Question 1

Simplify the expression.
-$7 ^ { 2 } - 5 \cdot 5$

Accepted Answer

A)  70 
B)  220 
C)  24 
D)  20 
A)  70 
B)  220 
C)  24 
D)  20

Question 2

Use an integer to represent the value in the statement.
-$196 profit

Accepted Answer

A)  196 
B)  $- 196$ 
A)  196 
B)  $- 196$

Question 3

Solve.
-The Neighborhood Lemonade Stand, Inc. reported net incomes of -$361, -$264, and -$235 for the  past three years. What was its total net income for these three years?

Accepted Answer

A)  $- \$ 625$ 
B)  $- \$ 860$ 
C)  $- \$ 499$ 
D)  $\$ 860$ 
A)  $- \$ 625$ 
B)  $- \$ 860$ 
C)  $- \$ 499$ 
D)  $\$ 860$

Question 4

Some rational numbers are irrational.

Accepted Answer

A) True 
 B)False

Question 5

Multiply or divide as indicated. Write the answer in lowest terms.
-$\frac { 2 } { 7 } \cdot \frac { 5 } { 9 }$

Accepted Answer

A)  $1 \frac { 17 } { 18 }$ 
B)  $\frac { 18 } { 35 }$ 
C)  $6 \frac { 3 } { 10 }$ 
D)  $\frac { 10 } { 63 }$ 
A)  $1 \frac { 17 } { 18 }$ 
B)  $\frac { 18 } { 35 }$ 
C)  $6 \frac { 3 } { 10 }$ 
D)  $\frac { 10 } { 63 }$

Question 6

List the numbers in set B that belong to the indicated set.
-$B = \left\{ 11 , \sqrt { 6 } , - 23,0 , \frac { 0 } { 16 } , 2 \pi , \sqrt { 16 } \right\}$
Natural numbers

Accepted Answer

A)  $11,0 , \sqrt { 16 }$ 
B)  $11 , \sqrt { 16 }$ 
C)  11,0 
D)  $11,0 , \frac { 0 } { 4 }$ 
A)  $11,0 , \sqrt { 16 }$ 
B)  $11 , \sqrt { 16 }$ 
C)  11,0 
D)  $11,0 , \frac { 0 } { 4 }$

Question 7

Multiply or divide as indicated. Write the answer in lowest terms.
-$5 \frac { 4 } { 5 } \div \frac { 1 } { 5 }$

Accepted Answer

A)  $25 \frac { 4 } { 5 }$ 
B)  29 
C)  9 
D)  $1 \frac { 4 } { 25 }$ 
A)  $25 \frac { 4 } { 5 }$ 
B)  29 
C)  9 
D)  $1 \frac { 4 } { 25 }$

Question 8

Subtract.
-$9 - 10$

Accepted Answer

A)  1 
B)  $- 1$ 
C)  19 
D)  $- 19$ 
A)  1 
B)  $- 1$ 
C)  19 
D)  $- 19$

Question 9

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-The sum of 21 and a number is 36.

Accepted Answer

A)  $21 - x = 36$ 
B)  $36 + 21 = x$ 
C)  $21 = 36 + x$ 
D)  $21 + x = 36$ 
A)  $21 - x = 36$ 
B)  $36 + 21 = x$ 
C)  $21 = 36 + x$ 
D)  $21 + x = 36$

Question 10

Multiply.
-$( - 7 ) ( - 5 ) ( 0 ) ( 8 )$

Accepted Answer

A)  0 
B)  $- 40$ 
C)  280 
D)  $- 280$ 
A)  0 
B)  $- 40$ 
C)  280 
D)  $- 280$

Question 11

Simplify.
-$- | - 12 |$

Accepted Answer

A)  0 
B)  $- \frac { 1 } { 12 }$ 
C)  12 
D)  $- 12$ 
A)  0 
B)  $- \frac { 1 } { 12 }$ 
C)  12 
D)  $- 12$

Question 12

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-Eight minus three times a number is 40. An

Accepted Answer

A)  $8 - 3 x = 40$ 
B)  $8 x - 3 = 40$ 
C)  $3 - 8 x = 40$ 
D)  $3 x - 8 = 40$ 
A)  $8 - 3 x = 40$ 
B)  $8 x - 3 = 40$ 
C)  $3 - 8 x = 40$ 
D)  $3 x - 8 = 40$

Question 13

Evaluate the expression for the given replacement values.
-$x ^ { 2 } + y ^ { 2 } \quad x = 2 , y = - 7$

Accepted Answer

A)  53 
B)  28 
C)  196 
D)  18 
A)  53 
B)  28 
C)  196 
D)  18

Question 14

Decide whether the given number is a solution of the given equation.
-Is $- 7$ a solution of $x - 4 = 7$ ?

Accepted Answer

A) True 
 B)False

Question 15

Divide.
-$\frac { 60 } { - 2 }$

Accepted Answer

A)  30 
B)  $- \frac { 1 } { 30 }$ 
C)  $- 40$ 
D)  $- 30$ 
A)  30 
B)  $- \frac { 1 } { 30 }$ 
C)  $- 40$ 
D)  $- 30$

Question 16

Find the reciprocal or multiplicative inverse.
-$- \frac { 4 } { 7 }$

Accepted Answer

A)  $\frac { 7 } { 4 }$ 
B)  $- \frac { 7 } { 4 }$ 
C)  $- \frac { 4 } { 7 }$ 
D)  7 
A)  $\frac { 7 } { 4 }$ 
B)  $- \frac { 7 } { 4 }$ 
C)  $- \frac { 4 } { 7 }$ 
D)  7

Question 17

Solve. Simplify the answer.
-To obtain a certain shade of paint, Peter mixed 10 gallons of white paint with $2 \frac { 1 } { 2 }$ gallons of brown paint and 3 gallons of blue paint. How much paint did he have?

Accepted Answer

A)  $\frac { 5 } { 21 } \mathrm { gal }$ 
B)  $15 \frac { 1 } { 2 } \mathrm { gal }$ 
C)  $\frac { 2 } { 31 } \mathrm { gal }$ 
D)  $4 \frac { 1 } { 5 } \mathrm { gal }$ 
A)  $\frac { 5 } { 21 } \mathrm { gal }$ 
B)  $15 \frac { 1 } { 2 } \mathrm { gal }$ 
C)  $\frac { 2 } { 31 } \mathrm { gal }$ 
D)  $4 \frac { 1 } { 5 } \mathrm { gal }$

Question 18

Decide whether the given number is a solution of the given equation.
-Is 12 a solution of x - 1 = 11?

Accepted Answer

A) True 
 B)False

Question 19

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 number in a fraction below the fraction bar is called the .

Accepted Answer

A)  exponent 
B)  denominator 
C)  numerator 
D)  base 
A)  exponent 
B)  denominator 
C)  numerator 
D)  base

Question 20

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$10 ( 5 - 9 y )$

Accepted Answer

A)  $50 - 90 y$ 
B)  $50 - 9 y$ 
C)  $140 \mathrm { y }$ 
D)  $15 - 19 y$ 
A)  $50 - 90 y$ 
B)  $50 - 9 y$ 
C)  $140 \mathrm { y }$ 
D)  $15 - 19 y$

Simplify the expression. - $7 ^ { 2 } - 5 \cdot 5$

Use an integer to represent the value in the statement. -$196 profit

Solve. -The Neighborhood Lemonade Stand, Inc. reported net incomes of -$361, -$264, and -$235 for the past three years. What was its total net income for these three years?

Some rational numbers are irrational.

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 2 } { 7 } \cdot \frac { 5 } { 9 }$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 11 , \sqrt { 6 } , - 23,0 , \frac { 0 } { 16 } , 2 \pi , \sqrt { 16 } \right\}$ Natural numbers

Multiply or divide as indicated. Write the answer in lowest terms. - $5 \frac { 4 } { 5 } \div \frac { 1 } { 5 }$

Subtract. - $9 - 10$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The sum of 21 and a number is 36.

Multiply. - $( - 7 ) ( - 5 ) ( 0 ) ( 8 )$

Simplify. - $- | - 12 |$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -Eight minus three times a number is 40. An

Evaluate the expression for the given replacement values. - $x ^ { 2 } + y ^ { 2 } \quad x = 2 , y = - 7$

Decide whether the given number is a solution of the given equation. -Is $- 7$ a solution of $x - 4 = 7$ ?

Divide. - $\frac { 60 } { - 2 }$

Find the reciprocal or multiplicative inverse. - $- \frac { 4 } { 7 }$

Solve. Simplify the answer. -To obtain a certain shade of paint, Peter mixed 10 gallons of white paint with $2 \frac { 1 } { 2 }$ gallons of brown paint and 3 gallons of blue paint. How much paint did he have?

Decide whether the given number is a solution of the given equation. -Is 12 a solution of x - 1 = 11?

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 number in a fraction below the fraction bar is called the .

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $10 ( 5 - 9 y )$

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 the expression. - 72−5⋅57 ^ { 2 } - 5 \cdot 572−5⋅5

Use an integer to represent the value in the statement. -$196 profit

Solve. -The Neighborhood Lemonade Stand, Inc. reported net incomes of -$361, -$264, and -$235 for the past three years. What was its total net income for these three years?

Some rational numbers are irrational.

Multiply or divide as indicated. Write the answer in lowest terms. - 27⋅59\frac { 2 } { 7 } \cdot \frac { 5 } { 9 }72​⋅95​

List the numbers in set B that belong to the indicated set. - B={11,6,−23,0,016,2π,16}B = \left\{ 11 , \sqrt { 6 } , - 23,0 , \frac { 0 } { 16 } , 2 \pi , \sqrt { 16 } \right\}B={11,6​,−23,0,160​,2π,16​} Natural numbers

Multiply or divide as indicated. Write the answer in lowest terms. - 545÷155 \frac { 4 } { 5 } \div \frac { 1 } { 5 }554​÷51​

Subtract. - 9−109 - 109−10

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The sum of 21 and a number is 36.

Multiply. - (−7)(−5)(0)(8)( - 7 ) ( - 5 ) ( 0 ) ( 8 )(−7)(−5)(0)(8)

Simplify. - −∣−12∣- | - 12 |−∣−12∣

Write the sentence as an equation or inequality. Use x to represent any unknown number. -Eight minus three times a number is 40. An

Evaluate the expression for the given replacement values. - x2+y2x=2,y=−7x ^ { 2 } + y ^ { 2 } \quad x = 2 , y = - 7x2+y2x=2,y=−7

Decide whether the given number is a solution of the given equation. -Is −7- 7−7 a solution of x−4=7x - 4 = 7x−4=7 ?

Divide. - 60−2\frac { 60 } { - 2 }−260​

Find the reciprocal or multiplicative inverse. - −47- \frac { 4 } { 7 }−74​

Solve. Simplify the answer. -To obtain a certain shade of paint, Peter mixed 10 gallons of white paint with 2122 \frac { 1 } { 2 }221​ gallons of brown paint and 3 gallons of blue paint. How much paint did he have?

Decide whether the given number is a solution of the given equation. -Is 12 a solution of x - 1 = 11?

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 number in a fraction below the fraction bar is called the .

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 10(5−9y)10 ( 5 - 9 y )10(5−9y)

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 the expression. - $7 ^ { 2 } - 5 \cdot 5$

Multiply or divide as indicated. Write the answer in lowest terms. - $\frac { 2 } { 7 } \cdot \frac { 5 } { 9 }$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 11 , \sqrt { 6 } , - 23,0 , \frac { 0 } { 16 } , 2 \pi , \sqrt { 16 } \right\}$ Natural numbers

Multiply or divide as indicated. Write the answer in lowest terms. - $5 \frac { 4 } { 5 } \div \frac { 1 } { 5 }$

Subtract. - $9 - 10$

Multiply. - $( - 7 ) ( - 5 ) ( 0 ) ( 8 )$

Simplify. - $- | - 12 |$

Evaluate the expression for the given replacement values. - $x ^ { 2 } + y ^ { 2 } \quad x = 2 , y = - 7$

Decide whether the given number is a solution of the given equation. -Is $- 7$ a solution of $x - 4 = 7$ ?

Divide. - $\frac { 60 } { - 2 }$

Find the reciprocal or multiplicative inverse. - $- \frac { 4 } { 7 }$

Solve. Simplify the answer. -To obtain a certain shade of paint, Peter mixed 10 gallons of white paint with $2 \frac { 1 } { 2 }$ gallons of brown paint and 3 gallons of blue paint. How much paint did he have?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $10 ( 5 - 9 y )$