Deck 15: Algebraic Concepts 5

Question 1

A polynomial is an expression of form , where n is a positive integer. For the polynomial what is ?

A) 0
B) 2
C) 13
D)
E) 4

Answer 1

Question 2

Evaluate the algebraic expression at the indicated values of the variables. at and

A) 9
B) -9
C) 27
D) 3
E) 21

Answer 2

27

Question 3

What is the coefficient of the highest-degree term in the polynomial below?

A) 5
B)
C) 2
D) 6
E) 4

Answer 3

Question 4

Determine whether the following expression is a polynomial of one variable.

Question 5

What is the constant term in the polynomial below?

A) 0
B) 9
C) 7
D) 8
E) 6

Question 6

Evaluate when

A) 114.7388
B) 10,342.4865
C) 147,749.8073
D) 723.9741
E) 1639.1260

Question 7

What is the degree of the polynomial below?

A) 6
B) 3
C) 9
D) 2
E) 4

Question 8

What is the coefficient of the highest-degree term in the polynomial below?

A) 5
B) 2
C) 6
D) 9
E) 7

Question 9

A polynomial is an expression of the form , where n is a positive integer. For the polynomial what is ?

A) 0
B) 9
C)
D)
E) 4

Question 10

Simplify by combining like terms.

A)
B)
C)
D)
E)

Question 11

Simplify by combining like terms.

A)
B)
C)
D)
E)

Question 12

Simplify by combining like terms.

A)
B)
C)
D)
E)

Question 13

What is the the constant term in the polynomial below?

A) 6
B) 9
C) 5
D) 7
E)

Question 14

A polynomial is an expression of the form , where n is a positive integer. For the polynomial what is ?

A) 0
B) 14
C)
D)
E) 3

Question 15

Evaluate the algebraic expression at the indicated value of the variable. at

A)
B)
C) 2
D)
E)

Question 16

Simplify by combining like terms.

A) 0
B)
C)
D)
E)

Question 17

Determine whether the following expression is a polynomial of one variable.

A) yes
B) no

Question 18

What is the degree of the polynomial below?

A) 5
B) 4
C) 7
D) 2
E) 9

Question 19

Simplify by combining like terms.

A)
B)
C)
D)
E)

Question 20

A polynomial is an expression of the form , where n is a positive integer. For the polynomial what is ?

A) 0
B) 13
C) 6
D) 14
E) 3

Question 21

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 22

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 23

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 24

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 25

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 26

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 27

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 28

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 29

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 30

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 31

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 32

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 33

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 34

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 35

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 36

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 37

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 38

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 39

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 40

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 41

Factor by finding the common monomial factor.

A)
B)
C)
D)
E)

Question 42

Perform the indicated operations with expressions involving fractional exponents and then simplify.

A)
B)
C)
D)
E)

Question 43

Cell Pro makes cell phones and has total weekly costs of $1500 for rent, utilities, and equipment, in addition to labor and material costs of $15.25 for each phone it makes. Assume that Cell Pro sells the phones to dealers for $40.50 each. Choose the expression for the weekly total revenue for the phones, where x is the number of phones made and sold each week.

A)
B)
C)
D)
E)

Question 44

Perform the indicated operations with expressions involving fractional exponents and then simplify.

A)
B)
C)
D)
E)

Question 45

Perform the indicated operations with expressions involving fractional exponents and then simplify.

A)
B)
C)
D)
E)

Question 46

Cell Pro makes cell phones and has total weekly costs of $2000 for rent, utilities, and equipment, in addition to labor and material costs of $17.5 for each phone it makes. If x represents the number of phones produced and sold, choose the expression for Cell Pro's weekly costs.

A)
B)
C)
D)
E)

Question 47

Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing x cc of a 20% solution and y cc of a 5% solution. Express the total amount of the ingredient in the mixture in terms of x.

A)
B)
C)
D)
E)

Question 48

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 49

Suppose that you have $7000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the interest earned on the money invested at 8%.

A)
B)
C)
D)
E)

Question 50

Suppose a company's revenue R (in dollars) from the sale of x units of its product is given by . Suppose further that the total costs C (in dollars) of producing those x units is given by . If profit is revenue minus cost, find the expression for the profit from the production and sale of x units.

A)
B)
C)
D)
E)

Question 51

Cell Pro makes cell phones and has total weekly costs of $1500 for rent, utilities, and equipment, in addition to labor and material costs of $16.25 for each phone it makes. Cell Pro's weekly profit is the total revenue minus the total cost. Choose the expression for Cell Pro's weekly profit if each phone sells for $43.50, where x is the number of phones made and sold each week.

A)
B)
C)
D)
E)

Question 52

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 53

Factor by finding the common monomial factor.

A)
B)
C)
D)
E)

Question 54

Perform the indicated operations with expressions involving fractional exponents and then simplify.

A)
B)
C)
D)
E)

Question 55

Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing x cc of a 20% solution and y cc of a 5% solution. Choose the expression for y in terms of x.

A)
B)
C)
D)
E)

Question 56

Perform the indicated operations with expressions involving radicals and then simplify.

A)
B)
C)
D)
E)

Question 57

Factor by finding the common monomial factor.

A)
B)
C)
D)
E)

Question 58

Suppose that you have $9000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the amount invested at 8%.

A)
B)
C)
D)
E)

Question 59

Perform the indicated operations with expressions involving fractional exponents and then simplify.

A)
B)
C)
D)
E)

Question 60

Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing x cc of a 20% solution and y cc of a 5% solution. Choose the expression for the amount of ingredient in the 5% solution.

A)
B)
C)
D)
E)

Question 61

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 62

Factor the expression completely.

A)
B)
C)
D)
E)

Question 63

Factor the expression completely.

A)
B)
C)
D)
E)

Question 64

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 65

Factor the expression completely.

A)
B)
C)
D)
E)

Question 66

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 67

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 68

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 69

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 70

Factor the expression completely.

A)
B)
C)
D)
E)

Question 71

Factor by grouping.

A)
B)
C)
D)
E)

Question 72

Factor the expression completely.

A)
B)
C)
D)
E)

Question 73

Factor the expression completely.

A)
B)
C)
D)
E)

Question 74

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 75

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 76

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 77

Factor the expression as a product of binomials.

A)
B)
C)
D)
E)

Question 78

Factor by grouping.

A)
B)
C)
D)
E)

Question 79

Factor the expression completely.

A)
B)
C)
D)
E)

Question 80

Factor by grouping.

A)
B)
C)
D)
E)