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)  $(2, \infty)$

Question 2

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

Accepted Answer

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

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)  $\{0,3,5,6,7,15\}$

Question 4

Complete.
-0.522 mm = ____cm

Accepted Answer

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)  $(0.05,3.55)$

Question 6

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

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Graph the inequality.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

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

Accepted Answer

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

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)  $-4,1 \pm i \sqrt{3}$

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)  $-\frac{19}{12}-\frac{7}{12} \mathrm{i}$

Question 12

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

Accepted Answer

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)  $(17,6)$

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)  $-15+7 \sqrt{3} \mathrm{i}$

Question 15

Complete.
-225.9 mm = ____dm

Accepted Answer

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

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)  $\{1,2,8,12, \mathrm{~m}, \mathrm{n}\}$

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)  $\frac{1}{2} \pm \frac{\sqrt{15}}{2} \mathrm{i}$

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)  $\frac{2 \sqrt{13}}{11} \approx 0.656$

Question 20

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

Accepted Answer

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

Exam 16: Converting Units of Measurement

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

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}

Complete. -0.522 mm = ____cm

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

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

Graph the inequality. -

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

Complete. - 14 L=…mL14 \mathrm{~L}=\ldots \mathrm{mL}14 L=…mL

Solve. - x3+64x^{3}+64x3+64

Divide and simplify to the form a+bia+b ia+bi . - 7−19i12i\frac{7-19 i}{12 i}12i7−19i​

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

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

Simplify to the form a+bia+b ia+bi . - −147+15i2\sqrt{-147}+15 \mathrm{i}^{2}−147​+15i2