تكلم مع الذكاء الاصطناعي
Deck 1: Linear Equations
ملء الشاشة (f)
سؤال
Use back-substitution to solve the system of linear equations. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the system of equations by using graphical methods.
A)
B)
C)
D)
E) There are infinitely many solutions.
A)
B)
C)
D)
E) There are infinitely many solutions.
سؤال
Solve the system of equations by using graphical methods.
A)
B)
C)
D)
E) There is no solution to the equations.
A)
B)
C)
D)
E) There is no solution to the equations.
سؤال
Solve using any method.
A)
B)
C)
D)
, where a is any real number
E) inconsistent
A)
B)
C)
D)
, where a is any real numberE) inconsistent
سؤال
Solve the system. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the system of linear equations. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the system of linear equations. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the system of linear equations. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form. 
A) row-echelon form
B) row-echelon form and reduced row-echelon form
C) neither
A) row-echelon form
B) row-echelon form and reduced row-echelon form
C) neither
سؤال
Find the solution set of the system of linear equations in the variables x and y (in that order) that has the following augmented matrix. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables x, y, and z.) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The given matrix is an augmented matrix representing a system of linear equations. Find the solution of the system. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 
A)
B)
C)
D)
E) no solution
A)
B)
C)
D)
E) no solution
سؤال
Use Gaussian elimination method to solve the system of linear equations. 
A)
B)
C)
D)
E) inconsistent system
A)
B)
C)
D)
E) inconsistent system
سؤال
Solve the following system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. If there is no solution, state that the system is inconsistent. 
A)
B)
C)
D) inconsistent system
E)
A)
B)
C)
D) inconsistent system
E)
سؤال
Find the equation of the parabola 
that passes through the points 
.
A)
B)
C)
D)
E)
that passes through the points .A)
B)
C)
D)
E)
سؤال
Find the equation of the circle 
that passes through the points 
.
A)
B)
C)
D)
E)
that passes through the points .A)
B)
C)
D)
E)
سؤال
Suppose that the U. S. population for the years 1920, 1930, 1940, and 1950 is shown in the table below. Let x represent the number of decades since 1920. Find a cubic polynomial 
that fits these data 
A)
B)
C)
D)
E)
that fits these data A)
B)
C)
D)
E)
سؤال
Suppose that the U. S. population for the years 1920, 1930, 1940, and 1950 is shown in the table below. Let x represent the number of decades since 1920. Estimate the population in 1970 by using a cubic polynomial that fits these data. 
A) 448 million
B) 278 million
C) 236 million
D) 298 million
E) 210 million
A) 448 million
B) 278 million
C) 236 million
D) 298 million
E) 210 million
سؤال
Suppose that the net profit (in millions of dollars) for Microsoft from 2000 to 2007 is shown in the table below. 
A cubic model that matches the data for the years 2001, 2003, 2005, and 2007 is to be determined where x represents the number of years since 2000. Set up a system of equations to solve for the coefficients a0, a1, a2 and a3.
A)
B)
C)
D)
E)
A cubic model that matches the data for the years 2001, 2003, 2005, and 2007 is to be determined where x represents the number of years since 2000. Set up a system of equations to solve for the coefficients a0, a1, a2 and a3.
A)
B)
C)
D)
E)
سؤال
Irrigation. An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the system at A and exits at B, C, D, and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points and solve the system.
A)
, 
, 
, 
, 
(in thousands of gallons)
B)
, 
, 
, 
, 
(in thousands of gallons)
C)
, 
, 
, 
, 
(in thousands of gallons)
D)
, 
, 
, 
, 
(in thousands of gallons)
E)
, 
, 
, 
, 
(in thousands of gallons)
A)
, , , , (in thousands of gallons)B)
, , , , (in thousands of gallons)C)
, , , , (in thousands of gallons)D)
, , , , (in thousands of gallons)E)
, , , , (in thousands of gallons) سؤال
Traffic flow. In the analysis of traffic flow, a certain city estimates the following situation for the "square" of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x1 represents the number of cars traveling between intersections A and B, x2 represents the number of cars traveling between B and C, x3 the number between C and D, and x4 the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain
Formulate equations for the traffic at B, C, and D. Solve the system of these four equations.
A)
, 
, 
, 
B)
, 
, 
, 
C)
, 
, 
, 
D)
, 
, 
, 
E)
, 
, 
, 
Formulate equations for the traffic at B, C, and D. Solve the system of these four equations.
A)
, , , B)
, , , C)
, , , D)
, , , E)
, , , سؤال
Applying Kirchhoff's Laws to the electrical network in the figure, the currents I1, I2, and I3 are the solution of the system
A)
amperes; 
amperes; 
amperes
B)
amperes; 
amperes; 
amperes
C)
amperes; 
amperes; 
amperes
D)
amperes; 
amperes; 
amperes
E)
amperes; 
amperes; 
amperes
A)
amperes; amperes; amperesB)
amperes; amperes; amperesC)
amperes; amperes; amperesD)
amperes; amperes; amperesE)
amperes; amperes; amperes سؤال
Write the partial fraction decomposition of the rational expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use a system of equations to write the partial fraction decomposition of the rational expression 
.
Then solve the system using matrices.
A)
B)
C)
D)
E)
. Then solve the system using matrices.
A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 1: Linear Equations
1
Use back-substitution to solve the system of linear equations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Solve the system of equations by using graphical methods.
A)
B)
C)
D)
E) There are infinitely many solutions.
A)
B)
C)
D)
E) There are infinitely many solutions.
There are infinitely many solutions.
3
Solve the system of equations by using graphical methods.
A)
B)
C)
D)
E) There is no solution to the equations.
A)
B)
C)
D)
E) There is no solution to the equations.
4
Solve using any method.
A)
B)
C)
D) , where a is any real number
E) inconsistent
A)
B)
C)
D)
, where a is any real numberE) inconsistent
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5
Solve the system.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Solve the system of linear equations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Solve the system of linear equations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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8
Solve the system of linear equations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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9
Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form.
A) row-echelon form
B) row-echelon form and reduced row-echelon form
C) neither
A) row-echelon form
B) row-echelon form and reduced row-echelon form
C) neither
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10
Find the solution set of the system of linear equations in the variables x and y (in that order) that has the following augmented matrix.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables x, y, and z.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
The given matrix is an augmented matrix representing a system of linear equations. Find the solution of the system.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.
A)
B)
C)
D)
E) no solution
A)
B)
C)
D)
E) no solution
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14
Use Gaussian elimination method to solve the system of linear equations.
A)
B)
C)
D)
E) inconsistent system
A)
B)
C)
D)
E) inconsistent system
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15
Solve the following system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. If there is no solution, state that the system is inconsistent.
A)
B)
C)
D) inconsistent system
E)
A)
B)
C)
D) inconsistent system
E)
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16
Find the equation of the parabola that passes through the points .
A)
B)
C)
D)
E)
that passes through the points .A)
B)
C)
D)
E)
فتح الحزمة
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17
Find the equation of the circle that passes through the points .
A)
B)
C)
D)
E)
that passes through the points .A)
B)
C)
D)
E)
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18
Suppose that the U. S. population for the years 1920, 1930, 1940, and 1950 is shown in the table below. Let x represent the number of decades since 1920. Find a cubic polynomial that fits these data
A)
B)
C)
D)
E)
that fits these data A)
B)
C)
D)
E)
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19
Suppose that the U. S. population for the years 1920, 1930, 1940, and 1950 is shown in the table below. Let x represent the number of decades since 1920. Estimate the population in 1970 by using a cubic polynomial that fits these data.
A) 448 million
B) 278 million
C) 236 million
D) 298 million
E) 210 million
A) 448 million
B) 278 million
C) 236 million
D) 298 million
E) 210 million
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20
Suppose that the net profit (in millions of dollars) for Microsoft from 2000 to 2007 is shown in the table below.
A cubic model that matches the data for the years 2001, 2003, 2005, and 2007 is to be determined where x represents the number of years since 2000. Set up a system of equations to solve for the coefficients a0, a1, a2 and a3.
A)
B)
C)
D)
E)
A cubic model that matches the data for the years 2001, 2003, 2005, and 2007 is to be determined where x represents the number of years since 2000. Set up a system of equations to solve for the coefficients a0, a1, a2 and a3.
A)
B)
C)
D)
E)
فتح الحزمة
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فتح الحزمة
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21
Irrigation. An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the system at A and exits at B, C, D, and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points and solve the system.
A) , , , , (in thousands of gallons)
B) , , , , (in thousands of gallons)
C) , , , , (in thousands of gallons)
D) , , , , (in thousands of gallons)
E) , , , , (in thousands of gallons)
A)
, , , , (in thousands of gallons)B)
, , , , (in thousands of gallons)C)
, , , , (in thousands of gallons)D)
, , , , (in thousands of gallons)E)
, , , , (in thousands of gallons) فتح الحزمة
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22
Traffic flow. In the analysis of traffic flow, a certain city estimates the following situation for the "square" of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x1 represents the number of cars traveling between intersections A and B, x2 represents the number of cars traveling between B and C, x3 the number between C and D, and x4 the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain
Formulate equations for the traffic at B, C, and D. Solve the system of these four equations.
A) , , ,
B) , , ,
C) , , ,
D) , , ,
E) , , ,
Formulate equations for the traffic at B, C, and D. Solve the system of these four equations.
A)
, , , B)
, , , C)
, , , D)
, , , E)
, , , فتح الحزمة
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23
Applying Kirchhoff's Laws to the electrical network in the figure, the currents I1, I2, and I3 are the solution of the system
A) amperes; amperes; amperes
B) amperes; amperes; amperes
C) amperes; amperes; amperes
D) amperes; amperes; amperes
E) amperes; amperes; amperes
A)
amperes; amperes; amperesB)
amperes; amperes; amperesC)
amperes; amperes; amperesD)
amperes; amperes; amperesE)
amperes; amperes; amperes فتح الحزمة
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24
Write the partial fraction decomposition of the rational expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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25
Use a system of equations to write the partial fraction decomposition of the rational expression .
Then solve the system using matrices.
A)
B)
C)
D)
E)
. Then solve the system using matrices.
A)
B)
C)
D)
E)
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