Question 1

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

Accepted Answer

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

Question 2

Solve.
-$|x-7|=-2$

Accepted Answer

A)  $\varnothing$ 
B)  $\{-9,-5\}$ 
C)  $\{9,5\}$ 
D)  $\{9\}$ 
A)  $\varnothing$ 
B)  $\{-9,-5\}$ 
C)  $\{9,5\}$ 
D)  $\{9\}$

Question 3

Rewrite with rational exponents.
-$\sqrt[3]{x y^{2} z^{3}}$

Accepted Answer

A)  $\frac{1}{\left(x y^{2} z^{3}\right)^{1 / 3}}$ 
B)  $\frac{x y^{2} z^{3}}{3}$ 
C)  $\left(x y^{2} z^{3}\right)^{1 / 3}$ 
D)  $\frac{1}{\left(x y^{2} z^{3}\right)^{3}}$ 
A)  $\frac{1}{\left(x y^{2} z^{3}\right)^{1 / 3}}$ 
B)  $\frac{x y^{2} z^{3}}{3}$ 
C)  $\left(x y^{2} z^{3}\right)^{1 / 3}$ 
D)  $\frac{1}{\left(x y^{2} z^{3}\right)^{3}}$

Question 4

Factor.
-$5 r^{3}-135 s^{3}$

Accepted Answer

A)  $5(r-3 s)\left(r^{2}+3 r s+9 s^{2}\right)$ 
B)  $(5 r-3 s)\left(r^{2}+15 r s+45 s^{2}\right)$ 
C)  $5(r+3 s)\left(r^{2}-3 r s+9 s^{2}\right)$ 
D)  $5(\mathrm{r}-3 \mathrm{~s})\left(\mathrm{r}^{2}+9 \mathrm{~s}^{2}\right)$ 
A)  $5(r-3 s)\left(r^{2}+3 r s+9 s^{2}\right)$ 
B)  $(5 r-3 s)\left(r^{2}+15 r s+45 s^{2}\right)$ 
C)  $5(r+3 s)\left(r^{2}-3 r s+9 s^{2}\right)$ 
D)  $5(\mathrm{r}-3 \mathrm{~s})\left(\mathrm{r}^{2}+9 \mathrm{~s}^{2}\right)$

Question 5

Complete.
-$1.65 \mathrm{~T}=$ ____$\mathrm{lb}$

Accepted Answer

A)  330 
B)  0.00825 
C)  0.000825 
D)  3300 
A)  330 
B)  0.00825 
C)  0.000825 
D)  3300

Question 6

Divide and simplify to the form $a+b i$.
-$\frac{4+3 i}{5+2 i}$

Accepted Answer

A)  $\frac{14}{29}-\frac{23}{29} \mathrm{i}$ 
B)  $\frac{26}{21}-\frac{1}{3} \mathrm{i}$ 
C)  $\frac{26}{29}+\frac{7}{29} \mathrm{i}$ 
D)  $\frac{2}{3}-\frac{1}{3} \mathrm{i}$ 
A)  $\frac{14}{29}-\frac{23}{29} \mathrm{i}$ 
B)  $\frac{26}{21}-\frac{1}{3} \mathrm{i}$ 
C)  $\frac{26}{29}+\frac{7}{29} \mathrm{i}$ 
D)  $\frac{2}{3}-\frac{1}{3} \mathrm{i}$

Question 7

Complete.
-0.631 mL = ____ L

Accepted Answer

A)  631 
B)  0.00631 
C)  0.000631 
D)  63.1 
A)  631 
B)  0.00631 
C)  0.000631 
D)  63.1

Question 8

Find the following. Assume that letters can represent any real number.
-$\sqrt[6]{(2 x)^{6}}$

Accepted Answer

A)  $2|x|$ 
B)  $2 x$ 
C)  Not a real number 
D)  $4|x|$ 
A)  $2|x|$ 
B)  $2 x$ 
C)  Not a real number 
D)  $4|x|$

Question 9

Find the square roots.
-64

Accepted Answer

A)  $8,-8$ 
B)  $10,-10$ 
C)  $16,-16$ 
D)  $9,-9$ 
A)  $8,-8$ 
B)  $10,-10$ 
C)  $16,-16$ 
D)  $9,-9$

Question 10

Multiply.
-$(10-3 \mathrm{i})^{2}$

Accepted Answer

A)  $100-51 \mathrm{i}$ 
B)  $100-69 i$ 
C)  $109-60 \mathrm{i}$ 
D)  $91-60 \mathrm{i}$ 
A)  $100-51 \mathrm{i}$ 
B)  $100-69 i$ 
C)  $109-60 \mathrm{i}$ 
D)  $91-60 \mathrm{i}$

Question 11

Find the midpoint of the segment with the given endpoints.
-$(8,-4)$ and $(-7,7)$

Accepted Answer

A)  $\left(\frac{15}{2},-\frac{11}{2}\right)$ 
B)  $(15,-11)$ 
C)  $\left(\frac{1}{2}, \frac{3}{2}\right)$ 
D)  $(1,3)$ 
A)  $\left(\frac{15}{2},-\frac{11}{2}\right)$ 
B)  $(15,-11)$ 
C)  $\left(\frac{1}{2}, \frac{3}{2}\right)$ 
D)  $(1,3)$

Question 12

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

Accepted Answer

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

Question 13

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
-$(4,5)$ and $(-3,-3)$

Accepted Answer

A)  -1 
B)  $\sqrt{15} \approx 3.873$ 
C)  $\sqrt{113} \approx 10.63$ 
D)  56 
A)  -1 
B)  $\sqrt{15} \approx 3.873$ 
C)  $\sqrt{113} \approx 10.63$ 
D)  56

Question 14

Express in terms of i.
-$-\sqrt{-208}$

Accepted Answer

A)  $4 \mathrm{i} \sqrt{13}$ 
B)  $4 \sqrt{13}$ 
C)  $-4 \sqrt{13}$ 
D)  $-4 \mathrm{i} \sqrt{13}$ 
A)  $4 \mathrm{i} \sqrt{13}$ 
B)  $4 \sqrt{13}$ 
C)  $-4 \sqrt{13}$ 
D)  $-4 \mathrm{i} \sqrt{13}$

Question 15

Find the following. Assume that letters can represent any real number.
-$\sqrt[416]{(a+b)^{416}}$

Accepted Answer

A)  $|a+b|$ 
B)  $\sqrt[208]{(a+b)}$ 
C)  $a+b$ 
D)  $\sqrt{(a+b)^{208}}$ 
A)  $|a+b|$ 
B)  $\sqrt[208]{(a+b)}$ 
C)  $a+b$ 
D)  $\sqrt{(a+b)^{208}}$

Question 16

Graph the system of inequalities, and find the coordinates of the vertices.
-

Accepted Answer

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

Question 17

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

Question 18

Solve.
-A common antibiotic is prescribed in a liquid suspension composed of part antibiotic and part water. In one formulation of the antibiotic suspension, there are $350 \mathrm{mg}$ of the antibiotic in 7 cubic centimeters (cc) of the liquid suspension. A physician prescribes $200 \mathrm{mg}$ per day. How much of the antibiotic liquid suspension should be administered to achieve the recommended dosage?

Accepted Answer

A)  $12.25 \mathrm{cc}$ 
B)  $4 \mathrm{cc}$ 
C)  $1.96 \mathrm{cc}$ 
D)  $196 \mathrm{cc}$ 
A)  $12.25 \mathrm{cc}$ 
B)  $4 \mathrm{cc}$ 
C)  $1.96 \mathrm{cc}$ 
D)  $196 \mathrm{cc}$

Question 19

Complete.
-$540 \mathrm{sec}=\ldots \min$

Accepted Answer

A)  16 
B)  22 
C)  4 
D)  9 
A)  16 
B)  22 
C)  4 
D)  9

Question 20

Factor.
-$250 x^{3}-54 y^{3}$

Accepted Answer

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

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

Solve. - $|x-7|=-2$

Rewrite with rational exponents. - $\sqrt[3]{x y^{2} z^{3}}$

Factor. - $5 r^{3}-135 s^{3}$

Complete. - $1.65 \mathrm{~T}=$ ____ $\mathrm{lb}$

Divide and simplify to the form $a+b i$ . - $\frac{4+3 i}{5+2 i}$

Complete. -0.631 mL = ____ L

Find the following. Assume that letters can represent any real number. - $\sqrt[6]{(2 x)^{6}}$

Find the square roots. -64

Multiply. - $(10-3 \mathrm{i})^{2}$

Find the midpoint of the segment with the given endpoints. - $(8,-4)$ and $(-7,7)$

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

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places. - $(4,5)$ and $(-3,-3)$

Express in terms of i. - $-\sqrt{-208}$

Find the following. Assume that letters can represent any real number. - $\sqrt[416]{(a+b)^{416}}$

Graph the system of inequalities, and find the coordinates of the vertices. -

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

Complete. - $540 \mathrm{sec}=\ldots \min$

Factor. - $250 x^{3}-54 y^{3}$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

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 16: Converting Units of Measurement

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

Solve. - ∣x−7∣=−2|x-7|=-2∣x−7∣=−2

Rewrite with rational exponents. - xy2z33\sqrt[3]{x y^{2} z^{3}}3xy2z3​

Factor. - 5r3−135s35 r^{3}-135 s^{3}5r3−135s3

Complete. - 1.65 T=1.65 \mathrm{~T}=1.65 T= ____ lb\mathrm{lb}lb

Divide and simplify to the form a+bia+b ia+bi . - 4+3i5+2i\frac{4+3 i}{5+2 i}5+2i4+3i​