Question 1

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
-$13.5-11.51$

Accepted Answer

A)  2.09 
B)  25.01 
C)  -1.99 
D)  1.99 
A)  2.09 
B)  25.01 
C)  -1.99 
D)  1.99

Question 2

Rewrite the statement so the inequality symbol points in the opposite direction.
-$-1<39$

Accepted Answer

A) $39>-1$ B) $-39>1$ C) $39>1$ D) $39<-1$ A) $39>-1$ B) $-39>1$ C) $39>1$ D) $39<-1$

Question 3

Write the set using interval notation.
-$\{x \mid-5 \leq x \leq 4\}$

Accepted Answer

A)  $[-5,4)$ 
B)  $[-5,4]$ 
C)  $(-5,4]$ 
D)  $(-5,4)$ 
A)  $[-5,4)$ 
B)  $[-5,4]$ 
C)  $(-5,4]$ 
D)  $(-5,4)$

Question 4

Simplify the expression.
-$6 \mathrm{a}-2 \mathrm{a}-\mathrm{a}-15$

Accepted Answer

A)  $4 a-15$ 
B)  $4 \mathrm{a}-\mathrm{a}-15$ 
C)  $4 \mathrm{a}-16$ 
D)  $3 a-15$ 
A)  $4 a-15$ 
B)  $4 \mathrm{a}-\mathrm{a}-15$ 
C)  $4 \mathrm{a}-16$ 
D)  $3 a-15$

Question 5

Every integer is an irrational number.

Accepted Answer

A) True 
 B)False

Question 6

Decide whether the statement is .
-The sum of a positive number and a negative number is 0.

Accepted Answer

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

Question 7

Perform the indicated operation. Round to the nearest hundredth, if necessary.
-(1.4)(15.5)

Accepted Answer

A)  21.7 
B)  0.217 
C)  2.17 
D)  217 
A)  21.7 
B)  0.217 
C)  2.17 
D)  217

Question 8

Perform the indicated operations.
-$-1+(3+13)+10$

Accepted Answer

A)  25 
B)  -21 
C)  -1 
D)  5 
A)  25 
B)  -21 
C)  -1 
D)  5

Question 9

Perform the indicated operation.
-$7.145-(-0.20)$

Accepted Answer

A)  1.429 
B)  6.945 
C)  7.445 
D)  7.345 
A)  1.429 
B)  6.945 
C)  7.445 
D)  7.345

Question 10

Find the distance between the given points.
  
-$G$ and $B$

Accepted Answer

A)  0 
B)  4 
C)  1 
D)  6 
A)  0 
B)  4 
C)  1 
D)  6

Question 11

The ocean surface is at $0 \mathrm{ft}$ elevation. A diver is underwater at an elevation of $-144 \mathrm{ft}$ near a rock formation. In this area, the ocean floor has an elevation of $-370 \mathrm{ft}$. The rock formation rises to a peak 233 above the ocean floor. How many feet below the top of the rock formation is the diver?

Accepted Answer

A)  $137 \mathrm{ft}$ 
B)  $226 \mathrm{ft}$ 
C)  $7 \mathrm{ft}$ 
D)  $89 \mathrm{ft}$ 
A)  $137 \mathrm{ft}$ 
B)  $226 \mathrm{ft}$ 
C)  $7 \mathrm{ft}$ 
D)  $89 \mathrm{ft}$

Question 12

Write the fraction in lowest terms.
-$\frac{6}{8}$

Accepted Answer

A)  $\frac{6}{8}$ 
B)  $\frac{4}{3}$ 
C)  $\frac{7}{5}$ 
D)  $\frac{3}{4}$ 
A)  $\frac{6}{8}$ 
B)  $\frac{4}{3}$ 
C)  $\frac{7}{5}$ 
D)  $\frac{3}{4}$

Question 13

Find the value of the expression.
-$\left|\frac{4}{5}\right|$

Accepted Answer

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

Question 14

Perform the indicated operation.
-$18 \div\left(-\frac{63}{4}\right)$

Accepted Answer

A)  $\frac{8}{7}$ 
B)  $\frac{7}{8}$ 
C)  $-\frac{7}{8}$ 
D)  $-\frac{8}{7}$ 
A)  $\frac{8}{7}$ 
B)  $\frac{7}{8}$ 
C)  $-\frac{7}{8}$ 
D)  $-\frac{8}{7}$

Question 15

The graphs show the sales of two companies competing for market share.
  
-During which years were the sales of Company B greater than those of Company A?

Accepted Answer

A)  2005,2006 
B)  $2005,2006,2007,2008$ 
C)  2009,2010 
D)  None 
A)  2005,2006 
B)  $2005,2006,2007,2008$ 
C)  2009,2010 
D)  None

Question 16

Find the appropriate property for the statement.
-$-5+0=-5$

Accepted Answer

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

Question 17

Write the set by listing its elements.
-$\{\mathrm{a} \mid \mathrm{a}$ is an integer greater than -3$\}$

Accepted Answer

A)  $\{-9,-7,-5,-3, \ldots\}$ 
B)  $\{-3,-2,-1,0, \ldots\}$ 
C)  $\{-2,-1,0, \ldots\}$ 
D)  $\{-1,1,3, \ldots\}$ 
A)  $\{-9,-7,-5,-3, \ldots\}$ 
B)  $\{-3,-2,-1,0, \ldots\}$ 
C)  $\{-2,-1,0, \ldots\}$ 
D)  $\{-1,1,3, \ldots\}$

Question 18

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

Accepted Answer

A)  $\frac{4}{3}$ 
B)  $\frac{3}{5}$ 
C)  $\frac{1}{18}$ 
D)  $\frac{1}{3}$ 
A)  $\frac{4}{3}$ 
B)  $\frac{3}{5}$ 
C)  $\frac{1}{18}$ 
D)  $\frac{1}{3}$

Question 19

Add or subtract as indicated.
-$-22+(-7)$

Accepted Answer

A)  -15 
B)  15 
C)  -29 
D)  29 
A)  -15 
B)  15 
C)  -29 
D)  29

Question 20

The NSC (Not So Consistent) Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss).
 $\begin{array}{lr} 
\text {Month }&\text { Profit (Loss) in Dollars} \
\hline \text {January} & -14,526  \
\text {February }& 1874 \
\text {March} & -8977 \
\text {April} &-14,107  \
\text {May} & 14,073 \
\text {June }& 14,632 \
\text {July} &-13,834  \
\text {August }& -13,170\
\text {September} & -4860 \
\text {October }& 6630 \
\text {November }& -3338 \
\text {December} & -974
\end{array}$
-List the months in which a profit was made in order from least profitable month to most profitable month.

Accepted Answer

A)  February, October, May, June 
B)  September, November, February, December 
C)  December, February, November, September 
D)  June, May, October, February 
A)  February, October, May, June 
B)  September, November, February, December 
C)  December, February, November, September 
D)  June, May, October, February

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $13.5-11.51$

Rewrite the statement so the inequality symbol points in the opposite direction. - $-1<39$

Write the set using interval notation. - $\{x \mid-5 \leq x \leq 4\}$

Simplify the expression. - $6 \mathrm{a}-2 \mathrm{a}-\mathrm{a}-15$

Every integer is an irrational number.

Decide whether the statement is . -The sum of a positive number and a negative number is 0.

Perform the indicated operation. Round to the nearest hundredth, if necessary. -(1.4)(15.5)

Perform the indicated operations. - $-1+(3+13)+10$

Perform the indicated operation. - $7.145-(-0.20)$

Find the distance between the given points. - $G$ and $B$

Write the fraction in lowest terms. - $\frac{6}{8}$

Find the value of the expression. - $\left|\frac{4}{5}\right|$

Perform the indicated operation. - $18 \div\left(-\frac{63}{4}\right)$

The graphs show the sales of two companies competing for market share. -During which years were the sales of Company B greater than those of Company A?

Find the appropriate property for the statement. - $-5+0=-5$

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is an integer greater than -3 $\}$

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

Add or subtract as indicated. - $-22+(-7)$

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

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 13.5−11.5113.5-11.5113.5−11.51

Rewrite the statement so the inequality symbol points in the opposite direction. - −1<39-1<39−1<39

Write the set using interval notation. - {x∣−5≤x≤4}\{x \mid-5 \leq x \leq 4\}{x∣−5≤x≤4}

Simplify the expression. - 6a−2a−a−156 \mathrm{a}-2 \mathrm{a}-\mathrm{a}-156a−2a−a−15

Every integer is an irrational number.

Decide whether the statement is . -The sum of a positive number and a negative number is 0.

Perform the indicated operation. Round to the nearest hundredth, if necessary. -(1.4)(15.5)

Perform the indicated operations. - −1+(3+13)+10-1+(3+13)+10−1+(3+13)+10

Perform the indicated operation. - 7.145−(−0.20)7.145-(-0.20)7.145−(−0.20)

Find the distance between the given points. - GGG and BBB

Write the fraction in lowest terms. - 68\frac{6}{8}86​

Find the value of the expression. - ∣45∣\left|\frac{4}{5}\right|​54​​

Perform the indicated operation. - 18÷(−634)18 \div\left(-\frac{63}{4}\right)18÷(−463​)

The graphs show the sales of two companies competing for market share. -During which years were the sales of Company B greater than those of Company A?

Find the appropriate property for the statement. - −5+0=−5-5+0=-5−5+0=−5

Write the set by listing its elements. - {a∣a\{\mathrm{a} \mid \mathrm{a}{a∣a is an integer greater than -3 }\}}

Multiply as indicated. Write the answer as a fraction in lowest terms. - 12⋅23\frac{1}{2} \cdot \frac{2}{3}21​⋅32​

Add or subtract as indicated. - −22+(−7)-22+(-7)−22+(−7)

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

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $13.5-11.51$

Rewrite the statement so the inequality symbol points in the opposite direction. - $-1<39$

Write the set using interval notation. - $\{x \mid-5 \leq x \leq 4\}$

Simplify the expression. - $6 \mathrm{a}-2 \mathrm{a}-\mathrm{a}-15$

Perform the indicated operations. - $-1+(3+13)+10$

Perform the indicated operation. - $7.145-(-0.20)$

Find the distance between the given points. - $G$ and $B$

Write the fraction in lowest terms. - $\frac{6}{8}$

Find the value of the expression. - $\left|\frac{4}{5}\right|$

Perform the indicated operation. - $18 \div\left(-\frac{63}{4}\right)$

Find the appropriate property for the statement. - $-5+0=-5$

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is an integer greater than -3 $\}$

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

Add or subtract as indicated. - $-22+(-7)$