Question 1

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 4 } { 8 } \div \frac { 9 } { 14 }$

Accepted Answer

A)  $\frac { 9 } { 112 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $\frac { 13 } { 22 }$ 
D)  $12 \frac { 4 } { 9 }$ 
A)  $\frac { 9 } { 112 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $\frac { 13 } { 22 }$ 
D)  $12 \frac { 4 } { 9 }$

Question 2

$8 + 5 \leq 4 ( 8 )$

Accepted Answer

A) True 
 B)False

Question 3

The product of a positive integer and two negative integers is negative.

Accepted Answer

A) True 
 B)False

Question 4

Write the fraction in lowest terms.
-$\frac { 18 } { 30 }$

Accepted Answer

A)  $\frac { 6 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 3 } { 6 }$ 
D)  $\frac { 18 } { 30 }$ 
A)  $\frac { 6 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 3 } { 6 }$ 
D)  $\frac { 18 } { 30 }$

Question 5

If x = -4 and y = -2, evaluate the expression.
-$x ^ { 2 } + 2 y$

Accepted Answer

A)  $- 12$ 
B)  8 
C)  12 
D)  $- 8$ 
A)  $- 12$ 
B)  8 
C)  12 
D)  $- 8$

Question 6

Use the distributive property to write the sum as a product.
-$12 \cdot 1 + 12 \cdot x$

Accepted Answer

A)  $( 12 + 12 x )$ 
B)  $13 ( x )$ 
C)  $12 ( 1 + x )$ 
D)  $( 12 x )$ 
A)  $( 12 + 12 x )$ 
B)  $13 ( x )$ 
C)  $12 ( 1 + x )$ 
D)  $( 12 x )$

Question 7

Use a commutative property to complete the statement.
-$\mathrm { ab } =$

Accepted Answer

A)  $a + b$ 
B)  $\frac { 1 } { a b }$ 
C)  ba 
D)  $- a b$ 
A)  $a + b$ 
B)  $\frac { 1 } { a b }$ 
C)  ba 
D)  $- a b$

Question 8

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

Accepted Answer

A)  $3 x - 3 y$ 
B)  $3 x y$ 
C)  $3 x + 3 y$ 
D)  $3 x + y$ 
A)  $3 x - 3 y$ 
B)  $3 x y$ 
C)  $3 x + 3 y$ 
D)  $3 x + y$

Question 9

Write the fraction in lowest terms.
-$\frac { 4 } { 5 }$

Accepted Answer

A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 1 } { 5 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 1 }$ 
A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 1 } { 5 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 1 }$

Question 10

Use an integer to represent the value in the statement.
-a deposit of $\$ 449.18$ in your checkbook

Accepted Answer

A)  $449.18$ 
B)  $- 449.18$ 
A)  $449.18$ 
B)  $- 449.18$

Question 11

$- 79 < 0$

Accepted Answer

A) True 
 B)False

Question 12

Solve. Simplify the answer.
-Ian walked $\frac { 5 } { 30 }$ of a mile to his biology class, $\frac { 5 } { 30 }$ of a mile to his art class, $\frac { 6 } { 30 }$ of a mile to his calculus class, and then back to his dormitory. If he walked 1 mile altogether, how far did he walk from his calculus class to his dormitory?

Accepted Answer

A)  $\frac { 19 } { 30 } \mathrm { mi }$ 
B)  $\frac { 2 } { 3 } \mathrm { mi }$ 
C)  $\frac { 7 } { 15 } \mathrm { mi }$ 
D)  $\frac { 8 } { 15 } \mathrm { mi }$ 
A)  $\frac { 19 } { 30 } \mathrm { mi }$ 
B)  $\frac { 2 } { 3 } \mathrm { mi }$ 
C)  $\frac { 7 } { 15 } \mathrm { mi }$ 
D)  $\frac { 8 } { 15 } \mathrm { mi }$

Question 13

Multiply.
-3.4(-5.33)

Accepted Answer

A)  $- 1.93$ 
B)  $8.83$ 
C)  $8.73$ 
D)  $- 18.122$ 
A)  $- 1.93$ 
B)  $8.83$ 
C)  $8.73$ 
D)  $- 18.122$

Question 14

Add or subtract as indicated. Write the answer in lowest terms.
-$14 \frac { 1 } { 5 } + 6 \frac { 2 } { 7 }$

Accepted Answer

A)  $21 \frac { 17 } { 35 }$ 
B)  $14 \frac { 17 } { 35 }$ 
C)  $20 \frac { 17 } { 35 }$ 
D)  $19 \frac { 17 } { 35 }$ 
A)  $21 \frac { 17 } { 35 }$ 
B)  $14 \frac { 17 } { 35 }$ 
C)  $20 \frac { 17 } { 35 }$ 
D)  $19 \frac { 17 } { 35 }$

Question 15

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 of a number is the distance between that number an 0 on the number line.

Accepted Answer

A)  exponent 
B)  solution 
C)  absolute value 
D)  base 
A)  exponent 
B)  solution 
C)  absolute value 
D)  base

Question 16

Evaluate the expression when x = 5, y = -2, and t = 8.
-$t ^ { 2 } - 3 y$

Accepted Answer

A)  58 
B)  10 
C)  70 
D)  22 
A)  58 
B)  10 
C)  70 
D)  22

Question 17

Insert  , or = to make the statement true.
-- 0.2 _________ - 1.0

Accepted Answer

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

Question 18

Simplify.
-$\frac { 5 ( 6 ) + 7 } { 3 - 9 ( 5 ) }$

Accepted Answer

A)  $- \frac { 37 } { 30 }$ 
B)  $\frac { 37 } { 42 }$ 
C)  $- \frac { 37 } { 42 }$ 
D)  $- \frac { 65 } { 42 }$ 
A)  $- \frac { 37 } { 30 }$ 
B)  $\frac { 37 } { 42 }$ 
C)  $- \frac { 37 } { 42 }$ 
D)  $- \frac { 65 } { 42 }$

Question 19

Evaluate.
-$( - 1 ) ^ { 15 }$

Accepted Answer

A)  $- 1$ 
B)  $- 15$ 
C)  1 
D)  15 
A)  $- 1$ 
B)  $- 15$ 
C)  1 
D)  15

Question 20

Every whole number is a real number.

Accepted Answer

A) True 
 B)False

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 4 } { 8 } \div \frac { 9 } { 14 }$

$8 + 5 \leq 4 ( 8 )$

The product of a positive integer and two negative integers is negative.

Write the fraction in lowest terms. - $\frac { 18 } { 30 }$

If x = -4 and y = -2, evaluate the expression. - $x ^ { 2 } + 2 y$

Use the distributive property to write the sum as a product. - $12 \cdot 1 + 12 \cdot x$

Use a commutative property to complete the statement. - $\mathrm { ab } =$

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

Write the fraction in lowest terms. - $\frac { 4 } { 5 }$

Use an integer to represent the value in the statement. -a deposit of $\$ 449.18$ in your checkbook

$- 79 < 0$

Multiply. -3.4(-5.33)

Add or subtract as indicated. Write the answer in lowest terms. - $14 \frac { 1 } { 5 } + 6 \frac { 2 } { 7 }$

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 of a number is the distance between that number an 0 on the number line.

Evaluate the expression when x = 5, y = -2, and t = 8. - $t ^ { 2 } - 3 y$

Insert $< , >$ , or = to make the statement true. -- 0.2 _________ - 1.0

Simplify. - $\frac { 5 ( 6 ) + 7 } { 3 - 9 ( 5 ) }$

Evaluate. - $( - 1 ) ^ { 15 }$

Every whole number is a real number.

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

Multiply or divide as indicated. Write the answer in lowest terms. - 48÷914\frac { 4 } { 8 } \div \frac { 9 } { 14 }84​÷149​

8+5≤4(8)8 + 5 \leq 4 ( 8 )8+5≤4(8)

The product of a positive integer and two negative integers is negative.

Write the fraction in lowest terms. - 1830\frac { 18 } { 30 }3018​

If x = -4 and y = -2, evaluate the expression. - x2+2yx ^ { 2 } + 2 yx2+2y

Use the distributive property to write the sum as a product. - 12⋅1+12⋅x12 \cdot 1 + 12 \cdot x12⋅1+12⋅x

Use a commutative property to complete the statement. - ab=\mathrm { ab } =ab=

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

Write the fraction in lowest terms. - 45\frac { 4 } { 5 }54​

Use an integer to represent the value in the statement. -a deposit of $449.18\$ 449.18$449.18 in your checkbook

−79<0- 79 < 0−79<0

Multiply. -3.4(-5.33)

Add or subtract as indicated. Write the answer in lowest terms. - 1415+62714 \frac { 1 } { 5 } + 6 \frac { 2 } { 7 }1451​+672​

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 of a number is the distance between that number an 0 on the number line.

Evaluate the expression when x = 5, y = -2, and t = 8. - t2−3yt ^ { 2 } - 3 yt2−3y

Insert <,>< , ><,> , or = to make the statement true. -- 0.2 _________ - 1.0

Simplify. - 5(6)+73−9(5)\frac { 5 ( 6 ) + 7 } { 3 - 9 ( 5 ) }3−9(5)5(6)+7​

Evaluate. - (−1)15( - 1 ) ^ { 15 }(−1)15

Every whole number is a real number.

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

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 4 } { 8 } \div \frac { 9 } { 14 }$

$8 + 5 \leq 4 ( 8 )$

Write the fraction in lowest terms. - $\frac { 18 } { 30 }$

If x = -4 and y = -2, evaluate the expression. - $x ^ { 2 } + 2 y$

Use the distributive property to write the sum as a product. - $12 \cdot 1 + 12 \cdot x$

Use a commutative property to complete the statement. - $\mathrm { ab } =$

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

Write the fraction in lowest terms. - $\frac { 4 } { 5 }$

Use an integer to represent the value in the statement. -a deposit of $\$ 449.18$ in your checkbook

$- 79 < 0$

Add or subtract as indicated. Write the answer in lowest terms. - $14 \frac { 1 } { 5 } + 6 \frac { 2 } { 7 }$

Evaluate the expression when x = 5, y = -2, and t = 8. - $t ^ { 2 } - 3 y$

Insert $< , >$ , or = to make the statement true. -- 0.2 _________ - 1.0

Simplify. - $\frac { 5 ( 6 ) + 7 } { 3 - 9 ( 5 ) }$

Evaluate. - $( - 1 ) ^ { 15 }$