Question 1

Find an equation of the line having the given slope and containing the given point.
-$\mathrm{m}=-\frac{2}{3},(4,3)$

Accepted Answer

A)  $y=-\frac{2}{3} x-\frac{17}{3}$ 
B)  $y=-\frac{2}{3} x+\frac{3}{17}$ 
C)  $y=-\frac{3}{2} x-\frac{3}{17}$ 
D)  $y=-\frac{2}{3} x+\frac{17}{3}$ 
A)  $y=-\frac{2}{3} x-\frac{17}{3}$ 
B)  $y=-\frac{2}{3} x+\frac{3}{17}$ 
C)  $y=-\frac{3}{2} x-\frac{3}{17}$ 
D)  $y=-\frac{2}{3} x+\frac{17}{3}$

Question 2

Express in terms of i.
-$\sqrt{-400}$

Accepted Answer

A)  $\mathrm{i} \sqrt{20}$ 
B)  $20 \mathrm{i}$ 
C) $\pm 20$ 
D)  $-20 \mathrm{i}$ 
A)  $\mathrm{i} \sqrt{20}$ 
B)  $20 \mathrm{i}$ 
C) $\pm 20$ 
D)  $-20 \mathrm{i}$

Question 3

Find an equation of the line having the given slope and containing the given point.
-$\mathrm{m}=0,(-10,-2)$

Accepted Answer

A)  $y=-10$ 
B)  $y=-2$ 
C)  $x=-10$ 
D)  $x=-2$ 
A)  $y=-10$ 
B)  $y=-2$ 
C)  $x=-10$ 
D)  $x=-2$

Question 4

Identify the radicand.
-$5 x \sqrt{y-2}$

Accepted Answer

A)  $5 x$ 
B)  $\sqrt{y-2}$ 
C)  $y-2$ 
D)  y 
A)  $5 x$ 
B)  $\sqrt{y-2}$ 
C)  $y-2$ 
D)  y

Question 5

Rewrite with positive exponents, and simplify, if possible.
-$5^{-1 / 3} \mathrm{ax}^{-4 / 5} \mathrm{z}^{5}$

Accepted Answer

A)  $\frac{a z^{5}}{5^{3 / 1} x^{5 / 4}}$ 
B)  $\frac{a z}{5^{1 / 3} x^{4}}$ 
C)  $\frac{a z^{5}}{5^{1 / 3} x^{4 / 5}}$ 
D)  $\frac{z^{5}}{5^{1 / 3} a x^{4 / 5}}$ 
A)  $\frac{a z^{5}}{5^{3 / 1} x^{5 / 4}}$ 
B)  $\frac{a z}{5^{1 / 3} x^{4}}$ 
C)  $\frac{a z^{5}}{5^{1 / 3} x^{4 / 5}}$ 
D)  $\frac{z^{5}}{5^{1 / 3} a x^{4 / 5}}$

Question 6

Find an equation of the line having the given slope and containing the given point.
-$\mathrm{m}=9,(0,6)$

Accepted Answer

A)  $y=9 x+13$ 
B)  $y=-9 x+4$ 
C)  $y=9 x+11$ 
D)  $y=9 x+6$ 
A)  $y=9 x+13$ 
B)  $y=-9 x+4$ 
C)  $y=9 x+11$ 
D)  $y=9 x+6$

Question 7

Complete.
-14.6 g = ____ kg

Accepted Answer

A)  0.00146 
B)  0.0146 
C)  1460 
D)  14,600 
A)  0.00146 
B)  0.0146 
C)  1460 
D)  14,600

Question 8

Use a calculator to approximate to three decimal places.
-$\sqrt{0.000163}$

Accepted Answer

A)  0.13 
B)  1.300 
C)  0.001 
D)  0.013 
A)  0.13 
B)  1.300 
C)  0.001 
D)  0.013

Question 9

Divide and simplify to the form $a+b i$.
-$\frac{7-6 i}{5-8 i}$

Accepted Answer

A)  $\frac{83}{89}+\frac{26}{89} \mathrm{i}$ 
B)  $-\frac{13}{89}+\frac{86}{89} \mathrm{i}$ 
C)  $-\frac{83}{39}+\frac{2}{3} \mathrm{i}$ 
D)  $\frac{1}{3}+\frac{2}{3} \mathrm{i}$ 
A)  $\frac{83}{89}+\frac{26}{89} \mathrm{i}$ 
B)  $-\frac{13}{89}+\frac{86}{89} \mathrm{i}$ 
C)  $-\frac{83}{39}+\frac{2}{3} \mathrm{i}$ 
D)  $\frac{1}{3}+\frac{2}{3} \mathrm{i}$

Question 10

Complete.
-953 mL =____ L

Accepted Answer

A)  0.953 
B)  953,000 
C)  95,300 
D)  9.53 
A)  0.953 
B)  953,000 
C)  95,300 
D)  9.53

Question 11

Write interval notation for the graph.
-

Accepted Answer

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

Question 12

Complete.
-$2 \frac{1}{2} \mathrm{pt}=$ ___ cups

Accepted Answer

A)  8 
B)  4 
C)  5 
D)  10 
A)  8 
B)  4 
C)  5 
D)  10

Question 13

Simplify.
-$-\sqrt[3]{125}$

Accepted Answer

A)  -5 
B)  -50 
C)  -15 
D)  -25 
A)  -5 
B)  -50 
C)  -15 
D)  -25

Question 14

Complete.
-18 pt = ____cups

Accepted Answer

A)  9 
B)  144 
C)  72 
D)  36 
A)  9 
B)  144 
C)  72 
D)  36

Question 15

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
-$(\mathrm{p}, 0)$ and $(0, \mathrm{y})$

Accepted Answer

A)  $p^{2}+y^{2}$ 
B)  $\sqrt{\mathrm{p}^{2}+\mathrm{y}^{2}}$ 
C)  $\sqrt{\mathrm{p}^{2}-\mathrm{y}^{2}}$ 
D)  $\sqrt{p+y}$ 
A)  $p^{2}+y^{2}$ 
B)  $\sqrt{\mathrm{p}^{2}+\mathrm{y}^{2}}$ 
C)  $\sqrt{\mathrm{p}^{2}-\mathrm{y}^{2}}$ 
D)  $\sqrt{p+y}$

Question 16

Solve.
-A consumer wants to purchase $1.5 \mathrm{~L}$ of antibacterial liquid hand soap. The bottles on the store shelf hold $16 \mathrm{oz}, 32 \mathrm{oz}, 48 \mathrm{oz}$, and $64 \mathrm{oz}$. Which bottle comes closest to containing the desired quantity? $(1 \mathrm{qt}=32 \mathrm{oz})$

Accepted Answer

A)  $64 \mathrm{oz}$ 
B)  $48 \mathrm{oz}$ 
C)  $16 \mathrm{oz}$ 
D)  $32 \mathrm{oz}$ 
A)  $64 \mathrm{oz}$ 
B)  $48 \mathrm{oz}$ 
C)  $16 \mathrm{oz}$ 
D)  $32 \mathrm{oz}$

Question 17

Find the following. Assume that letters can represent any real number.
-$\sqrt[4]{x^{4}}$

Accepted Answer

A)  $x$ 
B)  $x^{2}$ 
C)  $|x|$ 
D)  Not a real number 
A)  $x$ 
B)  $x^{2}$ 
C)  $|x|$ 
D)  Not a real number

Question 18

Solve. Provide answers in interval notation.
-$x^{2}-4 x \leq-3$

Accepted Answer

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

Question 19

Find the intersection.
-$\{a, e, i, o, u\} \cap\{x, m, f, s, k\}$

Accepted Answer

A)  $\varnothing$ 
B)  $\{0\}$ 
C)  $\{s\}$ 
D)  $\{\mathrm{f}\}$ 
A)  $\varnothing$ 
B)  $\{0\}$ 
C)  $\{s\}$ 
D)  $\{\mathrm{f}\}$

Question 20

Determine whether the complex number is a solution of the equation.
-$6+i$;
$x^{2}-12 x+37=0$

Accepted Answer

A) True 
 B)False

Find an equation of the line having the given slope and containing the given point. - $\mathrm{m}=-\frac{2}{3},(4,3)$

Express in terms of i. - $\sqrt{-400}$

Find an equation of the line having the given slope and containing the given point. - $\mathrm{m}=0,(-10,-2)$

Identify the radicand. - $5 x \sqrt{y-2}$

Rewrite with positive exponents, and simplify, if possible. - $5^{-1 / 3} \mathrm{ax}^{-4 / 5} \mathrm{z}^{5}$

Find an equation of the line having the given slope and containing the given point. - $\mathrm{m}=9,(0,6)$

Complete. -14.6 g = ____ kg

Use a calculator to approximate to three decimal places. - $\sqrt{0.000163}$

Divide and simplify to the form $a+b i$ . - $\frac{7-6 i}{5-8 i}$

Complete. -953 mL =____ L

Write interval notation for the graph. -

Complete. - $2 \frac{1}{2} \mathrm{pt}=$ ___ cups

Simplify. - $-\sqrt[3]{125}$

Complete. -18 pt = ____cups

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places. - $(\mathrm{p}, 0)$ and $(0, \mathrm{y})$

Solve. -A consumer wants to purchase $1.5 \mathrm{~L}$ of antibacterial liquid hand soap. The bottles on the store shelf hold $16 \mathrm{oz}, 32 \mathrm{oz}, 48 \mathrm{oz}$ , and $64 \mathrm{oz}$ . Which bottle comes closest to containing the desired quantity? $(1 \mathrm{qt}=32 \mathrm{oz})$

Find the following. Assume that letters can represent any real number. - $\sqrt[4]{x^{4}}$

Solve. Provide answers in interval notation. - $x^{2}-4 x \leq-3$

Find the intersection. - $\{a, e, i, o, u\} \cap\{x, m, f, s, k\}$

Determine whether the complex number is a solution of the equation. - $6+i$ ; $x^{2}-12 x+37=0$

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Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

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Polynomials: Operations

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Exam 16: Converting Units of Measurement

Find an equation of the line having the given slope and containing the given point. - m=−23,(4,3)\mathrm{m}=-\frac{2}{3},(4,3)m=−32​,(4,3)

Express in terms of i. - −400\sqrt{-400}−400​

Find an equation of the line having the given slope and containing the given point. - m=0,(−10,−2)\mathrm{m}=0,(-10,-2)m=0,(−10,−2)

Identify the radicand. - 5xy−25 x \sqrt{y-2}5xy−2​

Rewrite with positive exponents, and simplify, if possible. - 5−1/3ax−4/5z55^{-1 / 3} \mathrm{ax}^{-4 / 5} \mathrm{z}^{5}5−1/3ax−4/5z5

Find an equation of the line having the given slope and containing the given point. - m=9,(0,6)\mathrm{m}=9,(0,6)m=9,(0,6)