Question 1

Find the absolute value.
-|24|

Accepted Answer

A)  0 
B)   -24 
C)  24 
D)  48 
A)  0 
B)   -24 
C)  24 
D)  48

Question 2

Determine if the statement is true or false.
-2>4

Accepted Answer

A) True 
 B)False

Question 3

Use the distributive property to multiply.
- -9(x+4)

Accepted Answer

A)   -9 x-36 
B)   x-36 
C)   -9x +36 
D)   -9x +4 
A)   -9 x-36 
B)   x-36 
C)   -9x +36 
D)   -9x +4

Question 4

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$x ^ { 3 a } \cdot x ^ { 6 a }$

Accepted Answer

A)  $a x ^ { 18 }$ 
B)  $a x ^ { 9 }$ 
C)  $\mathrm { x } ^ { 18 a }$ 
D)  $x ^ { 9 a }$ 
A)  $a x ^ { 18 }$ 
B)  $a x ^ { 9 }$ 
C)  $\mathrm { x } ^ { 18 a }$ 
D)  $x ^ { 9 a }$

Question 5

Write the sentence as an equation.
-Thirty-nine increased by  x  equals 55 .

Accepted Answer

A)   39 x=55 
B)   39-x=55 
C)   39+x=55 
D)   39+55=x 
A)   39 x=55 
B)   39-x=55 
C)   39+x=55 
D)   39+55=x

Question 6

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\frac { x ^ { 9 t - 7 } } { x ^ { 2 t - 5 } }$

Accepted Answer

A)  $x ^ { - 7 t } + 2$ 
B)  $x ^ { 11 t } - 12$ 
C)  $x ^ { 7 t - 2 }$ 
D)  $x ^ { 7 t - 12 }$ 
A)  $x ^ { - 7 t } + 2$ 
B)  $x ^ { 11 t } - 12$ 
C)  $x ^ { 7 t - 2 }$ 
D)  $x ^ { 7 t - 12 }$

Question 7

Use the product rule to simplify the expression.
-$\left( - 9 x ^ { 7 } y \right) \left( 5 x ^ { 2 } y ^ { 2 } \right)$

Accepted Answer

A)  $- 45 x ^ { 9 } y ^ { 3 }$ 
B)  $45 x ^ { 9 } y ^ { 2 }$ 
C)  $45 x ^ { 9 } y ^ { 3 }$ 
D)  $- 45 x ^ { 9 } y ^ { 2 }$ 
A)  $- 45 x ^ { 9 } y ^ { 3 }$ 
B)  $45 x ^ { 9 } y ^ { 2 }$ 
C)  $45 x ^ { 9 } y ^ { 3 }$ 
D)  $- 45 x ^ { 9 } y ^ { 2 }$

Question 8

Write the sentence as an equation.
-The sum of  -15  and  x  amounts to  -17 .

Accepted Answer

A)   x-17=-15 
B)   x=-15+17 
C)   -15+x=-17 
D)   -15-17=x 
A)   x-17=-15 
B)   x=-15+17 
C)   -15+x=-17 
D)   -15-17=x

Question 9

Simplify and write with positive exponents only.
-$9 - 1 + 8 ^ { - 1 }$

Accepted Answer

A) $\frac { 17 } { 72 }$ 
B)   $\frac { 72 } { 17 }$ 
C)  2 
D)  1 
A) $\frac { 17 } { 72 }$ 
B)   $\frac { 72 } { 17 }$ 
C)  2 
D)  1

Question 10

Simplify the expression.
-$- 0.60 ( 3.2 - 8 ) ^ { 2 }$

Accepted Answer

A)   44.544 
B)   13.824 
C)   -44.544 
D)   -13.824 
A)   44.544 
B)   13.824 
C)   -44.544 
D)   -13.824

Question 11

Find the root.
-$\sqrt { \frac { 1 } { 49 } }$

Accepted Answer

A)  $\frac { 1 } { 7 }$ 
B)  14 
C)  7 
D)  $\frac { 1 } { 14 }$ 
A)  $\frac { 1 } { 7 }$ 
B)  14 
C)  7 
D)  $\frac { 1 } { 14 }$

Question 12

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
-A(n) _____  is formed by numbers and variables connected by the operations of addition, subtraction, multiplication, division, raising to powers, and/or taking roots.

Accepted Answer

A)  inequality 
B)  algebraic expression 
C)  variable 
D)  exponent 
A)  inequality 
B)  algebraic expression 
C)  variable 
D)  exponent

Question 13

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\left( \frac { x ^ { 8 t } } { x ^ { 3 t - 6 } } \right) ^ { 3 }$

Accepted Answer

A)  $3 x ^ { t + 6 }$ 
B)  $x ^ { 15 } t + 18$ 
C)  $3 x ^ { 15 t } - 18$ 
D)  $x ^ { 24 t }$ 
A)  $3 x ^ { t + 6 }$ 
B)  $x ^ { 15 } t + 18$ 
C)  $3 x ^ { 15 t } - 18$ 
D)  $x ^ { 24 t }$

Question 14

Simplify. Write the answer using positive exponents only.
-$( - 2 p q r ) ^ { 2 }$

Accepted Answer

A)  $4 p ^ { 2 } q ^ { 2 } r ^ { 2 }$ 
B)  $- 4 p ^ { 2 } q ^ { 2 } r ^ { 2 }$ 
C)  $- 4 p q r$ 
D)  $\text { 4pqr }$ 
A)  $4 p ^ { 2 } q ^ { 2 } r ^ { 2 }$ 
B)  $- 4 p ^ { 2 } q ^ { 2 } r ^ { 2 }$ 
C)  $- 4 p q r$ 
D)  $\text { 4pqr }$

Question 15

Find the opposite (or additive inverse) of the number.
-15

Accepted Answer

A)   -15 
B)   $\frac { 1 } { 15 }$ 
C)  0 
D)  15 
A)   -15 
B)   $\frac { 1 } { 15 }$ 
C)  0 
D)  15

Question 16

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\frac { 12 x ^ { 6 } a + b y 4 a - b } { - 3 x ^ { a } + 5 b _ { y } a - 2 b }$

Accepted Answer

A)  $-4 x^{5} a-4 b_{y}^{3 a-3 b}$ 
B)  $4 x ^ { 5 } a - 4 b y ^ { 3 a + b }$ 
C)  $- 4 x ^ { 5 } a - 4 b _ { y } ^ { 3 a } + b$ 
D)  $-4 x^{5 a}+6 b_{y} 3 a+b$ 
A)  $-4 x^{5} a-4 b_{y}^{3 a-3 b}$ 
B)  $4 x ^ { 5 } a - 4 b y ^ { 3 a + b }$ 
C)  $- 4 x ^ { 5 } a - 4 b _ { y } ^ { 3 a } + b$ 
D)  $-4 x^{5 a}+6 b_{y} 3 a+b$

Question 17

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
-The of a number is the distance between that number and 0 on the number line.

Accepted Answer

A) absolute value 
B)  opposite 
C)  variable 
D)  exponent 
A) absolute value 
B)  opposite 
C)  variable 
D)  exponent

Question 18

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
-The symbols  are called symbols.

Accepted Answer

A)  absolute value 
B)  opposite 
C)  variable 
D)  inequality 
A)  absolute value 
B)  opposite 
C)  variable 
D)  inequality

Question 19

Simplify the expression.
-$\frac { 7 + ( - 5 ) ^ { 2 } + 8 \cdot 8 ^ { 2 } } { 8 ^ { 2 } \cdot ( 7 - 5 ) }$

Accepted Answer

A)  2 
B)   $\frac { 17 } { 4 }$ 
C)   $\frac { 472 } { 51 }$ 
D)  1 
A)  2 
B)   $\frac { 17 } { 4 }$ 
C)   $\frac { 472 } { 51 }$ 
D)  1

Question 20

Simplify and write with positive exponents only.
-$- ( - 3 ) ^ { - 4 }$

Accepted Answer

A)   -$\frac { 1 } { 81 }$ 
B)  81 
C)   -81 
D)   $\frac { 1 } { 81 }$ 
A)   -$\frac { 1 } { 81 }$ 
B)  81 
C)   -81 
D)   $\frac { 1 } { 81 }$

Find the absolute value. -|24|

Determine if the statement is true or false. -2>4

Use the distributive property to multiply. - -9(x+4)

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $x ^ { 3 a } \cdot x ^ { 6 a }$

Write the sentence as an equation. -Thirty-nine increased by x equals 55 .

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\frac { x ^ { 9 t - 7 } } { x ^ { 2 t - 5 } }$

Use the product rule to simplify the expression. - $\left( - 9 x ^ { 7 } y \right) \left( 5 x ^ { 2 } y ^ { 2 } \right)$

Write the sentence as an equation. -The sum of -15 and x amounts to -17 .

Simplify and write with positive exponents only. - $9 - 1 + 8 ^ { - 1 }$

Simplify the expression. - $- 0.60 ( 3.2 - 8 ) ^ { 2 }$

Find the root. - $\sqrt { \frac { 1 } { 49 } }$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\left( \frac { x ^ { 8 t } } { x ^ { 3 t - 6 } } \right) ^ { 3 }$

Simplify. Write the answer using positive exponents only. - $( - 2 p q r ) ^ { 2 }$

Find the opposite (or additive inverse) of the number. -15

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\frac { 12 x ^ { 6 } a + b y 4 a - b } { - 3 x ^ { a } + 5 b _ { y } a - 2 b }$

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -The of a number is the distance between that number and 0 on the number line.

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -The symbols < and > are called symbols.

Simplify the expression. - $\frac { 7 + ( - 5 ) ^ { 2 } + 8 \cdot 8 ^ { 2 } } { 8 ^ { 2 } \cdot ( 7 - 5 ) }$

Simplify and write with positive exponents only. - $- ( - 3 ) ^ { - 4 }$

Equations, Inequalities, and Problem Solving

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Systems of Equations and Inequalities

Polynomials and Polynomial Functions

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Exam 1: Real Numbers and Algebraic Expressions