Free Printable Math 2 Final Review (Semester 1)

1.

Name the angle pair.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

2.

Angles 4 and 1 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Acute

d)

Vertical

3.

Angles 2 and 4 are what type of angle pair relationship?

a)

Corresponding

b)

Vertical

c)

Alternate Interior

d)

Alternate Exterior

e)

Supplementary

4.

What is the best way to describe the angle pair relationships?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

5.

Angles 1 and 5 are what type of angle pair relationship?

a)

Corresponding

b)

Vertical

c)

Alternate Interior

d)

Alternate Exterior

e)

Supplementary

6.

Angle 3 and 7 are which type of angle pair relationship?

a)

Corresponding

b)

Verttical

c)

Alternate Interior

d)

Alternate Exteriror

e)

Supplementary

7.

What is the best way to describe the angle pair relationships?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

8.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

9.

Angles 3 and 6 are what type of angle pair relationship?

a)

Corresponding

b)

Vertical

c)

Alternate Interior

d)

Alternate Exterior

e)

Supplementary

10.

Angles 1 and 4 are what type of angle pair relationship?

a)

Corresponding

b)

Vertical

c)

Alternate Interior

d)

Alternate Exterior

e)

Supplementary

11.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

12.

What is the best way to describe the angle pair relationships?

a)

Vertical Angles

b)

Alternate Interior Angles

c)

Linear Pairs

d)

Same Side Interior Angles

13.

If these are Supplementary Angles, Solve to find the value of x.

a)

x=-6

b)

x=6

c)

x=130

d)

x=180

14.

Solve for x.

a)

10.5

b)

11.5

c)

34

d)

34.5

15.

What equation would you use to find the value of x?

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

16.

WHAT IS THE VALUE OF X?

a)

-7

b)

9.4

c)

7

d)

-9.4

17.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

18.

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?

a)

X=12

b)

8X - 17 + 5X +19 = 180

c)

8X - 17 = 5X +19

d)

X= -12

19.

Solve for x.

a)

5

b)

9

c)

4

d)

10

20.

WHAT IS THE VALUE OF X?

a)

16

b)

11.4

c)

0

d)

-16

21.

$If\ \angle\ P\ measures\ 60\degree,\ what\ is\ the\ measure\ of\ \angle\ D\ ?$

a)

$30\degree$

b)

$60\degree$

c)

$120\degree$

d)

$180\degree$

22.

Find x

a)

15 degrees

b)

12 degrees

c)

24 degrees

d)

10 degrees

23.

What is the value of x?

a)

4

b)

7

c)

11

d)

10

24.

What is the value of x?

a)

-5

b)

5

c)

8

d)

11

25.

Which is NOT a test to prove triangles congruent?

a)

AAS

b)

SSS

c)

SSA

d)

SAS

26.

Which is NOT a test to prove triangles congruent?

a)

AAS

b)

SSS

c)

SSA

d)

SAS

e)

ASA

27.

What are the ways to prove triangles congruent?

Check all that apply.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

SSA

28.

Which of these IS a congruence theorem?

a)

AAA

b)

SSA

c)

SAS

d)

None of these

29.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

30.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

31.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

32.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

33.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

34.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

35.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

36.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

37.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

38.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

39.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

40.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

41.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

42.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

43.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

44.

Determine if the two triangles are congruent. If they are, choose the appropriate congruence theorem.

a)

SAS

b)

ASA

c)

AAS

d)

SSS

e)

Not congruent.

45.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

46.

How are the triangles congruent?

a)

SAS

b)

ASA

c)

HL

d)

SSS

47.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

48.

a)

Congruent by AAS

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

49.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

50.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

51.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

SSA~

52.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

53.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

54.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

55.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

56.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

57.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

58.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

59.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

60.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

61.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

62.

Solve for x. Round to the nearest tenth.

a)

46.1

b)

4.9

c)

73.5

d)

68.6

63.

Solve for x. Round to the nearest tenth.

a)

17.2

b)

27.1

c)

8.3

d)

30.9

64.

Solve for x. Round to the nearest hundredth (two decimal places).

a)

9.17

b)

98.13

c)

0.11

d)

26.69

65.

Solve for x. Round to the nearest tenth.

a)

31.2

b)

5.6

c)

14.6

d)

6.2

66.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

67.

Which trig function would you use to solve for x?

a)

$\sin40=\frac{x}{19}$

b)

$\cos40=\frac{x}{19}$

c)

$\tan40=\frac{x}{19}$

68.

Solve for x and then find the AREA of this triangle. Round your answer to the nearest tenth.

a)

89.0 units squared

b)

89.6 units squared

c)

9.2 units squared

d)

13.1 units squared

69.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

73.5

d)

68.6

70.

Find the measure of the indicated angle (x) round to the nearest degree (the nearest whole number).

a)

50

b)

40

c)

41

d)

49

71.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

33°

b)

49°

c)

39°

d)

41°

72.

Find the measure of the indicated angle (?) round to the nearest degree (the nearest whole number).

a)

6

b)

20

c)

43

d)

47

73.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

74.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

75.

Solve for x. Round to the nearest tenth.

a)

44.0

b)

41.4

c)

1.2

d)

1.0

76.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

77.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

78.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

79.

$\sin\left(\theta\right)=?$

(Find the ratio.)

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

80.

_{What is the Tangent of θ?}

a)

8/15

b)

17/15

c)

17/8

d)

15/17

81.

^{What is the cosine of angle C?}

a)

7/24

b)

24/25

c)

7/25

d)

25/7

82.

Find the ratio for the given triangle.

a)

$\frac{12}{5}$

b)

$\frac{12}{13}$

c)

$\frac{5}{12}$

d)

$\frac{13}{12}$

83.

Find the ratio for the given triangle.

a)

$\frac{12}{5}$

b)

$\frac{5}{12}$

c)

$\frac{13}{12}$

d)

$\frac{12}{13}$

84.

Find the x-intercepts for this quadratic function:

$y=-x^2+6x-5$

(Show your work on paper)

a)

(1,0) & (5,0)

b)

(-1,0) & (-5,0)

c)

(0,1) & (0,5)

d)

(0,-1) & (0,-5)

85.

$y=\left(2x-6\right)\left(x+7\right)$

What are the x-intercepts for this quadratic equation?

(Show work on paper)

a)

(3,0) & (-7,0)

b)

(-3,0) & (7,0)

c)

(2,-6) & (0,7)

d)

(-2,6) & (0,-7)

86.

Solve the quadratic equation $x^2-5x+6=0$ by factoring.

a)

x = 1, 6

b)

x = -2, -3

c)

x = 4, 5

d)

x = 2, 3

87.

Solve for x.

$\left(x+3\right)\left(3x-5\right)$

a)

$-3\ and\ -\frac{5}{3}$

b)

$-3\ and\ \frac{5}{3}$

c)

$3\ and\ -\frac{5}{3}$

d)

$3\ and\ \frac{5}{3}$

88.

Solve the quadratic equation $x^2+7x+10=0$ by factoring.

a)

x = 2, 5

b)

x = -2, -5

c)

x = -2, 10

d)

x = -7, -10

89.

By factoring, identify the zeros of the quadratic function $f\left(x\right)=x^2-5x-14$ .

a)

$x=7,\ x=2$

b)

$x=-7,\ x=2$

c)

$x=7,\ x=-2$

d)

$x=-7,\ x=-2$

90.

Solve each equation by factoring: $k^2+2k-3=0$

a)

$-1\ and\ 3$

b)

$-1\ and\ 2$

c)

$-4\ and\ 6$

d)

$1\ and-3$

91.

Solve each equation by factoring: $n^2+4n-12=0$

a)

$5\ and-7$

b)

$-8\ and-4$

c)

$4\ and-1$

d)

$2\ and-6$

92.

Solve each equation by factoring: $x^2-3x+2=0$

a)

$3\ and-5$

b)

$-1\ and\ 4$

c)

$1\ and\ 2$

d)

$5\ and-4$

93.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

94.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

95.

Convert x²+6x+9 to factored form.

a)

(x+3)(x+3)

b)

(x+4)(x+5)

c)

(x-3)(x-3)

d)

Not factorable

96.

What are the factors of x²+3x-40

a)

(x+10)(x-4)

b)

(x+8)(x-5)

c)

(x+20)(x-2)

d)

(x+1)(x-3)

97.

Factor: $x^2-8x+15$

a)

$\left(x-3\right)\left(x-5\right)$

b)

$\left(x-10\right)\left(x+3\right)$

c)

$\left(x-5\right)\left(x+3\right)$

d)

$\left(x-8\right)\left(x+15\right)$

98.

Factor: $x^2+x-56$

a)

$\left(x+8\right)\left(x-7\right)$

b)

$\left(x+56\right)\left(x-1\right)$

c)

$\left(x+7\right)\left(x-6\right)$

d)

$\left(x-9\right)\left(x+8\right)$

99.

What are the factors of 3x²-17x+10

a)

(x-5)(3x-2)

b)

(x+5)(3x+2)

c)

(3x-5)(x-2)

d)

(x+5)(3x-2)

100.

Factor $3v^2-8v+5$

a)

(3v + 5)(v - 1)

b)

(3v - 5)(v + 1)

c)

(3v - 5)(v - 1)

d)

(3v + 5)(v + 1)

101.

Factor 3a² + 4a + 1

(Draw a box and diamond)

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

102.

Factor: 4h² - 12h + 9

(Draw a box and diamond)

a)

(2h - 3)²

b)

4(h + 9)(h + 1)

c)

(2h - 3)(2h + 3)

d)

(h - 9)(4h - 1)

103.

Factor 2x² - 13x - 70

(Draw a box and diamond)

a)

(2x - 7)(x + 10)

b)

(7x + 5)(x + 2)

c)

(2x + 7)(x - 10)

d)

2(x + 7)(x + 10)

104.

Factor 5x²- 28x + 32

(Draw a box and diamond)

a)

(3x - 10)(x + 6)

b)

(x - 8)(5x - 4)

c)

(5x - 8)(x - 4)

d)

(5x - 8)(x + 7)

105.

Factor 3x² - 7x + 2

(Draw a box and diamond)

a)

(x - 1) (3x + 2)

b)

(x - 2) (3x -1)

c)

(x - 1) (3x - 2)

d)

(x + 2) (3x + 1)

106.

Factor 2x² + x - 6

(Draw a box and diamond)

a)

(x + 2) (2x - 3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)

Math 2 Final Review (Semester 1)

Total questions: 106

Worksheet time: 8hrs 54mins

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