Question 1

Evaluate.
--12 + (-9)

Accepted Answer

A) -3 
B) -21 
C) 3 
D) 21 
A) -3 
B) -21 
C) 3 
D) 21

Question 2

Evaluate the expression.
-$- 4 ^ { - 2 }$

Accepted Answer

A)  $- \frac { 1 } { 16 }$ 
B) 16 
C)  $\frac { 1 } { 8 }$ 
D) -16 
A)  $- \frac { 1 } { 16 }$ 
B) 16 
C)  $\frac { 1 } { 8 }$ 
D) -16

Question 3

Evaluate the expression.
-$\left( \frac { 2 } { 5 } \right) ^ { 2 } \cdot \frac { 1 } { 2 }$

Accepted Answer

A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 2 } { 25 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $\frac { 4 } { 5 }$ 
A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 2 } { 25 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $\frac { 4 } { 5 }$

Question 4

Simplify the expression and write the answer without negative exponents.
-$\left( x ^ { - 3 } y ^ { 6 } \right) ^ { - 3 }$

Accepted Answer

A)  $\frac { y ^ { 3 } } { x ^ { - 6 } }$ 
B)  $\frac { x ^ { 9 } } { y ^ { 18 } }$ 
C)  $\frac { x ^ { - 6 } } { y ^ { 3 } }$ 
D)  $\frac { 1 } { x ^ { 9 } y ^ { 18 } }$ 
A)  $\frac { y ^ { 3 } } { x ^ { - 6 } }$ 
B)  $\frac { x ^ { 9 } } { y ^ { 18 } }$ 
C)  $\frac { x ^ { - 6 } } { y ^ { 3 } }$ 
D)  $\frac { 1 } { x ^ { 9 } y ^ { 18 } }$

Question 5

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers,
Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question.
-Is W a subset of N?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 6

List the values from smallest to largest.
-$\pi , - \pi , | - 5 | , - | - 5 | , | - 2 | , - | - 2 |$

Accepted Answer

A)  $- | - 5 | , - | - 2 | , - \pi , | - 2 | , \pi , | - 5 |$ 
B)  $- | - 5 | , - \pi , - | - 2 | , \pi , | - 2 | , | - 5 |$ 
C)  $- | - 5 | , - \pi , - | - 2 | , | - 2 | , | - 5 | , \pi$ 
D)  $- | - 5 | , - \pi , - | - 2 | , | - 2 | , \pi , | - 5 |$ 
A)  $- | - 5 | , - | - 2 | , - \pi , | - 2 | , \pi , | - 5 |$ 
B)  $- | - 5 | , - \pi , - | - 2 | , \pi , | - 2 | , | - 5 |$ 
C)  $- | - 5 | , - \pi , - | - 2 | , | - 2 | , | - 5 | , \pi$ 
D)  $- | - 5 | , - \pi , - | - 2 | , | - 2 | , \pi , | - 5 |$

Question 7

Evaluate the expression.
-$4 x y z ^ { 0 }$

Accepted Answer

A) 4xy 
B) 1 
C) 0 
D) 4 
A) 4xy 
B) 1 
C) 0 
D) 4

Question 8

Evaluate.
--10 ·10

Accepted Answer

A) -200 
B) -110 
C) -100 
D) -1000 
A) -200 
B) -110 
C) -100 
D) -1000

Question 9

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth.
-$( 13 ) ^ { 2 } - ( 4.9 ) ^ { 2 } + ( - 2.4 ) ^ { 3 }$

Accepted Answer

A) 179.186 
B) 158.814 
C) 2085.111 
D) 131.166 
A) 179.186 
B) 158.814 
C) 2085.111 
D) 131.166

Question 10

Express in set builder notation the set of numbers indicated on the number line.
-

Accepted Answer

A)  $\{ x \mid - 2 \leq x \leq 6 \}$ 
B)  $\{ x \mid - 2 < x \leq 6 \}$ 
C)  $\{ x \mid - 2 < x < 6 \}$ 
D)  $\{ x \mid - 2 \leq x < 6 \}$ 
A)  $\{ x \mid - 2 \leq x \leq 6 \}$ 
B)  $\{ x \mid - 2 < x \leq 6 \}$ 
C)  $\{ x \mid - 2 < x < 6 \}$ 
D)  $\{ x \mid - 2 \leq x < 6 \}$

Question 11

Evaluate the expression.
-$\left( \frac { 1 } { 4 } \right) ^ { - 1 }$

Accepted Answer

A) 4 
B)  $\frac { 1 } { 4 }$ 
C) -4 
D)  $- \frac { 1 } { 4 }$ 
A) 4 
B)  $\frac { 1 } { 4 }$ 
C) -4 
D)  $- \frac { 1 } { 4 }$

Question 12

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers,
Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question.
-Is I a subset of Q?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 13

Name the property illustrated by the statement.
-6 + 0 = 6

Accepted Answer

A) identity property of addition 
B) associative property of addition 
C) distributive property 
D) commutative property of addition 
A) identity property of addition 
B) associative property of addition 
C) distributive property 
D) commutative property of addition

Question 14

Simplify the expression and write the answer without negative exponents.
-$\left( \frac { x y ^ { 4 } } { x ^ { 3 } y } \right) ^ { - 2 }$

Accepted Answer

A)  $\frac { y ^ { 6 } } { x ^ { 4 } }$ 
B)  $\frac { 1 } { x ^ { 8 } y ^ { 10 } }$ 
C)  $\frac { 1 } { x ^ { 5 } y ^ { 9 } }$ 
D)  $\frac { x ^ { 4 } } { y ^ { 6 } }$ 
A)  $\frac { y ^ { 6 } } { x ^ { 4 } }$ 
B)  $\frac { 1 } { x ^ { 8 } y ^ { 10 } }$ 
C)  $\frac { 1 } { x ^ { 5 } y ^ { 9 } }$ 
D)  $\frac { x ^ { 4 } } { y ^ { 6 } }$

Question 15

Name the property illustrated by the statement.
-(9 ·8)·5 = 9 · (8 ·5)

Accepted Answer

A) commutative property of multiplication 
B) associative property of multiplication 
C) identity property of multiplication 
D) distributive property 
A) commutative property of multiplication 
B) associative property of multiplication 
C) identity property of multiplication 
D) distributive property

Question 16

Evaluate the expression.
-$( 2 \cdot 3 ) ^ { 3 }$

Accepted Answer

A) 216 
B) 54 
C) 35 
D) 512 
A) 216 
B) 54 
C) 35 
D) 512

Question 17

Simplify the expression and write the answer without negative exponents.
-$\frac { x ^ { - 8 } } { x ^ { 4 } }$

Accepted Answer

A)  $\frac { 1 } { x ^ { 12 } }$ 
B) x12 
C)  $\frac { 1 } { x ^ { 32 } }$ 
D)  $\frac { 1 } { x ^ { 4 } }$ 
A)  $\frac { 1 } { x ^ { 12 } }$ 
B) x12 
C)  $\frac { 1 } { x ^ { 32 } }$ 
D)  $\frac { 1 } { x ^ { 4 } }$

Question 18

$$\mathbf { Insert  , or =  in~ the ~blank~ to~ make ~the ~statement~ true. }$$
-$| - 7 |$_______$- 1$

Accepted Answer

A)   
A)

Question 19

Evaluate the expression.
-$5 ^ { 3 } - 2 ^ { 2 } + 2 ^ { 3 } - 5 ^ { 2 }$

Accepted Answer

A) -104 
B) -96 
C) 104 
D) 96 
A) -104 
B) -96 
C) 104 
D) 96

Question 20

Evaluate.
--10 - (-4)

Accepted Answer

A) -14 
B) 6 
C) 14 
D) -6 
A) -14 
B) 6 
C) 14 
D) -6

Evaluate. --12 + (-9)

Evaluate the expression. - $- 4 ^ { - 2 }$

Evaluate the expression. - $\left( \frac { 2 } { 5 } \right) ^ { 2 } \cdot \frac { 1 } { 2 }$

Simplify the expression and write the answer without negative exponents. - $\left( x ^ { - 3 } y ^ { 6 } \right) ^ { - 3 }$

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers, Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question. -Is W a subset of N?

List the values from smallest to largest. - $\pi , - \pi , | - 5 | , - | - 5 | , | - 2 | , - | - 2 |$

Evaluate the expression. - $4 x y z ^ { 0 }$

Evaluate. --10 ·10

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth. - $( 13 ) ^ { 2 } - ( 4.9 ) ^ { 2 } + ( - 2.4 ) ^ { 3 }$

Express in set builder notation the set of numbers indicated on the number line. -

Evaluate the expression. - $\left( \frac { 1 } { 4 } \right) ^ { - 1 }$

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers, Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question. -Is I a subset of Q?

Name the property illustrated by the statement. -6 + 0 = 6

Simplify the expression and write the answer without negative exponents. - $\left( \frac { x y ^ { 4 } } { x ^ { 3 } y } \right) ^ { - 2 }$

Name the property illustrated by the statement. -(9 ·8)·5 = 9 · (8 ·5)

Evaluate the expression. - $( 2 \cdot 3 ) ^ { 3 }$

Simplify the expression and write the answer without negative exponents. - $\frac { x ^ { - 8 } } { x ^ { 4 } }$

$\mathbf { Insert < , > , or = in~ the ~blank~ to~ make ~the ~statement~ true. }$ - $| - 7 |$ _______ $- 1$

Evaluate the expression. - $5 ^ { 3 } - 2 ^ { 2 } + 2 ^ { 3 } - 5 ^ { 2 }$

Evaluate. --10 - (-4)

Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

Filters

Exam 1: Basic Concepts