Question 1

Find the union.
-$\{2,3,8,11\} \cup\{0,2,9,11\}$

Accepted Answer

A)  $\{0,2,3,8,11\}$ 
B)  $\{2,3,8,911\}$ 
C)  $\{2,11\}$ 
D)  $\{0,2,3,8,9,11\}$ 
A)  $\{0,2,3,8,11\}$ 
B)  $\{2,3,8,911\}$ 
C)  $\{2,11\}$ 
D)  $\{0,2,3,8,9,11\}$

Question 2

Classify the statement as true or false.
-$9 \in\{6,8,10,12\}$

Accepted Answer

A) True 
 B)False

Question 3

Find the mean.
-$6.6,7.2,4.6,7.2,4.4$

Accepted Answer

A)  7.2 
B)  5 
C)  6.6 
D)  6 
A)  7.2 
B)  5 
C)  6.6 
D)  6

Question 4

Solve and graph.
-$2 x \leq-36$

Accepted Answer

A)  $\{x \mid x \leq 18\}$, or $(-\infty, 18]$
  
B)  $\{x \mid x \leq-18\}$, or $(-\infty,-18]$
  
C)  $\{\mathrm{x} \mid \mathrm{x} \geq-18\}$, or $[-18, \infty)$
  
D)  $\{x \mid x \geq 18\}$, or $[18, \infty)$
  
A)  $\{x \mid x \leq 18\}$, or $(-\infty, 18]$
  
B)  $\{x \mid x \leq-18\}$, or $(-\infty,-18]$
  
C)  $\{\mathrm{x} \mid \mathrm{x} \geq-18\}$, or $[-18, \infty)$
  
D)  $\{x \mid x \geq 18\}$, or $[18, \infty)$

Question 5

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

Accepted Answer

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

Question 6

Solve and graph.
-$2 \mathrm{x}<12$

Accepted Answer

A) $\{x \mid x>6\}$, or $(6, \infty)$ B) $\{x \mid x>10\}$, or $(10, \infty)$ C) $\{\mathrm{x} \mid \mathrm{x}<10\}$, or $(-\infty, 10)$ D) $\{\mathrm{x} \mid \mathrm{x}<6\}$, or $(-\infty, 6)$ A) $\{x \mid x>6\}$, or $(6, \infty)$ B) $\{x \mid x>10\}$, or $(10, \infty)$ C) $\{\mathrm{x} \mid \mathrm{x}<10\}$, or $(-\infty, 10)$ D) $\{\mathrm{x} \mid \mathrm{x}<6\}$, or $(-\infty, 6)$

Question 7

Find an equation of the line containing the given pair of points
-$(-8,-60)$ and $(9,59)$

Accepted Answer

A)  $y=\frac{1}{7} x-\frac{412}{7}$ 
B)  $y=7 x-4$ 
C)  $y=-7 x-116$ 
D)  $y=-\frac{1}{7} x-\frac{428}{7}$ 
A)  $y=\frac{1}{7} x-\frac{412}{7}$ 
B)  $y=7 x-4$ 
C)  $y=-7 x-116$ 
D)  $y=-\frac{1}{7} x-\frac{428}{7}$

Question 8

Factor.
-$\mathrm{x}^{9}+\mathrm{y}^{6}$

Accepted Answer

A)  $\left(x^{3}-y^{2}\right)\left(x^{6}-x^{3} y^{2}+y^{6}\right)$ 
B)  $\left(x^{3}+y^{2}\right)\left(x^{6}-x^{3} y^{2}+y^{6}\right)$ 
C)  $\left(\mathrm{x}^{3}+\mathrm{y}^{2}\right)\left(\mathrm{x}^{6}+\mathrm{x}^{3} \mathrm{y}^{2}+\mathrm{y}^{6}\right)$ 
D)  $\left(x^{3}-y^{2}\right)\left(x^{6}+x^{3} y^{2}+y^{6}\right)$ 
A)  $\left(x^{3}-y^{2}\right)\left(x^{6}-x^{3} y^{2}+y^{6}\right)$ 
B)  $\left(x^{3}+y^{2}\right)\left(x^{6}-x^{3} y^{2}+y^{6}\right)$ 
C)  $\left(\mathrm{x}^{3}+\mathrm{y}^{2}\right)\left(\mathrm{x}^{6}+\mathrm{x}^{3} \mathrm{y}^{2}+\mathrm{y}^{6}\right)$ 
D)  $\left(x^{3}-y^{2}\right)\left(x^{6}+x^{3} y^{2}+y^{6}\right)$

Question 9

Find any modes that exist.
-$\$ 96, \$ 63, \$ 32, \$ 63, \$ 29, \$ 96$

Accepted Answer

A)  $\$ 96$ 
B)  $\$ 63$ 
C)  $\$ 96, \$ 63$ 
D)  No mode exists. 
A)  $\$ 96$ 
B)  $\$ 63$ 
C)  $\$ 96, \$ 63$ 
D)  No mode exists.

Question 10

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

Accepted Answer

A) True 
 B)False

Question 11

Find any modes that exist.
-$93,25,93,13,25,29,56,93$

Accepted Answer

A)  25 
B)  53.4 
C)  93,25 
D)  93 
A)  25 
B)  53.4 
C)  93,25 
D)  93

Question 12

Factor.
-$128 \mathrm{k}^{3} \mathrm{~m}-250 \mathrm{~m}^{4}$

Accepted Answer

A)  $2 m(64 k-5 m)\left(k^{2}+20 k m+25 m^{2}\right)$ 
B)  $2 m\left(4 k+5 m^{2}\right)\left(16 k^{2}-20 k m+25 k m^{2}\right)$ 
C)  $2 m(4 k-5 m)\left(16 k^{2}+20 k m+25 m^{2}\right)$ 
D)  $\left(8 \mathrm{~km}-10 \mathrm{~m}^{2}\right)\left(16 \mathrm{k}^{2}+25 \mathrm{~m}^{2}\right)$ 
A)  $2 m(64 k-5 m)\left(k^{2}+20 k m+25 m^{2}\right)$ 
B)  $2 m\left(4 k+5 m^{2}\right)\left(16 k^{2}-20 k m+25 k m^{2}\right)$ 
C)  $2 m(4 k-5 m)\left(16 k^{2}+20 k m+25 m^{2}\right)$ 
D)  $\left(8 \mathrm{~km}-10 \mathrm{~m}^{2}\right)\left(16 \mathrm{k}^{2}+25 \mathrm{~m}^{2}\right)$

Question 13

Name the set using the roster method.
-The set of whole numbers 2 through 5

Accepted Answer

A)  $\{3,4,5\}$ 
B)  $\{3,4\}$ 
C)  $\{2,3,4,5\}$ 
D)  $\{2,5\}$ 
A)  $\{3,4,5\}$ 
B)  $\{3,4\}$ 
C)  $\{2,3,4,5\}$ 
D)  $\{2,5\}$

Question 14

Simplify
-$\sqrt[5]{64}$

Accepted Answer

A)  $2 \sqrt[5]{4}$ 
B)  2 
C)  $4 \sqrt[5]{2}$ 
D)  $2 \sqrt[5]{2}$ 
A)  $2 \sqrt[5]{4}$ 
B)  2 
C)  $4 \sqrt[5]{2}$ 
D)  $2 \sqrt[5]{2}$

Question 15

Classify the statement as true or false.
-Box turtle $\in$ The set of all mammals

Accepted Answer

A) True 
 B)False

Question 16

Simplify
-$\sqrt[3]{375}$

Accepted Answer

A)  19 
B)  7 
C)  $3 \sqrt[3]{5}$ 
D)  $5 \sqrt[3]{3}$ 
A)  19 
B)  7 
C)  $3 \sqrt[3]{5}$ 
D)  $5 \sqrt[3]{3}$

Question 17

Write interval notation for the given set or graph.
-

Accepted Answer

A)  $[-3,1)$ 
B)  $(-3,1]$ 
C)  $(-3,1)$ 
D)  $[-3,1]$ 
A)  $[-3,1)$ 
B)  $(-3,1]$ 
C)  $(-3,1)$ 
D)  $[-3,1]$

Question 18

Factor.
-$343 y^{3} z-z$

Accepted Answer

A)  $z(7 y+1)\left(49 y^{2}-7 y+1\right)$ 
B)  $z(7 y-1)\left(49 y^{2}+7 y+1\right)$ 
C)  $z(343 y-1)\left(y^{2}+7 y+1\right)$ 
D)  $z(7 y-1)\left(49 y^{2}+1\right)$ 
A)  $z(7 y+1)\left(49 y^{2}-7 y+1\right)$ 
B)  $z(7 y-1)\left(49 y^{2}+7 y+1\right)$ 
C)  $z(343 y-1)\left(y^{2}+7 y+1\right)$ 
D)  $z(7 y-1)\left(49 y^{2}+1\right)$

Question 19

Factor.
-$p^{6}+1$

Accepted Answer

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

Question 20

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

Accepted Answer

A)  $y=-3 x-1$ 
B)  $y=3 x+5$ 
C)  $y=3 x+3$ 
D)  $y=3 x-3$ 
A)  $y=-3 x-1$ 
B)  $y=3 x+5$ 
C)  $y=3 x+3$ 
D)  $y=3 x-3$

Find the union. - $\{2,3,8,11\} \cup\{0,2,9,11\}$

Classify the statement as true or false. - $9 \in\{6,8,10,12\}$

Find the mean. - $6.6,7.2,4.6,7.2,4.4$

Solve and graph. - $2 x \leq-36$ $Solve and graph. - 2 x \leq-36$

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

Solve and graph. - $2 \mathrm{x}<12$ $Solve and graph. - 2 \mathrm{x}<12$

Find an equation of the line containing the given pair of points - $(-8,-60)$ and $(9,59)$

Factor. - $\mathrm{x}^{9}+\mathrm{y}^{6}$

Find any modes that exist. - $\$ 96, \$ 63, \$ 32, \$ 63, \$ 29, \$ 96$

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

Find any modes that exist. - $93,25,93,13,25,29,56,93$

Factor. - $128 \mathrm{k}^{3} \mathrm{~m}-250 \mathrm{~m}^{4}$

Name the set using the roster method. -The set of whole numbers 2 through 5

Simplify - $\sqrt[5]{64}$

Classify the statement as true or false. -Box turtle $\in$ The set of all mammals

Simplify - $\sqrt[3]{375}$

Write interval notation for the given set or graph. -

Factor. - $343 y^{3} z-z$

Factor. - $p^{6}+1$

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

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

Find the union. - {2,3,8,11}∪{0,2,9,11}\{2,3,8,11\} \cup\{0,2,9,11\}{2,3,8,11}∪{0,2,9,11}

Classify the statement as true or false. - 9∈{6,8,10,12}9 \in\{6,8,10,12\}9∈{6,8,10,12}

Find the mean. - 6.6,7.2,4.6,7.2,4.46.6,7.2,4.6,7.2,4.46.6,7.2,4.6,7.2,4.4

Solve and graph. - 2x≤−362 x \leq-362x≤−36

Find the union. - {e,f,g,h,i}∪{h,i,j,k,l}\{e, f, g, h, i\} \cup\{h, i, j, k, l\}{e,f,g,h,i}∪{h,i,j,k,l}

Solve and graph. - 2x<122 \mathrm{x}<122x<12

Find an equation of the line containing the given pair of points - (−8,−60)(-8,-60)(−8,−60) and (9,59)(9,59)(9,59)

Factor. - x9+y6\mathrm{x}^{9}+\mathrm{y}^{6}x9+y6

Find any modes that exist. - $96,$63,$32,$63,$29,$96\$ 96, \$ 63, \$ 32, \$ 63, \$ 29, \$ 96$96,$63,$32,$63,$29,$96

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

Find any modes that exist. - 93,25,93,13,25,29,56,9393,25,93,13,25,29,56,9393,25,93,13,25,29,56,93

Factor. - 128k3 m−250 m4128 \mathrm{k}^{3} \mathrm{~m}-250 \mathrm{~m}^{4}128k3 m−250 m4

Name the set using the roster method. -The set of whole numbers 2 through 5

Simplify - 645\sqrt[5]{64}564​

Classify the statement as true or false. -Box turtle ∈\in∈ The set of all mammals

Simplify - 3753\sqrt[3]{375}3375​

Write interval notation for the given set or graph. -

Factor. - 343y3z−z343 y^{3} z-z343y3z−z

Factor. - p6+1p^{6}+1p6+1

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

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

Find the union. - $\{2,3,8,11\} \cup\{0,2,9,11\}$

Classify the statement as true or false. - $9 \in\{6,8,10,12\}$

Find the mean. - $6.6,7.2,4.6,7.2,4.4$

Solve and graph. - $2 x \leq-36$ $Solve and graph. - 2 x \leq-36$

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

Solve and graph. - $2 \mathrm{x}<12$ $Solve and graph. - 2 \mathrm{x}<12$

Find an equation of the line containing the given pair of points - $(-8,-60)$ and $(9,59)$

Factor. - $\mathrm{x}^{9}+\mathrm{y}^{6}$

Find any modes that exist. - $\$ 96, \$ 63, \$ 32, \$ 63, \$ 29, \$ 96$

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

Find any modes that exist. - $93,25,93,13,25,29,56,93$

Factor. - $128 \mathrm{k}^{3} \mathrm{~m}-250 \mathrm{~m}^{4}$

Simplify - $\sqrt[5]{64}$

Classify the statement as true or false. -Box turtle $\in$ The set of all mammals

Simplify - $\sqrt[3]{375}$

Factor. - $343 y^{3} z-z$

Factor. - $p^{6}+1$

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