Question 1

Write the fraction in lowest terms.
-$\frac{156}{225}$

Accepted Answer

A)  $\frac{157}{226}$ 
B)  $\frac{75}{52}$ 
C)  $\frac{52}{75}$ 
D)  $\frac{224}{155}$ 
A)  $\frac{157}{226}$ 
B)  $\frac{75}{52}$ 
C)  $\frac{52}{75}$ 
D)  $\frac{224}{155}$

Question 2

Graph the inequality on a number line.
-

Accepted Answer

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

Question 3

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 135-lb woman who, in $4 \mathrm{hr}$, has drunk 9 beers. (Assume that each beer is $12 \mathrm{oz}$ with a $4.7 \%$ alcohol content.) Round your answer to the nearest thousandth.

Accepted Answer

A)  0.222 
B)  0.217 
C)  0.282 
D)  0.267 
A)  0.222 
B)  0.217 
C)  0.282 
D)  0.267

Question 4

Use inequality symbols to rewrite the statement.
-17 is greater than or equal to 17 .

Accepted Answer

A)  $17 \geq 17$ 
B)  $17 \leq 17$ 
C)  $1717$ 
A)  $17 \geq 17$ 
B)  $17 \leq 17$ 
C)  $1717$

Question 5

Write as a percent.
-5.9

Accepted Answer

A)  $59 \%$ 
B)  $0.59 \%$ 
C)  $0.0059 \%$ 
D)  $590 \%$ 
A)  $59 \%$ 
B)  $0.59 \%$ 
C)  $0.0059 \%$ 
D)  $590 \%$

Question 6

Write the set using interval notation.
-{x $\mid$-4$\lt$ x $\lt$3}

Accepted Answer

A)  $(-4,3)$ 
B)  $[-4,3)$ 
C)  $[-4,3]$ 
D)  $(-4,3]$ 
A)  $(-4,3)$ 
B)  $[-4,3)$ 
C)  $[-4,3]$ 
D)  $(-4,3]$

Question 7

Which property justifies the statement?
$2 \cdot 1=2$

Accepted Answer

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

Question 8

Is it always true that $c+(a \cdot b)=(c+a)(c+b)$, where $a$, $b$, and $c$ are real numbers? If not, provide an example that shows the statement is false.

Accepted Answer

It is not

Question 9

Perform the indicated operation.
-$4(-4)$

Accepted Answer

A)  -16 
B)  26 
C)  16 
D)  -26 
A)  -16 
B)  26 
C)  16 
D)  -26

Question 10

List all the elements of set $B$ that are of the indicated type.
-$\mathrm{B}=\left\{10, \sqrt{8},-6,0, \frac{0}{1}, \sqrt{9}, \frac{-7}{0}\right\}$
Real numbers

Accepted Answer

A)  $10, \sqrt{8},-6,0, \frac{0}{1}, \sqrt{9}$ 
B)  $10,-6,0, \frac{0}{1}, \frac{-7}{0}$ 
C)  $10,-6,0, \sqrt{9}$ 
D)  $10,-6,0, \frac{0}{1}, \sqrt{9}$ 
A)  $10, \sqrt{8},-6,0, \frac{0}{1}, \sqrt{9}$ 
B)  $10,-6,0, \frac{0}{1}, \frac{-7}{0}$ 
C)  $10,-6,0, \sqrt{9}$ 
D)  $10,-6,0, \frac{0}{1}, \sqrt{9}$

Question 11

Evaluate the expression.
-$0.73^{3}$

Accepted Answer

A)  0.38928 
B)  2.19 
C)  0.38917 
D)  0.5329 
A)  0.38928 
B)  2.19 
C)  0.38917 
D)  0.5329

Question 12

Perform the indicated operation.
-$-\frac{3}{4}\left(-\frac{7}{12}\right)$

Accepted Answer

A)  $-\frac{7}{16}$ 
B)  $-\frac{4}{3}$ 
C)  $\frac{7}{16}$ 
D)  $\frac{4}{3}$ 
A)  $-\frac{7}{16}$ 
B)  $-\frac{4}{3}$ 
C)  $\frac{7}{16}$ 
D)  $\frac{4}{3}$

Question 13

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
-$1+x$; commutative

Accepted Answer

A)  $1-x$ 
B)  $-x-1$ 
C)  $x-1$ 
D)  $x+1$ 
A)  $1-x$ 
B)  $-x-1$ 
C)  $x-1$ 
D)  $x+1$

Question 14

Rewrite the statement so the inequality symbol points in the opposite direction.
-$19<31$

Accepted Answer

A) $31>19$ B) $31 \geq 19$ C) $19>31$ D) $31<19$ A) $31>19$ B) $31 \geq 19$ C) $19>31$ D) $31<19$

Question 15

Add or subtract as indicated.
-$-13-(-27)$

Accepted Answer

A)  14 
B)  -14 
C)  40 
D)  -40 
A)  14 
B)  -14 
C)  40 
D)  -40

Question 16

$\mathrm{B}=\left\{-\sqrt{9}, 20, \sqrt{5},-2,0, \frac{0}{2}, \pi, \frac{-6}{0}, 0.47\right\}$
Irrational numbers

Accepted Answer

A)  $\sqrt{5}, \pi$ 
B)  $-\sqrt{9}, \sqrt{5}, \pi$ 
C)  $\sqrt{5}, \frac{-6}{0}, \pi$ 
D)  $-\sqrt{9}, \sqrt{5}, 0.47$ 
A)  $\sqrt{5}, \pi$ 
B)  $-\sqrt{9}, \sqrt{5}, \pi$ 
C)  $\sqrt{5}, \frac{-6}{0}, \pi$ 
D)  $-\sqrt{9}, \sqrt{5}, 0.47$

Question 17

Write the set using interval notation.
-$\{x \mid-7 \leq x<9\}$

Accepted Answer

A)  $[-7,9)$ 
B)  $[-7,9]$ 
C)  $(-7,9]$ 
D)  $(-7,9)$ 
A)  $[-7,9)$ 
B)  $[-7,9]$ 
C)  $(-7,9]$ 
D)  $(-7,9)$

Question 18

Simplify the expression.
-$10 x+1+4 x-x-6$

Accepted Answer

A)  $14 x+5$ 
B)  $14 x-5$ 
C)  $15 x-5$ 
D)  $13 x-5$ 
A)  $14 x+5$ 
B)  $14 x-5$ 
C)  $15 x-5$ 
D)  $13 x-5$

Question 19

Write the improper fraction as a mixed number.
-$\frac{12}{5}$

Accepted Answer

A)  $2 \frac{2}{5}$ 
B)  $2 \frac{2}{7}$ 
C)  $1 \frac{2}{5}$ 
D)  $3 \frac{2}{5}$ 
A)  $2 \frac{2}{5}$ 
B)  $2 \frac{2}{7}$ 
C)  $1 \frac{2}{5}$ 
D)  $3 \frac{2}{5}$

Question 20

Evaluate the expression for $a=-5, b=16$ and $c=7$.
-$\frac{2 c-a^{2}}{8 a+c^{2}}$

Accepted Answer

A)  $-\frac{11}{9}$ 
B)  $\frac{13}{3}$ 
C)  $\frac{11}{89}$ 
D)  $-\frac{11}{89}$ 
A)  $-\frac{11}{9}$ 
B)  $\frac{13}{3}$ 
C)  $\frac{11}{89}$ 
D)  $-\frac{11}{89}$

Write the fraction in lowest terms. - $\frac{156}{225}$

Graph the inequality on a number line. -

Use inequality symbols to rewrite the statement. -17 is greater than or equal to 17 .

Write as a percent. -5.9

Write the set using interval notation. -{x $\mid$ -4 $\lt$ x $\lt$ 3}

Which property justifies the statement? $2 \cdot 1=2$

Is it always true that $c+(a \cdot b)=(c+a)(c+b)$ , where $a$ , $b$ , and $c$ are real numbers? If not, provide an example that shows the statement is false.

Perform the indicated operation. - $4(-4)$

List all the elements of set $B$ that are of the indicated type. - $\mathrm{B}=\left\{10, \sqrt{8},-6,0, \frac{0}{1}, \sqrt{9}, \frac{-7}{0}\right\}$ Real numbers

Evaluate the expression. - $0.73^{3}$

Perform the indicated operation. - $-\frac{3}{4}\left(-\frac{7}{12}\right)$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $1+x$ ; commutative

Rewrite the statement so the inequality symbol points in the opposite direction. - $19<31$

Add or subtract as indicated. - $-13-(-27)$

$\mathrm{B}=\left\{-\sqrt{9}, 20, \sqrt{5},-2,0, \frac{0}{2}, \pi, \frac{-6}{0}, 0.47\right\}$ Irrational numbers

Write the set using interval notation. - $\{x \mid-7 \leq x<9\}$

Simplify the expression. - $10 x+1+4 x-x-6$

Write the improper fraction as a mixed number. - $\frac{12}{5}$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $\frac{2 c-a^{2}}{8 a+c^{2}}$

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

Write the fraction in lowest terms. - 156225\frac{156}{225}225156​

Graph the inequality on a number line. -

Use inequality symbols to rewrite the statement. -17 is greater than or equal to 17 .

Write as a percent. -5.9

Write the set using interval notation. -{x ∣\mid∣ -4 <\lt< x <\lt< 3}

Which property justifies the statement? 2⋅1=22 \cdot 1=22⋅1=2

Is it always true that c+(a⋅b)=(c+a)(c+b)c+(a \cdot b)=(c+a)(c+b)c+(a⋅b)=(c+a)(c+b) , where aaa , bbb , and ccc are real numbers? If not, provide an example that shows the statement is false.

Perform the indicated operation. - 4(−4)4(-4)4(−4)

List all the elements of set BBB that are of the indicated type. - B={10,8,−6,0,01,9,−70}\mathrm{B}=\left\{10, \sqrt{8},-6,0, \frac{0}{1}, \sqrt{9}, \frac{-7}{0}\right\}B={10,8​,−6,0,10​,9​,0−7​} Real numbers

Evaluate the expression. - 0.7330.73^{3}0.733

Perform the indicated operation. - −34(−712)-\frac{3}{4}\left(-\frac{7}{12}\right)−43​(−127​)

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - 1+x1+x1+x ; commutative

Rewrite the statement so the inequality symbol points in the opposite direction. - 19<3119<3119<31

Add or subtract as indicated. - −13−(−27)-13-(-27)−13−(−27)

B={−9,20,5,−2,0,02,π,−60,0.47}\mathrm{B}=\left\{-\sqrt{9}, 20, \sqrt{5},-2,0, \frac{0}{2}, \pi, \frac{-6}{0}, 0.47\right\}B={−9​,20,5​,−2,0,20​,π,0−6​,0.47} Irrational numbers

Write the set using interval notation. - {x∣−7≤x<9}\{x \mid-7 \leq x<9\}{x∣−7≤x<9}

Simplify the expression. - 10x+1+4x−x−610 x+1+4 x-x-610x+1+4x−x−6

Write the improper fraction as a mixed number. - 125\frac{12}{5}512​

Evaluate the expression for a=−5,b=16a=-5, b=16a=−5,b=16 and c=7c=7c=7 . - 2c−a28a+c2\frac{2 c-a^{2}}{8 a+c^{2}}8a+c22c−a2​