Question 1

Find an equation of the line containing the given pair of points
-$(9,-46)$ and $(4,-16)$

Accepted Answer

A)  $y=-\frac{1}{6} x-\frac{89}{2}$ 
B)  $y=6 x-100$ 
C)  $y=-6 x+8$ 
D)  $y=\frac{1}{6} x-\frac{95}{2}$ 
A)  $y=-\frac{1}{6} x-\frac{89}{2}$ 
B)  $y=6 x-100$ 
C)  $y=-6 x+8$ 
D)  $y=\frac{1}{6} x-\frac{95}{2}$

Question 2

Solve and graph. Write the result in interval notation.
-

Accepted Answer

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

Question 3

Solve. Provide answers in interval notation.
-$49-x^{2} \geq 0$

Accepted Answer

A)  $[0,7]$ 
B)  $[-7,7]$ 
C)  $(\infty,-7] \cup[7, \infty)$ 
D)  $(-7,7)$ 
A)  $[0,7]$ 
B)  $[-7,7]$ 
C)  $(\infty,-7] \cup[7, \infty)$ 
D)  $(-7,7)$

Question 4

Rewrite with positive exponents, and simplify, if possible.
-$\left(\frac{3 x z}{4 y}\right)^{-5 / 6}$

Accepted Answer

A)  $\left(\frac{4 y}{3 x z}\right)^{6 / 5}$ 
B)  $\left(\frac{4 y}{3 x z}\right)^{5 / 6}$ 
C)  $\left(\frac{3 x z}{4 y}\right)^{6 / 5}$ 
D)  $\frac{3 x z}{4 y}$ 
A)  $\left(\frac{4 y}{3 x z}\right)^{6 / 5}$ 
B)  $\left(\frac{4 y}{3 x z}\right)^{5 / 6}$ 
C)  $\left(\frac{3 x z}{4 y}\right)^{6 / 5}$ 
D)  $\frac{3 x z}{4 y}$

Question 5

Complete.
-$13,149 \mathrm{wk}=$ ___ yr

Accepted Answer

A)  252.87 
B)  252 
C)  683,748 
D)  36.02 
A)  252.87 
B)  252 
C)  683,748 
D)  36.02

Question 6

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

Accepted Answer

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

Question 7

Identify the radicand.
-$s^{2} t \sqrt{\frac{s}{s-2 t}}$

Accepted Answer

A)  $\frac{s}{s-2 t}$ 
B)  $s^{2} t$ 
C)  $\sqrt{\frac{s}{s-2 t}}$ 
D)  $\left(s^{2} t\right) \frac{s}{s-2 t}$ 
A)  $\frac{s}{s-2 t}$ 
B)  $s^{2} t$ 
C)  $\sqrt{\frac{s}{s-2 t}}$ 
D)  $\left(s^{2} t\right) \frac{s}{s-2 t}$

Question 8

Find the following. Assume that letters can represent any real number.
-$\sqrt[5]{(x-9)^{5}}$

Accepted Answer

A)  $9-x$ 
B)  $x-9$ 
C)  $|x|-9$ 
D)  $|x-9|$ 
A)  $9-x$ 
B)  $x-9$ 
C)  $|x|-9$ 
D)  $|x-9|$

Question 9

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

Accepted Answer

A)  -8 
B)  $-8 \mathrm{i}$ 
C)  $8 \mathrm{i}$ 
D)  8 
A)  -8 
B)  $-8 \mathrm{i}$ 
C)  $8 \mathrm{i}$ 
D)  8

Question 10

Classify the statement as true or false.
-The set of rational numbers $\subseteq$ The set of whole numbers

Accepted Answer

A) True 
 B)False

Question 11

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
-$(-291,1292)$ and $(977,-436)$

Accepted Answer

A)  $\sqrt{1,203,332} \approx 1096.965$ 
B)  $\sqrt{4,593,808} \approx 2143.317$ 
C)  $\sqrt{2,340,560} \approx 1529.889$ 
D)  $\sqrt{3,456,580} \approx 1859.188$ 
A)  $\sqrt{1,203,332} \approx 1096.965$ 
B)  $\sqrt{4,593,808} \approx 2143.317$ 
C)  $\sqrt{2,340,560} \approx 1529.889$ 
D)  $\sqrt{3,456,580} \approx 1859.188$

Question 12

Simplify.
-$\sqrt{0.09}$

Accepted Answer

A)  3 
B)  0.3 
C)  0.003 
D)  0.03 
A)  3 
B)  0.3 
C)  0.003 
D)  0.03

Question 13

Identify the radicand.
-$\mathrm{xy}^{2} \sqrt{\frac{1}{\mathrm{x}+5}}$

Accepted Answer

A)  $\frac{1}{x+5}$ 
B)  $x y^{2}$ 
C)  $\sqrt{\frac{1}{x+5}}$ 
D)  $x+5$ 
A)  $\frac{1}{x+5}$ 
B)  $x y^{2}$ 
C)  $\sqrt{\frac{1}{x+5}}$ 
D)  $x+5$

Question 14

Convert to Fahrenheit. Use the formula $\mathrm{F}=\frac{9}{5} \mathrm{C}+32$ or $\mathrm{F}=1.8 \mathrm{C}+32$. Round your answer to the nearest tenth if necessary.
-$81^{\circ} \mathrm{C}$

Accepted Answer

A)  $203.4^{\circ} \mathrm{F}$ 
B)  $177.8^{\circ} \mathrm{F}$ 
C)  $77.0^{\circ} \mathrm{F}$ 
D)  $61.3^{\circ} \mathrm{F}$ 
A)  $203.4^{\circ} \mathrm{F}$ 
B)  $177.8^{\circ} \mathrm{F}$ 
C)  $77.0^{\circ} \mathrm{F}$ 
D)  $61.3^{\circ} \mathrm{F}$

Question 15

Use a calculator to approximate to three decimal places.
-$\sqrt{197}$

Accepted Answer

A)  14.036 
B)  14.051 
C)  14 
D)  14.023 
A)  14.036 
B)  14.051 
C)  14 
D)  14.023

Question 16

Find the following. Assume that the letter can represent any real number.
-$\sqrt{(-14 y)^{2}}$

Accepted Answer

A)  $14|y|$ 
B)  $14 \mathrm{y}$ 
C)  $-14|y|$ 
D)  $196|\mathrm{y}|$ 
A)  $14|y|$ 
B)  $14 \mathrm{y}$ 
C)  $-14|y|$ 
D)  $196|\mathrm{y}|$

Question 17

Simplify to the form $a+b i$.
-$\frac{\sqrt{-49}+7 \mathrm{i}^{9}}{7}$

Accepted Answer

A)  $2 \mathrm{i}$ 
B)  i 
C)  $-\mathrm{i}$ 
D)  $-2 \mathrm{i}$ 
A)  $2 \mathrm{i}$ 
B)  i 
C)  $-\mathrm{i}$ 
D)  $-2 \mathrm{i}$

Question 18

Complete.
-8 in. $=$ ____$\mathrm{cm}$ (Round to the nearest hundredth.)

Accepted Answer

A)  0.67 
B)  3.15 
C)  20.32 
D)  26.40 
A)  0.67 
B)  3.15 
C)  20.32 
D)  26.40

Question 19

Write interval notation.
-$\{x \mid x>-7\}$

Accepted Answer

A)  $(-\infty,-7]$ 
B)  $(-7, \infty)$ 
C)  $(-\infty,-7)$ 
D)  $[-7, \infty)$ 
A)  $(-\infty,-7]$ 
B)  $(-7, \infty)$ 
C)  $(-\infty,-7)$ 
D)  $[-7, \infty)$

Question 20

Convert to Celsius. Use the formula $\mathrm{C}=\frac{5}{9}(\mathrm{~F}-32)$ or $\mathrm{C}=\frac{\mathrm{F}-32}{1.8}$. Round your answer to the nearest tenth if necessary.
-$21^{\circ} \mathrm{F}$

Accepted Answer

A)  $69.8^{\circ} \mathrm{C}$ 
B)  $-6.1^{\circ} \mathrm{C}$ 
C)  $20.3^{\circ} \mathrm{C}$ 
D)  $5.8^{\circ} \mathrm{C}$ 
A)  $69.8^{\circ} \mathrm{C}$ 
B)  $-6.1^{\circ} \mathrm{C}$ 
C)  $20.3^{\circ} \mathrm{C}$ 
D)  $5.8^{\circ} \mathrm{C}$

Find an equation of the line containing the given pair of points - $(9,-46)$ and $(4,-16)$

Solve and graph. Write the result in interval notation. -

Solve. Provide answers in interval notation. - $49-x^{2} \geq 0$

Rewrite with positive exponents, and simplify, if possible. - $\left(\frac{3 x z}{4 y}\right)^{-5 / 6}$

Complete. - $13,149 \mathrm{wk}=$ ___ yr

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

Identify the radicand. - $s^{2} t \sqrt{\frac{s}{s-2 t}}$

Find the following. Assume that letters can represent any real number. - $\sqrt[5]{(x-9)^{5}}$

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

Classify the statement as true or false. -The set of rational numbers $\subseteq$ The set of whole numbers

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places. - $(-291,1292)$ and $(977,-436)$

Simplify. - $\sqrt{0.09}$

Identify the radicand. - $\mathrm{xy}^{2} \sqrt{\frac{1}{\mathrm{x}+5}}$

Convert to Fahrenheit. Use the formula $\mathrm{F}=\frac{9}{5} \mathrm{C}+32$ or $\mathrm{F}=1.8 \mathrm{C}+32$ . Round your answer to the nearest tenth if necessary. - $81^{\circ} \mathrm{C}$

Use a calculator to approximate to three decimal places. - $\sqrt{197}$

Find the following. Assume that the letter can represent any real number. - $\sqrt{(-14 y)^{2}}$

Simplify to the form $a+b i$ . - $\frac{\sqrt{-49}+7 \mathrm{i}^{9}}{7}$

Complete. -8 in. $=$ ____ $\mathrm{cm}$ (Round to the nearest hundredth.)

Write interval notation. - $\{x \mid x>-7\}$

Convert to Celsius. Use the formula $\mathrm{C}=\frac{5}{9}(\mathrm{~F}-32)$ or $\mathrm{C}=\frac{\mathrm{F}-32}{1.8}$ . Round your answer to the nearest tenth if necessary. - $21^{\circ} \mathrm{F}$

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

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Filters

Exam 16: Converting Units of Measurement

Find an equation of the line containing the given pair of points - (9,−46)(9,-46)(9,−46) and (4,−16)(4,-16)(4,−16)

Solve and graph. Write the result in interval notation. -

Solve. Provide answers in interval notation. - 49−x2≥049-x^{2} \geq 049−x2≥0

Rewrite with positive exponents, and simplify, if possible. - (3xz4y)−5/6\left(\frac{3 x z}{4 y}\right)^{-5 / 6}(4y3xz​)−5/6

Complete. - 13,149wk=13,149 \mathrm{wk}=13,149wk= ___ yr

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

Identify the radicand. - s2tss−2ts^{2} t \sqrt{\frac{s}{s-2 t}}s2ts−2ts​​

Find the following. Assume that letters can represent any real number. - (x−9)55\sqrt[5]{(x-9)^{5}}5(x−9)5​

Simplify. - (−2i)3(-2 \mathrm{i})^{3}(−2i)3

Classify the statement as true or false. -The set of rational numbers ⊆\subseteq⊆ The set of whole numbers

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places. - (−291,1292)(-291,1292)(−291,1292) and (977,−436)(977,-436)(977,−436)

Simplify. - 0.09\sqrt{0.09}0.09​

Identify the radicand. - xy21x+5\mathrm{xy}^{2} \sqrt{\frac{1}{\mathrm{x}+5}}xy2x+51​​

Convert to Fahrenheit. Use the formula F=95C+32\mathrm{F}=\frac{9}{5} \mathrm{C}+32F=59​C+32 or F=1.8C+32\mathrm{F}=1.8 \mathrm{C}+32F=1.8C+32 . Round your answer to the nearest tenth if necessary. - 81∘C81^{\circ} \mathrm{C}81∘C

Use a calculator to approximate to three decimal places. - 197\sqrt{197}197​

Find the following. Assume that the letter can represent any real number. - (−14y)2\sqrt{(-14 y)^{2}}(−14y)2​

Simplify to the form a+bia+b ia+bi . - −49+7i97\frac{\sqrt{-49}+7 \mathrm{i}^{9}}{7}7−49​+7i9​

Complete. -8 in. === ____ cm\mathrm{cm}cm (Round to the nearest hundredth.)

Write interval notation. - {x∣x>−7}\{x \mid x>-7\}{x∣x>−7}

Convert to Celsius. Use the formula C=59( F−32)\mathrm{C}=\frac{5}{9}(\mathrm{~F}-32)C=95​( F−32) or C=F−321.8\mathrm{C}=\frac{\mathrm{F}-32}{1.8}C=1.8F−32​ . Round your answer to the nearest tenth if necessary. - 21∘F21^{\circ} \mathrm{F}21∘F