Question 1

Rewrite without rational exponents, and simplify, if possible.
-$\left(x^{8} y^{8}\right)^{1 / 9}$

Accepted Answer

A)  $\sqrt[9]{x^{8} y^{8}}$ 
B)  $\frac{1}{\sqrt[9]{x^{8} y^{8}}}$ 
C)  $x^{72} y^{72}$ 
D)  $\sqrt[8]{x^{9} y^{8}}$ 
A)  $\sqrt[9]{x^{8} y^{8}}$ 
B)  $\frac{1}{\sqrt[9]{x^{8} y^{8}}}$ 
C)  $x^{72} y^{72}$ 
D)  $\sqrt[8]{x^{9} y^{8}}$

Question 2

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

Accepted Answer

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

Question 3

Express in terms of i.
-$4-\sqrt{-80}$

Accepted Answer

A)  $4+4 \mathrm{i} \sqrt{5}$ 
B)  $-4+4$ i 
C)  $4+4 \sqrt{5}$ 
D)  $4-4 \mathrm{i} \sqrt{5}$ 
A)  $4+4 \mathrm{i} \sqrt{5}$ 
B)  $-4+4$ i 
C)  $4+4 \sqrt{5}$ 
D)  $4-4 \mathrm{i} \sqrt{5}$

Question 4

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.
-$66^{\circ} \mathrm{F}$

Accepted Answer

A)  $18.9^{\circ} \mathrm{C}$ 
B)  $86.8^{\circ} \mathrm{C}$ 
C)  $4.7^{\circ} \mathrm{C}$ 
D)  $150.8^{\circ} \mathrm{C}$ 
A)  $18.9^{\circ} \mathrm{C}$ 
B)  $86.8^{\circ} \mathrm{C}$ 
C)  $4.7^{\circ} \mathrm{C}$ 
D)  $150.8^{\circ} \mathrm{C}$

Question 5

Find the midpoint of the segment with the given endpoints.
-$\left(\frac{7}{2}, \frac{7}{2}\right)$ and $\left(-\frac{7}{2},-\frac{5}{2}\right)$

Accepted Answer

A)  $\left(0, \frac{1}{2}\right)$ 
B)  $(196,144)$ 
C)  $\left(\frac{7}{2}, 3\right)$ 
D)  $(0,4)$ 
A)  $\left(0, \frac{1}{2}\right)$ 
B)  $(196,144)$ 
C)  $\left(\frac{7}{2}, 3\right)$ 
D)  $(0,4)$

Question 6

Solve.
-A physician orders $0.4 \mathrm{mg}$ of a medication to be taken once daily. How many micrograms of medication are there in the daily dose?

Accepted Answer

A)  $0.004 \mathrm{mcg}$ 
B)  $0.0004 \mathrm{mcg}$ 
C)  $400 \mathrm{mcg}$ 
D)  $40 \mathrm{mcg}$ 
A)  $0.004 \mathrm{mcg}$ 
B)  $0.0004 \mathrm{mcg}$ 
C)  $400 \mathrm{mcg}$ 
D)  $40 \mathrm{mcg}$

Question 7

Complete.
-39 kg = ____g

Accepted Answer

A)  3900 
B)  0.039 
C)  39,000 
D)  0.39 
A)  3900 
B)  0.039 
C)  39,000 
D)  0.39

Question 8

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.
-$77^{\circ} \mathrm{F}$

Accepted Answer

A)  $25.0^{\circ} \mathrm{C}$ 
B)  $35.0^{\circ} \mathrm{C}$ 
C)  $170.6^{\circ} \mathrm{C}$ 
D)  $10.8^{\circ} \mathrm{C}$ 
A)  $25.0^{\circ} \mathrm{C}$ 
B)  $35.0^{\circ} \mathrm{C}$ 
C)  $170.6^{\circ} \mathrm{C}$ 
D)  $10.8^{\circ} \mathrm{C}$

Question 9

Solve. Provide answers in interval notation.
-$(a-1)(a-3)(a-6)>0$

Accepted Answer

A)  $(-\infty, 1) \cup(3,6)$ 
B)  $(-\infty, 3)$ 
C)  $(6, \infty)$ 
D)  $(1,3) \cup(6, \infty)$ 
A)  $(-\infty, 1) \cup(3,6)$ 
B)  $(-\infty, 3)$ 
C)  $(6, \infty)$ 
D)  $(1,3) \cup(6, \infty)$

Question 10

Solve.
-$5 x^{2}-3 x+6=0$

Accepted Answer

A)  $\frac{3}{10} \pm \frac{\sqrt{111}}{10} \mathrm{i}$ 
B)  $-\frac{3}{10} \pm \frac{\sqrt{111}}{10} \mathrm{i}$ 
C)  $-\frac{3}{10} \pm \frac{\sqrt{111}}{10}$ 
D)  $\frac{3}{10} \pm \frac{\sqrt{111}}{10}$ 
A)  $\frac{3}{10} \pm \frac{\sqrt{111}}{10} \mathrm{i}$ 
B)  $-\frac{3}{10} \pm \frac{\sqrt{111}}{10} \mathrm{i}$ 
C)  $-\frac{3}{10} \pm \frac{\sqrt{111}}{10}$ 
D)  $\frac{3}{10} \pm \frac{\sqrt{111}}{10}$

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

Rewrite with rational exponents.
-$\sqrt{\mathrm{x}^{3}}$

Accepted Answer

A)  $-x^{2 / 3}$ 
B)  $x^{3 / 2}$ 
C)  $x^{-3 / 2}$ 
D)  $x^{-2 / 3}$ 
A)  $-x^{2 / 3}$ 
B)  $x^{3 / 2}$ 
C)  $x^{-3 / 2}$ 
D)  $x^{-2 / 3}$

Question 13

Divide and simplify to the form $a+b i$.
-$\frac{-2 \mathrm{i}}{7+8 \mathrm{i}}$

Accepted Answer

A)  $-\frac{16}{113}-\frac{14}{113} \mathrm{i}$ 
B)  $\frac{16}{113}-\frac{14}{113} \mathrm{i}$ 
C)  $\frac{16}{15}+\frac{14}{15} \mathrm{i}$ 
D)  $-\frac{16}{15}+\frac{14}{15} \mathrm{i}$ 
A)  $-\frac{16}{113}-\frac{14}{113} \mathrm{i}$ 
B)  $\frac{16}{113}-\frac{14}{113} \mathrm{i}$ 
C)  $\frac{16}{15}+\frac{14}{15} \mathrm{i}$ 
D)  $-\frac{16}{15}+\frac{14}{15} \mathrm{i}$

Question 14

Solve.
-Roger agreed to 7 years of car payments. He has been making payments for $5 \mathrm{yr}$ and $3 \mathrm{mo}$. How much longer does he have to keep making payments?

Accepted Answer

A)  $1 \mathrm{yr}$ 
B)  1 yr 2 mo 
C)  1 yr $3 \mathrm{mo}$ 
D)  1 yr $9 \mathrm{mo}$ 
A)  $1 \mathrm{yr}$ 
B)  1 yr 2 mo 
C)  1 yr $3 \mathrm{mo}$ 
D)  1 yr $9 \mathrm{mo}$

Question 15

Solve. Provide answers in interval notation.
-$(\mathrm{c}+8)(\mathrm{c}-1)(\mathrm{c}-5)>0$

Accepted Answer

A)  $(-\infty, 1)$ 
B)  $(5, \infty)$ 
C)  $(-\infty,-8) \cup(1,5)$ 
D)  $(-8,1) \cup(5, \infty)$ 
A)  $(-\infty, 1)$ 
B)  $(5, \infty)$ 
C)  $(-\infty,-8) \cup(1,5)$ 
D)  $(-8,1) \cup(5, \infty)$

Question 16

Find the midpoint of the segment with the given endpoints.
-$(-1,-6)$ and $(8,7)$

Accepted Answer

A)  $(-9,-13)$ 
B)  $\left(-\frac{9}{2},-\frac{13}{2}\right)$ 
C)  $\left(\frac{7}{2}, \frac{1}{2}\right)$ 
D)  $(7,1)$ 
A)  $(-9,-13)$ 
B)  $\left(-\frac{9}{2},-\frac{13}{2}\right)$ 
C)  $\left(\frac{7}{2}, \frac{1}{2}\right)$ 
D)  $(7,1)$

Question 17

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

Accepted Answer

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

Question 18

Use the laws of exponents to simplify. Write the answer with positive exponents.
-$x^{1 / 7} \cdot x^{6 / 7}$

Accepted Answer

A)  $\frac{1}{x}$ 
B)  $x^{6 / 7}$ 
C)  $x^{6 / 49}$ 
D)  $x$ 
A)  $\frac{1}{x}$ 
B)  $x^{6 / 7}$ 
C)  $x^{6 / 49}$ 
D)  $x$

Question 19

Solve.
-A physician prescribes 5 grams of an antibiotic per day. How many $500 \mathrm{mg}$ tablets would have to be taken in order to achieve this daily dosage?

Accepted Answer

A)  1 tablets 
B)  2.5 tablets 
C)  10 tablets 
D)  25 tablets 
A)  1 tablets 
B)  2.5 tablets 
C)  10 tablets 
D)  25 tablets

Question 20

Complete.
-2 kg = ____cg

Accepted Answer

A)  20,000 
B)  0.00002 
C)  200,000 
D)  $2,000,000$ 
A)  20,000 
B)  0.00002 
C)  200,000 
D)  $2,000,000$

Rewrite without rational exponents, and simplify, if possible. - $\left(x^{8} y^{8}\right)^{1 / 9}$

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

Express in terms of i. - $4-\sqrt{-80}$

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. - $66^{\circ} \mathrm{F}$

Find the midpoint of the segment with the given endpoints. - $\left(\frac{7}{2}, \frac{7}{2}\right)$ and $\left(-\frac{7}{2},-\frac{5}{2}\right)$

Solve. -A physician orders $0.4 \mathrm{mg}$ of a medication to be taken once daily. How many micrograms of medication are there in the daily dose?

Complete. -39 kg = ____g

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. - $77^{\circ} \mathrm{F}$

Solve. Provide answers in interval notation. - $(a-1)(a-3)(a-6)>0$

Solve. - $5 x^{2}-3 x+6=0$

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

Rewrite with rational exponents. - $\sqrt{\mathrm{x}^{3}}$

Divide and simplify to the form $a+b i$ . - $\frac{-2 \mathrm{i}}{7+8 \mathrm{i}}$

Solve. -Roger agreed to 7 years of car payments. He has been making payments for $5 \mathrm{yr}$ and $3 \mathrm{mo}$ . How much longer does he have to keep making payments?

Solve. Provide answers in interval notation. - $(\mathrm{c}+8)(\mathrm{c}-1)(\mathrm{c}-5)>0$

Find the midpoint of the segment with the given endpoints. - $(-1,-6)$ and $(8,7)$

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

Use the laws of exponents to simplify. Write the answer with positive exponents. - $x^{1 / 7} \cdot x^{6 / 7}$

Solve. -A physician prescribes 5 grams of an antibiotic per day. How many $500 \mathrm{mg}$ tablets would have to be taken in order to achieve this daily dosage?

Complete. -2 kg = ____cg

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Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

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Exam 16: Converting Units of Measurement

Rewrite without rational exponents, and simplify, if possible. - (x8y8)1/9\left(x^{8} y^{8}\right)^{1 / 9}(x8y8)1/9