Question 1

Use inequality symbols to rewrite the statement.
-$x$ is between 4 and 13 .

Accepted Answer

A) $4>x>13$ B) $4\lt x \leq 13$ C) $4 \leq x<13$ D) $4\lt x<13$ A) $4>x>13$ B) $4\lt x \leq 13$ C) $4 \leq x<13$ D) $4\lt x<13$

Question 2

Write the set using set-builder notation.
-$\{7,8,9,10,11\}$

Accepted Answer

A)  $\{x \mid x$ is an integer between 6 and 12$\}$ 
B)  $\{x \mid x$ is an irrational number between 6 and 12$\}$ 
C)  $\{x \mid x$ is an integer between 7 and 11$\}$ 
D)  $\{x \mid x$ is a number between 7 and 11$\}$ 
A)  $\{x \mid x$ is an integer between 6 and 12$\}$ 
B)  $\{x \mid x$ is an irrational number between 6 and 12$\}$ 
C)  $\{x \mid x$ is an integer between 7 and 11$\}$ 
D)  $\{x \mid x$ is a number between 7 and 11$\}$

Question 3

Perform the indicated operations.
-$-2+8-5$

Accepted Answer

A)  11 
B)  1 
C)  -5 
D)  -15 
A)  11 
B)  1 
C)  -5 
D)  -15

Question 4

Change the fraction to a decimal. Round as indicated.
-$1 \frac{7}{25}$ hundredths

Accepted Answer

A)  0.26 
B)  1.28 
C)  6.40 
D)  0.64 
A)  0.26 
B)  1.28 
C)  6.40 
D)  0.64

Question 5

$(-3)^{6}$ is a negative number.

Accepted Answer

A) True 
 B)False

Question 6

Use the order of operations to simplify the expression.
-$\frac{8 \cdot(8-3)+8 \cdot 4}{8 \cdot(7-1)}$

Accepted Answer

A)  $\frac{5}{2}$ 
B)  2 
C)  240 
D)  $\frac{3}{2}$ 
A)  $\frac{5}{2}$ 
B)  2 
C)  240 
D)  $\frac{3}{2}$

Question 7

Write as a decimal.
-$36 \%$

Accepted Answer

A)  0.36 
B)  0.25 
C)  3.6 
D)  0.036 
A)  0.36 
B)  0.25 
C)  3.6 
D)  0.036

Question 8

Evaluate the expression for $a=-5, b=16$ and $c=7$.
-$a b c+b^{2}$

Accepted Answer

A)  -108 
B)  -114 
C)  114 
D)  -304 
A)  -108 
B)  -114 
C)  114 
D)  -304

Question 9

The absolute value of any number is positive.

Accepted Answer

A) True 
 B)False

Question 10

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
-$5.26+5.657$

Accepted Answer

A)  -0.397 
B)  0.397 
C)  11.017 
D)  10.917 
A)  -0.397 
B)  0.397 
C)  11.017 
D)  10.917

Question 11

Add as indicated. Write the answer as a fraction in lowest terms.
-$\frac{9}{22}+\frac{4}{11}$

Accepted Answer

A)  $\frac{17}{44}$ 
B)  $\frac{36}{11}$ 
C)  $\frac{17}{22}$ 
D)  $\frac{1}{22}$ 
A)  $\frac{17}{44}$ 
B)  $\frac{36}{11}$ 
C)  $\frac{17}{22}$ 
D)  $\frac{1}{22}$

Question 12

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
-7(5x); associative

Accepted Answer

A)  $35 x$ 
B)  $35+7 x$ 
C)  $(5 x) 7$ 
D)  $12 x$ 
A)  $35 x$ 
B)  $35+7 x$ 
C)  $(5 x) 7$ 
D)  $12 x$

Question 13

Write the set by listing its elements.
-$\{\mathrm{a}$ | a is a whole number multiple of 4 \}

Accepted Answer

A)  $\{0,4,8,12,16\}$ 
B)  $\{0,4,8,12,16, \ldots\}$ 
C)  $\{\ldots,-8,-4,0,4,8, \ldots\}$ 
D)  $\{4,8,12,16, \ldots\}$ 
A)  $\{0,4,8,12,16\}$ 
B)  $\{0,4,8,12,16, \ldots\}$ 
C)  $\{\ldots,-8,-4,0,4,8, \ldots\}$ 
D)  $\{4,8,12,16, \ldots\}$

Question 14

Rewrite the statement so the inequality symbol points in the opposite direction.
-$39>9$

Accepted Answer

A)  $39 \geq 9$ 
B)  $939$ 
A)  $39 \geq 9$ 
B)  $939$

Question 15

Perform the indicated operation.
-$\frac{112}{-4}$

Accepted Answer

A)  $\frac{1}{28}$ 
B)  $-\frac{1}{28}$ 
C)  28 
D)  -28 
A)  $\frac{1}{28}$ 
B)  $-\frac{1}{28}$ 
C)  28 
D)  -28

Question 16

Give the additive inverse of the number.
--26

Accepted Answer

A)  26 
B)  0 
C)  $-\frac{1}{26}$ 
D)  -26 
A)  26 
B)  0 
C)  $-\frac{1}{26}$ 
D)  -26

Question 17

Graph the elements of the set on a number line.
-$\{-5,-3,-1,1\}$

Accepted Answer

A)   
B) 
  
C) 
  
D) 
  
A)   
B) 
  
C) 
  
D)

Question 18

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
-$11-0.749$

Accepted Answer

A)  -10.251 
B)  11.749 
C)  10.251 
D)  10.351 
A)  -10.251 
B)  11.749 
C)  10.251 
D)  10.351

Question 19

Perform the indicated operation.
-$\frac{-48}{-3}$

Accepted Answer

A)  $\frac{1}{16}$ 
B)  16 
C)  -16 
D)  6 
A)  $\frac{1}{16}$ 
B)  16 
C)  -16 
D)  6

Question 20

Write the set by listing its elements.
-$\{\mathrm{a} \mid \mathrm{a}$ is a counting number multiple of 8$\}$

Accepted Answer

A)  $\{\ldots,-16,-8,0,8,16, \ldots\}$ 
B)  $\{8,16,24,32, \ldots\}$ 
C)  $\{8,16,24,32\}$ 
D)  $\{0,8,16,24,32, \ldots\}$ 
A)  $\{\ldots,-16,-8,0,8,16, \ldots\}$ 
B)  $\{8,16,24,32, \ldots\}$ 
C)  $\{8,16,24,32\}$ 
D)  $\{0,8,16,24,32, \ldots\}$

Use inequality symbols to rewrite the statement. - $x$ is between 4 and 13 .

Write the set using set-builder notation. - $\{7,8,9,10,11\}$

Perform the indicated operations. - $-2+8-5$

Change the fraction to a decimal. Round as indicated. - $1 \frac{7}{25}$ hundredths

$(-3)^{6}$ is a negative number.

Use the order of operations to simplify the expression. - $\frac{8 \cdot(8-3)+8 \cdot 4}{8 \cdot(7-1)}$

Write as a decimal. - $36 \%$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $a b c+b^{2}$

The absolute value of any number is positive.

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $5.26+5.657$

Add as indicated. Write the answer as a fraction in lowest terms. - $\frac{9}{22}+\frac{4}{11}$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. -7(5x); associative

Write the set by listing its elements. - $\{\mathrm{a}$ | a is a whole number multiple of 4 \}

Rewrite the statement so the inequality symbol points in the opposite direction. - $39>9$

Perform the indicated operation. - $\frac{112}{-4}$

Give the additive inverse of the number. --26

Graph the elements of the set on a number line. - $\{-5,-3,-1,1\}$ $Graph the elements of the set on a number line. - \{-5,-3,-1,1\}$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $11-0.749$

Perform the indicated operation. - $\frac{-48}{-3}$

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is a counting number multiple of 8 $\}$

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 1: Review of the Real Number System

Use inequality symbols to rewrite the statement. - xxx is between 4 and 13 .

Write the set using set-builder notation. - {7,8,9,10,11}\{7,8,9,10,11\}{7,8,9,10,11}

Perform the indicated operations. - −2+8−5-2+8-5−2+8−5

Change the fraction to a decimal. Round as indicated. - 17251 \frac{7}{25}1257​ hundredths

(−3)6(-3)^{6}(−3)6 is a negative number.

Use the order of operations to simplify the expression. - 8⋅(8−3)+8⋅48⋅(7−1)\frac{8 \cdot(8-3)+8 \cdot 4}{8 \cdot(7-1)}8⋅(7−1)8⋅(8−3)+8⋅4​

Write as a decimal. - 36%36 \%36%

Evaluate the expression for a=−5,b=16a=-5, b=16a=−5,b=16 and c=7c=7c=7 . - abc+b2a b c+b^{2}abc+b2

The absolute value of any number is positive.

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 5.26+5.6575.26+5.6575.26+5.657

Add as indicated. Write the answer as a fraction in lowest terms. - 922+411\frac{9}{22}+\frac{4}{11}229​+114​

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. -7(5x); associative

Write the set by listing its elements. - {a\{\mathrm{a}{a | a is a whole number multiple of 4 \}

Rewrite the statement so the inequality symbol points in the opposite direction. - 39>939>939>9

Perform the indicated operation. - 112−4\frac{112}{-4}−4112​

Give the additive inverse of the number. --26

Graph the elements of the set on a number line. - {−5,−3,−1,1}\{-5,-3,-1,1\}{−5,−3,−1,1}

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 11−0.74911-0.74911−0.749

Perform the indicated operation. - −48−3\frac{-48}{-3}−3−48​

Write the set by listing its elements. - {a∣a\{\mathrm{a} \mid \mathrm{a}{a∣a is a counting number multiple of 8 }\}}

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Use inequality symbols to rewrite the statement. - $x$ is between 4 and 13 .

Write the set using set-builder notation. - $\{7,8,9,10,11\}$

Perform the indicated operations. - $-2+8-5$

Change the fraction to a decimal. Round as indicated. - $1 \frac{7}{25}$ hundredths

$(-3)^{6}$ is a negative number.

Use the order of operations to simplify the expression. - $\frac{8 \cdot(8-3)+8 \cdot 4}{8 \cdot(7-1)}$

Write as a decimal. - $36 \%$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $a b c+b^{2}$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $5.26+5.657$

Add as indicated. Write the answer as a fraction in lowest terms. - $\frac{9}{22}+\frac{4}{11}$

Write the set by listing its elements. - $\{\mathrm{a}$ | a is a whole number multiple of 4 \}

Rewrite the statement so the inequality symbol points in the opposite direction. - $39>9$

Perform the indicated operation. - $\frac{112}{-4}$

Graph the elements of the set on a number line. - $\{-5,-3,-1,1\}$ $Graph the elements of the set on a number line. - \{-5,-3,-1,1\}$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $11-0.749$

Perform the indicated operation. - $\frac{-48}{-3}$

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is a counting number multiple of 8 $\}$