Question 1

Insert , or = to make the statement true.
-| - 9 | ____0

Accepted Answer

A)  \) 
A)  \)

Question 2

Write the fraction as an equivalent fraction with the given denominator.
-$\frac { 2 } { 3 }$ with a denominator of 21

Accepted Answer

A)  $\frac { 2 } { 21 }$ 
B)  $\frac { 6 } { 21 }$ 
C)  $\frac { 14 } { 21 }$ 
D)  $\frac { 7 } { 21 }$ 
A)  $\frac { 2 } { 21 }$ 
B)  $\frac { 6 } { 21 }$ 
C)  $\frac { 14 } { 21 }$ 
D)  $\frac { 7 } { 21 }$

Question 3

Simplify the expression. (Remember the order of operations.)
-$| - 3 | - 3 ^ { 2 } - ( - 5 - 15 )$

Accepted Answer

A)  8 
B)  $- 16$ 
C)  14 
D)  $- 26$ 
A)  8 
B)  $- 16$ 
C)  14 
D)  $- 26$

Question 4

Find the additive inverse or opposite.
-$| - 29 |$

Accepted Answer

A)  $- 29$ 
B)  $- \frac { 1 } { 29 }$ 
C)  0 
D)  29 
A)  $- 29$ 
B)  $- \frac { 1 } { 29 }$ 
C)  0 
D)  29

Question 5

Subtract.
-$- 3 - ( - 3 )$

Accepted Answer

A)  1 
B)  3 
C)  $- 3$ 
D)  0 
A)  1 
B)  3 
C)  $- 3$ 
D)  0

Question 6

Simplify.
-$\frac { 2 - 7 } { 7 - 2 }$

Accepted Answer

A)  $\frac { 2 } { 7 }$ 
B)  $- \frac { 2 } { 7 }$ 
C)  $- 1$ 
D)  $- 5$ 
A)  $\frac { 2 } { 7 }$ 
B)  $- \frac { 2 } { 7 }$ 
C)  $- 1$ 
D)  $- 5$

Question 7

Simplify the expression. (Remember the order of operations.)
-$( - 3 + 4 ) - [ ( - 19 ) - ( - 14 ) ]$

Accepted Answer

A)  4 
B)  6 
C)  $- 32$ 
D)  $- 2$ 
A)  4 
B)  6 
C)  $- 32$ 
D)  $- 2$

Question 8

Name the property illustrated by the statement.
-$( 6 \cdot 4 ) \cdot 9 = 6 \cdot ( 4 \cdot 9 )$

Accepted Answer

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

Question 9

Find the area of the figure below. (The area of a rectangle is the product of its length and width. The area of a triangle is $$\frac { 1 } { 2 } \text { the product of its base and height.) }$$
-

Accepted Answer

A)  $\frac { 2 } { 11 } \mathrm { sq } \mathrm { ft }$ 
B)  $\frac { 4 } { 13 } \mathrm { sq } \mathrm { ft }$ 
C)  $\frac { 5 } { 13 } \mathrm { sq } \mathrm { ft }$ 
D)  $\frac { 4 } { 22 } \mathrm { sq } \mathrm { ft }$ 
A)  $\frac { 2 } { 11 } \mathrm { sq } \mathrm { ft }$ 
B)  $\frac { 4 } { 13 } \mathrm { sq } \mathrm { ft }$ 
C)  $\frac { 5 } { 13 } \mathrm { sq } \mathrm { ft }$ 
D)  $\frac { 4 } { 22 } \mathrm { sq } \mathrm { ft }$

Question 10

Multiply.
-(3) $( 2 ) ( 3 ) ( - 3 ) ( - 5 )$

Accepted Answer

A)  0 
B)  270 
C)  $- 54$ 
D)  $- 270$ 
A)  0 
B)  270 
C)  $- 54$ 
D)  $- 270$

Question 11

Evaluate.
-$7 ^ { 5 }$

Accepted Answer

A)  16,807 
B)  35 
C)  117,649 
D)  78,125 
A)  16,807 
B)  35 
C)  117,649 
D)  78,125

Question 12

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$- \frac { 8 } { 7 } ( 14 x - 21 )$

Accepted Answer

A)  $8 x$ 
B)  $- 16 x - 24$ 
C)  $16 x - 24$ 
D)  $- 16 x + 24$ 
A)  $8 x$ 
B)  $- 16 x - 24$ 
C)  $16 x - 24$ 
D)  $- 16 x + 24$

Question 13

Write the sentence as a mathematical statement.
-Thirty-five is greater than or equal to thirty-five.

Accepted Answer

A)  $35 > 35$ 
B)  $35 \geq 35$ 
C)  $35 \leq 35$ 
D)  $35 = 35$ 
A)  $35 > 35$ 
B)  $35 \geq 35$ 
C)  $35 \leq 35$ 
D)  $35 = 35$

Question 14

Decide whether the given number is a solution of the given equation.
-Is 6 a solution of 7 = 1 + x?

Accepted Answer

A) True 
 B)False

Question 15

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

Accepted Answer

A)  $\frac { 56 } { 55 }$ 
B)  $\frac { 55 } { 57 }$ 
C)  $\frac { 56 } { 57 }$ 
D)  $\frac { 18 } { 19 }$ 
A)  $\frac { 56 } { 55 }$ 
B)  $\frac { 55 } { 57 }$ 
C)  $\frac { 56 } { 57 }$ 
D)  $\frac { 18 } { 19 }$

Question 16

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$9 x - 3 ( 6 y - 12 )$

Accepted Answer

A)  $9 x - 18 y + 36$ 
B)  $9 x - 18 y - 12$ 
C)  $9 \mathrm { x } - 18 \mathrm { y } + 12$ 
D)  $9 \mathrm { x } - 18 \mathrm { y } - 36$ 
A)  $9 x - 18 y + 36$ 
B)  $9 x - 18 y - 12$ 
C)  $9 \mathrm { x } - 18 \mathrm { y } + 12$ 
D)  $9 \mathrm { x } - 18 \mathrm { y } - 36$

Question 17

Insert  
 , or = to make the statement true.
-$| - 4 |$___ 2

Accepted Answer

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

Question 18

Solve. Simplify the answer.
-A Boeing 767 flew 920 miles on a nonstop flight. On the return flight, it landed after having flown $530 \frac { 8 } { 9 }$ miles. How far was the plane from its original point of departure?

Accepted Answer

A)  $390 \frac { 8 } { 9 } \mathrm { mi }$ 
B)  $390 \frac { 1 } { 9 } \mathrm { mi }$ 
C)  $389 \frac { 8 } { 9 } \mathrm { mi }$ 
D)  $389 \frac { 1 } { 9 } \mathrm { mi }$ 
A)  $390 \frac { 8 } { 9 } \mathrm { mi }$ 
B)  $390 \frac { 1 } { 9 } \mathrm { mi }$ 
C)  $389 \frac { 8 } { 9 } \mathrm { mi }$ 
D)  $389 \frac { 1 } { 9 } \mathrm { mi }$

Question 19

Insert  , or = to make the statement true.
-- 5.0 ___ - 8.2

Accepted Answer

A)   
A)

Question 20

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { set } & \text { inequality symbols } & \text { opposites } & \text { absolute value } & \text { numerator } \
\text { denominator } & \text { grouping symbols } & \text { exponent } & \text { base } & \text { reciprocals } \
\text { variable } & \text { equation } & \text { solution } & &
\end{array}$$
-A is a collection of objects

Accepted Answer

A)  base 
B)  solution 
C)  variable 
D)  set 
A)  base 
B)  solution 
C)  variable 
D)  set

Insert <, >, or = to make the statement true. -| - 9 | ____0

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 2 } { 3 }$ with a denominator of 21

Simplify the expression. (Remember the order of operations.) - $| - 3 | - 3 ^ { 2 } - ( - 5 - 15 )$

Find the additive inverse or opposite. - $| - 29 |$

Subtract. - $- 3 - ( - 3 )$

Simplify. - $\frac { 2 - 7 } { 7 - 2 }$

Simplify the expression. (Remember the order of operations.) - $( - 3 + 4 ) - [ ( - 19 ) - ( - 14 ) ]$

Name the property illustrated by the statement. - $( 6 \cdot 4 ) \cdot 9 = 6 \cdot ( 4 \cdot 9 )$

Multiply. -(3) $( 2 ) ( 3 ) ( - 3 ) ( - 5 )$

Evaluate. - $7 ^ { 5 }$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $- \frac { 8 } { 7 } ( 14 x - 21 )$

Write the sentence as a mathematical statement. -Thirty-five is greater than or equal to thirty-five.

Decide whether the given number is a solution of the given equation. -Is 6 a solution of 7 = 1 + x?

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

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $9 x - 3 ( 6 y - 12 )$

Insert , or = to make the statement true. - $| - 4 |$ ___ 2

Solve. Simplify the answer. -A Boeing 767 flew 920 miles on a nonstop flight. On the return flight, it landed after having flown $530 \frac { 8 } { 9 }$ miles. How far was the plane from its original point of departure?

Insert $< , >$ , or = to make the statement true. -- 5.0 ___ - 8.2

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 -A is a collection of objects

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

Insert <, >, or = to make the statement true. -| - 9 | ____0

Write the fraction as an equivalent fraction with the given denominator. - 23\frac { 2 } { 3 }32​ with a denominator of 21

Simplify the expression. (Remember the order of operations.) - ∣−3∣−32−(−5−15)| - 3 | - 3 ^ { 2 } - ( - 5 - 15 )∣−3∣−32−(−5−15)

Find the additive inverse or opposite. - ∣−29∣| - 29 |∣−29∣

Subtract. - −3−(−3)- 3 - ( - 3 )−3−(−3)

Simplify. - 2−77−2\frac { 2 - 7 } { 7 - 2 }7−22−7​

Simplify the expression. (Remember the order of operations.) - (−3+4)−[(−19)−(−14)]( - 3 + 4 ) - [ ( - 19 ) - ( - 14 ) ](−3+4)−[(−19)−(−14)]

Name the property illustrated by the statement. - (6⋅4)⋅9=6⋅(4⋅9)( 6 \cdot 4 ) \cdot 9 = 6 \cdot ( 4 \cdot 9 )(6⋅4)⋅9=6⋅(4⋅9)

Find the area of the figure below. (The area of a rectangle is the product of its length and width. The area of a triangle is 12 the product of its base and height.) \frac { 1 } { 2 } \text { the product of its base and height.) }21​ the product of its base and height.) -

Multiply. -(3) (2)(3)(−3)(−5)( 2 ) ( 3 ) ( - 3 ) ( - 5 )(2)(3)(−3)(−5)

Evaluate. - 757 ^ { 5 }75

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - −87(14x−21)- \frac { 8 } { 7 } ( 14 x - 21 )−78​(14x−21)