Question 1

Evaluate.
-(7)(-3)

Accepted Answer

A) -42 
B) -11 
C) -21 
D) 21 
A) -42 
B) -11 
C) -21 
D) 21

Question 2

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 Q a subset of R?

Accepted Answer

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

Question 3

$$\mathbf { Insert  , or =  in~ the ~blank~ to~ make ~the ~statement~ true. }$$
-$| - 21 |$_________$- 21$

Accepted Answer

A)   
A)

Question 4

Evaluate the expression.
-$\frac { 1 } { 4 ^ { - 2 } }$

Accepted Answer

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

Question 5

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth.
-$\sqrt { 42 }$

Accepted Answer

A) 6.482 
B) 6.557 
C) 6.481 
D) 6.491 
A) 6.482 
B) 6.557 
C) 6.481 
D) 6.491

Question 6

Express the number in scientific notation.
-0.0000055

Accepted Answer

A)  $5.5 \times 10 ^ { 7 }$ 
B)  $5.5 \times 10 ^ { - 6 }$ 
C)  $5.5 \times 10 ^ { 6 }$ 
D)  $5.5 \times 10 ^ { - 7 }$ 
A)  $5.5 \times 10 ^ { 7 }$ 
B)  $5.5 \times 10 ^ { - 6 }$ 
C)  $5.5 \times 10 ^ { 6 }$ 
D)  $5.5 \times 10 ^ { - 7 }$

Question 7

$\mathbf { Find~ A \cup R ~and A \cap R~ for~ the~ sets~ A~ and~ B}$
-$A = \{ - 3 , - 2 , - 1 \} , B = \{ 0,1,2 \}$

Accepted Answer

A)  $\begin{array} { l } 
A \cup B = \{ \} \
A \cap B = \{ - 3 , - 2 , - 1,0,2 \}
\end{array}$ 
B)  $\begin{array} { l } 
A \cup B = \{ - 3 , - 2 , - 1,0,2 \} \
A \cap B = \{ \}
\end{array}$ 
C)  $\begin{array} { l } 
A \cup B = \{ \} \
A \cap B = \{ - 3 , - 2 , - 1,0,1,2 \}
\end{array}$ 
D)  $\begin{array} { l } 
A \cup B = \{ - 3 , - 2 , - 1,0,1,2 \} \
A \cap B = \{ \}
\end{array}$ 
A)  $\begin{array} { l } 
A \cup B = \{ \} \
A \cap B = \{ - 3 , - 2 , - 1,0,2 \}
\end{array}$ 
B)  $\begin{array} { l } 
A \cup B = \{ - 3 , - 2 , - 1,0,2 \} \
A \cap B = \{ \}
\end{array}$ 
C)  $\begin{array} { l } 
A \cup B = \{ \} \
A \cap B = \{ - 3 , - 2 , - 1,0,1,2 \}
\end{array}$ 
D)  $\begin{array} { l } 
A \cup B = \{ - 3 , - 2 , - 1,0,1,2 \} \
A \cap B = \{ \}
\end{array}$

Question 8

Evaluate the expression.
-$- 3 x ^ { 0 }$

Accepted Answer

A) -2 
B) -3 
C)  $- 3 x + 1$ 
D) -6 
A) -2 
B) -3 
C)  $- 3 x + 1$ 
D) -6

Question 9

Illustrate the set on a number line.
-$\{ p \mid - 4 \leq p \leq - 3 \}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

$$\mathbf { Insert  , or =  in~ the ~blank~ to~ make ~the ~statement~ true. }$$
-$| - 8 |$ _______ $- | - 5 |$

Accepted Answer

A)   
C) = 
A)   
C) =

Question 11

Illustrate the set on a number line.
-$\{ \mathrm { t } \mid \mathrm { t } \geq 8 \}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

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

Accepted Answer

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

Question 13

Evaluate.
-$| - 25 | + 5$

Accepted Answer

A) -30 
B) -20 
C) 20 
D) 30 
A) -30 
B) -20 
C) 20 
D) 30

Question 14

Write an algebraic expression for the problem. Then evaluate the expression for the given value of the variable.
-Multiply the variable x by 11. From this product subtract 6. Now divide this difference by 2. Find the value of this expression when x = -10.

Accepted Answer

A)  $\frac { 11 x - 6 } { 2 } , - 55$ 
B)  $\frac { 11 x - 6 } { 2 } , - 52$ 
C)  $\frac { 11 x - 6 } { 2 } , - 58$ 
D)  $\frac { 11 x } { 2 } - 6 , - 58$ 
A)  $\frac { 11 x - 6 } { 2 } , - 55$ 
B)  $\frac { 11 x - 6 } { 2 } , - 52$ 
C)  $\frac { 11 x - 6 } { 2 } , - 58$ 
D)  $\frac { 11 x } { 2 } - 6 , - 58$

Question 15

Express the value in scientific notation.
-$\frac { 6 \times 10 ^ { - 3 } } { 2 \times 10 ^ { 2 } }$

Accepted Answer

A)  $6 \times 10 ^ { - 5 }$ 
B)  $6 \times 10 ^ { - 1 }$ 
C)  $3 \times 10 ^ { - 5 }$ 
D)  $3 \times 10 ^ { - 1 }$ 
A)  $6 \times 10 ^ { - 5 }$ 
B)  $6 \times 10 ^ { - 1 }$ 
C)  $3 \times 10 ^ { - 5 }$ 
D)  $3 \times 10 ^ { - 1 }$

Question 16

Simplify the expression and write the answer without negative exponents.
-$\frac { 3 ^ { - 8 } } { 3 ^ { - 2 } }$

Accepted Answer

A)  $\frac { 1 } { 59049 }$ 
B)  $\frac { 1 } { 729 }$ 
C) 59,049 
D) 729 
A)  $\frac { 1 } { 59049 }$ 
B)  $\frac { 1 } { 729 }$ 
C) 59,049 
D) 729

Question 17

Name the property illustrated by the statement.
-9 + 1 = 1 + 9

Accepted Answer

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

Question 18

Express the value in scientific notation.
-$\frac { 24,000,000,000,000 } { 0.0000004 }$

Accepted Answer

A)  $20 \times 10 ^ { 21 }$ 
B)  $20 \times 10 ^ { 20 }$ 
C) 6 × 1021 
D)  $6 \times 10 ^ { 20 }$ 
A)  $20 \times 10 ^ { 21 }$ 
B)  $20 \times 10 ^ { 20 }$ 
C) 6 × 1021 
D)  $6 \times 10 ^ { 20 }$

Question 19

Evaluate.
-$- \frac { 4 } { 5 } - \left( - \frac { 7 } { 10 } \right)$

Accepted Answer

A)  $- \frac { 1 } { 10 }$ 
B)  $- \frac { 11 } { 10 }$ 
C)  $- \frac { 3 } { 10 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $- \frac { 1 } { 10 }$ 
B)  $- \frac { 11 } { 10 }$ 
C)  $- \frac { 3 } { 10 }$ 
D)  $\frac { 1 } { 10 }$

Question 20

Evaluate the expression.
-$( 2 ) ^ { 0 }$

Accepted Answer

A) 0 
B) 2 
C) 1 
D) -1 
A) 0 
B) 2 
C) 1 
D) -1

Evaluate. -(7)(-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 Q a subset of R?

$\mathbf { Insert < , > , or = in~ the ~blank~ to~ make ~the ~statement~ true. }$ - $| - 21 |$ _________ $- 21$

Evaluate the expression. - $\frac { 1 } { 4 ^ { - 2 } }$

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth. - $\sqrt { 42 }$

Express the number in scientific notation. -0.0000055

$\mathbf { Find~ A \cup R ~and A \cap R~ for~ the~ sets~ A~ and~ B}$ - $A = \{ - 3 , - 2 , - 1 \} , B = \{ 0,1,2 \}$

Evaluate the expression. - $- 3 x ^ { 0 }$

Illustrate the set on a number line. - $\{ p \mid - 4 \leq p \leq - 3 \}$ $Illustrate the set on a number line. - \{ p \mid - 4 \leq p \leq - 3 \}$

$\mathbf { Insert < , > , or = in~ the ~blank~ to~ make ~the ~statement~ true. }$ - $| - 8 |$ _______ $- | - 5 |$

Illustrate the set on a number line. - $\{ \mathrm { t } \mid \mathrm { t } \geq 8 \}$ $Illustrate the set on a number line. - \{ \mathrm { t } \mid \mathrm { t } \geq 8 \}$

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

Evaluate. - $| - 25 | + 5$

Write an algebraic expression for the problem. Then evaluate the expression for the given value of the variable. -Multiply the variable x by 11. From this product subtract 6. Now divide this difference by 2. Find the value of this expression when x = -10.

Express the value in scientific notation. - $\frac { 6 \times 10 ^ { - 3 } } { 2 \times 10 ^ { 2 } }$

Simplify the expression and write the answer without negative exponents. - $\frac { 3 ^ { - 8 } } { 3 ^ { - 2 } }$

Name the property illustrated by the statement. -9 + 1 = 1 + 9

Express the value in scientific notation. - $\frac { 24,000,000,000,000 } { 0.0000004 }$

Evaluate. - $- \frac { 4 } { 5 } - \left( - \frac { 7 } { 10 } \right)$

Evaluate the expression. - $( 2 ) ^ { 0 }$

Equations and Inequalities

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Polynomials and Polynomial Functions

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Characteristics of Functions and Their Graphs

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Exam 1: Basic Concepts

Evaluate. -(7)(-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 Q a subset of R?

Insert<,>,or=in the blank to make the statement true.\mathbf { Insert < , > , or = in~ the ~blank~ to~ make ~the ~statement~ true. }Insert<,>,or=in the blank to make the statement true. - ∣−21∣| - 21 |∣−21∣ _________ −21- 21−21

Evaluate the expression. - 14−2\frac { 1 } { 4 ^ { - 2 } }4−21​

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth. - 42\sqrt { 42 }42​