Question 1

Factor.
-$t^{3}+64$

Accepted Answer

A)  $(t-64)\left(t^{2}-1\right)$ 
B)  $(t+4)\left(t^{2}+16\right)$ 
C)  $(\mathrm{t}-4)\left(\mathrm{t}^{2}+4 \mathrm{t}+16\right)$ 
D)  $(t+4)\left(t^{2}-4 t+16\right)$ 
A)  $(t-64)\left(t^{2}-1\right)$ 
B)  $(t+4)\left(t^{2}+16\right)$ 
C)  $(\mathrm{t}-4)\left(\mathrm{t}^{2}+4 \mathrm{t}+16\right)$ 
D)  $(t+4)\left(t^{2}-4 t+16\right)$ D

Question 2

Classify the statement as true or false.
-$\{8,10,12,14\} \subseteq\{-14,-12,-10,-8,8,10,12,14\}$

Accepted Answer

A) True 
 B)False  True

Question 3

Simplify. If an expression does not represent a real number, state this.
-$\sqrt[5]{-1024}$

Accepted Answer

A)  -204.8 
B)  not a real number 
C)  4 
D)  -4 
A)  -204.8 
B)  not a real number 
C)  4 
D)  -4 D

Question 4

Simplify
-$\sqrt[3]{\frac{1}{125}}$

Accepted Answer

A)  5 
B)  $\frac{1}{25}$ 
C)  $\frac{1}{5}$ 
D)  $\frac{1}{\sqrt[3]{5}}$ 
A)  5 
B)  $\frac{1}{25}$ 
C)  $\frac{1}{5}$ 
D)  $\frac{1}{\sqrt[3]{5}}$

Question 5

Name the set using the roster method.
-$\{x \mid$ the square of $x$ is 36$\}$

Accepted Answer

A)  $\{18\}$ 
B)  $\{6\}$ 
C)  $\{-6,6\}$ 
D)  $\{18,18\}$ 
A)  $\{18\}$ 
B)  $\{6\}$ 
C)  $\{-6,6\}$ 
D)  $\{18,18\}$

Question 6

Find an equation of the line having the given slope and containing the given point.
-$\mathrm{m}=\frac{5}{4},(0,6)$

Accepted Answer

A)  $y=-\frac{4}{5} x+\frac{1}{6}$ 
B)  $y=\frac{5}{4} x-\frac{1}{6}$ 
C)  $y=\frac{5}{4} x+6$ 
D)  $y=-\frac{5}{4} x+6$ 
A)  $y=-\frac{4}{5} x+\frac{1}{6}$ 
B)  $y=\frac{5}{4} x-\frac{1}{6}$ 
C)  $y=\frac{5}{4} x+6$ 
D)  $y=-\frac{5}{4} x+6$

Question 7

Find an equation of the line having the given slope and containing the given point.
-$m=6 ;(-7,0)$

Accepted Answer

A)  $y=6 x-45$ 
B)  $y=6 x-43$ 
C)  $y=-6 x+38$ 
D)  $y=6 x+42$ 
A)  $y=6 x-45$ 
B)  $y=6 x-43$ 
C)  $y=-6 x+38$ 
D)  $y=6 x+42$

Question 8

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

Accepted Answer

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

Question 9

Write interval notation for the given set or graph.
-$\{x \mid x \leq 0\}$

Accepted Answer

A)  $[0, \infty)$ 
B)  $(\infty, 0)$ 
C)  $(\infty, 0]$ 
D)  $(0, \infty)$ 
A)  $[0, \infty)$ 
B)  $(\infty, 0)$ 
C)  $(\infty, 0]$ 
D)  $(0, \infty)$

Question 10

Factor.
-$375 x^{3}-81 y^{3}$

Accepted Answer

A)  $3(5 x-3 y)\left(25 x^{2}+15 x y+9 y^{2}\right)$ 
B)  $3(5 x+3 y)\left(25 x^{2}-15 x y+9 y^{2}\right)$ 
C)  $3(5 x-3 y)\left(25 x^{2}+15 x y-9 y^{2}\right)$ 
D)  $3(5 x-3 y)\left(25 x^{2}-15 x y+9 y^{2}\right)$ 
A)  $3(5 x-3 y)\left(25 x^{2}+15 x y+9 y^{2}\right)$ 
B)  $3(5 x+3 y)\left(25 x^{2}-15 x y+9 y^{2}\right)$ 
C)  $3(5 x-3 y)\left(25 x^{2}+15 x y-9 y^{2}\right)$ 
D)  $3(5 x-3 y)\left(25 x^{2}-15 x y+9 y^{2}\right)$

Question 11

Classify the statement as true or false.
-The set of vowels $\subseteq$ The set of letters of the alphabet

Accepted Answer

A) True 
 B)False

Question 12

Find an equation of the line containing the given pair of points
-$\left(-\frac{1}{5}, \frac{2}{5}\right)$ and $\left(\frac{1}{5}, \frac{7}{5}\right)$

Accepted Answer

A)  $y=\frac{5}{2} x$ 
B)  $y=\frac{5}{2} x+\frac{9}{10}$ 
C)  $y=5 x+9$ 
D)  $y=\frac{5}{2} x-\frac{1}{2}$ 
A)  $y=\frac{5}{2} x$ 
B)  $y=\frac{5}{2} x+\frac{9}{10}$ 
C)  $y=5 x+9$ 
D)  $y=\frac{5}{2} x-\frac{1}{2}$

Question 13

Find any modes that exist.
-20, 29, 46, 29, 49, 29, 49

Accepted Answer

A)  35.9 
B)  49 
C)  46 
D)  29 
A)  35.9 
B)  49 
C)  46 
D)  29

Question 14

Solve the problem.
-Jeremy's car gets 310 miles of highway driving on 10 gallons of gasoline. What is the mean number of miles expected per gallon -- that is, what is its gas mileage?

Accepted Answer

A)  $30 \mathrm{mpg}$ 
B)  $31 \mathrm{mpg}$ 
C)  $32 \mathrm{mpg}$ 
D)  $33 \mathrm{mpg}$ 
A)  $30 \mathrm{mpg}$ 
B)  $31 \mathrm{mpg}$ 
C)  $32 \mathrm{mpg}$ 
D)  $33 \mathrm{mpg}$

Question 15

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

Accepted Answer

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

Question 16

Classify the statement as true or false.
-$\frac{2}{9} \in\{\mathrm{x} \mid \mathrm{x}$ is an integer $\}$

Accepted Answer

A) True 
 B)False

Question 17

Classify the statement as true or false.
-$\{10\} \subseteq\{8,10,12,14\}$

Accepted Answer

A) True 
 B)False

Question 18

Factor.
-$64 a^{3}-125 b^{3}$

Accepted Answer

A)  $(4 a-5 b)\left(16 a^{2}+20 a b+25 b^{2}\right)$ 
B)  $(64 a-5 b)\left(a^{2}+20 a b+25 b^{2}\right)$ 
C)  $\left(4 a+5 b^{2}\right)\left(16 a^{2}-20 a b+25 b^{2}\right)$ 
D)  $(4 a-5 b)\left(16 a^{2}+25 b^{2}\right)$ 
A)  $(4 a-5 b)\left(16 a^{2}+20 a b+25 b^{2}\right)$ 
B)  $(64 a-5 b)\left(a^{2}+20 a b+25 b^{2}\right)$ 
C)  $\left(4 a+5 b^{2}\right)\left(16 a^{2}-20 a b+25 b^{2}\right)$ 
D)  $(4 a-5 b)\left(16 a^{2}+25 b^{2}\right)$

Question 19

Find an equation of the line having the given slope and containing the given point.
-$m=3,(-3,-7)$

Accepted Answer

A)  $y=3 x-2$ 
B)  $y=3 x-12$ 
C)  $y=3 x+12$ 
D)  $y=3 x+2$ 
A)  $y=3 x-2$ 
B)  $y=3 x-12$ 
C)  $y=3 x+12$ 
D)  $y=3 x+2$

Question 20

Factor.
-$1000 y^{3}-729$

Accepted Answer

A)  $(1000 y-9)\left(y^{2}+90 y+81\right)$ 
B)  $(10 y-9)\left(100 y^{2}+90 y+81\right)$ 
C)  $(10 y-9)\left(100 y^{2}+81\right)$ 
D)  $(10 y+9)\left(100 y^{2}-90 y+81\right)$ 
A)  $(1000 y-9)\left(y^{2}+90 y+81\right)$ 
B)  $(10 y-9)\left(100 y^{2}+90 y+81\right)$ 
C)  $(10 y-9)\left(100 y^{2}+81\right)$ 
D)  $(10 y+9)\left(100 y^{2}-90 y+81\right)$

Factor. - $t^{3}+64$

Classify the statement as true or false. - $\{8,10,12,14\} \subseteq\{-14,-12,-10,-8,8,10,12,14\}$

Simplify. If an expression does not represent a real number, state this. - $\sqrt[5]{-1024}$

Simplify - $\sqrt[3]{\frac{1}{125}}$

Name the set using the roster method. - $\{x \mid$ the square of $x$ is 36 $\}$

Find an equation of the line having the given slope and containing the given point. - $\mathrm{m}=\frac{5}{4},(0,6)$

Find an equation of the line having the given slope and containing the given point. - $m=6 ;(-7,0)$

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

Write interval notation for the given set or graph. - $\{x \mid x \leq 0\}$

Factor. - $375 x^{3}-81 y^{3}$

Classify the statement as true or false. -The set of vowels $\subseteq$ The set of letters of the alphabet

Find an equation of the line containing the given pair of points - $\left(-\frac{1}{5}, \frac{2}{5}\right)$ and $\left(\frac{1}{5}, \frac{7}{5}\right)$

Find any modes that exist. -20, 29, 46, 29, 49, 29, 49

Solve the problem. -Jeremy's car gets 310 miles of highway driving on 10 gallons of gasoline. What is the mean number of miles expected per gallon -- that is, what is its gas mileage?

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

Classify the statement as true or false. - $\frac{2}{9} \in\{\mathrm{x} \mid \mathrm{x}$ is an integer $\}$

Classify the statement as true or false. - $\{10\} \subseteq\{8,10,12,14\}$

Factor. - $64 a^{3}-125 b^{3}$

Find an equation of the line having the given slope and containing the given point. - $m=3,(-3,-7)$

Factor. - $1000 y^{3}-729$

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

Factor. - t3+64t^{3}+64t3+64

Classify the statement as true or false. - {8,10,12,14}⊆{−14,−12,−10,−8,8,10,12,14}\{8,10,12,14\} \subseteq\{-14,-12,-10,-8,8,10,12,14\}{8,10,12,14}⊆{−14,−12,−10,−8,8,10,12,14}

Simplify. If an expression does not represent a real number, state this. - −10245\sqrt[5]{-1024}5−1024​

Simplify - 11253\sqrt[3]{\frac{1}{125}}31251​​

Name the set using the roster method. - {x∣\{x \mid{x∣ the square of xxx is 36 }\}}

Find an equation of the line having the given slope and containing the given point. - m=54,(0,6)\mathrm{m}=\frac{5}{4},(0,6)m=45​,(0,6)

Find an equation of the line having the given slope and containing the given point. - m=6;(−7,0)m=6 ;(-7,0)m=6;(−7,0)

Find the intersection. - {b,c,d,e,f}∩{g,h,i,j,k}\{b, c, d, e, f\} \cap\{g, h, i, j, k\}{b,c,d,e,f}∩{g,h,i,j,k}

Write interval notation for the given set or graph. - {x∣x≤0}\{x \mid x \leq 0\}{x∣x≤0}

Factor. - 375x3−81y3375 x^{3}-81 y^{3}375x3−81y3

Classify the statement as true or false. -The set of vowels ⊆\subseteq⊆ The set of letters of the alphabet

Find an equation of the line containing the given pair of points - (−15,25)\left(-\frac{1}{5}, \frac{2}{5}\right)(−51​,52​) and (15,75)\left(\frac{1}{5}, \frac{7}{5}\right)(51​,57​)

Find any modes that exist. -20, 29, 46, 29, 49, 29, 49

Solve the problem. -Jeremy's car gets 310 miles of highway driving on 10 gallons of gasoline. What is the mean number of miles expected per gallon -- that is, what is its gas mileage?

Write interval notation for the given set or graph. - {x∣−6≤x≤−2}\{\mathrm{x} \mid-6 \leq \mathrm{x} \leq-2\}{x∣−6≤x≤−2}

Classify the statement as true or false. - 29∈{x∣x\frac{2}{9} \in\{\mathrm{x} \mid \mathrm{x}92​∈{x∣x is an integer }\}}

Classify the statement as true or false. - {10}⊆{8,10,12,14}\{10\} \subseteq\{8,10,12,14\}{10}⊆{8,10,12,14}

Factor. - 64a3−125b364 a^{3}-125 b^{3}64a3−125b3

Find an equation of the line having the given slope and containing the given point. - m=3,(−3,−7)m=3,(-3,-7)m=3,(−3,−7)

Factor. - 1000y3−7291000 y^{3}-7291000y3−729

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

Factor. - $t^{3}+64$

Classify the statement as true or false. - $\{8,10,12,14\} \subseteq\{-14,-12,-10,-8,8,10,12,14\}$

Simplify. If an expression does not represent a real number, state this. - $\sqrt[5]{-1024}$

Simplify - $\sqrt[3]{\frac{1}{125}}$

Name the set using the roster method. - $\{x \mid$ the square of $x$ is 36 $\}$

Find an equation of the line having the given slope and containing the given point. - $\mathrm{m}=\frac{5}{4},(0,6)$

Find an equation of the line having the given slope and containing the given point. - $m=6 ;(-7,0)$

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

Write interval notation for the given set or graph. - $\{x \mid x \leq 0\}$

Factor. - $375 x^{3}-81 y^{3}$

Classify the statement as true or false. -The set of vowels $\subseteq$ The set of letters of the alphabet

Find an equation of the line containing the given pair of points - $\left(-\frac{1}{5}, \frac{2}{5}\right)$ and $\left(\frac{1}{5}, \frac{7}{5}\right)$

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

Classify the statement as true or false. - $\frac{2}{9} \in\{\mathrm{x} \mid \mathrm{x}$ is an integer $\}$

Classify the statement as true or false. - $\{10\} \subseteq\{8,10,12,14\}$

Factor. - $64 a^{3}-125 b^{3}$

Find an equation of the line having the given slope and containing the given point. - $m=3,(-3,-7)$

Factor. - $1000 y^{3}-729$