Question 1

Divide.
-$\frac{4}{3} \div\left(-\frac{1}{3}\right)$

Accepted Answer

A)  $-\frac{4}{9}$ 
B)  $-\frac{1}{4}$ 
C)  $-\frac{9}{4}$ 
D)  -4 
A)  $-\frac{4}{9}$ 
B)  $-\frac{1}{4}$ 
C)  $-\frac{9}{4}$ 
D)  -4

Question 2

Simplify.
-$\frac{8-5^{2}}{6^{2}+7^{2}}$

Accepted Answer

A)  $-\frac{17}{13}$ 
B)  $\frac{3}{13}$ 
C)  $-\frac{1}{5}$ 
D)  $\frac{9}{85}$ 
A)  $-\frac{17}{13}$ 
B)  $\frac{3}{13}$ 
C)  $-\frac{1}{5}$ 
D)  $\frac{9}{85}$

Question 3

Add. Do not use a number line except as a check.
-$-\frac{2}{5}+\frac{1}{5}$

Accepted Answer

A)  $\frac{3}{5}$ 
B)  $-\frac{3}{5}$ 
C)  $-\frac{1}{5}$ 
D)  $\frac{1}{5}$ 
A)  $\frac{3}{5}$ 
B)  $-\frac{3}{5}$ 
C)  $-\frac{1}{5}$ 
D)  $\frac{1}{5}$

Question 4

Divide.
-$-\frac{3}{2} \div\left(-\frac{2}{3}\right)$

Accepted Answer

A)  1 
B)  $-\frac{9}{4}$ 
C)  -1 
D)  $\frac{9}{4}$ 
A)  1 
B)  $-\frac{9}{4}$ 
C)  -1 
D)  $\frac{9}{4}$

Question 5

Divide.
-$\frac{-3.2}{0.8}$

Accepted Answer

A)  -24 
B)  -2.4 
C)  $-\frac{1}{4}$ 
D)  -4 
A)  -24 
B)  -2.4 
C)  $-\frac{1}{4}$ 
D)  -4

Question 6

Simplify.
-$\frac{15 a b}{21 b}$

Accepted Answer

A)  $\frac{15 a}{21}$ 
B)  $\frac{5}{7} \mathrm{a}$ 
C)  $\frac{3}{7} \mathrm{a}$ 
D)  $-\frac{7}{5} b$ 
A)  $\frac{15 a}{21}$ 
B)  $\frac{5}{7} \mathrm{a}$ 
C)  $\frac{3}{7} \mathrm{a}$ 
D)  $-\frac{7}{5} b$

Question 7

Write an inequality with the same meaning
-$y>3$

Accepted Answer

A) $3>y$ B) C) $y \geq 3$ D) $y<3$ A) $3>y$ B) C) $y \geq 3$ D) $y<3$

Question 8

Rewrite the division as a multiplication.
-$9 \div 25$

Accepted Answer

A)  $25 \cdot \frac{1}{9}$ 
B)  $-9 \cdot 25$ 
C)  $9 \cdot \frac{1}{25}$ 
D)  $9 \cdot-25$ 
A)  $25 \cdot \frac{1}{9}$ 
B)  $-9 \cdot 25$ 
C)  $9 \cdot \frac{1}{25}$ 
D)  $9 \cdot-25$

Question 9

Divide, if possible.
-$-147 \div 7$

Accepted Answer

A)  -21 
B)  $-\frac{1}{21}$ 
C)  -31 
D)  21 
A)  -21 
B)  $-\frac{1}{21}$ 
C)  -31 
D)  21

Question 10

Multiply.
-$3(5+\mathrm{m})$

Accepted Answer

A)  $15+3 m$ 
B)  $15 \mathrm{~m}$ 
C)  $15+m$ 
D)  $15+5 m$ 
A)  $15+3 m$ 
B)  $15 \mathrm{~m}$ 
C)  $15+m$ 
D)  $15+5 m$

Question 11

Add. Do not use a number line except as a check.
-$-1.7+6.8$

Accepted Answer

A)  -5.1 
B)  8.5 
C)  -8.5 
D)  5.1 
A)  -5.1 
B)  8.5 
C)  -8.5 
D)  5.1

Question 12

Subtract.
-$0-(-10)$

Accepted Answer

A)  -10 
B)  0 
C)  10 
D)  -9 
A)  -10 
B)  0 
C)  10 
D)  -9

Question 13

Add. Do not use a number line except as a check.
-$-\frac{1}{8}+\left(-\frac{5}{8}\right)$

Accepted Answer

A)  $-\frac{3}{4}$ 
B)  $-\frac{1}{2}$ 
C)  $\frac{1}{2}$ 
D)  $\frac{3}{4}$ 
A)  $-\frac{3}{4}$ 
B)  $-\frac{1}{2}$ 
C)  $\frac{1}{2}$ 
D)  $\frac{3}{4}$

Question 14

Find an equivalent expression with the given denominator.
-$\frac{4}{5 y}=\frac{?}{5 y^{2}}$

Accepted Answer

A)  $\frac{y}{5 y^{2}}$ 
B)  $\frac{20 y}{5 y^{2}}$ 
C)  $\frac{4 y}{5 y^{2}}$ 
D)  $\frac{4 y^{2}}{5 y^{2}}$ 
A)  $\frac{y}{5 y^{2}}$ 
B)  $\frac{20 y}{5 y^{2}}$ 
C)  $\frac{4 y}{5 y^{2}}$ 
D)  $\frac{4 y^{2}}{5 y^{2}}$

Question 15

Find an equivalent expression without parentheses.
-$-(-5+7 y)$

Accepted Answer

A)  $5+7 y$ 
B)  $35 y$ 
C)  $5-7 y$ 
D)  $-5+7 y$ 
A)  $5+7 y$ 
B)  $35 y$ 
C)  $5-7 y$ 
D)  $-5+7 y$

Question 16

Solve the problem.
-Clearwater Community College had 1238 students enrolled in 1998 and 984 students enrolled in 1999. Find the percent of decrease in the number of students from 1998 to 1999 . Round to the nearest tenth of a percent.

Accepted Answer

A)  $-20.5 \%$ 
B)  $-16.4 \%$ 
C)  $-25.8 \%$ 
D)  $-18.5 \%$ 
A)  $-20.5 \%$ 
B)  $-16.4 \%$ 
C)  $-25.8 \%$ 
D)  $-18.5 \%$

Question 17

Substitute to find the value of the expression.
-A plane flies at 582 miles per hour. The time, in hours, for the plane to travel a distance of $d$ miles is $\frac{\mathrm{d}}{582}$. How long will it take for the plane to travel 5820 miles?

Accepted Answer

A)  $10 \mathrm{hr}$ 
B)  $0.10 \mathrm{hr}$ 
C)  $13 \mathrm{hr}$ 
D)  $3,387,240 \mathrm{hr}$ 
A)  $10 \mathrm{hr}$ 
B)  $0.10 \mathrm{hr}$ 
C)  $13 \mathrm{hr}$ 
D)  $3,387,240 \mathrm{hr}$

Question 18

Solve the problem.
-The temperature at the South pole was $-2^{\circ}$ at $8 \mathrm{am}$. At $3 \mathrm{pm}$, it was $8^{\circ}$. By how many degrees did the temperature rise?

Accepted Answer

A)  $-6^{\circ}$ 
B)  $6^{\circ}$ 
C)  $-10^{\circ}$ 
D)  $10^{\circ}$ 
A)  $-6^{\circ}$ 
B)  $6^{\circ}$ 
C)  $-10^{\circ}$ 
D)  $10^{\circ}$

Question 19

Multiply.
-$-0.1 \cdot(-0.5)$

Accepted Answer

A)  0.05 
B)  -0.4 
C)  -0.6 
D)  -0.5 
A)  0.05 
B)  -0.4 
C)  -0.6 
D)  -0.5

Question 20

Evaluate $-x$ for the given value of $x$.
-$x=0.506$

Accepted Answer

A)  3.1416 
B)  0.506 
C)  -0.506 
D)  -3.1416 
A)  3.1416 
B)  0.506 
C)  -0.506 
D)  -3.1416

Divide. - $\frac{4}{3} \div\left(-\frac{1}{3}\right)$

Simplify. - $\frac{8-5^{2}}{6^{2}+7^{2}}$

Add. Do not use a number line except as a check. - $-\frac{2}{5}+\frac{1}{5}$

Divide. - $-\frac{3}{2} \div\left(-\frac{2}{3}\right)$

Divide. - $\frac{-3.2}{0.8}$

Simplify. - $\frac{15 a b}{21 b}$

Write an inequality with the same meaning - $y>3$

Rewrite the division as a multiplication. - $9 \div 25$

Divide, if possible. - $-147 \div 7$

Multiply. - $3(5+\mathrm{m})$

Add. Do not use a number line except as a check. - $-1.7+6.8$

Subtract. - $0-(-10)$

Add. Do not use a number line except as a check. - $-\frac{1}{8}+\left(-\frac{5}{8}\right)$

Find an equivalent expression with the given denominator. - $\frac{4}{5 y}=\frac{?}{5 y^{2}}$

Find an equivalent expression without parentheses. - $-(-5+7 y)$

Solve the problem. -Clearwater Community College had 1238 students enrolled in 1998 and 984 students enrolled in 1999. Find the percent of decrease in the number of students from 1998 to 1999 . Round to the nearest tenth of a percent.

Substitute to find the value of the expression. -A plane flies at 582 miles per hour. The time, in hours, for the plane to travel a distance of $d$ miles is $\frac{\mathrm{d}}{582}$ . How long will it take for the plane to travel 5820 miles?

Solve the problem. -The temperature at the South pole was $-2^{\circ}$ at $8 \mathrm{am}$ . At $3 \mathrm{pm}$ , it was $8^{\circ}$ . By how many degrees did the temperature rise?

Multiply. - $-0.1 \cdot(-0.5)$

Evaluate $-x$ for the given value of $x$ . - $x=0.506$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 7: Introduction to Real Numbers and Algebraic Expressions

Divide. - 43÷(−13)\frac{4}{3} \div\left(-\frac{1}{3}\right)34​÷(−31​)

Simplify. - 8−5262+72\frac{8-5^{2}}{6^{2}+7^{2}}62+728−52​

Add. Do not use a number line except as a check. - −25+15-\frac{2}{5}+\frac{1}{5}−52​+51​

Divide. - −32÷(−23)-\frac{3}{2} \div\left(-\frac{2}{3}\right)−23​÷(−32​)

Divide. - −3.20.8\frac{-3.2}{0.8}0.8−3.2​

Simplify. - 15ab21b\frac{15 a b}{21 b}21b15ab​

Write an inequality with the same meaning - y>3y>3y>3

Rewrite the division as a multiplication. - 9÷259 \div 259÷25

Divide, if possible. - −147÷7-147 \div 7−147÷7

Multiply. - 3(5+m)3(5+\mathrm{m})3(5+m)

Add. Do not use a number line except as a check. - −1.7+6.8-1.7+6.8−1.7+6.8

Subtract. - 0−(−10)0-(-10)0−(−10)

Add. Do not use a number line except as a check. - −18+(−58)-\frac{1}{8}+\left(-\frac{5}{8}\right)−81​+(−85​)

Find an equivalent expression with the given denominator. - 45y=?5y2\frac{4}{5 y}=\frac{?}{5 y^{2}}5y4​=5y2?​

Find an equivalent expression without parentheses. - −(−5+7y)-(-5+7 y)−(−5+7y)