Free Printable Integrated Math II Final

1.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

2.

Factor:
x² - 15x + 50

a)

(x - 10)(x - 15)

b)

(x - 10)(x - 5)

c)

(x - 25)²

d)

(x - 5)²

3.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

4.

Solve for the variable. 3x=-27

a)

x=9

b)

x=-30

c)

x=-9

d)

x=-24

5.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

6.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

7.

k - 10 = 7

a)

-3

b)

3

c)

17

d)

- 17

8.

y + 8 = 20

a)

10

b)

11

c)

12

d)

13

9.

- 4T = - 44

a)

- 11

b)

11

c)

- 40

d)

48

10.

x/12 = - 2

a)

6

b)

- 6

c)

24

d)

- 24

11.

3p - 1 = 5

a)

3

b)

2

c)

1

d)

0

12.

9 + 2q = - 1

a)

4

b)

- 4

c)

5

d)

- 5

13.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

14.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

15.

Solve by taking square roots:
5m² + 1 = 6

a)

m = 0

b)

m = 1 or -1

c)

m = √7

d)

m = 7/5 m = -7/5

16.

Solve using square roots.

a)

±81

b)

±9

c)

±3

d)

No real solution

17.

x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

18.

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

19.

In the figure if $m\angle12=74\degree.$ Find $m\angle4\$ and give proper reasoning.

a)

$74\degree$ because they are corresponding angles.

b)

$106\degree$ because alternate interior angles.

c)

$106\degree$ because corresponding angles.

d)

$74\degree$ because they are consecutive interior angles.

20.

If $m\angle10=53\degree$ find $m\angle4$ and give proper reasoning.

a)

$127\degree$ because alternate exterior angles.

b)

$127\degree$ because alternate interior angles.

c)

$53\degree$ because consecutive interior angles.

d)

$53\degree$ because alternate exterior angles.

21.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

22.

Find what the value of x.

a)

118

b)

108

c)

28

d)

58

23.

Find the m∠1

a)

28

b)

152

c)

180

d)

62

24.

Find the m∠2

a)

28

b)

152

c)

180

d)

62

25.

Find the m∠2

a)

56

b)

124

c)

180

d)

66

26.

Classify this triangle based on its angles.

a)

acute

b)

right

c)

obtuse

27.

Classify this triangle based on its angles.

a)

acute

b)

right

c)

obtuse

28.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

29.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

30.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

31.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

32.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

33.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

34.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

35.

What is the measure of angle b

a)

146

b)

34

c)

36

d)

136

36.

What is the measure of the unlabeled angle of the triangle?

a)

90*

b)

82*

c)

98*

d)

75*

37.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

38.

solve for c

a)

7

b)

9

c)

4

d)

13

39.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

40.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

41.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

42.

How do you know what leg is the hypotenuse?

a)

It's the left leg

b)

It's the right leg

c)

It's the longest leg

43.

What is the hypotenuse?

a)

8.2

b)

6.2

c)

5.4

44.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

45.

What is the ratio for tangent?

a)

O/A

b)

A/O

c)

A/H

d)

O/H

46.

What is the ratio for sine?

a)

O/H

b)

H/A

c)

H/O

d)

O/A

47.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

48.

What is the acronym to help you remember the ratios to use in trigonometry?

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

49.

What type of triangles do you use the trig ratios with?

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

50.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

51.

What is the area of the rectangle?

a)

9 cm

b)

14 cm

c)

49 cm

d)

21 cm

52.

Find the AREA of this figure.

a)

160 square feet

b)

160 feet

c)

abcdefghijklmnopqr
stuvwxyz

d)

1600 feet

53.

Find the Area of this triangle

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

54.

Find the area of the figure

a)

119 un²

b)

238 un²

c)

84 un²

d)

168 un²

55.

Find the area of the figure

a)

35 un²

b)

70 un²

c)

30 un²

d)

168 un²

56.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

57.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

58.

What is the volume of the cereal box?

a)

230 in³

b)

97 in³

c)

132 in³

d)

288 in³

59.

Find the area of this square

a)

49 inches

b)

49 units

c)

14 units²

d)

49 units²

60.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

61.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

62.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

63.

What is the probability of rolling an even number on a dice. The dice is numbered 1-6.

a)

3/6

b)

1/2

c)

1/6

d)

5/6

64.

What is the probability of getting any letter that is not A?

a)

6/8

b)

3/4

c)

2/8

d)

1/4

65.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
P( Yellow or green)

a)

1/40

b)

7/20

c)

6/19

d)

1/38

Integrated Math II Final

Total questions: 65

Worksheet time: 5hrs 39mins

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