Free Printable Review for chapter 0, 4, 5

1.

$Simplify\ \left(2-7i\right)\left(4+2i\right)$

a)

6 – 24i

b)

22 – 24i

c)

22 – 6i

d)

6 – 6i

2.

$Simplify\ \sqrt{32x^5y^2}$

a)

$4x^2\left|y\right|\sqrt{2x}$

b)

$4x^2y\sqrt{2x}$

c)

$4x^3y\sqrt{2x}$

3.

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, R = {2, 6, 7, 8}, S = {6, 8, 9}, and T = {3, 4, 5}. Find R ∪ T.

a)

{2, 6, 7, 8, 9}

b)

{2, 3, 4, 5, 6, 7, 8}

c)

∅

d)

{1, 9, 10}

4.

Simplify (8 + 3i) ÷ (5 – 7i).

a)

$19-41i$

b)

$\frac{19+71i}{74}$

c)

$\frac{-61-71i}{24}$

d)

$61-41i$

5.

Find the axis of symmetry of the graph of g(x) = x² - 5x + 2.

a)

x = -5

b)

x = 2

c)

x = 5/2

d)

x = -5/2

6.

What is the y-intercept of the function y = 2x² + 1

a)

1

b)

None

c)

3

d)

0

7.

How many different two-person teams can be made from 6 people?

a)

15

b)

30

c)

360

d)

120

8.

$Find\ the\ period\ of\ the\ function\ f\left(x\right)\ =\ \csc\left(\frac{x}{4}-\frac{\pi}{2}\right)$

a)

$\frac{\pi}{2}$

b)

$\frac{\pi}{3}$

c)

$8\pi$

d)

$4\pi$

9.

Sketch the graph of y = tan 3x.

a)

b)

c)

10.

$y=-3\tan x$

a)

b)

11.

$Identify\ the\ damping\ factor\ of\ the\ function\ y=\frac{1}{2}x\cos2x$

a)

$2x$

b)

$\frac{1}{2}x$

c)

$4x$

d)

$-4x$

12.

$Find\ the\ exact\ value\ of\ the\ exression:\ \sin^{-1}\left(\cos\ \frac{\pi}{6}\right)$

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{6}$

d)

$\frac{\pi}{3}$

13.

$Solve\ the\ \exp ression:\ \cos\left(\tan^{-1}\ \frac{4}{3}\right)$

a)

$\frac{4}{5}$

b)

$\frac{3}{4}$

c)

$\frac{3}{5}$

d)

$\frac{5}{4}$

14.

Solve ΔJKL.

a)

ℓ ≈ 8.2, k ≈ 7.9, ∠K = 44°

b)

ℓ ≈ 8.2, k ≈ 10.9, ∠K = 73°

c)

ℓ ≈ 8.2, k ≈ 6.9, ∠K = 119°

d)

ℓ ≈ 10.9, k ≈ 8.2, ∠K = 73°

15.

$Find\ the\ solution\ of\ \Delta DEF,\ if\ \angle D=53\degree,\ e=49\ cm,\ f=40\ cm$ Find all solutions for ΔDEF if D= 53

a)

E ≈ 75.0°, F ≈ 52.0°, d ≈ 40.5

b)

E ≈ 70.0°, F ≈ 49.0°, d ≈ 35

c)

no solution

d)

∠C = 79°, ∠B = 52°, b ≈ 13.7

16.

$Find\ the\ area\ of\ triangle\ \Delta RST:\ if\ R=50\degree,\ s=\ 12yd,\ t\ =\ 14yd.$

a)

$64\ yd.^2$

b)

$70\ yd.^2$

c)

$60\ yd.^2$

d)

$66\ yd.^2$

17.

Simplify cos x + cos x tan² x.

a)

sec x

b)

1 + tan x

c)

csc x

d)

tan x

18.

$Deter\min e\ the\ exact\ value\ of\ \cos\theta,\ given\ \sin\theta=\ \frac{4}{5\ }\ and\ \ 0\degree<\theta<90\degree.$

Determine the exact value of cos, given sin and 0° < < 90°

a)

$\frac{5}{3}$

b)

$\frac{3}{5}$

c)

$\frac{4}{5}$

d)

$\frac{5}{4}$

19.

$If\ \sec\theta=5,\ find\ \cot\theta$

a)

$\frac{\sqrt{6}}{12}$

b)

$\frac{4}{5}$

c)

$\frac{1}{5}$

d)

$\frac{24}{25}$

20.

$Complete\ the\ idendity:\ \frac{\cot^2x-\csc^2x}{\sec\ x}$

a)

$\tan x$

b)

$\sec x$

c)

$-\cos\ x$

d)

$\sin\ x$

21.

$Complete\ the\ identity:\ \frac{\sec^2x.\sin^2x}{\sec x-\cos x}$

a)

$\csc\ x$

b)

$\sec\ x$

c)

$\tan\ x$

d)

$\cot\ x$

22.

$Use\ Heron's\ formula\ to\ find\ area\ of\ triangle\ \Delta FGH:\ if\ f=\ 8\ in.,\ g\ =\ 9\ in.,\ h\ =\ 3\ in.$

a)

$15\ in.^2$

b)

$16\ in.^2$

c)

$12\ in.^2$

d)

$10\ in.^2$

23.

$Solve\ the\ triangle\ \Delta ABC\ \left(find\ all\ the\ sides\ and\ angles\ of\ triangle\right):\ a=\ 10\ cm,\ c\ =\ 8\ cm,\ B\ =\ 100\degree.$

a)

$b\cong14\ cm,\ \angle A\ \cong46\degree,\ \angle C\cong34\degree$

b)

$b\cong12cm,\ \angle A\cong50\degree,\ \angle C\cong30\degree$

Review for chapter 0, 4, 5

Total questions: 23

Worksheet time: 12mins

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