Question 1

Completely factor the expression.

Accepted Answer

A)   
B)   
C)   
D)   
E)    A

Question 2

Simplify the complex fraction.

Accepted Answer

A)   
B)   
C)   
D)   
E)    B

Question 3

List the coefficients of the variable terms in the expression:

Accepted Answer

A)    , 
B)   
C)   
D)    ,  , 
E)    ,  ,  A

Question 4

Identify the rule of algebra illustrated by the statement.

Accepted Answer

A)  distributive property
B)  commutative property of multiplication
C)  associative property of multiplication
D)  commutative property of addition
E)  associative property of addition

Question 5

Write the polynomial in standard form.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Rationalize the denominator. Then simplify your answer.

Accepted Answer

A)   
B)   
C)   
D)   
E)   .

Question 7

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 417 feet above sea level. The elevation at the top of the mountain is 2187 feet above sea level. What is the height of the mountain?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Factor the expression by removing the common factor with the smaller exponent.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Determine which numbers in the set are irrational numbers. 
 ,  , 0,  ,  ,  ,

Accepted Answer

A)    ,  ,  , 
B)    ,  ,  , 
C)    ,  ,  ,  ,  , 
D)    , 0,  ,  , 
E)    ,  ,

Question 10

Perform the division and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Evaluate the expression without using a calculator.

Accepted Answer

A)   
B)   
C)   
D)  -4
E)  4

Question 12

Completely factor the expression.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Factor the trinomial.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Evaluate the expression.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Approximate the numbers and place the correct symbol () between them.

Accepted Answer

A)  -2.5 > 4
B)  -2.5 > 3.5
C)  -2.5 
D)  -2.5 
E)  -2.5 < -3.5

Question 16

Identify the degree and leading coefficient of the polynomial.

Accepted Answer

A)  degree: 3 leading coefficient: 4
B)  degree: 3 leading coefficient: 2
C)  degree: 2 leading coefficient: -7
D)  degree: 2 leading coefficient: -2
E)  degree: 2 leading coefficient: 2

Question 17

Evaluate the expression.

Accepted Answer

A)  2
B)  -10
C)  24
D)  -2
E)  10

Question 18

The double bar graph below shows the percents of associate degrees awarded to males and females for selected fields of study in the United States in 2003. Degrees awarded to females are graphed above degrees awarded to males.  How many fields of study were less than 40% male?

Accepted Answer

A)  7
B)  6
C)  3
D)  5
E)  4

Question 19

Use inequality notation to describe the set. 
v is at least -16 but less than 10

Accepted Answer

A)  -16 ≤\leq≤ v  ≤\leq≤  10
B)  10  ≤\leq≤  v  <\lt<  -16
C)  -16  <\lt<  v  <\lt< 10
D)  -16  ≤\leq≤  v  <\lt<  10
E)  10  ≤\leq≤  v  ≤\leq≤  -16

Question 20

Evaluate the expression.

Accepted Answer

A)  x
B)  (-1) 
C)  (-x) 
D)  6
E)  1

Exam 8: Prerequisites

Completely factor the expression.

Simplify the complex fraction. $Simplify the complex fraction. A) B) C) D) E)$

List the coefficients of the variable terms in the expression:

Identify the rule of algebra illustrated by the statement.

Write the polynomial in standard form.

Rationalize the denominator. Then simplify your answer.

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 417 feet above sea level. The elevation at the top of the mountain is 2187 feet above sea level. What is the height of the mountain?

Factor the expression by removing the common factor with the smaller exponent.

Determine which numbers in the set are irrational numbers. , , 0, , , ,

Perform the division and simplify.

Evaluate the expression without using a calculator.

Completely factor the expression.

Factor the trinomial.

Evaluate the expression.

Approximate the numbers and place the correct symbol (< or >) between them.

Identify the degree and leading coefficient of the polynomial.

Evaluate the expression.

The double bar graph below shows the percents of associate degrees awarded to males and females for selected fields of study in the United States in 2003. Degrees awarded to females are graphed above degrees awarded to males. How many fields of study were less than 40% male?

Use inequality notation to describe the set. v is at least -16 but less than 10

Evaluate the expression.