Question 1

Solve. Provide answers in interval notation.
-$(b+5)(b+3)(b-2)<0$

Accepted Answer

A)  $(-5,-3) \cup(2, \infty)$ 
B)  $(-\infty,-5) \cup(-3,2)$ 
C)  $(-\infty,-3)$ 
D)  $(2, \infty)$ 
A)  $(-5,-3) \cup(2, \infty)$ 
B)  $(-\infty,-5) \cup(-3,2)$ 
C)  $(-\infty,-3)$ 
D)  $(2, \infty)$

Question 2

Find the intersection.
-$\{2,3,6,10\} \cap\{4,7,11,12\}$

Accepted Answer

A)  $\varnothing$ 
B)  $\{2,4\}$ 
C)  $\{3\}$ 
D)  $\{0\}$ 
A)  $\varnothing$ 
B)  $\{2,4\}$ 
C)  $\{3\}$ 
D)  $\{0\}$

Question 3

Find the union.
-$\{3,5,6,15\} \cup\{0,3,7,15\}$

Accepted Answer

A)  $\{0,3,5,6,15\}$ 
B)  $\{3,5,6,715\}$ 
C)  $\{3,15\}$ 
D)  $\{0,3,5,6,7,15\}$ 
A)  $\{0,3,5,6,15\}$ 
B)  $\{3,5,6,715\}$ 
C)  $\{3,15\}$ 
D)  $\{0,3,5,6,7,15\}$

Question 4

Complete.
-0.522 mm = ____cm

Accepted Answer

A)  0.00522 
B)  52.2 
C)  0.0522 
D)  5.22 
A)  0.00522 
B)  52.2 
C)  0.0522 
D)  5.22

Question 5

Find the midpoint of the segment with the given endpoints.
-$(3.3,5.2)$ and $(3.2,-1.9)$

Accepted Answer

A)  $(6.5,3.3)$ 
B)  $(0.1,7.1)$ 
C)  $(3.25,1.65)$ 
D)  $(0.05,3.55)$ 
A)  $(6.5,3.3)$ 
B)  $(0.1,7.1)$ 
C)  $(3.25,1.65)$ 
D)  $(0.05,3.55)$

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

Graph the inequality.
-

Accepted Answer

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

Question 8

Complete.
-$28 \mathrm{yd}=$____ in.

Accepted Answer

A)  84 
B)  336 
C)  $9 \frac{1}{3}$ 
D)  1008 
A)  84 
B)  336 
C)  $9 \frac{1}{3}$ 
D)  1008

Question 9

Complete.
-$14 \mathrm{~L}=\ldots \mathrm{mL}$

Accepted Answer

A)  14,000 
B)  0.014 
C)  1400 
D)  1.4 
A)  14,000 
B)  0.014 
C)  1400 
D)  1.4

Question 10

Solve.
-$x^{3}+64$

Accepted Answer

A)  $-4,2 \pm 2 i \sqrt{3}$ 
B)  $4,-2 \pm 2 \mathrm{i} \sqrt{3}$ 
C)  $4,-1 \pm \mathrm{i} \sqrt{3}$ 
D)  $-4,1 \pm i \sqrt{3}$ 
A)  $-4,2 \pm 2 i \sqrt{3}$ 
B)  $4,-2 \pm 2 \mathrm{i} \sqrt{3}$ 
C)  $4,-1 \pm \mathrm{i} \sqrt{3}$ 
D)  $-4,1 \pm i \sqrt{3}$

Question 11

Divide and simplify to the form $a+b i$.
-$\frac{7-19 i}{12 i}$

Accepted Answer

A)  $\frac{19}{12}-\frac{7}{12} \mathrm{i}$ 
B)  $-\frac{19}{12}+\frac{7}{12} \mathrm{i}$ 
C)  $\frac{19}{12}+\frac{7}{12} \mathrm{i}$ 
D)  $-\frac{19}{12}-\frac{7}{12} \mathrm{i}$ 
A)  $\frac{19}{12}-\frac{7}{12} \mathrm{i}$ 
B)  $-\frac{19}{12}+\frac{7}{12} \mathrm{i}$ 
C)  $\frac{19}{12}+\frac{7}{12} \mathrm{i}$ 
D)  $-\frac{19}{12}-\frac{7}{12} \mathrm{i}$

Question 12

Complete.
-$0.96 \mathrm{~km}=$ ____$\mathrm{cm}$

Accepted Answer

A)  9600 
B)  960 
C)  9.6 
D)  96,000 
A)  9600 
B)  960 
C)  9.6 
D)  96,000

Question 13

Find the midpoint of the segment with the given endpoints.
-$(8,1)$ and $(9,5)$

Accepted Answer

A)  $\left(-\frac{1}{2},-2\right)$ 
B)  $\left(\frac{17}{2}, 3\right)$ 
C)  $(-1,-4)$ 
D)  $(17,6)$ 
A)  $\left(-\frac{1}{2},-2\right)$ 
B)  $\left(\frac{17}{2}, 3\right)$ 
C)  $(-1,-4)$ 
D)  $(17,6)$

Question 14

Simplify to the form $a+b i$.
-$\sqrt{-147}+15 \mathrm{i}^{2}$

Accepted Answer

A)  $-15+7 \sqrt{3}$ 
B)  $-15-7 \sqrt{15} \mathrm{i}$ 
C)  $15+7 \sqrt{3} \mathrm{i}$ 
D)  $-15+7 \sqrt{3} \mathrm{i}$ 
A)  $-15+7 \sqrt{3}$ 
B)  $-15-7 \sqrt{15} \mathrm{i}$ 
C)  $15+7 \sqrt{3} \mathrm{i}$ 
D)  $-15+7 \sqrt{3} \mathrm{i}$

Question 15

Complete.
-225.9 mm = ____dm

Accepted Answer

A)  225.9 
B)  2.259 
C)  2259 
D)  22,590 
A)  225.9 
B)  2.259 
C)  2259 
D)  22,590

Question 16

Complete.
-61 hg = ____kg

Accepted Answer

A)  6.1 
B)  0.61 
C)  610 
D)  6100 
A)  6.1 
B)  0.61 
C)  610 
D)  6100

Question 17

Find the union.
-$\{1,2,8,12\} \cup\{m, n\}$

Accepted Answer

A)  $\varnothing$ 
B)  $\{1,2,8,12\}$ 
C)  $\{\mathrm{m}, \mathrm{n}\}$ 
D)  $\{1,2,8,12, \mathrm{~m}, \mathrm{n}\}$ 
A)  $\varnothing$ 
B)  $\{1,2,8,12\}$ 
C)  $\{\mathrm{m}, \mathrm{n}\}$ 
D)  $\{1,2,8,12, \mathrm{~m}, \mathrm{n}\}$

Question 18

Solve.
-$\frac{1}{x}+\frac{4}{x^{2}}=-1$

Accepted Answer

A)  $\frac{1}{2} \pm \frac{\sqrt{15}}{2}$ 
B)  $-\frac{1}{2} \pm \frac{\sqrt{15}}{2}$ 
C)  $-\frac{1}{2} \pm \frac{\sqrt{15}}{2} \mathrm{i}$ 
D)  $\frac{1}{2} \pm \frac{\sqrt{15}}{2} \mathrm{i}$ 
A)  $\frac{1}{2} \pm \frac{\sqrt{15}}{2}$ 
B)  $-\frac{1}{2} \pm \frac{\sqrt{15}}{2}$ 
C)  $-\frac{1}{2} \pm \frac{\sqrt{15}}{2} \mathrm{i}$ 
D)  $\frac{1}{2} \pm \frac{\sqrt{15}}{2} \mathrm{i}$

Question 19

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
-$\left(\frac{5}{11}, \frac{1}{22}\right)$ and $\left(\frac{1}{5}, \frac{7}{22}\right)$

Accepted Answer

A)  $\frac{421}{55} \approx 7.655$ 
B)  $\frac{\sqrt{421}}{55} \approx 0.373$ 
C)  $\frac{7}{11} \approx 0.636$ 
D)  $\frac{2 \sqrt{13}}{11} \approx 0.656$ 
A)  $\frac{421}{55} \approx 7.655$ 
B)  $\frac{\sqrt{421}}{55} \approx 0.373$ 
C)  $\frac{7}{11} \approx 0.636$ 
D)  $\frac{2 \sqrt{13}}{11} \approx 0.656$

Question 20

Complete.
-$77.87 \mathrm{~m}=$____ km

Accepted Answer

A)  77,870 
B)  0.07787 
C)  7787 
D)  0.7787 
A)  77,870 
B)  0.07787 
C)  7787 
D)  0.7787

Solve. Provide answers in interval notation. - $(b+5)(b+3)(b-2)<0$

Find the intersection. - $\{2,3,6,10\} \cap\{4,7,11,12\}$

Find the union. - $\{3,5,6,15\} \cup\{0,3,7,15\}$

Complete. -0.522 mm = ____cm

Find the midpoint of the segment with the given endpoints. - $(3.3,5.2)$ and $(3.2,-1.9)$

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

Graph the inequality. -

Complete. - $28 \mathrm{yd}=$ ____ in.

Complete. - $14 \mathrm{~L}=\ldots \mathrm{mL}$

Solve. - $x^{3}+64$

Divide and simplify to the form $a+b i$ . - $\frac{7-19 i}{12 i}$

Complete. - $0.96 \mathrm{~km}=$ ____ $\mathrm{cm}$

Find the midpoint of the segment with the given endpoints. - $(8,1)$ and $(9,5)$

Simplify to the form $a+b i$ . - $\sqrt{-147}+15 \mathrm{i}^{2}$

Complete. -225.9 mm = ____dm

Complete. -61 hg = ____kg

Find the union. - $\{1,2,8,12\} \cup\{m, n\}$

Solve. - $\frac{1}{x}+\frac{4}{x^{2}}=-1$

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places. - $\left(\frac{5}{11}, \frac{1}{22}\right)$ and $\left(\frac{1}{5}, \frac{7}{22}\right)$

Complete. - $77.87 \mathrm{~m}=$ ____ km

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. Provide answers in interval notation. - (b+5)(b+3)(b−2)<0(b+5)(b+3)(b-2)<0(b+5)(b+3)(b−2)<0

Find the intersection. - {2,3,6,10}∩{4,7,11,12}\{2,3,6,10\} \cap\{4,7,11,12\}{2,3,6,10}∩{4,7,11,12}

Find the union. - {3,5,6,15}∪{0,3,7,15}\{3,5,6,15\} \cup\{0,3,7,15\}{3,5,6,15}∪{0,3,7,15}