C) Infinitely many solutions
D) <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)   <div style=padding-top: 35px>
سؤال
Which one of the following is the augmented matrix in row-echelon form for the system below? <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
C) No solution
D) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
سؤال
The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system? <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
An investor has $45000 to invest in three types of accounts. Account A pays 4% annually Account B pays 6% and Account C pays 8%. The investor wishes to have a total return of $3000 on the investment with equal amounts invested in Account B and Account C. How much should be invested in each type of account to satisfy the investor's wishes? Round to the nearest hundredth.

A) Account A = $15000 Account B = $15000 Account C = $15000
B) Account A = $25000 Account B = $1000 Account C = $10000
C) Account A = $5000 Account B = $20000 Account C = $20000
D) There are infinitely many solutions
E) No solution
سؤال
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>

A) No solution
B) Infinitely many solutions
C) <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>
سؤال
Which one of the following is the dimension of the given matrix? <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the solution of the system of linear equations described by the following matrix: <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>

A) No solution
B) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the <strong>Find the   -entry of the following matrix.  </strong> A) 7 B) 4 C) -1 D) 8 E) -7 <div style=padding-top: 35px> -entry of the following matrix. <strong>Find the   -entry of the following matrix.  </strong> A) 7 B) 4 C) -1 D) 8 E) -7 <div style=padding-top: 35px>

A) 7
B) 4
C) -1
D) 8
E) -7
سؤال
Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth. <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)   <div style=padding-top: 35px>

A) <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)   <div style=padding-top: 35px>
B) No solution
C) <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)   <div style=padding-top: 35px>
D) Infinitely many solutions
E) <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)   <div style=padding-top: 35px>
سؤال
Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth. <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions <div style=padding-top: 35px>

A) <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions <div style=padding-top: 35px>
B) <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions <div style=padding-top: 35px>
C) No solution
D) <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions <div style=padding-top: 35px>
E) Infinitely many solutions
سؤال
Find the solution of the system of linear equations described by the following matrix: <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>

A) No solution
B) Infinitely many solutions
C) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
C) Not possible
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
سؤال
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)   <div style=padding-top: 35px> . <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)   <div style=padding-top: 35px>

A) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)   <div style=padding-top: 35px>
B) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)   <div style=padding-top: 35px>
C) None of the above
D) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)   <div style=padding-top: 35px>
E) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)   <div style=padding-top: 35px>
سؤال
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. What does the <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. What does the   -entry represent?  </strong> A) The number of students who rated all 3 courses as excellent. B) The number of students who rated math as an average course. C) The number of students who rated English as an excellent course. D) The number of students who completed the survey. E) The number of students who rated science as a fair course. <div style=padding-top: 35px> -entry represent? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. What does the   -entry represent?  </strong> A) The number of students who rated all 3 courses as excellent. B) The number of students who rated math as an average course. C) The number of students who rated English as an excellent course. D) The number of students who completed the survey. E) The number of students who rated science as a fair course. <div style=padding-top: 35px>

A) The number of students who rated all 3 courses as excellent.
B) The number of students who rated math as an average course.
C) The number of students who rated English as an excellent course.
D) The number of students who completed the survey.
E) The number of students who rated science as a fair course.
سؤال
Which one of the following is the <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> identity matrix?

A) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
D) Not possible
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
E) None of the above
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
سؤال
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Of the students who were surveyed regarding math what proportion rated math as excellent? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Of the students who were surveyed regarding math what proportion rated math as excellent?  </strong> A) 7 B) 0.41 C) 2.57 D) 0.39 E) 18 <div style=padding-top: 35px>

A) 7
B) 0.41
C) 2.57
D) 0.39
E) 18
سؤال
If <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> are matrices then <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> when...

A) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> is the inverse matrix of <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> .
B) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> is an identity matrix.
C) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> are <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> matrices.
D) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> are identical matrices.
E) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. <div style=padding-top: 35px> have the same dimension.
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)   <div style=padding-top: 35px>
B) None of the above
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
سؤال
A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px> and <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px> tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px> gives the price per piece of jewelry (in dollars) for each type sold. Find <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px> . <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px> <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px> <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>

A) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
B) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
C) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
D) Not possible
E) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above <div style=padding-top: 35px>
E) None of the above
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible <div style=padding-top: 35px>
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible <div style=padding-top: 35px>
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible <div style=padding-top: 35px>
E) Not possible
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)   <div style=padding-top: 35px>

A) Not possible
B) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
C) Not possible
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)   <div style=padding-top: 35px>
سؤال
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)   <div style=padding-top: 35px>
سؤال
Which one of the following is the variable matrix for the following systems of equations? <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the system of equations that corresponds to the following augmented matrix: <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the solution to the given matrix by solving the matrix equation <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)   <div style=padding-top: 35px>

A) Infinitely many solutions
B) No solution
C) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)   <div style=padding-top: 35px>
سؤال
Two matrices can be subtracted if they have the same...

A) dimension.
B) entries on the first row.
C) number of rows.
D) number of columns.
E) <strong>Two matrices can be subtracted if they have the same...</strong> A) dimension. B) entries on the first row. C) number of rows. D) number of columns. E)   entry. <div style=padding-top: 35px> entry.
سؤال
The state of New York s spending per person can be approximated by using the equation <strong>The state of New York s spending per person can be approximated by using the equation   where s is the spending per person in dollars t years since 2000. Use the equation to find the spending per person to the nearest cent in 2009.</strong> A) $5885.34 B) $5885.33 C) $232805.22 <div style=padding-top: 35px> where s is the spending per person in dollars t years since 2000. Use the equation to find the spending per person to the nearest cent in 2009.

A) $5885.34
B) $5885.33
C) $232805.22
سؤال
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px> .

A) Not invertible
B) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate the rational expression for the given value. <strong>Evaluate the rational expression for the given value.   for  </strong> A) 2 B) 2.5 C)   D) undefined <div style=padding-top: 35px> for <strong>Evaluate the rational expression for the given value.   for  </strong> A) 2 B) 2.5 C)   D) undefined <div style=padding-top: 35px>

A) 2
B) 2.5
C) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 2 B) 2.5 C)   D) undefined <div style=padding-top: 35px>
D) undefined
سؤال
Your co-worker is getting married. The bride and groom charter a bus to bring the wedding guests to the lake site of the ceremony. The cost per person taking the bus is <strong>Your co-worker is getting married. The bride and groom charter a bus to bring the wedding guests to the lake site of the ceremony. The cost per person taking the bus is   where c is dollars per person and n is the number of people. Find the cost per person to the nearest cent if 42 people will ride the bus.</strong> A) $12.00 B) $16.41 C) $16.40 <div style=padding-top: 35px> where c is dollars per person and n is the number of people. Find the cost per person to the nearest cent if 42 people will ride the bus.

A) $12.00
B) $16.41
C) $16.40
سؤال
Find the values of the variable that must be excluded for the rational expression. <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Evaluate the rational expression for the given value. <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined <div style=padding-top: 35px> for <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined <div style=padding-top: 35px>

A) 0.23
B) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined <div style=padding-top: 35px>
C) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined <div style=padding-top: 35px>
D) undefined
سؤال
Your co-worker is getting married. A group of you agree to buy a gift together for $125. If n people share the cost of the gift the cost per person c is <strong>Your co-worker is getting married. A group of you agree to buy a gift together for $125. If n people share the cost of the gift the cost per person c is   where c is in dollars per person. Find the cost per person if 5 people share the cost.</strong> A) $125 B) $25 C) $5 <div style=padding-top: 35px> where c is in dollars per person. Find the cost per person if 5 people share the cost.

A) $125
B) $25
C) $5
سؤال
Find the values of the variable that must be excluded for the rational expression. <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Which one of the following is the constant matrix for the following systems of equations? <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Which one of the following is the coefficient matrix for the given system of equations? <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px> .

A) Not invertible
B) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Your co-worker is getting married. A group of you agree to pay for a luncheon for the bride. Both the bride and groom are invited to the luncheon but neither of them pays the cost of the meal. The cost per person paying for the luncheon is <strong>Your co-worker is getting married. A group of you agree to pay for a luncheon for the bride. Both the bride and groom are invited to the luncheon but neither of them pays the cost of the meal. The cost per person paying for the luncheon is   where c is dollars per person and n is the number of paying people. Find the cost per person if 12 people share the cost.</strong> A) $21 B) $20 C) $18 <div style=padding-top: 35px> where c is dollars per person and n is the number of paying people. Find the cost per person if 12 people share the cost.

A) $21
B) $20
C) $18
سؤال
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
B) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
C) Not invertible
D) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
E) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate the rational expression for the given value. <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.25 B) 2.5 C)   D) undefined <div style=padding-top: 35px> for <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.25 B) 2.5 C)   D) undefined <div style=padding-top: 35px>

A) 0.25
B) 2.5
C) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.25 B) 2.5 C)   D) undefined <div style=padding-top: 35px>
D) undefined
سؤال
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
B) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
C) Not invertible
D) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
E) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   <div style=padding-top: 35px>
سؤال
Find the solution to the given matrix by solving the matrix equation <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px> . <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>

A) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
B) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
C) No solution
D) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
E) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)   <div style=padding-top: 35px>
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Deck 7: Rational Expressions and Equations
1
A A   matrix that has no inverse is called singular. matrix that has no inverse is called singular.
True
2
If If   and   are   matrices then   . and If   and   are   matrices then   . are If   and   are   matrices then   . matrices then If   and   are   matrices then   . .
False
3
If the graph of a system of equations results in two parallel lines then there is/are 2 solution(s) to the system.
False
4
Solve the system of linear equations. Round to the nearest hundredth. <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)

A) No solution
B) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)
C) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)
D) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)
E) <strong>Solve the system of linear equations. Round to the nearest hundredth.  </strong> A) No solution B)   C)   D)   E)
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5
The solution to the system The solution to the system   is   . (Rounded to the nearest hundredth). is The solution to the system   is   . (Rounded to the nearest hundredth). . (Rounded to the nearest hundredth).
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6
If a system of linear equations of 3 unknowns has infinitely many solutions then the graph of each equation is identical.
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7
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)
D) No solution.
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution. E)
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8
To find the inverse of a To find the inverse of a   matrix we can multiply the matrix by the   identity matrix. matrix we can multiply the matrix by the To find the inverse of a   matrix we can multiply the matrix by the   identity matrix. identity matrix.
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9
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)
D) Not enough information
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) Not enough information E)
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10
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)
D) No Solution
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No Solution E)
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11
The cost of a movie ticket at a local theater is $6.50 per child under 12 years old and $11.75 per adult. On a given day 3000 people purchased a movie ticket and the ticket costs collected totaled $26000. How many children and how many adults purchased a movie ticket that day? (Rounded to the nearest whole number.)

A) 507 children and 2493 adults
B) 1762 children and 1238 adults
C) 1500 children and 1500 adults
D) 5667 children and 8667 adults
E) 1951 children and 4951 adults
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12
When subtracting 2 matrices the dimensions of all matrices must be the same.
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13
A A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   . matrix A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   . is invertible if there exists a A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   . matrix A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   . such that A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   . where A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   . also has dimension A   matrix   is invertible if there exists a   matrix   such that   where   also has dimension   . .
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14
When multiplying 3 matrices the dimensions of all matrices must be the same.
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15
The following statement is an example of numerical data: "26 dogs at a given adoption center tabulated by breeds (Terriers Hounds Retrievers)."
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16
If matrix If matrix   has dimension   and matrix   has dimension   the dimension of   will be   . has dimension If matrix   has dimension   and matrix   has dimension   the dimension of   will be   . and matrix If matrix   has dimension   and matrix   has dimension   the dimension of   will be   . has dimension If matrix   has dimension   and matrix   has dimension   the dimension of   will be   . the dimension of If matrix   has dimension   and matrix   has dimension   the dimension of   will be   . will be If matrix   has dimension   and matrix   has dimension   the dimension of   will be   . .
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17
Use the graph to find the solution(s) of a system of equations with two unknowns. <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution

A) <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution
B) Infinitely many solutions
C) <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution
D) <strong>Use the graph to find the solution(s) of a system of equations with two unknowns.  </strong> A)   B) Infinitely many solutions C)   D)   E) No solution
E) No solution
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18
The graph below shows a system of equations. How many solutions exist for this system? <strong>The graph below shows a system of equations. How many solutions exist for this system?  </strong> A) 3 B) 0 C) 4 D) 2 E) 1

A) 3
B) 0
C) 4
D) 2
E) 1
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19
A solution to a system of equations with 3 unknowns is the point of intersection of 2 lines.
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20
A chemist mixes two solutions one containing 8% alcohol and another containing 25% alcohol. How many milliliters of each solution should be mixed to obtain 3 mL of a solution that contains 16% alcohol? Round to the nearest hundredth.

A) 7.24 mL of solution with 8% alcohol and 4.24 mL of solution with 25% alcohol.
B) 0.82 mL of solution with 8% alcohol and 2.18 mL of solution with 25% alcohol.
C) 3.73 mL of solution with 8% alcohol and 2.18 mL of solution with 25% alcohol.
D) 1.59 mL of solution with 8% alcohol and 4.59 mL of solution with 25% alcohol.
E) 1.59 mL of solution with 8% alcohol and 1.41 mL of solution with 25% alcohol.
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21
A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.

A) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)
B) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)
C) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)
D) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)
E) <strong>A chemistry class takes a survey of the number of hours they studied for an exam and the exam score. Of the students who studied less than two hours 8 students got a score below 60 3 students got a score between 60 and 80 and 1 above 80. Of the students who studied two to four hours 3 students got a score below 60 5 between 60 and 80 and 5 above 80. Of the students who studied more than four hours 2 student got a score below 60 1 between 60 and 80 and 4 above 80. Which of the following matrices organizes this data with the columns representing the number of hours students studied and the rows representing the exam score.</strong> A)   B)   C)   D)   E)
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22
Which one of the following is the augmented matrix for the following system of equations. <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the augmented matrix for the following system of equations.  </strong> A)   B)   C)   D)   E)
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23
Which one of the following is the augmented matrix in row-echelon form for the system below? <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
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24
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students rate math as average or above? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students rate math as average or above?  </strong> A) 9 B) 8 C) 3 D) 11 E) 20

A) 9
B) 8
C) 3
D) 11
E) 20
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25
Which one of the following is the augmented matrix in row-echelon form for the system below? <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
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26
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)
C) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)
D) No solution
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C)   D) No solution E)
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27
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students gave a fair rating for these courses? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many students gave a fair rating for these courses?  </strong> A) 16 B) 18 C) 14 D) 6 E) 22

A) 16
B) 18
C) 14
D) 6
E) 22
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28
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many surveys were completed? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. How many surveys were completed?  </strong> A) 9 B) 48 C) 18 D) 10 E) 20

A) 9
B) 48
C) 18
D) 10
E) 20
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29
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)

A) <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)
B) No solution
C) Infinitely many solutions
D) <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)
E) <strong>Solve the system of linear equations.  </strong> A)   B) No solution C) Infinitely many solutions D)   E)
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30
Which one of the following is the augmented matrix in row-echelon form for the system below? <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the augmented matrix in row-echelon form for the system below?  </strong> A)   B)   C)   D)   E)
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31
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)

A) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)
B) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)
C) No solution
D) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)
E) <strong>Solve the system of linear equations.  </strong> A)   B)   C) No solution D)   E)
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32
The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system? <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)

A) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)
B) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)
C) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)
D) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)
E) <strong>The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?  </strong> A)   B)   C)   D)   E)
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33
An investor has $45000 to invest in three types of accounts. Account A pays 4% annually Account B pays 6% and Account C pays 8%. The investor wishes to have a total return of $3000 on the investment with equal amounts invested in Account B and Account C. How much should be invested in each type of account to satisfy the investor's wishes? Round to the nearest hundredth.

A) Account A = $15000 Account B = $15000 Account C = $15000
B) Account A = $25000 Account B = $1000 Account C = $10000
C) Account A = $5000 Account B = $20000 Account C = $20000
D) There are infinitely many solutions
E) No solution
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34
Solve the system of linear equations. <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)

A) No solution
B) Infinitely many solutions
C) <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)
D) <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)
E) <strong>Solve the system of linear equations.  </strong> A) No solution B) Infinitely many solutions C)   D)   E)
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35
Which one of the following is the dimension of the given matrix? <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the dimension of the given matrix?  </strong> A)   B)   C)   D)   E)
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36
Find the solution of the system of linear equations described by the following matrix: <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)

A) No solution
B) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)
C) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)
D) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)
E) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B)   C)   D)   E)
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37
Find the <strong>Find the   -entry of the following matrix.  </strong> A) 7 B) 4 C) -1 D) 8 E) -7 -entry of the following matrix. <strong>Find the   -entry of the following matrix.  </strong> A) 7 B) 4 C) -1 D) 8 E) -7

A) 7
B) 4
C) -1
D) 8
E) -7
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38
Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth. <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)

A) <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)
B) No solution
C) <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)
D) Infinitely many solutions
E) <strong>Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.  </strong> A)   B) No solution C)   D) Infinitely many solutions E)
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39
Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth. <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions

A) <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions
B) <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions
C) No solution
D) <strong>Find the solution of the system of linear equations described by the following matrix. Round to the nearest hundredth.  </strong> A)   B)   C) No solution D)   E) Infinitely many solutions
E) Infinitely many solutions
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40
Find the solution of the system of linear equations described by the following matrix: <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)

A) No solution
B) Infinitely many solutions
C) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)
D) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)
E) <strong>Find the solution of the system of linear equations described by the following matrix:  </strong> A) No solution B) Infinitely many solutions C)   D)   E)
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41
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
C) Not possible
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
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42
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)   . <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)

A) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)
B) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)
C) None of the above
D) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)
E) <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Find the scalar product   .  </strong> A)   B)   C) None of the above D)   E)
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43
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. What does the <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. What does the   -entry represent?  </strong> A) The number of students who rated all 3 courses as excellent. B) The number of students who rated math as an average course. C) The number of students who rated English as an excellent course. D) The number of students who completed the survey. E) The number of students who rated science as a fair course. -entry represent? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. What does the   -entry represent?  </strong> A) The number of students who rated all 3 courses as excellent. B) The number of students who rated math as an average course. C) The number of students who rated English as an excellent course. D) The number of students who completed the survey. E) The number of students who rated science as a fair course.

A) The number of students who rated all 3 courses as excellent.
B) The number of students who rated math as an average course.
C) The number of students who rated English as an excellent course.
D) The number of students who completed the survey.
E) The number of students who rated science as a fair course.
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44
Which one of the following is the <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)   identity matrix?

A) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the   identity matrix?</strong> A)   B)   C)   D)   E)
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45
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)
D) Not possible
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D) Not possible E)
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46
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
E) None of the above
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47
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
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48
A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Of the students who were surveyed regarding math what proportion rated math as excellent? <strong>A college conducted a survey of students satisfaction with three academic courses: mathematics English and science. The results are tabulated in the data matrix below. Of the students who were surveyed regarding math what proportion rated math as excellent?  </strong> A) 7 B) 0.41 C) 2.57 D) 0.39 E) 18

A) 7
B) 0.41
C) 2.57
D) 0.39
E) 18
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49
If <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. are matrices then <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. when...

A) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. is the inverse matrix of <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. .
B) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. is an identity matrix.
C) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. are <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. matrices.
D) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. are identical matrices.
E) <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. and <strong>If   and   are matrices then   when...</strong> A)   is the inverse matrix of   . B)   is an identity matrix. C)   and   are   matrices. D)   and   are identical matrices. E)   and   have the same dimension. have the same dimension.
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50
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)
B) None of the above
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) None of the above C)   D)   E)
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51
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
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52
A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   and <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   gives the price per piece of jewelry (in dollars) for each type sold. Find <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   . <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)   <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)

A) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)
B) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)
C) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)
D) Not possible
E) <strong>A family sold jewelry during an art festival over a weekend. They sold bracelets earrings and necklaces created by 3 different family members. The matrices   and   tabulate the number of each piece of jewelry sold on Saturday and Sunday. The matrix   gives the price per piece of jewelry (in dollars) for each type sold. Find   .      </strong> A)   B)   C)   D) Not possible E)
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53
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E)
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54
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) None of the above
E) None of the above
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55
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C)   D)   E) Not possible
E) Not possible
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56
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)

A) Not possible
B) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)
C) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A) Not possible B)   C)   D)   E)
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57
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
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58
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
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59
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
B) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
C) Not possible
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B)   C) Not possible D)   E)
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60
Perform the matrix operation as indicated. <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)

A) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
B) Not possible
C) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
D) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
E) <strong>Perform the matrix operation as indicated.  </strong> A)   B) Not possible C)   D)   E)
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61
Which one of the following is the variable matrix for the following systems of equations? <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the variable matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
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62
Write the system of equations that corresponds to the following augmented matrix: <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)

A) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)
B) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)
C) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)
D) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)
E) <strong>Write the system of equations that corresponds to the following augmented matrix:  </strong> A)   B)   C)   D)   E)
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63
Find the solution to the given matrix by solving the matrix equation <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)   . <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)

A) Infinitely many solutions
B) No solution
C) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)
D) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)
E) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A) Infinitely many solutions B) No solution C)   D)   E)
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64
Two matrices can be subtracted if they have the same...

A) dimension.
B) entries on the first row.
C) number of rows.
D) number of columns.
E) <strong>Two matrices can be subtracted if they have the same...</strong> A) dimension. B) entries on the first row. C) number of rows. D) number of columns. E)   entry. entry.
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65
The state of New York s spending per person can be approximated by using the equation <strong>The state of New York s spending per person can be approximated by using the equation   where s is the spending per person in dollars t years since 2000. Use the equation to find the spending per person to the nearest cent in 2009.</strong> A) $5885.34 B) $5885.33 C) $232805.22 where s is the spending per person in dollars t years since 2000. Use the equation to find the spending per person to the nearest cent in 2009.

A) $5885.34
B) $5885.33
C) $232805.22
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66
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   .

A) Not invertible
B) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
C) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
D) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
E) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
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67
Evaluate the rational expression for the given value. <strong>Evaluate the rational expression for the given value.   for  </strong> A) 2 B) 2.5 C)   D) undefined for <strong>Evaluate the rational expression for the given value.   for  </strong> A) 2 B) 2.5 C)   D) undefined

A) 2
B) 2.5
C) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 2 B) 2.5 C)   D) undefined
D) undefined
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68
Your co-worker is getting married. The bride and groom charter a bus to bring the wedding guests to the lake site of the ceremony. The cost per person taking the bus is <strong>Your co-worker is getting married. The bride and groom charter a bus to bring the wedding guests to the lake site of the ceremony. The cost per person taking the bus is   where c is dollars per person and n is the number of people. Find the cost per person to the nearest cent if 42 people will ride the bus.</strong> A) $12.00 B) $16.41 C) $16.40 where c is dollars per person and n is the number of people. Find the cost per person to the nearest cent if 42 people will ride the bus.

A) $12.00
B) $16.41
C) $16.40
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69
Find the values of the variable that must be excluded for the rational expression. <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)

A) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
B) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
C) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
D) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
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70
Evaluate the rational expression for the given value. <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined for <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined

A) 0.23
B) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined
C) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.23 B)   C)   D) undefined
D) undefined
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71
Your co-worker is getting married. A group of you agree to buy a gift together for $125. If n people share the cost of the gift the cost per person c is <strong>Your co-worker is getting married. A group of you agree to buy a gift together for $125. If n people share the cost of the gift the cost per person c is   where c is in dollars per person. Find the cost per person if 5 people share the cost.</strong> A) $125 B) $25 C) $5 where c is in dollars per person. Find the cost per person if 5 people share the cost.

A) $125
B) $25
C) $5
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72
Find the values of the variable that must be excluded for the rational expression. <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)

A) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
B) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
C) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
D) <strong>Find the values of the variable that must be excluded for the rational expression.  </strong> A)   B)   C)   D)
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73
Which one of the following is the constant matrix for the following systems of equations? <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the constant matrix for the following systems of equations?  </strong> A)   B)   C)   D)   E)
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74
Which one of the following is the coefficient matrix for the given system of equations? <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)

A) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)
B) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)
C) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)
D) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)
E) <strong>Which one of the following is the coefficient matrix for the given system of equations?  </strong> A)   B)   C)   D)   E)
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75
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)   .

A) Not invertible
B) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
C) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
D) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
E) <strong>Find the inverse matrix of   .</strong> A) Not invertible B)   C)   D)   E)
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76
Your co-worker is getting married. A group of you agree to pay for a luncheon for the bride. Both the bride and groom are invited to the luncheon but neither of them pays the cost of the meal. The cost per person paying for the luncheon is <strong>Your co-worker is getting married. A group of you agree to pay for a luncheon for the bride. Both the bride and groom are invited to the luncheon but neither of them pays the cost of the meal. The cost per person paying for the luncheon is   where c is dollars per person and n is the number of paying people. Find the cost per person if 12 people share the cost.</strong> A) $21 B) $20 C) $18 where c is dollars per person and n is the number of paying people. Find the cost per person if 12 people share the cost.

A) $21
B) $20
C) $18
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77
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   .

A) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
B) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
C) Not invertible
D) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
E) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
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78
Evaluate the rational expression for the given value. <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.25 B) 2.5 C)   D) undefined for <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.25 B) 2.5 C)   D) undefined

A) 0.25
B) 2.5
C) <strong>Evaluate the rational expression for the given value.   for  </strong> A) 0.25 B) 2.5 C)   D) undefined
D) undefined
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79
Find the inverse matrix of <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)   .

A) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
B) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
C) Not invertible
D) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
E) <strong>Find the inverse matrix of   .</strong> A)   B)   C) Not invertible D)   E)
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80
Find the solution to the given matrix by solving the matrix equation <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)   . <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)

A) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)
B) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)
C) No solution
D) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)
E) <strong>Find the solution to the given matrix by solving the matrix equation   .  </strong> A)   B)   C) No solution D)   E)
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