Free Printable Unit 8 Review

1.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

3.

Level 1

The Pythagorean Theorem is

a² + b²+ c²

a)

false

b)

true

4.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

5.

Level 3

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

6.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

7.

_{^{Find the missing side}}

a)

37

b)

17.66

c)

6

d)

312

8.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

9.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

10.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

11.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

12.

Solve for x. SIMPLIFY your radical answer completely.

a)

2√6

b)

6√2

c)

4√6

d)

6√4

13.

Solve for x. SIMPLIFY your radical answer completely.

a)

√3

b)

3

c)

√41

d)

41

14.

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm, how long is the other leg rounded to the nearest tenth?

a)

$2\sqrt{11}cm.$

b)

$11\sqrt{2}cm.$

c)

$4\sqrt{11}cm.$

d)

$11\sqrt{4}cm.$

15.

What is the length of the iPad diagonal?

a)

$9\sqrt{2}in.$

b)

$\sqrt{85}in.$

c)

$\sqrt{13}in.$

d)

$5\sqrt{17}in.$

16.

Will these sides form a right triangle?

5, 12, 13

a)

Yes

b)

No

17.

What type of triangle will these side lengths form?

9, 10, 15

a)

Right

b)

Acute

c)

Obtuse

18.

What type of triangle will these side lengths form?

7, 8, 10

a)

Right

b)

Acute

c)

Obtuse

19.

What type of triangle will these side lengths form?

5, 12, 13

a)

Right

b)

Acute

c)

Obtuse

20.

What type of triangle will these side lengths form?

9, 11, 15

a)

Right

b)

Acute

c)

Obtuse

21.

Which trigonometric ratio is correct?

a)

cosC= adj/hyp

b)

sinC= adj/hyp

c)

tanC= adj/hyp

d)

tanC=adj/opp

22.

Fill in the blank...
SOH ___ TOA

a)

COH

b)

CAH

c)

COA

d)

CHA

23.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

24.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

25.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

26.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

27.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

28.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

29.

Solve for x.

a)

34.9

b)

40.8

c)

18.0

d)

10.8

30.

Solve for x.

a)

17.2

b)

27.1

c)

8.3

d)

30.9

31.

Solve for x.

a)

31.2

b)

5.6

c)

14.6

d)

6.2

32.

Solve for x.

a)

21.2

b)

81.7

c)

5.9

d)

5.7

33.

Which equation is true?

a)

sin (x) = 14/29

b)

cos (x) = 14/29

c)

tan (x) = 14/29

d)

tan (x) = 29/14

34.

Which equation is true?

a)

sin (x) = 6/8

b)

cos (x) = 8/6

c)

cos (x) = 6/8

d)

tan (x) = 6/8

35.

Which equation would you use to solve for the unknown angle?

a)

x = sin^–1(4/5)

b)

x = cos^–1(4/5)

c)

x = cos^–1(5/4)

d)

x = tan^–1(4/5)

36.

Which equation could be used to solve for the unknown angle?

a)

x =sin^–1(25/24)

b)

x = sin^–1(24/25)

c)

x = sin^–1(25/7)

d)

x = sin^–1(7/25)

37.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

38.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

39.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

40.

Solve the right triangle.

a)

<B = 39^o, AB = 11.58, AC = 7.29

b)

<B = 39^o, AB = 7.29, AC = 11.58

c)

<B = 129^o, AB = 11.58, AC = 7.29

d)

<B = 129^o, AB = 7.29, AC = 11.58

Unit 8 Review

Total questions: 40

Worksheet time: 2hrs 36mins

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