Question 1

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-16

Accepted Answer

A)  whole, rational, real 
B)  real 
C)  integer, rational, real 
D)  natural, whole, integer, rational, real 
A)  whole, rational, real 
B)  real 
C)  integer, rational, real 
D)  natural, whole, integer, rational, real

Question 2

Write the number as a product of primes.
-12

Accepted Answer

A)  $6 \cdot 2$ 
B)  $4 \cdot 3$ 
C)  $3 \cdot 3$ 
D)  $2 \cdot 2 \cdot 3$ 
A)  $6 \cdot 2$ 
B)  $4 \cdot 3$ 
C)  $3 \cdot 3$ 
D)  $2 \cdot 2 \cdot 3$

Question 3

Simplify the expression.
-$\frac { | - 5 | + 9 } { 3 - 5 }$

Accepted Answer

A)  3 
B)  $- 2$ 
C)  $- 7$ 
D)  7 
A)  3 
B)  $- 2$ 
C)  $- 7$ 
D)  7

Question 4

Use the commutative and associative properties to simplify the expression.
--2(7y)

Accepted Answer

A)  $14 \mathrm { y }$ 
B)  $5 y$ 
C)  $- 14 + y$ 
D)  $- 14 y$ 
A)  $14 \mathrm { y }$ 
B)  $5 y$ 
C)  $- 14 + y$ 
D)  $- 14 y$

Question 5

List the numbers in set B that belong to the indicated set.
-$B = \left\{ 17 , \sqrt { 7 } , - 16,0 , \frac { 0 } { 7 } , \sqrt { 4 } , \frac { - 2 } { 0 } , 2 \pi , 0.93 \right\}$
Rational numbers

Accepted Answer

A)  $17 , - 16,0 , \frac { 0 } { 7 } , \sqrt { 4 } , 0.93$ 
B)  $\sqrt { 7 } , \frac { 0 } { 7 } , 0.93$ 
C)  $\sqrt { 7 } , \sqrt { 4 }$ 
D)  $17,0 , \sqrt { 4 } , 2 \pi$ 
A)  $17 , - 16,0 , \frac { 0 } { 7 } , \sqrt { 4 } , 0.93$ 
B)  $\sqrt { 7 } , \frac { 0 } { 7 } , 0.93$ 
C)  $\sqrt { 7 } , \sqrt { 4 }$ 
D)  $17,0 , \sqrt { 4 } , 2 \pi$

Question 6

Insert  , or = to make the statement true.
-$- 54$_______ $- 43$

Accepted Answer

A)   
A)

Question 7

Solve the problem.
-An angle measuring $90 ^ { \circ }$ is shown and an angle measuring $60 ^ { \circ }$ is shown. Use the inequality symbol $\leq$ or $\geq$ to write a statement comparing the numbers 90 and 60 .

Accepted Answer

A)  $90 \geq 60$ 
B)  $90 \leq 60$ 
A)  $90 \geq 60$ 
B)  $90 \leq 60$

Question 8

Decide whether the given number is a solution of the given equation.
-Is 0 a solution of x = 6x - 30?

Accepted Answer

A) True 
 B)False

Question 9

Multiply or divide as indicated. Write the answer in lowest terms.
-$1 \frac { 4 } { 5 } \div 5 \frac { 1 } { 10 }$

Accepted Answer

A)  $8 \frac { 1 } { 5 }$ 
B)  $9 \frac { 9 } { 50 }$ 
C)  $\frac { 6 } { 17 }$ 
D)  $1 \frac { 2 } { 3 }$ 
A)  $8 \frac { 1 } { 5 }$ 
B)  $9 \frac { 9 } { 50 }$ 
C)  $\frac { 6 } { 17 }$ 
D)  $1 \frac { 2 } { 3 }$

Question 10

Find the reciprocal or multiplicative inverse.
-$\frac { 1 } { 7.7 }$

Accepted Answer

A)  no reciprocal 
B)  $- 7.7$ 
C)  $7.7$ 
D)  $- \frac { 1 } { 7.7 }$ 
A)  no reciprocal 
B)  $- 7.7$ 
C)  $7.7$ 
D)  $- \frac { 1 } { 7.7 }$

Question 11

Subtract.
-$16 - 16$

Accepted Answer

A)  0 
B)  1 
C)  16 
D)  $- 16$ 
A)  0 
B)  1 
C)  16 
D)  $- 16$

Question 12

Insert  , or = to make the statement true.
-

Accepted Answer

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

Question 13

Insert , or = to make the statement true.
-| - 5 | ___ | 5 |

Accepted Answer

A)  $<$ 
B)  $=$ 
A)  $<$ 
B)  $=$

Question 14

Multiply or divide as indicated. Write the answer in lowest terms.
-$4 \frac { 1 } { 2 } \cdot 3 \frac { 1 } { 3 }$

Accepted Answer

A)  12 
B)  14 
C)  10 
D)  15 
A)  12 
B)  14 
C)  10 
D)  15

Question 15

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-The sum of 10 and twice a number is 46 .

Accepted Answer

A)  $10 + 2 x = 46$ 
B)  $10 x - 2 = 46$ 
C)  $10 x + 2 = 46$ 
D)  $46 + 2 x = 10$ 
A)  $10 + 2 x = 46$ 
B)  $10 x - 2 = 46$ 
C)  $10 x + 2 = 46$ 
D)  $46 + 2 x = 10$

Question 16

Simplify the expression. (Remember the order of operations.)
-$22 - ( - 20 ) + 20 + ( - 8 )$

Accepted Answer

A)  $- 14$ 
B)  30 
C)  $- 30$ 
D)  54 
A)  $- 14$ 
B)  30 
C)  $- 30$ 
D)  54

Question 17

Solve. Simplify the answer.
-Last week, Samantha ran 18 miles. This week, she ran $16 \frac { 1 } { 2 }$ miles. How much more did she run last week?

Accepted Answer

A)  $25 \frac { 1 } { 2 } \mathrm { mi }$ 
B)  $1 \frac { 7 } { 11 } \mathrm { mi }$ 
C)  $1 \frac { 1 } { 2 } \mathrm { mi }$ 
D)  $34 \frac { 1 } { 2 } \mathrm { mi }$ 
A)  $25 \frac { 1 } { 2 } \mathrm { mi }$ 
B)  $1 \frac { 7 } { 11 } \mathrm { mi }$ 
C)  $1 \frac { 1 } { 2 } \mathrm { mi }$ 
D)  $34 \frac { 1 } { 2 } \mathrm { mi }$

Question 18

$4 \cdot 7 \leq 7 + 11$

Accepted Answer

A) True 
 B)False

Question 19

Subtract.
-$- 1 - 12$

Accepted Answer

A)  11 
B)  13 
C)  $- 11$ 
D)  $- 13$ 
A)  11 
B)  13 
C)  $- 11$ 
D)  $- 13$

Question 20

Identify the property illustrated by the expression.
-$13 + ( 23 + 5 ) = ( 13 + 23 ) + 5$

Accepted Answer

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

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. -16

Write the number as a product of primes. -12

Simplify the expression. - $\frac { | - 5 | + 9 } { 3 - 5 }$

Use the commutative and associative properties to simplify the expression. --2(7y)

List the numbers in set B that belong to the indicated set. - $B = \left\{ 17 , \sqrt { 7 } , - 16,0 , \frac { 0 } { 7 } , \sqrt { 4 } , \frac { - 2 } { 0 } , 2 \pi , 0.93 \right\}$ Rational numbers

Insert $< , >$ , or = to make the statement true. - $- 54$ _______ $- 43$

Decide whether the given number is a solution of the given equation. -Is 0 a solution of x = 6x - 30?

Multiply or divide as indicated. Write the answer in lowest terms. - $1 \frac { 4 } { 5 } \div 5 \frac { 1 } { 10 }$

Find the reciprocal or multiplicative inverse. - $\frac { 1 } { 7.7 }$

Subtract. - $16 - 16$

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

Insert <, >, or = to make the statement true. -| - 5 | ___ | 5 |

Multiply or divide as indicated. Write the answer in lowest terms. - $4 \frac { 1 } { 2 } \cdot 3 \frac { 1 } { 3 }$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The sum of 10 and twice a number is 46 .

Simplify the expression. (Remember the order of operations.) - $22 - ( - 20 ) + 20 + ( - 8 )$

Solve. Simplify the answer. -Last week, Samantha ran 18 miles. This week, she ran $16 \frac { 1 } { 2 }$ miles. How much more did she run last week?

$4 \cdot 7 \leq 7 + 11$

Subtract. - $- 1 - 12$

Identify the property illustrated by the expression. - $13 + ( 23 + 5 ) = ( 13 + 23 ) + 5$

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

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. -16

Write the number as a product of primes. -12

Simplify the expression. - ∣−5∣+93−5\frac { | - 5 | + 9 } { 3 - 5 }3−5∣−5∣+9​

Use the commutative and associative properties to simplify the expression. --2(7y)

List the numbers in set B that belong to the indicated set. - B={17,7,−16,0,07,4,−20,2π,0.93}B = \left\{ 17 , \sqrt { 7 } , - 16,0 , \frac { 0 } { 7 } , \sqrt { 4 } , \frac { - 2 } { 0 } , 2 \pi , 0.93 \right\}B={17,7​,−16,0,70​,4​,0−2​,2π,0.93} Rational numbers

Insert <,>< , ><,> , or = to make the statement true. - −54- 54−54 _______ −43- 43−43

Solve the problem. -An angle measuring 90∘90 ^ { \circ }90∘ is shown and an angle measuring 60∘60 ^ { \circ }60∘ is shown. Use the inequality symbol ≤\leq≤ or ≥\geq≥ to write a statement comparing the numbers 90 and 60 .

Decide whether the given number is a solution of the given equation. -Is 0 a solution of x = 6x - 30?

Multiply or divide as indicated. Write the answer in lowest terms. - 145÷51101 \frac { 4 } { 5 } \div 5 \frac { 1 } { 10 }154​÷5101​

Find the reciprocal or multiplicative inverse. - 17.7\frac { 1 } { 7.7 }7.71​

Subtract. - 16−1616 - 1616−16

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

Insert <, >, or = to make the statement true. -| - 5 | ___ | 5 |

Multiply or divide as indicated. Write the answer in lowest terms. - 412⋅3134 \frac { 1 } { 2 } \cdot 3 \frac { 1 } { 3 }421​⋅331​

Write the sentence as an equation or inequality. Use x to represent any unknown number. -The sum of 10 and twice a number is 46 .

Simplify the expression. (Remember the order of operations.) - 22−(−20)+20+(−8)22 - ( - 20 ) + 20 + ( - 8 )22−(−20)+20+(−8)

Solve. Simplify the answer. -Last week, Samantha ran 18 miles. This week, she ran 161216 \frac { 1 } { 2 }1621​ miles. How much more did she run last week?

4⋅7≤7+114 \cdot 7 \leq 7 + 114⋅7≤7+11

Subtract. - −1−12- 1 - 12−1−12

Identify the property illustrated by the expression. - 13+(23+5)=(13+23)+513 + ( 23 + 5 ) = ( 13 + 23 ) + 513+(23+5)=(13+23)+5

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. - $\frac { | - 5 | + 9 } { 3 - 5 }$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 17 , \sqrt { 7 } , - 16,0 , \frac { 0 } { 7 } , \sqrt { 4 } , \frac { - 2 } { 0 } , 2 \pi , 0.93 \right\}$ Rational numbers

Insert $< , >$ , or = to make the statement true. - $- 54$ _______ $- 43$

Multiply or divide as indicated. Write the answer in lowest terms. - $1 \frac { 4 } { 5 } \div 5 \frac { 1 } { 10 }$

Find the reciprocal or multiplicative inverse. - $\frac { 1 } { 7.7 }$

Subtract. - $16 - 16$

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

Multiply or divide as indicated. Write the answer in lowest terms. - $4 \frac { 1 } { 2 } \cdot 3 \frac { 1 } { 3 }$

Simplify the expression. (Remember the order of operations.) - $22 - ( - 20 ) + 20 + ( - 8 )$

Solve. Simplify the answer. -Last week, Samantha ran 18 miles. This week, she ran $16 \frac { 1 } { 2 }$ miles. How much more did she run last week?

$4 \cdot 7 \leq 7 + 11$

Subtract. - $- 1 - 12$

Identify the property illustrated by the expression. - $13 + ( 23 + 5 ) = ( 13 + 23 ) + 5$