Question 1

Perform the indicated operations and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Factor by grouping.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

The future value of a simple-interest investment of Q dollars at an annual interest rate r for s years is given by the expression . Factor this expression.

Accepted Answer

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B)   
C)   
D)   
E)

Question 4

Factor the following expression for the maximum power in a certain electrical circuit.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Factor the expression completely.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Perform the indicated operations and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Factor by finding the common monomial factor.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

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

Accepted Answer

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

Question 9

Simplify by combining like terms.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Evaluate when

Accepted Answer

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

Question 11

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%.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Factor the expression completely.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

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

Accepted Answer

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

Question 14

Factor the expression as a product of binomials.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Perform the indicated operations and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Simplify by combining like terms.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

Suppose that squares of size x are cut from four corners of an 6-by-6-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Perform the indicated operations and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Factor the expression as a product of binomials.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 15: Algebraic Concepts 5

Perform the indicated operations and simplify.

Factor by grouping.

The future value of a simple-interest investment of Q dollars at an annual interest rate r for s years is given by the expression . Factor this expression.

Factor the following expression for the maximum power in a certain electrical circuit.

Factor the expression completely.

Perform the indicated operations and simplify.

Factor by finding the common monomial factor.

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

Simplify by combining like terms.

Evaluate when

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%.

Factor the expression completely.

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

Factor the expression as a product of binomials.

Perform the indicated operations and simplify.

Simplify by combining like terms.

Suppose that squares of size x are cut from four corners of an 6-by-6-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression.

Perform the indicated operations and simplify.

Factor the expression as a product of binomials.