Question 1

Simplify.
-$\frac { B ( - 3 ) | - | 1 - 7 \mid } { | 12 ( 5 ) | }$

Accepted Answer

A)  $- \frac { 1 } { 4 }$ 
B)  $- \frac { 1 } { 20 }$ 
C)  $\frac { 1 } { 20 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $- \frac { 1 } { 4 }$ 
B)  $- \frac { 1 } { 20 }$ 
C)  $\frac { 1 } { 20 }$ 
D)  $\frac { 1 } { 4 }$

Question 2

Solve.
-In a game of cards, Lindsey won 12 chips, lost 13 chips, won 11 chips, and lost 1 chips. What was  her final count of chips?

Accepted Answer

A)  11 chips 
B)  -13 chips 
C)  37 chips 
D)  9 chips 
A)  11 chips 
B)  -13 chips 
C)  37 chips 
D)  9 chips

Question 3

Find the reciprocal or multiplicative inverse.
-$\frac { 2 } { 7 }$

Accepted Answer

A)  $\frac { 7 } { 2 }$ 
B)  7 
C)  $- \frac { 2 } { 7 }$ 
D)  $- \frac { 7 } { 2 }$ 
A)  $\frac { 7 } { 2 }$ 
B)  7 
C)  $- \frac { 2 } { 7 }$ 
D)  $- \frac { 7 } { 2 }$

Question 4

Insert , or = to make the statement true.
-

Accepted Answer

A) > B) < C) = A) > B) < C) =

Question 5

Solve. Simplify the answer.
-The front cover of a book measures $9 \frac { 1 } { 2 }$ inches by $7 \frac { 3 } { 5 }$ inches. What is the total distance around (the perimeter of) the front cover of the book?

Accepted Answer

A)  $34 \frac { 1 } { 5 } \mathrm { in }$. 
B)  $33 \frac { 3 } { 5 } \mathrm { in }$. 
C)  $17 \frac { 1 } { 10 } \mathrm { in }$. 
D)  $33 \frac { 2 } { 5 } \mathrm { in }$. 
A)  $34 \frac { 1 } { 5 } \mathrm { in }$. 
B)  $33 \frac { 3 } { 5 } \mathrm { in }$. 
C)  $17 \frac { 1 } { 10 } \mathrm { in }$. 
D)  $33 \frac { 2 } { 5 } \mathrm { in }$.

Question 6

Decide whether the given number is a solution of the given equation.
-Is $- 8$ a solution of $\frac { 40 } { x } = - 5$ ?

Accepted Answer

A) True 
 B)False

Question 7

Name the property illustrated by the statement.
-$4 \cdot 1 = 4$

Accepted Answer

A)  identity element for multiplication 
B)  distributive property 
C)  commutative property of multiplication 
D)  multiplicative inverse property 
A)  identity element for multiplication 
B)  distributive property 
C)  commutative property of multiplication 
D)  multiplicative inverse property

Question 8

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 4 } { 19 } \div \frac { 3 } { 14 }$

Accepted Answer

A)  $\frac { 55 } { 57 }$ 
B)  $\frac { 56 } { 55 }$ 
C)  $\frac { 56 } { 57 }$ 
D)  $\frac { 54 } { 57 }$ 
A)  $\frac { 55 } { 57 }$ 
B)  $\frac { 56 } { 55 }$ 
C)  $\frac { 56 } { 57 }$ 
D)  $\frac { 54 } { 57 }$

Question 9

$25 > 16$

Accepted Answer

A) True 
 B)False

Question 10

Add or subtract as indicated. Write the answer in lowest terms.
-$12 - \frac { 2 } { 9 }$

Accepted Answer

A)  $\frac { 10 } { 9 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 110 } { 9 }$ 
D)  $\frac { 106 } { 9 }$ 
A)  $\frac { 10 } { 9 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 110 } { 9 }$ 
D)  $\frac { 106 } { 9 }$

Question 11

Evaluate the expression for the given replacement values.
-$8 y + \frac { 55 } { x } \quad x = 5 , y = 7$

Accepted Answer

A)  67 
B)  111 
C)  11 
D)  19 
A)  67 
B)  111 
C)  11 
D)  19

Question 12

Evaluate the expression for the given replacement values.
-$\frac { x ^ { 2 } + z } { y ^ { 2 } - 3 z } \quad x = 4 , y = 1 , z = 12$

Accepted Answer

A)  $- \frac { 28 } { 11 }$ 
B)  $- \frac { 4 } { 5 }$ 
C)  $\frac { 28 } { 37 }$ 
D)  $- \frac { 192 } { 35 }$ 
A)  $- \frac { 28 } { 11 }$ 
B)  $- \frac { 4 } { 5 }$ 
C)  $\frac { 28 } { 37 }$ 
D)  $- \frac { 192 } { 35 }$

Question 13

Find the unknown complementary or supplementary angle.
-

Accepted Answer

A)  $20 ^ { \circ }$ 
B)  $35 ^ { \circ }$ 
C)  $15 ^ { \circ }$ 
D)  $25 ^ { \circ }$ 
A)  $20 ^ { \circ }$ 
B)  $35 ^ { \circ }$ 
C)  $15 ^ { \circ }$ 
D)  $25 ^ { \circ }$

Question 14

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$3 ( x + 5 y + 8 )$

Accepted Answer

A)  $3 x - 15 y - 24$ 
B)  $3 x + 5 y + 8$ 
C)  $3 x + 15 y + 24$ 
D)  $3 x + 15 y + 8$ 
A)  $3 x - 15 y - 24$ 
B)  $3 x + 5 y + 8$ 
C)  $3 x + 15 y + 24$ 
D)  $3 x + 15 y + 8$

Question 15

Simplify the expression.
-$4 [ - 6 + 3 ( - 5 + 3 ) ]$

Accepted Answer

A)  24 
B)  20 
C)  $- 30$ 
D)  $- 48$ 
A)  24 
B)  20 
C)  $- 30$ 
D)  $- 48$

Question 16

Simplify.
-$- \left| - \frac { 1 } { 3 } \right|$

Accepted Answer

A)  $- \frac { 1 } { 3 }$ 
B)  0 
C)  $\frac { 1 } { 3 }$ 
D)  $- 3$ 
A)  $- \frac { 1 } { 3 }$ 
B)  0 
C)  $\frac { 1 } { 3 }$ 
D)  $- 3$

Question 17

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { set } & \text { inequality symbols } & \text { opposites } & \text { absolute value } & \text { numerator } \
\text { denominator } & \text { grouping symbols } & \text { exponent } & \text { base } & \text { reciprocals } \
\text { variable } & \text { equation } & \text { solution } & &
\end{array}$$
-The symbols $≠ , $ are called____

Accepted Answer

A)  opposites 
B)  inequality symbols 
C)  reciprocals 
D)  grouping symbols 
A)  opposites 
B)  inequality symbols 
C)  reciprocals 
D)  grouping symbols

Question 18

Simplify the expression.
-$- 9 \frac { 3 } { 8 } + 7 \frac { 1 } { 8 }$

Accepted Answer

A)  $- 2 \frac { 1 } { 4 }$ 
B)  $15 \frac { 3 } { 4 }$ 
C)  $- 9 \frac { 1 } { 4 }$ 
D)  $- 1 \frac { 1 } { 2 }$ 
A)  $- 2 \frac { 1 } { 4 }$ 
B)  $15 \frac { 3 } { 4 }$ 
C)  $- 9 \frac { 1 } { 4 }$ 
D)  $- 1 \frac { 1 } { 2 }$

Question 19

Insert  , or = to make the statement true.
-93 ____$- 18$

Accepted Answer

A)   
C)  = 
A)   
C)  =

Question 20

Write the sentence as a mathematical statement.
-Fifteen is less than or equal to eighteen.

Accepted Answer

A)  $15 \neq 18$ 
B)  $15 < 18$ 
C)  $15 \leq 18$ 
D)  $15 \geq 18$ 
A)  $15 \neq 18$ 
B)  $15 < 18$ 
C)  $15 \leq 18$ 
D)  $15 \geq 18$

Simplify. - $\frac { B ( - 3 ) | - | 1 - 7 \mid } { | 12 ( 5 ) | }$

Solve. -In a game of cards, Lindsey won 12 chips, lost 13 chips, won 11 chips, and lost 1 chips. What was her final count of chips?

Find the reciprocal or multiplicative inverse. - $\frac { 2 } { 7 }$

Insert <, >, or = to make the statement true. -

Solve. Simplify the answer. -The front cover of a book measures $9 \frac { 1 } { 2 }$ inches by $7 \frac { 3 } { 5 }$ inches. What is the total distance around (the perimeter of) the front cover of the book?

Decide whether the given number is a solution of the given equation. -Is $- 8$ a solution of $\frac { 40 } { x } = - 5$ ?

Name the property illustrated by the statement. - $4 \cdot 1 = 4$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 4 } { 19 } \div \frac { 3 } { 14 }$

$25 > 16$

Add or subtract as indicated. Write the answer in lowest terms. - $12 - \frac { 2 } { 9 }$

Evaluate the expression for the given replacement values. - $8 y + \frac { 55 } { x } \quad x = 5 , y = 7$

Evaluate the expression for the given replacement values. - $\frac { x ^ { 2 } + z } { y ^ { 2 } - 3 z } \quad x = 4 , y = 1 , z = 12$

Find the unknown complementary or supplementary angle. -

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $3 ( x + 5 y + 8 )$

Simplify the expression. - $4 [ - 6 + 3 ( - 5 + 3 ) ]$

Simplify. - $- \left| - \frac { 1 } { 3 } \right|$

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -The symbols $≠ , <$ , and $>$ are called____

Simplify the expression. - $- 9 \frac { 3 } { 8 } + 7 \frac { 1 } { 8 }$

Insert $< , >$ , or = to make the statement true. -93 ____ $- 18$

Write the sentence as a mathematical statement. -Fifteen is less than or equal to eighteen.

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers

Simplify. - B(−3)∣−∣1−7∣∣12(5)∣\frac { B ( - 3 ) | - | 1 - 7 \mid } { | 12 ( 5 ) | }∣12(5)∣B(−3)∣−∣1−7∣​

Solve. -In a game of cards, Lindsey won 12 chips, lost 13 chips, won 11 chips, and lost 1 chips. What was her final count of chips?

Find the reciprocal or multiplicative inverse. - 27\frac { 2 } { 7 }72​

Insert <, >, or = to make the statement true. -

Solve. Simplify the answer. -The front cover of a book measures 9129 \frac { 1 } { 2 }921​ inches by 7357 \frac { 3 } { 5 }753​ inches. What is the total distance around (the perimeter of) the front cover of the book?

Decide whether the given number is a solution of the given equation. -Is −8- 8−8 a solution of 40x=−5\frac { 40 } { x } = - 5x40​=−5 ?

Name the property illustrated by the statement. - 4⋅1=44 \cdot 1 = 44⋅1=4

Multiply or divide as indicated. Write the answer in lowest terms. - 419÷314\frac { 4 } { 19 } \div \frac { 3 } { 14 }194​÷143​

25>1625 > 1625>16

Add or subtract as indicated. Write the answer in lowest terms. - 12−2912 - \frac { 2 } { 9 }12−92​

Evaluate the expression for the given replacement values. - 8y+55xx=5,y=78 y + \frac { 55 } { x } \quad x = 5 , y = 78y+x55​x=5,y=7

Evaluate the expression for the given replacement values. - x2+zy2−3zx=4,y=1,z=12\frac { x ^ { 2 } + z } { y ^ { 2 } - 3 z } \quad x = 4 , y = 1 , z = 12y2−3zx2+z​x=4,y=1,z=12

Find the unknown complementary or supplementary angle. -

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 3(x+5y+8)3 ( x + 5 y + 8 )3(x+5y+8)

Simplify the expression. - 4[−6+3(−5+3)]4 [ - 6 + 3 ( - 5 + 3 ) ]4[−6+3(−5+3)]

Simplify. - −∣−13∣- \left| - \frac { 1 } { 3 } \right|−​−31​​

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -The symbols ≠,<≠ , <=,< , and >>> are called____

Simplify the expression. - −938+718- 9 \frac { 3 } { 8 } + 7 \frac { 1 } { 8 }−983​+781​

Insert <,>< , ><,> , or = to make the statement true. -93 ____ −18- 18−18

Write the sentence as a mathematical statement. -Fifteen is less than or equal to eighteen.

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Simplify. - $\frac { B ( - 3 ) | - | 1 - 7 \mid } { | 12 ( 5 ) | }$

Find the reciprocal or multiplicative inverse. - $\frac { 2 } { 7 }$

Solve. Simplify the answer. -The front cover of a book measures $9 \frac { 1 } { 2 }$ inches by $7 \frac { 3 } { 5 }$ inches. What is the total distance around (the perimeter of) the front cover of the book?

Decide whether the given number is a solution of the given equation. -Is $- 8$ a solution of $\frac { 40 } { x } = - 5$ ?

Name the property illustrated by the statement. - $4 \cdot 1 = 4$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 4 } { 19 } \div \frac { 3 } { 14 }$

$25 > 16$

Add or subtract as indicated. Write the answer in lowest terms. - $12 - \frac { 2 } { 9 }$

Evaluate the expression for the given replacement values. - $8 y + \frac { 55 } { x } \quad x = 5 , y = 7$

Evaluate the expression for the given replacement values. - $\frac { x ^ { 2 } + z } { y ^ { 2 } - 3 z } \quad x = 4 , y = 1 , z = 12$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $3 ( x + 5 y + 8 )$

Simplify the expression. - $4 [ - 6 + 3 ( - 5 + 3 ) ]$

Simplify. - $- \left| - \frac { 1 } { 3 } \right|$

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -The symbols $≠ , <$ , and $>$ are called____

Simplify the expression. - $- 9 \frac { 3 } { 8 } + 7 \frac { 1 } { 8 }$

Insert $< , >$ , or = to make the statement true. -93 ____ $- 18$