Question 1

Write the improper fraction as a mixed number.
-$\frac{27}{11}$

Accepted Answer

A)  $2 \frac{4}{11}$ 
B)  $5 \frac{1}{11}$ 
C)  $5 \frac{2}{11}$ 
D)  $2 \frac{5}{11}$ 
A)  $2 \frac{4}{11}$ 
B)  $5 \frac{1}{11}$ 
C)  $5 \frac{2}{11}$ 
D)  $2 \frac{5}{11}$

Question 2

Simplify the expression.
-$-4(7 z+m)$

Accepted Answer

A)  $-28 z-4 m$ 
B)  $28 z-4 m$ 
C)  $-28 z+4 m$ 
D)  $28 \mathrm{z}-\mathrm{m}$ 
A)  $-28 z-4 m$ 
B)  $28 z-4 m$ 
C)  $-28 z+4 m$ 
D)  $28 \mathrm{z}-\mathrm{m}$

Question 3

Write the set using interval notation.
-{x $\mid$-3 $\lt$ x$\lt$3}

Accepted Answer

A)  $(-3,3]$ 
B)  $(-3,3)$ 
C)  $[-3,3]$ 
D)  $[-3,3)$ 
A)  $(-3,3]$ 
B)  $(-3,3)$ 
C)  $[-3,3]$ 
D)  $[-3,3)$

Question 4

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
-$7+(-7)$; inverse

Accepted Answer

A)  14 
B)  0 
C)  49 
D)  -14 
A)  14 
B)  0 
C)  49 
D)  -14

Question 5

Find the appropriate property for the statement.
-$(2+6)+4=(6+2)+4$

Accepted Answer

A)  Commutative property 
B)  Associative property 
C)  Identity property 
D)  Distributive property 
A)  Commutative property 
B)  Associative property 
C)  Identity property 
D)  Distributive property

Question 6

Simplify the expression.
-$8 x-(2 x-5)-(-7 x+1)$

Accepted Answer

A)  $13 x+6$ 
B)  $13 x-6$ 
C)  $13 x+4$ 
D)  $17 x+4$ 
A)  $13 x+6$ 
B)  $13 x-6$ 
C)  $13 x+4$ 
D)  $17 x+4$

Question 7

Write the mixed number as an improper fraction.
-$6 \frac{5}{7}$

Accepted Answer

A)  $\frac{42}{5}$ 
B)  $\frac{47}{5}$ 
C)  $\frac{47}{7}$ 
D)  $\frac{42}{7}$ 
A)  $\frac{42}{5}$ 
B)  $\frac{47}{5}$ 
C)  $\frac{47}{7}$ 
D)  $\frac{42}{7}$

Question 8

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.
-$47.2 \div 5$

Accepted Answer

A)  0.106 
B)  9.44 
C)  94.4 
D)  0.944 
A)  0.106 
B)  9.44 
C)  94.4 
D)  0.944

Question 9

Change the fraction to a decimal. Round as indicated.
-$\frac{7}{12}$ thousand ths

Accepted Answer

A)  0.117 
B)  0.583 
C)  2.915 
D)  0.292 
A)  0.117 
B)  0.583 
C)  2.915 
D)  0.292

Question 10

Write as a decimal.
-$46.5 \%$

Accepted Answer

A)  4.65 
B)  0.0465 
C)  0.00465 
D)  0.465 
A)  4.65 
B)  0.0465 
C)  0.00465 
D)  0.465

Question 11

The NSC (Not So Consistent) Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss).
 $\begin{array}{lr} 
\text {Month }&\text { Profit (Loss) in Dollars} \
\hline \text {January} & -14,526  \
\text {February }& 1874 \
\text {March} & -8977 \
\text {April} &-14,107  \
\text {May} & 14,073 \
\text {June }& 14,632 \
\text {July} &-13,834  \
\text {August }& -13,170\
\text {September} & -4860 \
\text {October }& 6630 \
\text {November }& -3338 \
\text {December} & -974
\end{array}$
-The absolute value of the profit or loss was smallest in

Accepted Answer

A)  February 
B)  January 
C)  December 
D)  June 
A)  February 
B)  January 
C)  December 
D)  June

Question 12

Add or subtract as indicated.
-| - 16 - 17 |

Accepted Answer

A)  -33 
B)  33 
C)  1 
D)  -1 
A)  -33 
B)  33 
C)  1 
D)  -1

Question 13

Write the set using set-builder notation.
-$\{2,4,6,8,10\}$

Accepted Answer

A)  $\{x \mid x$ is any even natural number $\}$ 
B)  $\{2,4,6,8\}$ 
C)  $\{x \mid x$ is any integer $\}$ 
D)  $\{x \mid x$ is an even natural number less than or equal to 10$\}$ 
A)  $\{x \mid x$ is any even natural number $\}$ 
B)  $\{2,4,6,8\}$ 
C)  $\{x \mid x$ is any integer $\}$ 
D)  $\{x \mid x$ is an even natural number less than or equal to 10$\}$

Question 14

Write as a decimal.
-$6 \frac{1}{7} \%$

Accepted Answer

A)  6.0014 
B)  0.6143 
C)  6.1429 
D)  0.0614 
A)  6.0014 
B)  0.6143 
C)  6.1429 
D)  0.0614

Question 15

Determine whether the inequality is 
-$9 \cdot 10 \leq 5+5$

Accepted Answer

A) True 
 B)False

Question 16

Simplify the expression.
-$-4 b+9 b$

Accepted Answer

A)  $-13 b$ 
B)  $5 \mathrm{~b}$ 
C)  $-5 b$ 
D)  $5 b^{2}$ 
A)  $-13 b$ 
B)  $5 \mathrm{~b}$ 
C)  $-5 b$ 
D)  $5 b^{2}$

Question 17

Multiply as indicated. Write the answer as a fraction in lowest terms.
-$\frac{5}{7} \cdot \frac{20}{21}$

Accepted Answer

A)  $\frac{5}{147}$ 
B)  $\frac{100}{147}$ 
C)  $\frac{25}{28}$ 
D)  $\frac{4}{3}$ 
A)  $\frac{5}{147}$ 
B)  $\frac{100}{147}$ 
C)  $\frac{25}{28}$ 
D)  $\frac{4}{3}$

Question 18

Use a number line to answer to the statement.
  
-$9>17$

Accepted Answer

A) True 
 B)False

Question 19

Which property justifies the statement?
$(2 \cdot 9) \cdot 3=2 \cdot(9 \cdot 3)$

Accepted Answer

A)  Distributive property 
B)  Identity property 
C)  Associative property 
D)  Commutative property 
A)  Distributive property 
B)  Identity property 
C)  Associative property 
D)  Commutative property

Question 20

Explain how you can use the distributive property to help you evaluate 194.50.

Accepted Answer

Answers will vary. You might r

Write the improper fraction as a mixed number. - $\frac{27}{11}$

Simplify the expression. - $-4(7 z+m)$

Write the set using interval notation. -{x $\mid$ -3 $\lt$ x $\lt$ 3}

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $7+(-7)$ ; inverse

Find the appropriate property for the statement. - $(2+6)+4=(6+2)+4$

Simplify the expression. - $8 x-(2 x-5)-(-7 x+1)$

Write the mixed number as an improper fraction. - $6 \frac{5}{7}$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $47.2 \div 5$

Change the fraction to a decimal. Round as indicated. - $\frac{7}{12}$ thousand ths

Write as a decimal. - $46.5 \%$

Add or subtract as indicated. -| - 16 - 17 |

Write the set using set-builder notation. - $\{2,4,6,8,10\}$

Write as a decimal. - $6 \frac{1}{7} \%$

Determine whether the inequality is - $9 \cdot 10 \leq 5+5$

Simplify the expression. - $-4 b+9 b$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $\frac{5}{7} \cdot \frac{20}{21}$

Use a number line to answer to the statement. - $9>17$

Which property justifies the statement? $(2 \cdot 9) \cdot 3=2 \cdot(9 \cdot 3)$

Explain how you can use the distributive property to help you evaluate 194.50.

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

Write the improper fraction as a mixed number. - 2711\frac{27}{11}1127​

Simplify the expression. - −4(7z+m)-4(7 z+m)−4(7z+m)

Write the set using interval notation. -{x ∣\mid∣ -3 <\lt< x <\lt< 3}

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - 7+(−7)7+(-7)7+(−7) ; inverse

Find the appropriate property for the statement. - (2+6)+4=(6+2)+4(2+6)+4=(6+2)+4(2+6)+4=(6+2)+4

Simplify the expression. - 8x−(2x−5)−(−7x+1)8 x-(2 x-5)-(-7 x+1)8x−(2x−5)−(−7x+1)

Write the mixed number as an improper fraction. - 6576 \frac{5}{7}675​

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - 47.2÷547.2 \div 547.2÷5

Change the fraction to a decimal. Round as indicated. - 712\frac{7}{12}127​ thousand ths

Write as a decimal. - 46.5%46.5 \%46.5%

Add or subtract as indicated. -| - 16 - 17 |

Write the set using set-builder notation. - {2,4,6,8,10}\{2,4,6,8,10\}{2,4,6,8,10}

Write as a decimal. - 617%6 \frac{1}{7} \%671​%

Determine whether the inequality is - 9⋅10≤5+59 \cdot 10 \leq 5+59⋅10≤5+5

Simplify the expression. - −4b+9b-4 b+9 b−4b+9b

Multiply as indicated. Write the answer as a fraction in lowest terms. - 57⋅2021\frac{5}{7} \cdot \frac{20}{21}75​⋅2120​

Use a number line to answer to the statement. - 9>179>179>17

Which property justifies the statement? (2⋅9)⋅3=2⋅(9⋅3)(2 \cdot 9) \cdot 3=2 \cdot(9 \cdot 3)(2⋅9)⋅3=2⋅(9⋅3)

Explain how you can use the distributive property to help you evaluate 194.50.

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

Write the improper fraction as a mixed number. - $\frac{27}{11}$

Simplify the expression. - $-4(7 z+m)$

Write the set using interval notation. -{x $\mid$ -3 $\lt$ x $\lt$ 3}

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $7+(-7)$ ; inverse

Find the appropriate property for the statement. - $(2+6)+4=(6+2)+4$

Simplify the expression. - $8 x-(2 x-5)-(-7 x+1)$

Write the mixed number as an improper fraction. - $6 \frac{5}{7}$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $47.2 \div 5$

Change the fraction to a decimal. Round as indicated. - $\frac{7}{12}$ thousand ths

Write as a decimal. - $46.5 \%$

Write the set using set-builder notation. - $\{2,4,6,8,10\}$

Write as a decimal. - $6 \frac{1}{7} \%$

Determine whether the inequality is - $9 \cdot 10 \leq 5+5$

Simplify the expression. - $-4 b+9 b$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $\frac{5}{7} \cdot \frac{20}{21}$

Use a number line to answer to the statement. - $9>17$

Which property justifies the statement? $(2 \cdot 9) \cdot 3=2 \cdot(9 \cdot 3)$