Question 1

Solve.
-Today is Kurt's $23^{\text {th }}$ birthday. How many months has he been alive?

Accepted Answer

A)  $277 \mathrm{mo}$ 
B)  $230 \mathrm{mo}$ 
C)  $207 \mathrm{mo}$ 
D)  $276 \mathrm{mo}$ 
A)  $277 \mathrm{mo}$ 
B)  $230 \mathrm{mo}$ 
C)  $207 \mathrm{mo}$ 
D)  $276 \mathrm{mo}$

Question 2

Rewrite without rational exponents, and simplify, if possible.
-$(16 x)^{7 / 2}$

Accepted Answer

A)  $16,384 \sqrt{x^{14}}$ 
B)  $2 \sqrt{8 x}$ 
C)  $128 \sqrt{x}$ 
D)  $16,384 x^{3} \sqrt{x}$ 
A)  $16,384 \sqrt{x^{14}}$ 
B)  $2 \sqrt{8 x}$ 
C)  $128 \sqrt{x}$ 
D)  $16,384 x^{3} \sqrt{x}$

Question 3

Simplify to the form $a+b i$.
-$\mathrm{i}^{5}+\mathrm{i}^{7}$

Accepted Answer

A)  2 
B)  $2 \mathrm{i}$ 
C)  -2 
D)  0 
A)  2 
B)  $2 \mathrm{i}$ 
C)  -2 
D)  0

Question 4

Find the following. Assume that the letter can represent any real number.
-$\sqrt{z^{2}+10 z+25}$

Accepted Answer

A)  $(z+5)^{2}$ 
B)  $\left|(z+5)^{2}\right|$ 
C)  $|z+5|$ 
D)  $z+5$ 
A)  $(z+5)^{2}$ 
B)  $\left|(z+5)^{2}\right|$ 
C)  $|z+5|$ 
D)  $z+5$

Question 5

Multiply.
-$(-17+13 i)(-17-13 i)$

Accepted Answer

A)  120 
B)  -4 
C)  458 
D)  -30 
A)  120 
B)  -4 
C)  458 
D)  -30

Question 6

Express in terms of i.
-$\sqrt{-164}$

Accepted Answer

A)  $-2 \mathrm{i} \sqrt{41}$ 
B)  $2 \mathrm{i} \sqrt{41}$ 
C)  $-2 \sqrt{41}$ 
D)  $2 \sqrt{41}$ 
A)  $-2 \mathrm{i} \sqrt{41}$ 
B)  $2 \mathrm{i} \sqrt{41}$ 
C)  $-2 \sqrt{41}$ 
D)  $2 \sqrt{41}$

Question 7

Complete.
-$458 \mathrm{~cm}=$____ cm

Accepted Answer

A)  45,800 
B)  45.8 
C)  4.58 
D)  4580 
A)  45,800 
B)  45.8 
C)  4.58 
D)  4580

Question 8

Complete.
-$46 \mathrm{ft}=$ ____yd

Accepted Answer

A)  138 
B)  $3 \frac{5}{6}$ 
C)  552 
D)  $15 \frac{1}{3}$ 
A)  138 
B)  $3 \frac{5}{6}$ 
C)  552 
D)  $15 \frac{1}{3}$

Question 9

Use the laws of exponents to simplify. Write the answer with positive exponents.
-$\frac{8^{1 / 7}}{8^{-13 / 7}}$

Accepted Answer

A)  64 
B)  2 
C)  $8^{1 / 2}$ 
D)  $\frac{1}{8^{12 / 7}}$ 
A)  64 
B)  2 
C)  $8^{1 / 2}$ 
D)  $\frac{1}{8^{12 / 7}}$

Question 10

Write interval notation for the graph.
-

Accepted Answer

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

Question 11

Determine whether the complex number is a solution of the equation.
-$1+3 \mathrm{i}$;
$x^{2}+4 x+4=0$

Accepted Answer

A) True 
 B)False

Question 12

Use the laws of exponents to simplify. Write the answer with positive exponents.
-$\left(b^{5}\right)^{4 / 5}$

Accepted Answer

A)  $b^{4 / 25}$ 
B)  $b^{9 / 5}$ 
C)  $b^{1 / 5}$ 
D)  $b^{4}$ 
A)  $b^{4 / 25}$ 
B)  $b^{9 / 5}$ 
C)  $b^{1 / 5}$ 
D)  $b^{4}$

Question 13

Solve. Provide answers in interval notation.
-$(x+2)(x-5)<0$

Accepted Answer

A)  $(5, \infty)$ 
B)  $(\infty,-2) \cup(5, \infty)$ 
C)  $(\infty,-2)$ 
D)  $(-2,5)$ 
A)  $(5, \infty)$ 
B)  $(\infty,-2) \cup(5, \infty)$ 
C)  $(\infty,-2)$ 
D)  $(-2,5)$

Question 14

Complete.
-$300 \mathrm{~m}=$ ____$\mathrm{km}$

Accepted Answer

A)  0.3 
B)  3 
C)  300,000 
D)  30,000 
A)  0.3 
B)  3 
C)  300,000 
D)  30,000

Question 15

Solve.
-A medical clinic has $0.2 \mathrm{~L}$ of a medication on hand. How many milliliters are on hand?

Accepted Answer

A)  $200 \mathrm{~mL}$ 
B)  $2000 \mathrm{~mL}$ 
C)  $20 \mathrm{~mL}$ 
D)  $2 \mathrm{~mL}$ 
A)  $200 \mathrm{~mL}$ 
B)  $2000 \mathrm{~mL}$ 
C)  $20 \mathrm{~mL}$ 
D)  $2 \mathrm{~mL}$

Question 16

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

Accepted Answer

A)  $|z-7|$ 
B)  $\sqrt{z}-7$ 
C)  $(z-7)^{2}$ 
D)  $|z|-7$ 
A)  $|z-7|$ 
B)  $\sqrt{z}-7$ 
C)  $(z-7)^{2}$ 
D)  $|z|-7$

Question 17

Rewrite with rational exponents.
-$\sqrt[16]{\mathrm{m}^{3}}$

Accepted Answer

A)  $-m^{3 / 16}$ 
B)  $m^{16 / 3}$ 
C)  $m^{3 / 16}$ 
D)  $\frac{1}{(m n)^{16}}$ 
A)  $-m^{3 / 16}$ 
B)  $m^{16 / 3}$ 
C)  $m^{3 / 16}$ 
D)  $\frac{1}{(m n)^{16}}$

Question 18

Solve.
-Andrea's sleeping bag is designed for camping in temperatures of $-7^{\circ} \mathrm{C}$ or warmer. For what Fahrenheit temperatures is her sleeping bag designed? Round to the nearest tenth of a degree.

Accepted Answer

A)  $45.0^{\circ} \mathrm{F}$ or warmer 
B)  $-21.7^{\circ} \mathrm{F}$ or warmer 
C)  $-35.9^{\circ} \mathrm{F}$ or warmer 
D)  $19.4^{\circ} \mathrm{F}$ or warmer 
A)  $45.0^{\circ} \mathrm{F}$ or warmer 
B)  $-21.7^{\circ} \mathrm{F}$ or warmer 
C)  $-35.9^{\circ} \mathrm{F}$ or warmer 
D)  $19.4^{\circ} \mathrm{F}$ or warmer

Question 19

Complete.
-73 mph = ____km/h (Round to the nearest thousandth.)

Accepted Answer

A)  117.457 
B)  40.556 
C)  45.370 
D)  132.057 
A)  117.457 
B)  40.556 
C)  45.370 
D)  132.057

Question 20

Complete.
-$2.9 \mathrm{~L}=\ldots \mathrm{mL}$

Accepted Answer

A)  290 
B)  0.29 
C)  0.0029 
D)  2900 
A)  290 
B)  0.29 
C)  0.0029 
D)  2900

Solve. -Today is Kurt's $23^{\text {th }}$ birthday. How many months has he been alive?

Rewrite without rational exponents, and simplify, if possible. - $(16 x)^{7 / 2}$

Simplify to the form $a+b i$ . - $\mathrm{i}^{5}+\mathrm{i}^{7}$

Find the following. Assume that the letter can represent any real number. - $\sqrt{z^{2}+10 z+25}$

Multiply. - $(-17+13 i)(-17-13 i)$

Express in terms of i. - $\sqrt{-164}$

Complete. - $458 \mathrm{~cm}=$ ____ cm

Complete. - $46 \mathrm{ft}=$ ____yd

Use the laws of exponents to simplify. Write the answer with positive exponents. - $\frac{8^{1 / 7}}{8^{-13 / 7}}$

Write interval notation for the graph. -

Determine whether the complex number is a solution of the equation. - $1+3 \mathrm{i}$ ; $x^{2}+4 x+4=0$

Use the laws of exponents to simplify. Write the answer with positive exponents. - $\left(b^{5}\right)^{4 / 5}$

Solve. Provide answers in interval notation. - $(x+2)(x-5)<0$

Complete. - $300 \mathrm{~m}=$ ____ $\mathrm{km}$

Solve. -A medical clinic has $0.2 \mathrm{~L}$ of a medication on hand. How many milliliters are on hand?

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

Rewrite with rational exponents. - $\sqrt[16]{\mathrm{m}^{3}}$

Solve. -Andrea's sleeping bag is designed for camping in temperatures of $-7^{\circ} \mathrm{C}$ or warmer. For what Fahrenheit temperatures is her sleeping bag designed? Round to the nearest tenth of a degree.

Complete. -73 mph = ____km/h (Round to the nearest thousandth.)

Complete. - $2.9 \mathrm{~L}=\ldots \mathrm{mL}$

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

Solve. -Today is Kurt's 23th 23^{\text {th }}23th birthday. How many months has he been alive?

Rewrite without rational exponents, and simplify, if possible. - (16x)7/2(16 x)^{7 / 2}(16x)7/2

Simplify to the form a+bia+b ia+bi . - i5+i7\mathrm{i}^{5}+\mathrm{i}^{7}i5+i7

Find the following. Assume that the letter can represent any real number. - z2+10z+25\sqrt{z^{2}+10 z+25}z2+10z+25​

Multiply. - (−17+13i)(−17−13i)(-17+13 i)(-17-13 i)(−17+13i)(−17−13i)

Express in terms of i. - −164\sqrt{-164}−164​

Complete. - 458 cm=458 \mathrm{~cm}=458 cm= ____ cm

Complete. - 46ft=46 \mathrm{ft}=46ft= ____yd

Use the laws of exponents to simplify. Write the answer with positive exponents. - 81/78−13/7\frac{8^{1 / 7}}{8^{-13 / 7}}8−13/781/7​