Question 1

Factor the expression as a product of binomials.

Accepted Answer

A)   
B)   
C)   
D)   
E)    D

Question 2

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

Accepted Answer

A)   
B)   
C)   
D)   
E)    D

Question 3

Perform the indicated operations and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)    E

Question 4

When medicine is administered, the reaction (measured in change of blood pressure or temperature) can be modeled by (that is, described by) , where c is a positive constant and m is the amount of medicine absorbed into the blood. Factor the expression for the reaction.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

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

Accepted Answer

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

Question 7

What is the degree of the polynomial below?

Accepted Answer

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

Question 8

Factor the expression as a product of binomials.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Factor the expression completely.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Factor by grouping.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

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%.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

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

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

A)   yes
B)   no

Question 15

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.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

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

Accepted Answer

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

Question 17

Factor the expression completely.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Factor the expression completely.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

The consumer expenditure C for a commodity is the product of its market price p and the number of units demanded n. Suppose that for a certain commodity, the consumer expenditure is given by . Factor this in order to find an expression for the number of units demanded n.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Perform the indicated operations and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 15: Algebraic Concepts 5

Factor the expression as a product of binomials.

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. A) B) C) D) E)$

Perform the indicated operations and simplify.

When medicine is administered, the reaction (measured in change of blood pressure or temperature) can be modeled by (that is, described by) , where c is a positive constant and m is the amount of medicine absorbed into the blood. Factor the expression for the reaction.

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. A) B) C) D) E)$

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

What is the degree of the polynomial below?

Factor the expression as a product of binomials.

Factor the expression completely.

Factor by grouping.

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

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

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

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

Factor the expression completely.

Factor the expression completely.

The consumer expenditure C for a commodity is the product of its market price p and the number of units demanded n. Suppose that for a certain commodity, the consumer expenditure is given by . Factor this in order to find an expression for the number of units demanded n.

Perform the indicated operations and simplify.