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Integrated Math 2A Final Exam Quiz

Total questions: 75

Worksheet time: 3hrs 8mins

Name
Class
Date
1.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
2.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
3.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
4.
∠AOB and ∠COB can best be described as - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
5.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
6.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
7.
If m∠XOZ = 74°, find m∠XOY.
a)
37°
b)
74°
c)
90°
d)
148°
8.
∠1 and ∠8
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Same Side Interior
d)
Same Side Exterior
9.
∠4 and ∠6
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Same Side Interior
d)
Same Side Exterior
10.
∠3 and ∠5
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Same Side Interior
d)
Same Side Exterior
11.
∠2 and ∠7
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Same Side Interior
d)
Same Side Exterior
12.
∠3 and ∠6
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Same Side Interior
d)
Same Side Exterior
13.
∠1 and ∠7
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Same Side Interior
d)
Same Side Exterior
14.
∠4 and ∠5
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Same Side Interior
d)
Same Side Exterior
15.
∠2 and ∠6
a)
Vertical Angles
b)
Linear Pair
c)
Corresponding Angles
d)
Transversal
16.
∠4 and ∠8
a)
Vertical Angles
b)
Linear Pair
c)
Corresponding Angles
d)
Transversal
17.
The line that crosses two parallel lines.
a)
Vertical Angles
b)
Linear Pair
c)
Corresponding Angles
d)
Transversal
18.
A pair of angles that add up to 180º
a)
Complementary
b)
Complimentary
c)
Supplementary
19.
A pair of angles that add up to 90º
a)
Complementary
b)
Complimentary
c)
Supplementary
20.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
21.
Find missing side
a)
5
b)
7
c)
9
d)
11
22.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
23.
Solve for x. 
a)
10
b)
18
c)
20
d)
12
24.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
25.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
26.
Solve for the variable x.
a)
x = 8.5
b)
x = 10
c)
x = 1
d)
x = 2
27.
What is the ratio for Sine?
a)
Opposite Leg / Adjacent Leg
b)
Opposite Leg /  Hypotenuse
c)
Adjacent Leg / Hypotenuse
d)
Adjacent Leg / Opposite Leg
28.
What is the ratio for Cosine?
a)
Opposite Leg / Adjacent Leg
b)
Opposite Leg / Hypotenuse
c)
Adjacent Leg / Hypotenuse
d)
Hypotenuse / Adjacent Leg
29.
What is the ratio for Tangent?
a)
Adjacent Leg / Opposite Leg
b)
Adjacent Leg / Hypotenuse
c)
Opposite Leg / Hypotenuse 
d)
Opposite Leg / Adjacent Leg
30.
                                                                                                                               
                                          Solve for DE
a)
36.5
b)
18.8
c)
8.5
d)
7.9
31.
Find m∠N                                                                                                                                               
a)
14
b)
65
c)
76
d)
53
32.
A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
33.
You decide to go to the city for a day of fun.  You happen to be standing 30 feet away from a building that is 645 feet tall.  What is your angle of elevation to the top of the building?
a)
87.3
b)
2.6
c)
79.1
d)
84.6
34.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

35.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

36.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

37.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

a)

True

b)

False

38.

Which expression is correct for "y"?

a)

y = tan–1(31/23)

b)

y = sin–1(31/23)

c)

y = cos–1(31/23)

39.
Factor:  x2 + 13x + 30
a)
(x + 3)(x + 10)
b)
(x + 5)(x + 6)
c)
(x + 2)(x + 15)
d)
(x + 1)(x + 30)
40.
Factor:  x2 - 2x - 24
a)
(x + 6)(x - 4)
b)
(x + 4)(x - 6)
c)
(x - 4)(x - 6))
d)
(x - 3)(x + 8)
41.
Factor:  2x2 - 5x + 2
a)
(2x - 1)(x - 2)
b)
(2x + 1)(x - 2)
c)
(2x - 2)(x - 1)
d)
(2x + 2)(x - 1)
42.
Factor:  4x2 - 17x + 15
a)
(2x - 5)(2x - 3)
b)
(4x - 3)(x - 5)
c)
(4x - 5)(x - 3)
d)
(2x + 5)(2x - 3)
43.
Factor:  6x2 + 9x
a)
(6x + 1)(x + 3)
b)
(3x + 1)(2x + 3)
c)
3x(2x + 3)
d)
6x(x + 3)
44.

Factor:

 x210x24x^2-10x-24  

a)

 (x+2)(x+12)(x+2)(x+12)  

b)

 (x+3)(x8)(x+3)(x-8)  

c)

 (x+2)(x12)(x+2)(x-12)  

d)

Not factorable

45.
What is the GCF? 3x+9
a)
x
b)
3
c)
9
d)
3x
46.

Factor:

56a3-8a

a)

8a2(56a3-8a)

b)

8a(7a2-1)

c)

8a(7a3-a)

d)

8a2(35a2-a)

47.
a)
The measures of all corresponding angles change by a scale factor of 2.
b)
The measures of all corresponding angles change by a scale factor of 1/2.
c)
The lengths of all corresponding sides change by a scale factor of 2.
d)
The lengths of all corresponding sides change by a scale factor of 1/2.
48.
If the two shapes are similar, the scale factor of the larger to the smaller is...
a)
5/3
b)
30/1
c)
25/18
d)
15/x
49.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
50.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
51.
Which is a pair of alternate interior angles?
a)
∠3 and ∠6
b)
∠4 and ∠6
c)
∠3 and ∠7
d)
∠5 and ∠6
52.
Name the relationship between ∠2 and ∠7.
a)
corresponding angles
b)
alternate interior angles
c)
alternate exterior angles
d)
vertical angles
53.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
54.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
55.
What is the value of x?
a)
22°
b)
10°
c)
d)
56.
What ratio is equal to sin 59⁰?
a)
AB/AC
b)
AB/BC
c)
BC/AC
d)
AC/AB
57.
Which ratio is equal to BC/AC?
a)
cos 59⁰
b)
sin 59⁰
c)
tan 59⁰
d)
cos 31⁰
58.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
59.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
60.

Factor Completely: x2-17x+72

a)

(x-9)(x+8)

b)

(x-9)(x-8)

c)

x(x-3)

d)

(x+9)(x+8)

61.

Factor Completely: x2-7x-8

a)

(x+1)(x-8)

b)

(x+1)(x+8)

c)

5(x+4)(x+5)

d)

(x-1)(x+8)

62.

Factor Completely: x2+13x+40

a)

(x+5)(x+8)

b)

5x(x+3)

c)

3x(x+6)

d)

x(x-4)

63.

If z=15 cm and x=17 cm, what is the length of y?

a)

8 cm

b)

7 cm

c)

23 cm

d)

9 cm

64.

If p=28 cm and r=45 cm, what is the length of q?

a)

52 cm

b)

53 cm

c)

49 cm

d)

57 cm

65.

Solve for x.

a)

36

b)

72

c)

90

d)

108

66.

Is △DCG similar to △FCE? If so, state the similarity theorem.

a)

Yes, by SSS~

b)

Yes, by SAS~

c)

Yes, by AA~

d)

No, not enough information.

67.
The pilot of a traffic helicopter sights an accident at an angle of depression of 18 degrees.  The helicopter’s altitude is 1560 ft.  What is the horizontal distance from the helicopter to the accident? Round to the nearest foot.
a)
543 ft
b)
1756 ft
c)
4801 ft
d)
5404 ft
68.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
69.

FIND THE VALUE OF X?

a)

X=12

b)

8X - 17 + 5X +19 = 180

c)

8X - 17 = 5X +19

d)

X= -12

70.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Not Enough Information

b)

HL

c)

SAS

d)

SSA

71.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
72.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
73.

What is the probability that Mr. Taylor will roll a number greater than 4 on a number cube?

a)

1/6

b)

1/4

c)

1/3

d)

1/2

74.

What is the probability that Ms. Rothenburg will flip a coin and land on heads while at the same time rolling a die and rolling a three?

a)

1/12

b)

1/4

c)

1/2

d)

1/6

75.

Factor the GCF out of the following: 3xy - 15x2y3

a)

3xy(1 - 5xy2)

b)

3xy(1 - 5xy)

c)

3xy( 5xy2)

d)

3xy