Free Printable Geometry/Algebra 2- Final Review

1.

What side corresponds to ED?

a)

TA

b)

NA

c)

TN

d)

RD

2.

∆JIK ≅

a)

∆TRS

b)

∆RST

c)

∆STR

d)

∆TSR

3.

Triangle ABC is congruent to Triangle XYZ. What side corresponds to XZ?

a)

BC

b)

AB

c)

AC

d)

XY

4.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

5.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

6.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

7.

Are these triangles congruent?

a)

Yes, by SAS

b)

Yes, by AAS

c)

Yes, by HL

d)

No, this is the SSA one!!

8.

Are these triangles congruent?

a)

Yes, by ASA

b)

Yes, by SAS

c)

Yes, by AAS

d)

No, this is the SSA one!!

9.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

10.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

11.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Yes, by HL

12.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

No, they are not congruent

13.

The pair of figures is similar. Find the missing side.

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

14.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

15.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

16.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

17.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

18.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

19.

What is the measure of angle b?

a)

198*

b)

56*

c)

63*

d)

36*

20.

Mrs. Moreno has a box containing 6 lipsticks, 4 eye shadows, 6 eye liners, and 5 mascaras. If she randomly chooses one item from the box, what is the probability that she will grab a lipstick?

a)

3/7

b)

15/21

c)

5/7

d)

6/21

21.

Find the probability of drawing a 10 from a standard deck of 52 cards.

a)

1 out of 52

b)

13 out of 52

c)

26 out of 52

d)

4 out of 52

22.

If 33% of the students at Harnett Central have a pet, then what is the probability of the complement of this event?

a)

33%

b)

77%

c)

67%

d)

50%

23.

You roll a six sided die. What is the probability of rolling an even number three times in a row?

(Hint: Multiply the probabilities of each event)

a)

3/100

b)

1/2

c)

1/6

d)

1/8

24.

A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent.

a)

Independent

(first event does NOT effect the second event)

b)

Dependent

(first event DOES effect the second event)

25.

A card is pulled from a deck of cards. It is not replaced. Then another card is drawn. Identify whether the events are independent or dependent.

a)

Independent

b)

Dependent

26.

Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kings? (Hint: Multiply the probabilities of each event)

a)

1/26 = 3.85%

b)

1/69 = 1.45%

c)

1/221 = 0.45%

d)

4/663 = 0.60%

27.

Find x.

a)

7

b)

3

c)

10

d)

-3

28.

Find x.

a)

3

b)

2

c)

-2

d)

1

29.

Find x.

a)

5

b)

-5

c)

66

d)

-66

30.

Find y.

a)

66

b)

-5

c)

-66

d)

5

31.

Fill in the missing numbers.

a)

top:18, bottom:9

b)

top:3, bottom:9

c)

top:9, bottom:9

d)

top:3, bottom:18

32.

Fill in the missing numbers.

a)

top:-4, bottom:3

b)

top:3, bottom:5

c)

top:4, bottom:3

d)

top:16, bottom:16

33.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

34.

Factor:

-3x - 15

a)

-3 (x+ 5)

b)

3 (x + 5)

c)

-3 (x -5)

35.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

36.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

37.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

38.

Factor:
x²-15x + 36

a)

(x - 18)(x + 2)

b)

(x - 12)(x - 3)

c)

(x - 12)(x + 3)

d)

(x + 18)(x - 2)

39.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

40.

Factor Completely:

2x² + 4x - 70

a)

(x-7)(2x+5)

b)

(x+7)(2x-10)

c)

2(x+10)(x-7)

d)

2(x+7)(x-5)

41.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

42.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

43.

When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?

a)

Minimum value

b)

Basketball

c)

Maximum Value

d)

A parabola

44.

What is the maximum height of the football?

a)

34 feet

b)

28 feet

c)

30 feet

d)

31 feet

45.

What is the vertex of the graph?

a)

(2,4)

b)

(-2,-4)

c)

(4,2)

d)

(-4,-2)

46.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

47.

What is the axis of symmetry for this graph?

a)

y=2

b)

x=2

c)

x=0

d)

y=0

48.

(-2,0) is the...

a)

vertex and y-intercept

b)

middle point

c)

vertex and x-intercept

d)

line of symmetry

49.

Name the y-intercept.

a)

(-4,4)

b)

(0,4)

c)

(-2,0)

d)

(0,0)

50.

If the a value is positive in the equation

y = ax²+ bx+ c

which direction does the graph open?

a)

up

b)

down

c)

left

d)

right

51.

Which letter in a equation

y = ax²+ bx+ c

represents the y-intercept?

a)

a

b)

b

c)

c

52.

What is the y-intercept of the parabola y = 5x² - 3

a)

5

b)

3

c)

- 3

d)

-5

53.

The graph of y = x² + 1 could be?

a)

b)

c)

d)

54.

What is the equation of the following graph?

a)

y = 2x²

b)

y = x²+ 2

c)

y = x²- 2

d)

y = - 2x²

55.

What is the equation of this graph?

a)

y = - x²

b)

y = - x²- 3

c)

y = - x²+ 3

d)

y = x² + 3

56.

What is the correct graph for the equation y = - 0.5x²+ 2

a)

b)

c)

d)

57.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

58.

Factor:

2x²+32x+30

a)

2(x+1)(x+15)

b)

2(x+3)(x+5)

c)

2(x-3)(x-5)

d)

2(x-1)(x+15)

59.

Solve by factoring.

x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

60.

Solve by factoring.

x² + 7x + 12 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

61.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

62.

Solve for x by taking the Square Root:

(x+6)²= 49

a)

x = 1

b)

x = ±7

c)

x = 1 and -13

d)

x = 43 and -55

63.

Factor the perfect square trinomial:
x² + 16x + 64

a)

(x+8)²

b)

(x-8)²

c)

(x-4)²

d)

(x+4)²

64.

Solve by completing the square:

k² − 12k + 20 = 0

a)

k = 10 and 2

b)

k = -6 and -6

c)

k = 22 and -10

d)

k = -2 and 6

65.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

66.

Use the quadratic formula to find the solutions for

-x² - 5x + 12 = 0

a)

No Real Solution

b)

c)

d)

67.

Solve using quadratic formula.

a)

A

b)

B

c)

C

d)

D

68.

Solve using quadratic formula.

a)

A

b)

B

c)

C

d)

D

69.

Which equation could match the graph?

(Hint: find he x-intercepts when y=0)

a)

y = (x + 1)(x + 4)

b)

y = (x - 1)(x - 4)

c)

y = (x - 4)(x - 4)

d)

y = (x + 2.5)(x + 4)

70.

Which equation could match the graph?

a)

y = (x + 2)(x - 1)

b)

y = (x - 2)(x - 1)

c)

y = (x + 2)(x + 1)

d)

y = (x - 2)(x + 1)

71.

Explain the translation:

y = (x + 9)² + 5

a)

translated left 9, up 5

b)

translated left 9, down 5

c)

translated right 9, up 5

d)

translated right 9, down 5

72.

Explain the translation:

y = (x - 5)² - 1

a)

translated right 5, up 1

b)

translated left 5, down 1

c)

translated right 5, down 1

d)

translated left 5, up 1

73.

Which equation could match the graph?

a)

y = (x + 2)²- 1

b)

y = (x - 2)²- 1

c)

y = (x + 2)²+ 1

d)

y = (x - 2)²+ 1

74.

What is the equation of this graph?

a)

y = (x -5)² + 1

b)

y = (x - 1)² - 5

c)

y = (x + 1)² - 5

d)

y = (x + 5)² +1

75.

Which equation matches the graphed above?

a)

$y=-\left(x-1\right)^2-4$

b)

$y=\left(x-4\right)^2+1$

c)

$y=-\left(x+1\right)^2-4$

76.

Which equation matches the graph above?

a)

$y=-\left(x+4\right)^2-1$

b)

$y=\left(x+4\right)^2-1$

c)

$y=\left(x-4\right)^2+1$

77.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

no solutions

d)

All of the above

78.

How many solutions does this system of equations have?

a)

one solution

b)

two solutions

c)

three solutions

d)

no solutions

79.

Find the solution to the system:

y = x² - 4x + 6

y = x + 2

(Hint: set the equations equal to each other and solve for x)

a)

(3, 1) and (6, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

80.

Find the solution to the system.

(Hint: set the equations equal to each other and solve for x)

a)

(0,7) and (0,-3)

b)

(2,6) and (7,4)

c)

(3,0) and (7,4)

d)

(-1,5) and (-3,9)

81.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

45°-60°-90°

d)

60°-60°-60°

82.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

30°-30°-60°

d)

60°-60°-60°

83.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

84.

Find x.

a)

4

b)

2

c)

4√3

d)

2√2

85.

Find x.

a)

12

b)

√2

c)

6√3

d)

6

86.

What is the length of x in this picture?

a)

10√2

b)

5√2

c)

5√3

d)

5

87.

What is the length of y in this picture?

a)

5√3

b)

5√2

c)

10

d)

5

88.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

89.

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

90.

a)

216

b)

6^1/2

c)

6²

d)

6^3/2

91.

a)

2^1/6

b)

64

c)

6^1/2

d)

2⁶

92.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

93.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

94.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

95.

√-9

a)

-3i

b)

3

c)

3i

d)

-3

96.

4+5i+6+6i

a)

21i

b)

20i+36

c)

24+30i

d)

10+11i

97.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

98.

(6i)(4i)

a)

24i

b)

24

c)

-24i

d)

-24

99.

Calculate (multiply):
(4 + 3i)(4 − 3i)

a)

16 − 9i²

b)

25

c)

7

d)

8 − 6i

100.

What is the product of (4 - 3i)(2 + 6i)

a)

26 + 18i

b)

8 + 36i

c)

-10 - 18i²

d)

-8 + 36i

Geometry/Algebra 2- Final Review

Total questions: 100

Worksheet time: 3hrs 20mins

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