Question 1

Complete.
-1.674 dg = ____ g

Accepted Answer

A)  16.74 
B)  0.1674 
C)  0.01674 
D)  167.4 
A)  16.74 
B)  0.1674 
C)  0.01674 
D)  167.4

Question 2

Solve. Provide answers in interval notation.
-$x^{2}+5 x-6>0$

Accepted Answer

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

Question 3

Find the following. Assume that the letter can represent any real number.
-$\sqrt{(7 y-3)^{2}}$

Accepted Answer

A)  $\left|49 y^{2}-42 y+9\right|$ 
B)  $|7 y|-3$ 
C)  $|7 y-3|$ 
D)  $49 y^{2}-42 y+9$ 
A)  $\left|49 y^{2}-42 y+9\right|$ 
B)  $|7 y|-3$ 
C)  $|7 y-3|$ 
D)  $49 y^{2}-42 y+9$

Question 4

Rewrite with rational exponents.
-$\sqrt[7]{m n}$

Accepted Answer

A)  $\frac{1}{(\mathrm{mn})^{7}}$ 
B)  $(\mathrm{mn})^{1 / 7}$ 
C)  $m^{1 / 7} n$ 
D)  $\mathrm{mn}^{1 / 7}$ 
A)  $\frac{1}{(\mathrm{mn})^{7}}$ 
B)  $(\mathrm{mn})^{1 / 7}$ 
C)  $m^{1 / 7} n$ 
D)  $\mathrm{mn}^{1 / 7}$

Question 5

Solve.
-Maha checked the outside temperature at noon one day and found it was $26^{\circ} \mathrm{C}$. At $10 \mathrm{PM}$ when he checked, the outside temperature was $20^{\circ} \mathrm{C}$. How much, in degrees Fahrenheit, did the temperature drop between noon and 10 PM? Round your answer to the nearest tenth.

Accepted Answer

A)  $10.8^{\circ}$ 
B)  $-21.2^{\circ}$ 
C)  $3.33^{\circ}$ 
D)  $-10.8^{\circ}$ 
A)  $10.8^{\circ}$ 
B)  $-21.2^{\circ}$ 
C)  $3.33^{\circ}$ 
D)  $-10.8^{\circ}$

Question 6

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

Accepted Answer

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

Question 7

Find the midpoint of the segment with the given endpoints.
-$(\sqrt{6},-5)$ and $(\sqrt{5}, 1)$

Accepted Answer

A)  $\left(\frac{\sqrt{6}+\sqrt{5}}{2},-2\right)$ 
B)  $\left(-2, \frac{\sqrt{6}+\sqrt{5}}{2}\right)$ 
C)  $\left(\frac{\sqrt{6}+\sqrt{5}}{2},-3\right)$ 
D)  $\left(-3, \frac{\sqrt{6}+\sqrt{5}}{2}\right)$ 
A)  $\left(\frac{\sqrt{6}+\sqrt{5}}{2},-2\right)$ 
B)  $\left(-2, \frac{\sqrt{6}+\sqrt{5}}{2}\right)$ 
C)  $\left(\frac{\sqrt{6}+\sqrt{5}}{2},-3\right)$ 
D)  $\left(-3, \frac{\sqrt{6}+\sqrt{5}}{2}\right)$

Question 8

Simplify to the form $a+b i$.
-$95-7 \mathrm{i}^{201}$

Accepted Answer

A)  88 
B)  102 
C)  $95+7 \mathrm{i}$ 
D)  $95-7 \mathrm{i}$ 
A)  88 
B)  102 
C)  $95+7 \mathrm{i}$ 
D)  $95-7 \mathrm{i}$

Question 9

Rewrite without rational exponents, and simplify, if possible.
-$\left(9 y^{6}\right)^{3 / 2}$

Accepted Answer

A)  $27 y^{3 / 2}$ 
B)  $9 y^{18}$ 
C)  $27 y^{9}$ 
D)  $27^{14}$ 
A)  $27 y^{3 / 2}$ 
B)  $9 y^{18}$ 
C)  $27 y^{9}$ 
D)  $27^{14}$

Question 10

Solve.
-A certain drug comes in 1500 -mg pills. How many of these pills do you have to take to get a dosage of half a gram?

Accepted Answer

A)  $\frac{1}{3}$ pill 
B)  3 pills 
C)  4 pills 
D)  $\frac{1}{6}$ pill 
A)  $\frac{1}{3}$ pill 
B)  3 pills 
C)  4 pills 
D)  $\frac{1}{6}$ pill

Question 11

Complete.
-$88,200 \mathrm{~min}=$ ____wk

Accepted Answer

A)  8.75 
B)  875 
C)  61.25 
D)  525 
A)  8.75 
B)  875 
C)  61.25 
D)  525

Question 12

Solve.
-$|t-9|=0$

Accepted Answer

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

Question 13

Write interval notation.
-$\{x \mid-4 \leq x<0\}$

Accepted Answer

A)  $(-4,0)$ 
B)  $[-4,0)$ 
C)  $[-4,0]$ 
D)  $(-4,0]$ 
A)  $(-4,0)$ 
B)  $[-4,0)$ 
C)  $[-4,0]$ 
D)  $(-4,0]$

Question 14

Use a calculator to approximate to three decimal places.
-$\sqrt{\frac{280.5}{71}}$

Accepted Answer

A)  1.988 
B)  3.951 
C)  -0.012 
D)  1189.118 
A)  1.988 
B)  3.951 
C)  -0.012 
D)  1189.118

Question 15

Complete.
-$3 \mathrm{mi}=$ ____yd

Accepted Answer

A)  5280 
B)  3000 
C)  $\frac{3}{1760}$ 
D)  15,840 
A)  5280 
B)  3000 
C)  $\frac{3}{1760}$ 
D)  15,840

Question 16

Classify the statement as true or false.
-$10 \in\{4,6,8,10\}$

Accepted Answer

A) True 
 B)False

Question 17

Solve.
-A consumer wants to purchase $2 \mathrm{~L}$ of antibacterial liquid hand soap. The bottles on the store shelf hold $32 \mathrm{oz}, 48 \mathrm{oz}, 64 \mathrm{oz}$, and $96 \mathrm{oz}$. Which bottle comes closest to containing the desired quantity? $(1 \mathrm{qt}=32 \mathrm{oz})$

Accepted Answer

A)  $96 \mathrm{oz}$ 
B)  $48 \mathrm{oz}$ 
C)  $32 \mathrm{oz}$ 
D)  $64 \mathrm{oz}$ 
A)  $96 \mathrm{oz}$ 
B)  $48 \mathrm{oz}$ 
C)  $32 \mathrm{oz}$ 
D)  $64 \mathrm{oz}$

Question 18

Complete.
-$7040 \mathrm{yd}=$____ $\mathrm{mi}$

Accepted Answer

A)  $1 \frac{1}{3}$ 
B)  21,120 
C)  4 
D)  $7 \frac{1}{25}$ 
A)  $1 \frac{1}{3}$ 
B)  21,120 
C)  4 
D)  $7 \frac{1}{25}$

Question 19

Factor.
-$n^{3}-\frac{1}{512}$

Accepted Answer

A)  $\left(n-\frac{1}{64}\right)\left(n^{2}+\frac{1}{8} n+\frac{1}{8}\right)$ 
B)  $\left(n+\frac{1}{64}\right)\left(n^{2}-\frac{1}{8} n+\frac{1}{8}\right)$ 
C)  $\left(n+\frac{1}{8}\right)\left(n^{2}-\frac{1}{8} n+\frac{1}{64}\right)$ 
D)  $\left(n-\frac{1}{8}\right)\left(\left(n^{2}+\frac{1}{8} n+\frac{1}{64}\right)\right.$ 
A)  $\left(n-\frac{1}{64}\right)\left(n^{2}+\frac{1}{8} n+\frac{1}{8}\right)$ 
B)  $\left(n+\frac{1}{64}\right)\left(n^{2}-\frac{1}{8} n+\frac{1}{8}\right)$ 
C)  $\left(n+\frac{1}{8}\right)\left(n^{2}-\frac{1}{8} n+\frac{1}{64}\right)$ 
D)  $\left(n-\frac{1}{8}\right)\left(\left(n^{2}+\frac{1}{8} n+\frac{1}{64}\right)\right.$

Question 20

Write interval notation.
-$\{x \mid x \leq 3\}$

Accepted Answer

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

Complete. -1.674 dg = ____ g

Solve. Provide answers in interval notation. - $x^{2}+5 x-6>0$

Find the following. Assume that the letter can represent any real number. - $\sqrt{(7 y-3)^{2}}$

Rewrite with rational exponents. - $\sqrt[7]{m n}$

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

Find the midpoint of the segment with the given endpoints. - $(\sqrt{6},-5)$ and $(\sqrt{5}, 1)$

Simplify to the form $a+b i$ . - $95-7 \mathrm{i}^{201}$

Rewrite without rational exponents, and simplify, if possible. - $\left(9 y^{6}\right)^{3 / 2}$

Solve. -A certain drug comes in 1500 -mg pills. How many of these pills do you have to take to get a dosage of half a gram?

Complete. - $88,200 \mathrm{~min}=$ ____wk

Solve. - $|t-9|=0$

Write interval notation. - $\{x \mid-4 \leq x<0\}$

Use a calculator to approximate to three decimal places. - $\sqrt{\frac{280.5}{71}}$

Complete. - $3 \mathrm{mi}=$ ____yd

Classify the statement as true or false. - $10 \in\{4,6,8,10\}$

Solve. -A consumer wants to purchase $2 \mathrm{~L}$ of antibacterial liquid hand soap. The bottles on the store shelf hold $32 \mathrm{oz}, 48 \mathrm{oz}, 64 \mathrm{oz}$ , and $96 \mathrm{oz}$ . Which bottle comes closest to containing the desired quantity? $(1 \mathrm{qt}=32 \mathrm{oz})$

Complete. - $7040 \mathrm{yd}=$ ____ $\mathrm{mi}$

Factor. - $n^{3}-\frac{1}{512}$

Write interval notation. - $\{x \mid x \leq 3\}$

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

Complete. -1.674 dg = ____ g

Solve. Provide answers in interval notation. - x2+5x−6>0x^{2}+5 x-6>0x2+5x−6>0

Find the following. Assume that the letter can represent any real number. - (7y−3)2\sqrt{(7 y-3)^{2}}(7y−3)2​

Rewrite with rational exponents. - mn7\sqrt[7]{m n}7mn​