Question 1

Simplify. If an expression does not represent a real number, state this.
-$-\sqrt[5]{243}$

Accepted Answer

A)  - 3 
B)  -48.6 
C)  not a real number 
D)  3 
A)  - 3 
B)  -48.6 
C)  not a real number 
D)  3

Question 2

Find an equation of the line having the given slope and containing the given point.
-$\mathrm{m}=-\frac{4}{7},(4,5)$

Accepted Answer

A)  $y=-\frac{4}{7} x+\frac{7}{51}$ 
B)  $y=-\frac{7}{4} x-\frac{7}{51}$ 
C)  $y=-\frac{4}{7} x+\frac{51}{7}$ 
D)  $y=-\frac{4}{7} x-\frac{51}{7}$ 
A)  $y=-\frac{4}{7} x+\frac{7}{51}$ 
B)  $y=-\frac{7}{4} x-\frac{7}{51}$ 
C)  $y=-\frac{4}{7} x+\frac{51}{7}$ 
D)  $y=-\frac{4}{7} x-\frac{51}{7}$

Question 3

Find an equation of the line containing the given pair of points
-$(-2,-5)$ and $(-9,-3)$

Accepted Answer

A)  $y=-\frac{1}{2} x-\frac{15}{2}$ 
B)  $y=-\frac{2}{7} x-\frac{39}{7}$ 
C)  $y=\frac{1}{2} x-\frac{15}{2}$ 
D)  $y=\frac{2}{7} x-\frac{39}{7}$ 
A)  $y=-\frac{1}{2} x-\frac{15}{2}$ 
B)  $y=-\frac{2}{7} x-\frac{39}{7}$ 
C)  $y=\frac{1}{2} x-\frac{15}{2}$ 
D)  $y=\frac{2}{7} x-\frac{39}{7}$

Question 4

Classify the statement as true or false.
-$\{5,10\} \subseteq\{4,6,8,10\}$

Accepted Answer

A) True 
 B)False

Question 5

Write interval notation for the given set or graph.
-$\{x \mid 2<x<6\}$

Accepted Answer

A)  $(2,6]$ 
B)  $[2,6)$ 
C)  $(2,6)$ 
D)  $[2,6]$ 
A)  $(2,6]$ 
B)  $[2,6)$ 
C)  $(2,6)$ 
D)  $[2,6]$

Question 6

Find an equation of the line containing the given pair of points
-$\left(\frac{1}{5}, \frac{4}{5}\right)$ and $\left(-\frac{1}{10}, \frac{1}{10}\right)$

Accepted Answer

A)  $y=-\frac{7}{3} x$ 
B)  $y=\frac{7}{3} x-\frac{1}{5}$ 
C)  $y=\frac{7}{3} x+\frac{1}{3}$ 
D)  $y=\frac{7}{3} x$ 
A)  $y=-\frac{7}{3} x$ 
B)  $y=\frac{7}{3} x-\frac{1}{5}$ 
C)  $y=\frac{7}{3} x+\frac{1}{3}$ 
D)  $y=\frac{7}{3} x$

Question 7

Write interval notation for the given set or graph.
-

Accepted Answer

A)  $(-\infty, 2]$ 
B)  $[2, \infty)$ 
C)  $(2, \infty)$ 
D)  $(-\infty, 2)$ 
A)  $(-\infty, 2]$ 
B)  $[2, \infty)$ 
C)  $(2, \infty)$ 
D)  $(-\infty, 2)$

Question 8

Factor.
-$b^{6}$ - 1

Accepted Answer

A)  $\left(b^{2}+1\right)\left(b^{4}-b^{2}+1\right)$ 
B)  $(b+1)(b-1)\left(b^{2}+b+1\right)\left(b^{2}-b+1\right)$ 
C)  $(b+1)(b-1)\left(b^{4}+b^{2}+1\right)$ 
D)  $\left(b^{3}+1\right)\left(b^{3}-1\right)$ 
A)  $\left(b^{2}+1\right)\left(b^{4}-b^{2}+1\right)$ 
B)  $(b+1)(b-1)\left(b^{2}+b+1\right)\left(b^{2}-b+1\right)$ 
C)  $(b+1)(b-1)\left(b^{4}+b^{2}+1\right)$ 
D)  $\left(b^{3}+1\right)\left(b^{3}-1\right)$

Question 9

Find an equation of the line having the given slope and containing the given point.
-$m=6,(0,8)$

Accepted Answer

A)  $y=6 x+15$ 
B)  $y=-6 x+6$ 
C)  $y=6 x+8$ 
D)  $y=6 x+13$ 
A)  $y=6 x+15$ 
B)  $y=-6 x+6$ 
C)  $y=6 x+8$ 
D)  $y=6 x+13$

Question 10

Factor.
-$27 x^{6}+343 y^{6}$

Accepted Answer

A)  $\left(3 x^{3}+7 y^{3}\right)\left(9 x^{3}-21 x^{3} y^{3}+49 y^{3}\right)$ 
B)  $\left(3 x^{2}+7 y^{2}\right)\left(9 x^{4}+49 y^{4}\right)$ 
C)  $\left(3 x^{2}+7 y^{2}\right)\left(9 x^{4}-21 x^{2} y^{2}+49 y^{4}\right)$ 
D)  $\left(3 x^{2}-7 y^{2}\right)\left(9 x^{4}+21 x^{2} y^{2}+49 y^{4}\right)$ 
A)  $\left(3 x^{3}+7 y^{3}\right)\left(9 x^{3}-21 x^{3} y^{3}+49 y^{3}\right)$ 
B)  $\left(3 x^{2}+7 y^{2}\right)\left(9 x^{4}+49 y^{4}\right)$ 
C)  $\left(3 x^{2}+7 y^{2}\right)\left(9 x^{4}-21 x^{2} y^{2}+49 y^{4}\right)$ 
D)  $\left(3 x^{2}-7 y^{2}\right)\left(9 x^{4}+21 x^{2} y^{2}+49 y^{4}\right)$

Question 11

Find the intersection.
-$\{a, e, i, o, u\} \cap\{z, m, d, v, j\}$

Accepted Answer

A)  $\{d\}$ 
B)  $\varnothing$ 
C)  $\{v\}$ 
D)  $\{0\}$ 
A)  $\{d\}$ 
B)  $\varnothing$ 
C)  $\{v\}$ 
D)  $\{0\}$

Question 12

Factor.
-$n^{3}-\frac{1}{8}$

Accepted Answer

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

Question 13

Find the median.
-$7.1,5.1,1.3,3.3$

Accepted Answer

A)  3.3 
B)  1.3 
C)  4.2 
D)  5.1 
A)  3.3 
B)  1.3 
C)  4.2 
D)  5.1

Question 14

Find an equation of the line containing the given pair of points
-$(1,-7)$ and $(-9,-7)$

Accepted Answer

A)  $\mathrm{x}=1$ 
B)  $-9 x+1 y=0$ 
C)  $1 x-9 y=0$ 
D)  $y=-7$ 
A)  $\mathrm{x}=1$ 
B)  $-9 x+1 y=0$ 
C)  $1 x-9 y=0$ 
D)  $y=-7$

Question 15

Find an equation of the line having the given slope and containing the given point.
-$m=0 ;(0,3)$

Accepted Answer

A)  $x=3$ 
B)  $x=3 y$ 
C)  $y=3 x$ 
D)  $y=3$ 
A)  $x=3$ 
B)  $x=3 y$ 
C)  $y=3 x$ 
D)  $y=3$

Question 16

Simplify. If an expression does not represent a real number, state this.
-$\sqrt[4]{-81}$

Accepted Answer

A)  not a real number 
B)  3 
C)  -3 
D)  9 
A)  not a real number 
B)  3 
C)  -3 
D)  9

Question 17

Solve the problem.
-The Wellspring Company has a fleet of seven trucks which get gas mileages of $17,11,16,10,17,8$, and 21 miles per gallon, respectively. What is the mean gas mileage for the fleet? Round your answer to the nearest mpg.

Accepted Answer

A)  $14 \mathrm{mpg}$ 
B)  $15 \mathrm{mpg}$ 
C)  $17 \mathrm{mpg}$ 
D)  $13 \mathrm{mpg}$ 
A)  $14 \mathrm{mpg}$ 
B)  $15 \mathrm{mpg}$ 
C)  $17 \mathrm{mpg}$ 
D)  $13 \mathrm{mpg}$

Question 18

Solve the problem.
-The following is a list of heights, in inches, of six people:
 
What is the mode?

Accepted Answer

A)  73inches 
B)  67 inches 
C)  70.5 inches 
D)  70 inches 
A)  73inches 
B)  67 inches 
C)  70.5 inches 
D)  70 inches

Question 19

Find an equation of the line having the given slope and containing the given point.
-$m=0,(4,-1)$

Accepted Answer

A)  $y=4$ 
B)  $y=-1$ 
C)  $x=4$ 
D)  $x=-1$ 
A)  $y=4$ 
B)  $y=-1$ 
C)  $x=4$ 
D)  $x=-1$

Question 20

Find the intersection.
-$\{e, f, g, h, i\} \cap\{h, i, j, k, l\}$

Accepted Answer

A)  $\{e, f, g, j, k, l\}$ 
B)  $\{e, f, g, h, i, j, k, l\}$ 
C)  $\varnothing$ 
D)  $\{h, i\}$ 
A)  $\{e, f, g, j, k, l\}$ 
B)  $\{e, f, g, h, i, j, k, l\}$ 
C)  $\varnothing$ 
D)  $\{h, i\}$

Simplify. If an expression does not represent a real number, state this. - $-\sqrt[5]{243}$

Find an equation of the line having the given slope and containing the given point. - $\mathrm{m}=-\frac{4}{7},(4,5)$

Find an equation of the line containing the given pair of points - $(-2,-5)$ and $(-9,-3)$

Classify the statement as true or false. - $\{5,10\} \subseteq\{4,6,8,10\}$

Write interval notation for the given set or graph. - $\{x \mid 2<x<6\}$

Find an equation of the line containing the given pair of points - $\left(\frac{1}{5}, \frac{4}{5}\right)$ and $\left(-\frac{1}{10}, \frac{1}{10}\right)$

Write interval notation for the given set or graph. -

Factor. - $b^{6}$ - 1

Find an equation of the line having the given slope and containing the given point. - $m=6,(0,8)$

Factor. - $27 x^{6}+343 y^{6}$

Find the intersection. - $\{a, e, i, o, u\} \cap\{z, m, d, v, j\}$

Factor. - $n^{3}-\frac{1}{8}$

Find the median. - $7.1,5.1,1.3,3.3$

Find an equation of the line containing the given pair of points - $(1,-7)$ and $(-9,-7)$

Find an equation of the line having the given slope and containing the given point. - $m=0 ;(0,3)$

Simplify. If an expression does not represent a real number, state this. - $\sqrt[4]{-81}$

Solve the problem. -The Wellspring Company has a fleet of seven trucks which get gas mileages of $17,11,16,10,17,8$ , and 21 miles per gallon, respectively. What is the mean gas mileage for the fleet? Round your answer to the nearest mpg.

Solve the problem. -The following is a list of heights, in inches, of six people: What is the mode?

Find an equation of the line having the given slope and containing the given point. - $m=0,(4,-1)$

Find the intersection. - $\{e, f, g, h, i\} \cap\{h, i, j, k, l\}$

Introduction to Real Numbers and Algebraic Expressions

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

Filters

Exam 10: Equations of Lines and Simplifying Radical Expressions

Simplify. If an expression does not represent a real number, state this. - −2435-\sqrt[5]{243}−5243​

Find an equation of the line having the given slope and containing the given point. - m=−47,(4,5)\mathrm{m}=-\frac{4}{7},(4,5)m=−74​,(4,5)

Find an equation of the line containing the given pair of points - (−2,−5)(-2,-5)(−2,−5) and (−9,−3)(-9,-3)(−9,−3)

Classify the statement as true or false. - {5,10}⊆{4,6,8,10}\{5,10\} \subseteq\{4,6,8,10\}{5,10}⊆{4,6,8,10}

Write interval notation for the given set or graph. - {x∣2<x<6}\{x \mid 2<x<6\}{x∣2<x<6}

Find an equation of the line containing the given pair of points - (15,45)\left(\frac{1}{5}, \frac{4}{5}\right)(51​,54​) and (−110,110)\left(-\frac{1}{10}, \frac{1}{10}\right)(−101​,101​)