Question 1

Simplify the expression.
- 3[5(2-6)-3]

Accepted Answer

A)   -28 
B)   -69 
C)   -24 
D)   -29 
A)   -28 
B)   -69 
C)   -24 
D)   -29

Question 2

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 a shorthand notation for repeated multiplication of the same factor.

Accepted Answer

A) variable 
B)  absolute value 
C)  algebraic expression 
D)  exponent 
A) variable 
B)  absolute value 
C)  algebraic expression 
D)  exponent

Question 3

Add or subtract as indicated.
--22+11

Accepted Answer

A)   -33 
B)   -11 
C)  33 
D)  11 
A)   -33 
B)   -11 
C)  33 
D)  11

Question 4

Add or subtract as indicated.
- 9-11

Accepted Answer

A)   -20 
B)  20 
C)   -2 
D)  2 
A)   -20 
B)  20 
C)   -2 
D)  2

Question 5

Write the sentence as an equation.
-When 5 times  x  is subtracted from 7 times  x , the result is 20 .

Accepted Answer

A)   5(x-7)=20 x 
B)   5 x+10 x=20 
C)   7 x-5 x=20 
D)   5 x(7-x)=20 
A)   5(x-7)=20 x 
B)   5 x+10 x=20 
C)   7 x-5 x=20 
D)   5 x(7-x)=20

Question 6

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+B)+C=A+(B+C)  by the ______ property of addition.

Accepted Answer

A)  associative 
B)  inequality 
C)  commutative 
D)  distributive 
A)  associative 
B)  inequality 
C)  commutative 
D)  distributive

Question 7

Use the distributive property to multiply.
- 9(3n+5)

Accepted Answer

A)   27n +5 
B)   72n 
C)   12n +14 
D)   27n +45 
A)   27n +5 
B)   72n 
C)   12n +14 
D)   27n +45

Question 8

Write the phrase as a variable expression. Use x to represent "a number."
-2 times a number

Accepted Answer

A)   2-x 
B)   2x 
C)   2 + x 
D)  $\frac { 2 } { x }$ 
A)   2-x 
B)   2x 
C)   2 + x 
D)  $\frac { 2 } { x }$

Question 9

Insert $ \text {, or } =$ to in the space provided to form a true statement.
--95________ 85

Accepted Answer

A) $- 95 > 85$ B) -95<85 C) -95=85 A) $- 95 > 85$ B) -95<85 C) -95=85

Question 10

Insert $ \text {, or } =$ to in the space provided to form a true statement.
-$\frac { 2 } { 8 } ــــ \frac { 1 } { 4 }$

Accepted Answer

A) $\frac { 2 } { 8 } > \frac { 1 } { 4 }$ B) $\frac { 2 } { 8 } < \frac { 1 } { 4 }$ C) $\frac { 2 } { 8 } = \frac { 1 } { 4 }$ A) $\frac { 2 } { 8 } > \frac { 1 } { 4 }$ B) $\frac { 2 } { 8 } < \frac { 1 } { 4 }$ C) $\frac { 2 } { 8 } = \frac { 1 } { 4 }$

Question 11

Simplify. Write the answer using positive exponents only.
-$\left( \frac { p ^ { 2 } } { 2 } \right) ^ { 3 }$

Accepted Answer

A)  $\frac { p ^ { 6 } } { 2 }$ 
B)  $\frac { p ^ { 6 } } { 8 }$ 
C)  $\frac { \mathrm { p } ^ { 5 } } { 8 }$ 
D)  $\frac { \mathrm { p } ^ { 5 } } { 2 }$ 
A)  $\frac { p ^ { 6 } } { 2 }$ 
B)  $\frac { p ^ { 6 } } { 8 }$ 
C)  $\frac { \mathrm { p } ^ { 5 } } { 8 }$ 
D)  $\frac { \mathrm { p } ^ { 5 } } { 2 }$

Question 12

Multiply or divide as indicated.
- 0(-16)

Accepted Answer

A)  16 
B)   -16 
C)  0 
D)  undefined 
A)  16 
B)   -16 
C)  0 
D)  undefined

Question 13

Simplify. Write the answer using positive exponents only.
-$( - 3 a ) ^ { - 2 }$

Accepted Answer

A)  $\frac { 1 } { 6 a ^ { 2 } }$ 
B)  $\frac { 1 } { 9 a ^ { 2 } }$ 
C)  $9 a ^ { 2 }$ 
D)  $\frac { 9 } { a ^ { 2 } }$ 
A)  $\frac { 1 } { 6 a ^ { 2 } }$ 
B)  $\frac { 1 } { 9 a ^ { 2 } }$ 
C)  $9 a ^ { 2 }$ 
D)  $\frac { 9 } { a ^ { 2 } }$

Question 14

Multiply or divide as indicated.
--72 $\div$ (-9)

Accepted Answer

A)  9 
B)   -9 
C)   -8 
D)  8 
A)  9 
B)   -9 
C)   -8 
D)  8

Question 15

Multiply or divide as indicated.
-$6 \left( - \frac { 1 } { 36 } \right)$

Accepted Answer

A)  6 
B)   -6 
C)   $\frac { 1 } { 6 }$ 
D)  $- \frac { 1 } { 6 }$ 
A)  6 
B)   -6 
C)   $\frac { 1 } { 6 }$ 
D)  $- \frac { 1 } { 6 }$

Question 16

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\frac { x ^ { 5 a } } { x ^ { 3 } }$

Accepted Answer

A)  $x ^ { 8 a }$ 
B)  $x ^ { 2 a }$ 
C)  $x ^ { 5 a - 3 }$ 
D)  $x ^ { 5 a + 3 }$ 
A)  $x ^ { 8 a }$ 
B)  $x ^ { 2 a }$ 
C)  $x ^ { 5 a - 3 }$ 
D)  $x ^ { 5 a + 3 }$

Question 17

Write the sentence as an equation.
-The quotient of 48 and  x  is 4 .

Accepted Answer

A)   $\frac { 48 } { x }$=4 
B)   $\frac { 48 } { 4 }$=x 
C)   48-x=4 
D)   $\frac { x } { 48 }$=4 
A)   $\frac { 48 } { x }$=4 
B)   $\frac { 48 } { 4 }$=x 
C)   48-x=4 
D)   $\frac { x } { 48 }$=4

Question 18

Multiply or divide as indicated.
- 8(-12)

Accepted Answer

A)   -96 
B)   -104 
C)   -960 
D)   -196 
A)   -96 
B)   -104 
C)   -960 
D)   -196

Question 19

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\frac { z ^ { 9 x + 2 \cdot z ^ { 3 x } } } { z ^ { x } }$

Accepted Answer

A)  $z ^ { 6 x + 2 }$ 
B)  $z ^ { 8 x }$ 
C)  $z ^ { 11 x + 2 }$ 
D)  $z ^ { 14 x }$ 
A)  $z ^ { 6 x + 2 }$ 
B)  $z ^ { 8 x }$ 
C)  $z ^ { 11 x + 2 }$ 
D)  $z ^ { 14 x }$

Question 20

Find the root.
-$\sqrt [ 4 ] { 256 }$

Accepted Answer

A)  6 
B)  5 
C)  4 
D)  16 
A)  6 
B)  5 
C)  4 
D)  16

Simplify the expression. - 3[5(2-6)-3]

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 -A(n) is a shorthand notation for repeated multiplication of the same factor.

Add or subtract as indicated. --22+11

Add or subtract as indicated. - 9-11

Write the sentence as an equation. -When 5 times x is subtracted from 7 times x , the result is 20 .

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 - (A+B)+C=A+(B+C) by the ______ property of addition.

Use the distributive property to multiply. - 9(3n+5)

Write the phrase as a variable expression. Use x to represent "a number." -2 times a number

Insert $< , > \text {, or } =$ to in the space provided to form a true statement. --95________ 85

Insert $< , > \text {, or } =$ to in the space provided to form a true statement. - $\frac { 2 } { 8 } ــــ \frac { 1 } { 4 }$

Simplify. Write the answer using positive exponents only. - $\left( \frac { p ^ { 2 } } { 2 } \right) ^ { 3 }$

Multiply or divide as indicated. - 0(-16)

Simplify. Write the answer using positive exponents only. - $( - 3 a ) ^ { - 2 }$

Multiply or divide as indicated. --72 $\div$ (-9)

Multiply or divide as indicated. - $6 \left( - \frac { 1 } { 36 } \right)$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\frac { x ^ { 5 a } } { x ^ { 3 } }$

Write the sentence as an equation. -The quotient of 48 and x is 4 .

Multiply or divide as indicated. - 8(-12)

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\frac { z ^ { 9 x + 2 \cdot z ^ { 3 x } } } { z ^ { x } }$

Find the root. - $\sqrt [ 4 ] { 256 }$

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

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Exam 1: Real Numbers and Algebraic Expressions