Question 1

Simplify the expression.
-$5 p-6(3 p-3)+4(5 p-3)+5(2 p-2)$

Accepted Answer

A)  $45 p-4$ 
B)  $45 p-8$ 
C)  $17 p-4$ 
D)  $17 p-8$ 
A)  $45 p-4$ 
B)  $45 p-8$ 
C)  $17 p-4$ 
D)  $17 p-8$

Question 2

Decide whether the statement is .
-The difference between two positive numbers is negative.

Accepted Answer

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

Question 3

Add as indicated. Write the answer as a fraction in lowest terms.
-$\frac{3}{7}+\frac{3}{7}$

Accepted Answer

A)  $\frac{6}{7}$ 
B)  0 
C)  $\frac{3}{7}$ 
D)  $\frac{9}{7}$ 
A)  $\frac{6}{7}$ 
B)  0 
C)  $\frac{3}{7}$ 
D)  $\frac{9}{7}$

Question 4

Change the fraction to a decimal. Round as indicated.
-$\frac{6}{7}$ hundredths

Accepted Answer

A)  0.43 
B)  0.17 
C)  4.30 
D)  0.86 
A)  0.43 
B)  0.17 
C)  4.30 
D)  0.86

Question 5

Decide whether the statement is .
-The sum of two positive numbers is negative.

Accepted Answer

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

Question 6

Graph $\left\{-1,0.11, \frac{4}{3}, 5, \frac{33}{5}\right\}$ on a number line.

Accepted Answer

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

Question 7

Decide whether the statement is .
-The product of two numbers with different signs is negative.

Accepted Answer

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

Question 8

Use the order of operations to simplify the expression.
-$-19+(5 \cdot 2+40) \div 5$

Accepted Answer

A)  9 
B)  5 
C)  -9 
D)  -1 
A)  9 
B)  5 
C)  -9 
D)  -1

Question 9

Rewrite the statement so the inequality symbol points in the opposite direction.
-$38 \geq 37$

Accepted Answer

A)  $37 \leq 38$ 
B)  $38 \leq 37$ 
C)  $38>37$ 
D)  $37 \geq 38$ 
A)  $37 \leq 38$ 
B)  $38 \leq 37$ 
C)  $38>37$ 
D)  $37 \geq 38$

Question 10

Find the appropriate property for the statement.
-$8+(-8)=0$

Accepted Answer

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

Question 11

Evaluate the expression.
-$3^{5}$

Accepted Answer

A)  15 
B)  -243 
C)  243 
D)  -15 
A)  15 
B)  -243 
C)  243 
D)  -15

Question 12

Use the order of operations to simplify the expression.
-$\frac{5(2+1)-7(1+1)}{5(4-2)-2^{3}}$

Accepted Answer

A)  $\frac{1}{8}$ 
B)  $\frac{1}{6}$ 
C)  4 
D)  $\frac{1}{2}$ 
A)  $\frac{1}{8}$ 
B)  $\frac{1}{6}$ 
C)  4 
D)  $\frac{1}{2}$

Question 13

Some rational numbers are irrational.

Accepted Answer

A) True 
 B)False

Question 14

Use the order of operations to simplify the expression.
-$\frac{(-3) \cdot(4+3)+(-3) \cdot 4}{(-3) \cdot(6-1)}$

Accepted Answer

A)  2 
B)  $\frac{11}{5}$ 
C)  $\frac{16}{5}$ 
D)  143 
A)  2 
B)  $\frac{11}{5}$ 
C)  $\frac{16}{5}$ 
D)  143

Question 15

Add or subtract as indicated.
-$10-(-4)$

Accepted Answer

A)  -14 
B)  14 
C)  -6 
D)  6 
A)  -14 
B)  14 
C)  -6 
D)  6

Question 16

Add or subtract as indicated.
-4 - (-26)

Accepted Answer

A)  -22 
B)  22 
C)  30 
D)  -30 
A)  -22 
B)  22 
C)  30 
D)  -30

Question 17

Use inequality symbols to rewrite the statement.
-$x$ is between -17 and 17 , excluding -17 and including 17 .

Accepted Answer

A)  $-17\lt x<17$ 
B)  $-17\lt x \leq 17$ 
C)  $-17 \leq x<17$ 
D)  $-17 \leq x \leq 17$ 
A)  $-17\lt x<17$ 
B)  $-17\lt x \leq 17$ 
C)  $-17 \leq x<17$ 
D)  $-17 \leq x \leq 17$

Question 18

Use a number line to answer to the statement.
  
-$-1 \leq 8$

Accepted Answer

A) True 
 B)False

Question 19

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
-$\frac{70}{100}$

Accepted Answer

A)  $70 \%$ 
B)  $7 \%$ 
C)  $700 \%$ 
D)  $0.7 \%$ 
A)  $70 \%$ 
B)  $7 \%$ 
C)  $700 \%$ 
D)  $0.7 \%$

Question 20

Simplify the expression.
-$-(-8 m)-(-3 m)$

Accepted Answer

A)  $-11 \mathrm{~m}$ 
B)  $-5 \mathrm{~m}$ 
C)  $11 \mathrm{~m}$ 
D)  $5 \mathrm{~m}$ 
A)  $-11 \mathrm{~m}$ 
B)  $-5 \mathrm{~m}$ 
C)  $11 \mathrm{~m}$ 
D)  $5 \mathrm{~m}$

Simplify the expression. - $5 p-6(3 p-3)+4(5 p-3)+5(2 p-2)$

Decide whether the statement is . -The difference between two positive numbers is negative.

Add as indicated. Write the answer as a fraction in lowest terms. - $\frac{3}{7}+\frac{3}{7}$

Change the fraction to a decimal. Round as indicated. - $\frac{6}{7}$ hundredths

Decide whether the statement is . -The sum of two positive numbers is negative.

Graph $\left\{-1,0.11, \frac{4}{3}, 5, \frac{33}{5}\right\}$ on a number line. $Graph \left\{-1,0.11, \frac{4}{3}, 5, \frac{33}{5}\right\} on a number line.$

Decide whether the statement is . -The product of two numbers with different signs is negative.

Use the order of operations to simplify the expression. - $-19+(5 \cdot 2+40) \div 5$

Rewrite the statement so the inequality symbol points in the opposite direction. - $38 \geq 37$

Find the appropriate property for the statement. - $8+(-8)=0$

Evaluate the expression. - $3^{5}$

Use the order of operations to simplify the expression. - $\frac{5(2+1)-7(1+1)}{5(4-2)-2^{3}}$

Some rational numbers are irrational.

Use the order of operations to simplify the expression. - $\frac{(-3) \cdot(4+3)+(-3) \cdot 4}{(-3) \cdot(6-1)}$

Add or subtract as indicated. - $10-(-4)$

Add or subtract as indicated. -4 - (-26)

Use inequality symbols to rewrite the statement. - $x$ is between -17 and 17 , excluding -17 and including 17 .

Use a number line to answer to the statement. $Use a number line to answer to the statement. - -1 \leq 8$ - $-1 \leq 8$

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{70}{100}$

Simplify the expression. - $-(-8 m)-(-3 m)$

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

Simplify the expression. - 5p−6(3p−3)+4(5p−3)+5(2p−2)5 p-6(3 p-3)+4(5 p-3)+5(2 p-2)5p−6(3p−3)+4(5p−3)+5(2p−2)

Decide whether the statement is . -The difference between two positive numbers is negative.

Add as indicated. Write the answer as a fraction in lowest terms. - 37+37\frac{3}{7}+\frac{3}{7}73​+73​

Change the fraction to a decimal. Round as indicated. - 67\frac{6}{7}76​ hundredths

Decide whether the statement is . -The sum of two positive numbers is negative.

Graph {−1,0.11,43,5,335}\left\{-1,0.11, \frac{4}{3}, 5, \frac{33}{5}\right\}{−1,0.11,34​,5,533​} on a number line.

Decide whether the statement is . -The product of two numbers with different signs is negative.

Use the order of operations to simplify the expression. - −19+(5⋅2+40)÷5-19+(5 \cdot 2+40) \div 5−19+(5⋅2+40)÷5

Rewrite the statement so the inequality symbol points in the opposite direction. - 38≥3738 \geq 3738≥37

Find the appropriate property for the statement. - 8+(−8)=08+(-8)=08+(−8)=0

Evaluate the expression. - 353^{5}35

Use the order of operations to simplify the expression. - 5(2+1)−7(1+1)5(4−2)−23\frac{5(2+1)-7(1+1)}{5(4-2)-2^{3}}5(4−2)−235(2+1)−7(1+1)​

Some rational numbers are irrational.

Use the order of operations to simplify the expression. - (−3)⋅(4+3)+(−3)⋅4(−3)⋅(6−1)\frac{(-3) \cdot(4+3)+(-3) \cdot 4}{(-3) \cdot(6-1)}(−3)⋅(6−1)(−3)⋅(4+3)+(−3)⋅4​

Add or subtract as indicated. - 10−(−4)10-(-4)10−(−4)

Add or subtract as indicated. -4 - (-26)

Use inequality symbols to rewrite the statement. - xxx is between -17 and 17 , excluding -17 and including 17 .

Use a number line to answer to the statement. - −1≤8-1 \leq 8−1≤8

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - 70100\frac{70}{100}10070​

Simplify the expression. - −(−8m)−(−3m)-(-8 m)-(-3 m)−(−8m)−(−3m)

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

Simplify the expression. - $5 p-6(3 p-3)+4(5 p-3)+5(2 p-2)$

Add as indicated. Write the answer as a fraction in lowest terms. - $\frac{3}{7}+\frac{3}{7}$

Change the fraction to a decimal. Round as indicated. - $\frac{6}{7}$ hundredths

Graph $\left\{-1,0.11, \frac{4}{3}, 5, \frac{33}{5}\right\}$ on a number line. $Graph \left\{-1,0.11, \frac{4}{3}, 5, \frac{33}{5}\right\} on a number line.$

Use the order of operations to simplify the expression. - $-19+(5 \cdot 2+40) \div 5$

Rewrite the statement so the inequality symbol points in the opposite direction. - $38 \geq 37$

Find the appropriate property for the statement. - $8+(-8)=0$

Evaluate the expression. - $3^{5}$

Use the order of operations to simplify the expression. - $\frac{5(2+1)-7(1+1)}{5(4-2)-2^{3}}$

Use the order of operations to simplify the expression. - $\frac{(-3) \cdot(4+3)+(-3) \cdot 4}{(-3) \cdot(6-1)}$

Add or subtract as indicated. - $10-(-4)$

Use inequality symbols to rewrite the statement. - $x$ is between -17 and 17 , excluding -17 and including 17 .

Use a number line to answer to the statement. $Use a number line to answer to the statement. - -1 \leq 8$ - $-1 \leq 8$

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{70}{100}$

Simplify the expression. - $-(-8 m)-(-3 m)$