Question 1

Company A showed a profit of $\$ 70,680$ last year, while Company B had a loss of $\$ 75,450$. Find the difference between these amounts.

Accepted Answer

A)  $-\$ 4770$ 
B)  $-\$ 146,130$ 
C)  $\$ 4770$ 
D)  $\$ 146,130$ 
A)  $-\$ 4770$ 
B)  $-\$ 146,130$ 
C)  $\$ 4770$ 
D)  $\$ 146,130$

Question 2

Find the value of the expression.
-|-14| - |18|

Accepted Answer

A)  -32 
B)  32 
C)  4 
D)  -4 
A)  -32 
B)  32 
C)  4 
D)  -4

Question 3

Use the order of operations to simplify the expression.
-$(-10)(\sqrt{4})-(-10)(-9)$

Accepted Answer

A)  90 
B)  -110 
C)  70 
D)  -20 
A)  90 
B)  -110 
C)  70 
D)  -20

Question 4

Write the decimal as a fraction. Do not write in lowest terms.
-0.102

Accepted Answer

A)  $\frac{51}{1000}$ 
B)  $\frac{204}{1000}$ 
C)  $\frac{1}{102}$ 
D)  $\frac{102}{1000}$ 
A)  $\frac{51}{1000}$ 
B)  $\frac{204}{1000}$ 
C)  $\frac{1}{102}$ 
D)  $\frac{102}{1000}$

Question 5

Perform the indicated operations.
-$-9-(-1-14)-13$

Accepted Answer

A)  -9 
B)  19 
C)  -35 
D)  -7 
A)  -9 
B)  19 
C)  -35 
D)  -7

Question 6

Write the improper fraction as a mixed number.
-$\frac{29}{6}$

Accepted Answer

A)  $4 \frac{5}{7}$ 
B)  $5 \frac{5}{6}$ 
C)  $4 \frac{5}{6}$ 
D)  $3 \frac{5}{6}$ 
A)  $4 \frac{5}{7}$ 
B)  $5 \frac{5}{6}$ 
C)  $4 \frac{5}{6}$ 
D)  $3 \frac{5}{6}$

Question 7

Add or subtract as indicated.
-$|20+18|$

Accepted Answer

A)  -38 
B)  38 
C)  2 
D)  -2 
A)  -38 
B)  38 
C)  2 
D)  -2

Question 8

Divide as indicated. Write the answer as a fraction in lowest terms.
-$\frac{3}{10} \div \frac{5}{7}$

Accepted Answer

A)  $\frac{21}{50}$ 
B)  $\frac{8}{17}$ 
C)  $\frac{3}{50}$ 
D)  $\frac{3}{14}$ 
A)  $\frac{21}{50}$ 
B)  $\frac{8}{17}$ 
C)  $\frac{3}{50}$ 
D)  $\frac{3}{14}$

Question 9

In the exponential $-156,-15$ is the base.

Accepted Answer

A) True 
 B)False

Question 10

Write the set using interval notation.
- {x $\mid$-1$\lt$ x$ \leq$ 8}

Accepted Answer

A)  $[-1,8)$ 
B)  $(-1,8)$ 
C)  $(-1,8]$ 
D)  $[-1,8]$ 
A)  $[-1,8)$ 
B)  $(-1,8)$ 
C)  $(-1,8]$ 
D)  $[-1,8]$

Question 11

An approximation of the amount in billions of dollars that Americans have spent on their pets from 1995 to 2006 can be obtained by substituting a given year for $x$ in the expression $1.761 x-3380$. Approximate the amount spent in 1992. Round the answer to the nearest tenth.

Accepted Answer

A)  $\$ 6882.9$ billion 
B)  $\$ 128.9$ billion 
C)  $\$ 127.9$ billion 
D)  $\$ 3635.8$ billion 
A)  $\$ 6882.9$ billion 
B)  $\$ 128.9$ billion 
C)  $\$ 127.9$ billion 
D)  $\$ 3635.8$ billion

Question 12

Simplify the expression.
-$-4(12 z+2 m)$

Accepted Answer

A)  $48 \mathrm{z}-2 \mathrm{~m}$ 
B)  $-48 z+8 m$ 
C)  $48 z-8 m$ 
D)  $-48 z-8 m$ 
A)  $48 \mathrm{z}-2 \mathrm{~m}$ 
B)  $-48 z+8 m$ 
C)  $48 z-8 m$ 
D)  $-48 z-8 m$

Question 13

Suppose that the blood alcohol concentration (BAC) of a person who has been drinking is given by the following:
Total oz consumed $\times \%$ alcohol $\times 0.075 \div$ body weight in $\mathrm{lb}-\mathrm{hr}$ of drinking $\times 0.015$. Find the BAC for a $200-\mathrm{lb}$ man who, in $3 \mathrm{hr}$, has drunk 8 beers. (Assume that each beer is $12 \mathrm{oz}$ with a $4.9 \%$ alcohol content.) Round your answer to the nearest thousandth.

Accepted Answer

A)  0.126 
B)  0.131 
C)  0.161 
D)  0.176 
A)  0.126 
B)  0.131 
C)  0.161 
D)  0.176

Question 14

Evaluate the expression for $a=-5, b=16$ and $c=7$.
-$4(7 \mathrm{c}-2 \mathrm{~b})$

Accepted Answer

A)  204 
B)  182 
C)  68 
D)  324 
A)  204 
B)  182 
C)  68 
D)  324

Question 15

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.
-$15.07 \times 0.008$

Accepted Answer

A)  1.22056 
B)  0.22056 
C)  0.12056 
D)  0.23056 
A)  1.22056 
B)  0.22056 
C)  0.12056 
D)  0.23056

Question 16

Divide as indicated. Write the answer as a fraction in lowest terms.
-$2 \frac{5}{13} \div 7$

Accepted Answer

A)  $\frac{13}{4}$ 
B)  $\frac{31}{273}$ 
C)  $\frac{31}{91}$ 
D)  $\frac{217}{13}$ 
A)  $\frac{13}{4}$ 
B)  $\frac{31}{273}$ 
C)  $\frac{31}{91}$ 
D)  $\frac{217}{13}$

Question 17

Evaluate the expression.
-$\left(\frac{7}{3}\right)^{2}$

Accepted Answer

A)  $\frac{49}{3}$ 
B)  $\frac{7}{3}$ 
C)  $\frac{343}{27}$ 
D)  $\frac{49}{9}$ 
A)  $\frac{49}{3}$ 
B)  $\frac{7}{3}$ 
C)  $\frac{343}{27}$ 
D)  $\frac{49}{9}$

Question 18

Add or subtract as indicated.
-$-11+25$

Accepted Answer

A)  -36 
B)  36 
C)  -14 
D)  14 
A)  -36 
B)  36 
C)  -14 
D)  14

Question 19

Determine whether the inequality is 
-$|-4| \geq-|4|$

Accepted Answer

A) True 
 B)False

Question 20

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.
-$145.1 \times 0.42$

Accepted Answer

A)  60.942 
B)  61.052 
C)  61.042 
D)  61.053 
A)  60.942 
B)  61.052 
C)  61.042 
D)  61.053

Company A showed a profit of $\$ 70,680$ last year, while Company B had a loss of $\$ 75,450$ . Find the difference between these amounts.

Find the value of the expression. -|-14| - |18|

Use the order of operations to simplify the expression. - $(-10)(\sqrt{4})-(-10)(-9)$

Write the decimal as a fraction. Do not write in lowest terms. -0.102

Perform the indicated operations. - $-9-(-1-14)-13$

Write the improper fraction as a mixed number. - $\frac{29}{6}$

Add or subtract as indicated. - $|20+18|$

Divide as indicated. Write the answer as a fraction in lowest terms. - $\frac{3}{10} \div \frac{5}{7}$

In the exponential $-156,-15$ is the base.

Write the set using interval notation. - {x $\mid$ -1 $\lt$ x $\leq$ 8}

An approximation of the amount in billions of dollars that Americans have spent on their pets from 1995 to 2006 can be obtained by substituting a given year for $x$ in the expression $1.761 x-3380$ . Approximate the amount spent in 1992. Round the answer to the nearest tenth.

Simplify the expression. - $-4(12 z+2 m)$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $4(7 \mathrm{c}-2 \mathrm{~b})$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $15.07 \times 0.008$

Divide as indicated. Write the answer as a fraction in lowest terms. - $2 \frac{5}{13} \div 7$

Evaluate the expression. - $\left(\frac{7}{3}\right)^{2}$

Add or subtract as indicated. - $-11+25$

Determine whether the inequality is - $|-4| \geq-|4|$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $145.1 \times 0.42$

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

Company A showed a profit of $70,680\$ 70,680$70,680 last year, while Company B had a loss of $75,450\$ 75,450$75,450 . Find the difference between these amounts.

Find the value of the expression. -|-14| - |18|

Use the order of operations to simplify the expression. - (−10)(4)−(−10)(−9)(-10)(\sqrt{4})-(-10)(-9)(−10)(4​)−(−10)(−9)

Write the decimal as a fraction. Do not write in lowest terms. -0.102

Perform the indicated operations. - −9−(−1−14)−13-9-(-1-14)-13−9−(−1−14)−13

Write the improper fraction as a mixed number. - 296\frac{29}{6}629​

Add or subtract as indicated. - ∣20+18∣|20+18|∣20+18∣

Divide as indicated. Write the answer as a fraction in lowest terms. - 310÷57\frac{3}{10} \div \frac{5}{7}103​÷75​

In the exponential −156,−15-156,-15−156,−15 is the base.

Write the set using interval notation. - {x ∣\mid∣ -1 <\lt< x ≤ \leq≤ 8}

Simplify the expression. - −4(12z+2m)-4(12 z+2 m)−4(12z+2m)

Evaluate the expression for a=−5,b=16a=-5, b=16a=−5,b=16 and c=7c=7c=7 . - 4(7c−2 b)4(7 \mathrm{c}-2 \mathrm{~b})4(7c−2 b)

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - 15.07×0.00815.07 \times 0.00815.07×0.008

Divide as indicated. Write the answer as a fraction in lowest terms. - 2513÷72 \frac{5}{13} \div 72135​÷7

Evaluate the expression. - (73)2\left(\frac{7}{3}\right)^{2}(37​)2

Add or subtract as indicated. - −11+25-11+25−11+25

Determine whether the inequality is - ∣−4∣≥−∣4∣|-4| \geq-|4|∣−4∣≥−∣4∣

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - 145.1×0.42145.1 \times 0.42145.1×0.42

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

Company A showed a profit of $\$ 70,680$ last year, while Company B had a loss of $\$ 75,450$ . Find the difference between these amounts.

Use the order of operations to simplify the expression. - $(-10)(\sqrt{4})-(-10)(-9)$

Perform the indicated operations. - $-9-(-1-14)-13$

Write the improper fraction as a mixed number. - $\frac{29}{6}$

Add or subtract as indicated. - $|20+18|$

Divide as indicated. Write the answer as a fraction in lowest terms. - $\frac{3}{10} \div \frac{5}{7}$

In the exponential $-156,-15$ is the base.

Write the set using interval notation. - {x $\mid$ -1 $\lt$ x $\leq$ 8}

Simplify the expression. - $-4(12 z+2 m)$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $4(7 \mathrm{c}-2 \mathrm{~b})$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $15.07 \times 0.008$

Divide as indicated. Write the answer as a fraction in lowest terms. - $2 \frac{5}{13} \div 7$

Evaluate the expression. - $\left(\frac{7}{3}\right)^{2}$

Add or subtract as indicated. - $-11+25$

Determine whether the inequality is - $|-4| \geq-|4|$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $145.1 \times 0.42$