Question 1

Determine whether the inequality is 
-$-35 \geq-|-5|$

Accepted Answer

A) True 
 B)False  False

Question 2

Simplify the expression.
-$12 \mathrm{a}-10 \mathrm{a}+2$

Accepted Answer

A)  $22 a+2$ 
B)  $4 \mathrm{a}$ 
C)  $-2 a+2$ 
D)  $2 a+2$ 
A)  $22 a+2$ 
B)  $4 \mathrm{a}$ 
C)  $-2 a+2$ 
D)  $2 a+2$ D

Question 3

Divide as indicated. Write the answer as a fraction in lowest terms.
-$5 \div 6 \frac{2}{3}$

Accepted Answer

A)  $\frac{1}{4}$ 
B)  $\frac{40}{7}$ 
C)  $\frac{100}{3}$ 
D)  $\frac{3}{4}$ 
A)  $\frac{1}{4}$ 
B)  $\frac{40}{7}$ 
C)  $\frac{100}{3}$ 
D)  $\frac{3}{4}$ D

Question 4

Write the expression by using exponents.
-$(-3)(-3)(-3)(-3)(-3)$

Accepted Answer

A)  $(-3)^{5}$ 
B)  $3^{5}$ 
C)  $5^{-3}$ 
D)  -15 
A)  $(-3)^{5}$ 
B)  $3^{5}$ 
C)  $5^{-3}$ 
D)  -15

Question 5

Use the order of operations to simplify the expression.
-$\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}$

Accepted Answer

A)  $-\frac{520}{7}$ 
B)  $\frac{180}{7}$ 
C)  -40 
D)  $\frac{20}{7}$ 
A)  $-\frac{520}{7}$ 
B)  $\frac{180}{7}$ 
C)  -40 
D)  $\frac{20}{7}$

Question 6

Use a number line to answer to the statement.
  
-$-6 \geq 15$

Accepted Answer

A) True 
 B)False

Question 7

Multiply as indicated. Write the answer as a fraction in lowest terms.
-$2 \frac{1}{20} \cdot 3 \frac{2}{5}$

Accepted Answer

A)  $\frac{68}{41}$ 
B)  $\frac{697}{100}$ 
C)  $\frac{41}{300}$ 
D)  $\frac{133}{55}$ 
A)  $\frac{68}{41}$ 
B)  $\frac{697}{100}$ 
C)  $\frac{41}{300}$ 
D)  $\frac{133}{55}$

Question 8

Write as a decimal.
-$0.93 \%$

Accepted Answer

A)  0.093 
B)  0.0093 
C)  0.0103 
D)  0.93 
A)  0.093 
B)  0.0093 
C)  0.0103 
D)  0.93

Question 9

Write as a decimal.
-$27.55 \%$

Accepted Answer

A)  0.2755 
B)  0.2655 
C)  0.02755 
D)  2.755 
A)  0.2755 
B)  0.2655 
C)  0.02755 
D)  2.755

Question 10

List the elements from A that belong to the set.
-$\mathrm{A}=\left\{-\sqrt{7},-7,-0.32,0, \sqrt{16}, \frac{24}{4}, 8, \sqrt{-2}\right\}$
Real numbers

Accepted Answer

A)  $-7,-0.32,0, \sqrt{16}$ (or 4$), \frac{24}{4}$ (or 6 ) , $8, \sqrt{-2}$ 
B)  $-\sqrt{7},-7,-0.32,0, \sqrt{16}$ (or 4 ), $\frac{24}{4}$ (or 6 ) $, 8, \sqrt{-2}$ 
C)  $-7,-0.32,0, \sqrt{16}$ (or 4 ), $\frac{24}{4}$ (or 6 ), 8 
D)  All are real numbers except $\sqrt{-2}$ 
A)  $-7,-0.32,0, \sqrt{16}$ (or 4$), \frac{24}{4}$ (or 6 ) , $8, \sqrt{-2}$ 
B)  $-\sqrt{7},-7,-0.32,0, \sqrt{16}$ (or 4 ), $\frac{24}{4}$ (or 6 ) $, 8, \sqrt{-2}$ 
C)  $-7,-0.32,0, \sqrt{16}$ (or 4 ), $\frac{24}{4}$ (or 6 ), 8 
D)  All are real numbers except $\sqrt{-2}$

Question 11

Write the percent as a fraction in lowest terms.
-$800 \%$

Accepted Answer

A)  8000 
B)  800 
C)  80 
D)  8 
A)  8000 
B)  800 
C)  80 
D)  8

Question 12

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
-$3(\mathrm{r}+\mathrm{k})$; distributive

Accepted Answer

A)  $r(3+k)$ 
B)  $3 r-3 k$ 
C)  $3 r+3 k$ 
D)  $3 r+k$ 
A)  $r(3+k)$ 
B)  $3 r-3 k$ 
C)  $3 r+3 k$ 
D)  $3 r+k$

Question 13

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
-$\frac{29}{50}$

Accepted Answer

A)  $5.8 \%$ 
B)  $58 \%$ 
C)  $29 \%$ 
D)  $1000 \%$ 
A)  $5.8 \%$ 
B)  $58 \%$ 
C)  $29 \%$ 
D)  $1000 \%$

Question 14

Find the appropriate property for the statement.
-$2 x+7 x=(2+7) x$

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 15

Write the mixed number as an improper fraction.
-$4 \frac{5}{6}$

Accepted Answer

A)  $\frac{29}{5}$ 
B)  $\frac{24}{5}$ 
C)  $\frac{29}{6}$ 
D)  $\frac{24}{6}$ 
A)  $\frac{29}{5}$ 
B)  $\frac{24}{5}$ 
C)  $\frac{29}{6}$ 
D)  $\frac{24}{6}$

Question 16

Use the order of operations to simplify the expression.
-$28+12 \cdot 30$

Accepted Answer

A)  1200 
B)  70 
C)  366 
D)  388 
A)  1200 
B)  70 
C)  366 
D)  388

Question 17

Use a number line to answer to the statement.
  
-$-15>-9$

Accepted Answer

A) True 
 B)False

Question 18

Use the order of operations to simplify the expression.
-$\frac{\frac{7}{10} \cdot 12+8}{-\frac{1}{11} \cdot 9-5}$

Accepted Answer

A)  $-\frac{451}{160}$ 
B)  $-\frac{77}{32}$ 
C)  $-\frac{77}{2}$ 
D)  $-\frac{451}{10}$ 
A)  $-\frac{451}{160}$ 
B)  $-\frac{77}{32}$ 
C)  $-\frac{77}{2}$ 
D)  $-\frac{451}{10}$

Question 19

Evaluate the expression.
-$-3^{2}$

Accepted Answer

A)  -8 
B)  9 
C)  -9 
D)  -6 
A)  -8 
B)  9 
C)  -9 
D)  -6

Question 20

A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 6 inches wide. When it is trimmed, it is $5 \frac{7}{16}$ inches wide. How much width was trimmed off?

Accepted Answer

A)  $6 \frac{9}{16}$ inches 
B)  $\frac{9}{16}$ inch 
C)  $\frac{7}{16}$ inch 
D)  $\frac{87}{16}$ inches 
A)  $6 \frac{9}{16}$ inches 
B)  $\frac{9}{16}$ inch 
C)  $\frac{7}{16}$ inch 
D)  $\frac{87}{16}$ inches

Determine whether the inequality is - $-35 \geq-|-5|$

Simplify the expression. - $12 \mathrm{a}-10 \mathrm{a}+2$

Divide as indicated. Write the answer as a fraction in lowest terms. - $5 \div 6 \frac{2}{3}$

Write the expression by using exponents. - $(-3)(-3)(-3)(-3)(-3)$

Use the order of operations to simplify the expression. - $\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}$

Use a number line to answer to the statement. $Use a number line to answer to the statement. - -6 \geq 15$ - $-6 \geq 15$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $2 \frac{1}{20} \cdot 3 \frac{2}{5}$

Write as a decimal. - $0.93 \%$

Write as a decimal. - $27.55 \%$

List the elements from A that belong to the set. - $\mathrm{A}=\left\{-\sqrt{7},-7,-0.32,0, \sqrt{16}, \frac{24}{4}, 8, \sqrt{-2}\right\}$ Real numbers

Write the percent as a fraction in lowest terms. - $800 \%$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $3(\mathrm{r}+\mathrm{k})$ ; distributive

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{29}{50}$

Find the appropriate property for the statement. - $2 x+7 x=(2+7) x$

Write the mixed number as an improper fraction. - $4 \frac{5}{6}$

Use the order of operations to simplify the expression. - $28+12 \cdot 30$

Use a number line to answer to the statement. - $-15>-9$

Use the order of operations to simplify the expression. - $\frac{\frac{7}{10} \cdot 12+8}{-\frac{1}{11} \cdot 9-5}$

Evaluate the expression. - $-3^{2}$

A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 6 inches wide. When it is trimmed, it is $5 \frac{7}{16}$ inches wide. How much width was trimmed off?

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

Determine whether the inequality is - −35≥−∣−5∣-35 \geq-|-5|−35≥−∣−5∣

Simplify the expression. - 12a−10a+212 \mathrm{a}-10 \mathrm{a}+212a−10a+2

Divide as indicated. Write the answer as a fraction in lowest terms. - 5÷6235 \div 6 \frac{2}{3}5÷632​

Write the expression by using exponents. - (−3)(−3)(−3)(−3)(−3)(-3)(-3)(-3)(-3)(-3)(−3)(−3)(−3)(−3)(−3)

Use the order of operations to simplify the expression. - −5(−8)−(5)42−11−64+5\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}−11−64​+5−5(−8)−(5)42​

Use a number line to answer to the statement. - −6≥15-6 \geq 15−6≥15

Multiply as indicated. Write the answer as a fraction in lowest terms. - 2120⋅3252 \frac{1}{20} \cdot 3 \frac{2}{5}2201​⋅352​

Write as a decimal. - 0.93%0.93 \%0.93%

Write as a decimal. - 27.55%27.55 \%27.55%

List the elements from A that belong to the set. - A={−7,−7,−0.32,0,16,244,8,−2}\mathrm{A}=\left\{-\sqrt{7},-7,-0.32,0, \sqrt{16}, \frac{24}{4}, 8, \sqrt{-2}\right\}A={−7​,−7,−0.32,0,16​,424​,8,−2​} Real numbers

Write the percent as a fraction in lowest terms. - 800%800 \%800%

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - 3(r+k)3(\mathrm{r}+\mathrm{k})3(r+k) ; distributive

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - 2950\frac{29}{50}5029​

Find the appropriate property for the statement. - 2x+7x=(2+7)x2 x+7 x=(2+7) x2x+7x=(2+7)x

Write the mixed number as an improper fraction. - 4564 \frac{5}{6}465​

Use the order of operations to simplify the expression. - 28+12⋅3028+12 \cdot 3028+12⋅30

Use a number line to answer to the statement. - −15>−9-15>-9−15>−9

Use the order of operations to simplify the expression. - 710⋅12+8−111⋅9−5\frac{\frac{7}{10} \cdot 12+8}{-\frac{1}{11} \cdot 9-5}−111​⋅9−5107​⋅12+8​

Evaluate the expression. - −32-3^{2}−32

A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 6 inches wide. When it is trimmed, it is 57165 \frac{7}{16}5167​ inches wide. How much width was trimmed off?

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

Determine whether the inequality is - $-35 \geq-|-5|$

Simplify the expression. - $12 \mathrm{a}-10 \mathrm{a}+2$

Divide as indicated. Write the answer as a fraction in lowest terms. - $5 \div 6 \frac{2}{3}$

Write the expression by using exponents. - $(-3)(-3)(-3)(-3)(-3)$

Use the order of operations to simplify the expression. - $\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}$

Use a number line to answer to the statement. $Use a number line to answer to the statement. - -6 \geq 15$ - $-6 \geq 15$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $2 \frac{1}{20} \cdot 3 \frac{2}{5}$

Write as a decimal. - $0.93 \%$

Write as a decimal. - $27.55 \%$

List the elements from A that belong to the set. - $\mathrm{A}=\left\{-\sqrt{7},-7,-0.32,0, \sqrt{16}, \frac{24}{4}, 8, \sqrt{-2}\right\}$ Real numbers

Write the percent as a fraction in lowest terms. - $800 \%$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $3(\mathrm{r}+\mathrm{k})$ ; distributive

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{29}{50}$

Find the appropriate property for the statement. - $2 x+7 x=(2+7) x$

Write the mixed number as an improper fraction. - $4 \frac{5}{6}$

Use the order of operations to simplify the expression. - $28+12 \cdot 30$

Use a number line to answer to the statement. - $-15>-9$

Use the order of operations to simplify the expression. - $\frac{\frac{7}{10} \cdot 12+8}{-\frac{1}{11} \cdot 9-5}$

Evaluate the expression. - $-3^{2}$

A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 6 inches wide. When it is trimmed, it is $5 \frac{7}{16}$ inches wide. How much width was trimmed off?