Question 1

Perform the indicated operation.
-$\frac{6}{7}\left(-\frac{5}{18}\right)$

Accepted Answer

A)  $\frac{143}{126}$ 
B)  $-\frac{5}{21}$ 
C)  $\frac{5}{21}$ 
D)  $-\frac{143}{126}$ 
A)  $\frac{143}{126}$ 
B)  $-\frac{5}{21}$ 
C)  $\frac{5}{21}$ 
D)  $-\frac{143}{126}$

Question 2

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
-$87.382+179.068+4.436$

Accepted Answer

A)  310.81 
B)  109.7248 
C)  192.2422 
D)  270.886 
A)  310.81 
B)  109.7248 
C)  192.2422 
D)  270.886

Question 3

Write the fraction in lowest terms.
-$\frac{3}{15}$

Accepted Answer

A)  $\frac{1}{4}$ 
B)  5 
C)  7 
D)  $\frac{1}{5}$ 
A)  $\frac{1}{4}$ 
B)  5 
C)  7 
D)  $\frac{1}{5}$

Question 4

Multiply as indicated. Write the answer as a fraction in lowest terms.
-$4 \cdot 1 \frac{7}{18}$

Accepted Answer

A)  $\frac{97}{18}$ 
B)  $\frac{2}{9}$ 
C)  $\frac{50}{9}$ 
D)  $\frac{29}{19}$ 
A)  $\frac{97}{18}$ 
B)  $\frac{2}{9}$ 
C)  $\frac{50}{9}$ 
D)  $\frac{29}{19}$

Question 5

Some rational numbers are integers.

Accepted Answer

A) True 
 B)False

Question 6

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
-$(5 x+2 y)+4 z$; associative

Accepted Answer

A)  $(5 x+2 y+4 z)$ 
B)  $5 x+2 y+4 z$ 
C)  $5 x+(2 y+4 z)$ 
D)  $(2 y+5 x)+4 z$ 
A)  $(5 x+2 y+4 z)$ 
B)  $5 x+2 y+4 z$ 
C)  $5 x+(2 y+4 z)$ 
D)  $(2 y+5 x)+4 z$

Question 7

Decide whether the statement is .
-The product of two numbers with like signs is positive.

Accepted Answer

A)  Always true 
B)  Sometimes true 
C)  Never true 
A)  Always true 
B)  Sometimes true 
C)  Never true

Question 8

Write the set using set-builder notation.
-$\{-10,-9,-8,-7,-6\}$

Accepted Answer

A)  $\{x \mid x$ is an integer between -10 and -6$\}$ 
B)  $\{x \mid x$ is an integer between -11 and -5$\}$ 
C)  $\{x \mid x$ is a natural number between -11 and -5$\}$ 
D)  $\{x \mid x$ is a number between -10 and -6$\}$ 
A)  $\{x \mid x$ is an integer between -10 and -6$\}$ 
B)  $\{x \mid x$ is an integer between -11 and -5$\}$ 
C)  $\{x \mid x$ is a natural number between -11 and -5$\}$ 
D)  $\{x \mid x$ is a number between -10 and -6$\}$

Question 9

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
-$-8 \cdot 1$; identity

Accepted Answer

A)  1 
B)  8 
C)  -1 
D)  -8 
A)  1 
B)  8 
C)  -1 
D)  -8

Question 10

Write as a percent.
-0.588

Accepted Answer

A)  $0.588 \%$ 
B)  $0.0588 \%$ 
C)  $588 \%$ 
D)  $58.8 \%$ 
A)  $0.588 \%$ 
B)  $0.0588 \%$ 
C)  $588 \%$ 
D)  $58.8 \%$

Question 11

Perform the indicated operation.
-$\frac{0}{13}$

Accepted Answer

A)  0 
B)  13 
C)  -13 
D)  Undefined 
A)  0 
B)  13 
C)  -13 
D)  Undefined

Question 12

Division of zero by a nonzero number is undefined.

Accepted Answer

A) True 
 B)False

Question 13

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.
-$53.8 \div 9.59$

Accepted Answer

A)  5.61 
B)  0.561 
C)  0.178 
D)  56.1 
A)  5.61 
B)  0.561 
C)  0.178 
D)  56.1

Question 14

Which property justifies the statement?
$2(x+6)=2 x+2 \cdot 6$

Accepted Answer

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

Question 15

Give the additive inverse of the number.
-$-(-25)$

Accepted Answer

A)  25 
B)  0 
C)  -25 
D)  $-\frac{1}{25}$ 
A)  25 
B)  0 
C)  -25 
D)  $-\frac{1}{25}$

Question 16

Perform the indicated operation. Round to the nearest hundredth, if necessary.
-$(-3.7)(-9.23)$

Accepted Answer

A)  34.151 
B)  0.34151 
C)  341.51 
D)  3.4151 
A)  34.151 
B)  0.34151 
C)  341.51 
D)  3.4151

Question 17

A student claims that $\{6,7,8\}$ and the set $\{8,7,6\}$ are the same set. Explain why the student is correct or why the student is incorrect.

Accepted Answer

The student is correct because

Question 18

Add as indicated. Write the answer as a fraction in lowest terms.
-$1 \frac{1}{3}+3 \frac{1}{2}$

Accepted Answer

A)  $\frac{29}{6}$ 
B)  $\frac{29}{5}$ 
C)  $\frac{11}{5}$ 
D)  $\frac{11}{6}$ 
A)  $\frac{29}{6}$ 
B)  $\frac{29}{5}$ 
C)  $\frac{11}{5}$ 
D)  $\frac{11}{6}$

Question 19

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

Accepted Answer

A)  $\frac{35}{7}$ 
B)  $\frac{41}{7}$ 
C)  $\frac{41}{6}$ 
D)  $\frac{35}{6}$ 
A)  $\frac{35}{7}$ 
B)  $\frac{41}{7}$ 
C)  $\frac{41}{6}$ 
D)  $\frac{35}{6}$

Question 20

Graph the inequality on a number line.
-$ \{x \mid 3\lt x \leq 6\} $

Accepted Answer

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

Perform the indicated operation. - $\frac{6}{7}\left(-\frac{5}{18}\right)$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $87.382+179.068+4.436$

Write the fraction in lowest terms. - $\frac{3}{15}$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $4 \cdot 1 \frac{7}{18}$

Some rational numbers are integers.

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $(5 x+2 y)+4 z$ ; associative

Decide whether the statement is . -The product of two numbers with like signs is positive.

Write the set using set-builder notation. - $\{-10,-9,-8,-7,-6\}$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $-8 \cdot 1$ ; identity

Write as a percent. -0.588

Perform the indicated operation. - $\frac{0}{13}$

Division of zero by a nonzero number is undefined.

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $53.8 \div 9.59$

Which property justifies the statement? $2(x+6)=2 x+2 \cdot 6$

Give the additive inverse of the number. - $-(-25)$

Perform the indicated operation. Round to the nearest hundredth, if necessary. - $(-3.7)(-9.23)$

A student claims that $\{6,7,8\}$ and the set $\{8,7,6\}$ are the same set. Explain why the student is correct or why the student is incorrect.

Add as indicated. Write the answer as a fraction in lowest terms. - $1 \frac{1}{3}+3 \frac{1}{2}$

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

Graph the inequality on a number line. - $\{x \mid 3\lt x \leq 6\}$ $Graph the inequality on a number line. - \{x \mid 3\lt x \leq 6\}$

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

Perform the indicated operation. - 67(−518)\frac{6}{7}\left(-\frac{5}{18}\right)76​(−185​)

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 87.382+179.068+4.43687.382+179.068+4.43687.382+179.068+4.436

Write the fraction in lowest terms. - 315\frac{3}{15}153​

Multiply as indicated. Write the answer as a fraction in lowest terms. - 4⋅17184 \cdot 1 \frac{7}{18}4⋅1187​

Some rational numbers are integers.

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - (5x+2y)+4z(5 x+2 y)+4 z(5x+2y)+4z ; associative

Decide whether the statement is . -The product of two numbers with like signs is positive.

Write the set using set-builder notation. - {−10,−9,−8,−7,−6}\{-10,-9,-8,-7,-6\}{−10,−9,−8,−7,−6}

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - −8⋅1-8 \cdot 1−8⋅1 ; identity

Write as a percent. -0.588

Perform the indicated operation. - 013\frac{0}{13}130​

Division of zero by a nonzero number is undefined.

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - 53.8÷9.5953.8 \div 9.5953.8÷9.59

Which property justifies the statement? 2(x+6)=2x+2⋅62(x+6)=2 x+2 \cdot 62(x+6)=2x+2⋅6

Give the additive inverse of the number. - −(−25)-(-25)−(−25)

Perform the indicated operation. Round to the nearest hundredth, if necessary. - (−3.7)(−9.23)(-3.7)(-9.23)(−3.7)(−9.23)

A student claims that {6,7,8}\{6,7,8\}{6,7,8} and the set {8,7,6}\{8,7,6\}{8,7,6} are the same set. Explain why the student is correct or why the student is incorrect.

Add as indicated. Write the answer as a fraction in lowest terms. - 113+3121 \frac{1}{3}+3 \frac{1}{2}131​+321​

Write the mixed number as an improper fraction. - 5675 \frac{6}{7}576​

Graph the inequality on a number line. - {x∣3<x≤6} \{x \mid 3\lt x \leq 6\} {x∣3<x≤6}

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

Perform the indicated operation. - $\frac{6}{7}\left(-\frac{5}{18}\right)$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $87.382+179.068+4.436$

Write the fraction in lowest terms. - $\frac{3}{15}$

Multiply as indicated. Write the answer as a fraction in lowest terms. - $4 \cdot 1 \frac{7}{18}$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $(5 x+2 y)+4 z$ ; associative

Write the set using set-builder notation. - $\{-10,-9,-8,-7,-6\}$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $-8 \cdot 1$ ; identity

Perform the indicated operation. - $\frac{0}{13}$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $53.8 \div 9.59$

Which property justifies the statement? $2(x+6)=2 x+2 \cdot 6$

Give the additive inverse of the number. - $-(-25)$

Perform the indicated operation. Round to the nearest hundredth, if necessary. - $(-3.7)(-9.23)$

A student claims that $\{6,7,8\}$ and the set $\{8,7,6\}$ are the same set. Explain why the student is correct or why the student is incorrect.

Add as indicated. Write the answer as a fraction in lowest terms. - $1 \frac{1}{3}+3 \frac{1}{2}$

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

Graph the inequality on a number line. - $\{x \mid 3\lt x \leq 6\}$ $Graph the inequality on a number line. - \{x \mid 3\lt x \leq 6\}$