Free Printable Math 2 Final Exam Review

1.

What is the distance between (4, 7) and (2,2)?

a)

$\sqrt{10}$

b)

$\sqrt{29}$

c)

8

d)

9

2.

What is the distance between (-5, -5) and (-9, -2)?

a)

$\sqrt{29}$

b)

$\sqrt{12}$

c)

7

d)

5

3.

Point A Point A (-1,8) and B (7,3)
What is the midpoint of segment AB?

(a)

4.

What is the midpoint between (-6,8) and (6,-7)?

a)

(0,1/2)

b)

(1,1/2)

c)

(0,0.5)

d)

(2,6)

5.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

6.

Where would A' be if you translated A 3 units to the right and 4 units down?

a)

(-4, 4)

b)

(-1, 0)

c)

(0, -1)

7.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

8.

Which point is the image of point B(-2, 4) reflected over the x-axis?

a)

(2, 4)

b)

(2, -4)

c)

(-2, -4)

d)

(-2, 4)

9.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

10.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

d)

90 degrees clockwise

11.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

12.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

a)

(5,3), (6,2), (1,-2)

b)

(6,0), (9,-3), (-6,-15)

c)

(2/3,0), (1,-1/3), (-2/3,-5/3)

d)

(-1,-3), (0,-4), (-5,-8)

13.

a)

∠1 & ∠2
are vertical angles

b)

∠2 & ∠4
are vertical angles

c)

∠5 & ∠8
are vertical angles

d)

∠1 & ∠5
are vertical angles

14.

Solve for y.

a)

y = 55

b)

y = 35

c)

y = 70

d)

y = 20

15.

Find x:

a)

3

b)

3.86

c)

71

d)

88.2

e)

Other

16.

If $\angle7=45x+120$ and $\angle13=135x+30,$ solve for $\angle9$ Hint: solve for x, first.

a)

35

b)

1

c)

165

d)

1/6

e)

135

17.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

18.

What is the measure of angle x?

a)

45

b)

60

c)

65

d)

75

19.

Find the value of the base angle.

a)

30

b)

120

c)

60

d)

180

20.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

21.

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

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

22.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

23.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

24.

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

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

25.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

26.

Solve for x.

a)

10

b)

2

c)

11

d)

5

27.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

28.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

29.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

30.

Find x.

a)

10

b)

20

c)

10√3

d)

√3

31.

What is the length of x in this triangle?

a)

14

b)

$7\sqrt{3}$

c)

3.5

d)

$\frac{14}{\sqrt{3}}$

32.

What is the measure of side b?

a)

5

b)

10√2

c)

$\frac{10}{\sqrt{2}}$

d)

10√3

33.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

34.

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

a)

31.5 feet

b)

24.6 feet

c)

51.2 feet

d)

57.4 feet

35.

Find the measurement of the missing side indicated

a)

4.98

b)

5.98

c)

3.20

d)

4.18

36.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

37.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

38.

a)

b)

c)

d)

39.

a)

b)

c)

d)

40.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

41.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

42.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

43.

a)

A

b)

B

c)

C

d)

D

44.

What is the classification of the following polynomial?
x²-8x+10

a)

quadratic binomial

b)

cubic trinomial

c)

linear binomial

d)

quadratic trinomial

45.

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

46.

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

a)

2x²+x+1

b)

2x²-5x+3

c)

2x²-x+1

d)

4x²-5x+3

47.

Which is an example of a cubic binomial?

a)

x³+5

b)

x²+3

c)

x²+5x-6

d)

5x³

48.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

49.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

50.

$x^4-81$

a)

$\left(x^2-9\right)\left(x^2+9\right)$

b)

$\left(x^2+9\right)\left(x-3\right)\left(x+3\right)$

c)

$\left(x^4-9\right)\left(x^4+9\right)$

d)

$\left(x^2-9\right)\left(x^2-9\right)$

51.

Factor:

4x² - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)²

c)

(2x + 5)²

d)

2x + 5(2x - 5)

52.

Factor completely.
3x²- 9x -120

a)

3(x - 8)(x + 5)

b)

3(x + 8)(x - 5)

c)

(3x + 8)(x - 5)

d)

(3x - 8)(x + 5)

53.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

54.

What are the roots of the function?

a)

x = 4, -1

b)

(-4, 1)

c)

x = -4, 1

d)

(4, 0) (-1, 0)

55.

Determine the values of

a, b, and c for

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

56.

This graph represents a quadratic equation that will have:

a)

2 imaginary roots

b)

2 real roots

c)

1 real root and 1 imaginary root

57.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

58.

$3n^2-8n+3=-4$

a)

$\frac{8\pm\sqrt{20}}{6}$

b)

$\frac{4\pm i\sqrt{5}}{3}$

c)

$\frac{8\pm5i\sqrt{2}}{6}$

d)

$\frac{4\pm\sqrt{-20}}{3}$

59.

Simplify the radical:

\sqrt{27ab^3}

a)

$3a\sqrt{9b^3}$

b)

$3b\sqrt{3ab}$

c)

$9ab\sqrt{3b^{ }}$

60.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

61.

∛216

a)

6

b)

72

c)

108

d)

4

62.

a)

A

b)

B

c)

C

d)

D

63.

$8-\sqrt{x+12}=3$

a)

no solution

b)

$\sqrt{5}-12$

c)

13

d)

37

64.

$\sqrt{8-x}=x-6$

a)

-7

b)

7

c)

4

d)

-4

65.

x and y vary inversely. Given (5, 20), what is the constant k?

a)

4

b)

5

c)

25

d)

100

66.

If x varies inversely as the square root of y, and x = 9 when y = 121, find x when y = 81.

a)

7

b)

11

c)

13

d)

17

67.

If y varies inversely as x, and y = 32 when x = 3, find x when y = 15.

a)

3/5

b)

8/5

c)

16/5

d)

32/5

68.

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours (x) by 6 painters (y). How many painters would need to work in order to paint the house in 18 hours?

a)

8 painters

b)

10 painters

c)

9 painters

d)

11 painters

69.

The width of a rectangle varies inversely with its length. if the width is 4 when the length is 18, find the width when the length is 8.

a)

9

b)

72

c)

36

d)

2

70.

Which of the following classifies the number -8

a)

Integer, Rational, Real

b)

Natural, Whole, Integer, Rational, Real

c)

Whole, Integer, Rational, Real

d)

Rational, Real

Math 2 Final Exam Review

Total questions: 70

Worksheet time: 4hrs 30mins

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