Free Printable Semester 2 Final Review

1.

Write the equation.

a)

$y=\frac{1}{4}x+4$

b)

$y=4\left(4\right)^x$

c)

$y=\frac{1}{4}\left(4\right)^x$

d)

$y=4\left(\frac{1}{4}\right)^x$

2.

How many lines of symmetry are in this figure?

a)

1

b)

2

c)

4

d)

8

3.

If Joey earns 675 for 6 hours of work, what is Joey's unit rate per pay?

a)

675 per week

b)

528 per day

c)

112.5 per hour

d)

102.5 per hour

4.

In a math class the ratio of boys to girls is 15 to 8. If there are 16 girls in class, how many boys are there?

a)

45

b)

30

c)

35

d)

40

5.

Find the percent change from 72 to 24. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.

a)

200% Increase

b)

67% Increase

c)

67$ Decrease

d)

200% Decrease

6.

88 students for 4 classes
How many students per class?

a)

22 students per class

b)

22 classes per student

c)

25 students per class

d)

25 classes per student

7.

Express the ratio as a fraction in simplest form:
18 ounces to 3 cups

a)

6 to 1

b)

1/6

c)

18/3

d)

3/18

8.

The design on Santana’s wall includes 16 pink stripes and 20 green stripes. Find the ratio of pink stripes to green stripes.

a)

20:16

b)

16 to 20

c)

20 to 16

d)

5:4

9.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

10.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

11.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

12.

Is this exponential growth or decay?

a)

Growth

b)

Decay

13.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

14.

Pick the equation that is exponential decay

a)

y=2000(0.88)

b)

y=0.5(1.88)

15.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

16.

Simplify the following exponential expression:
(3x⁴)(5x³)

a)

15x¹²

b)

8x⁷

c)

8x¹²

d)

15x⁷

17.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

18.

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

19.

Determine if the equation y = 15(1.35)^x represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.

a)

Growth, because the scale factor is greater than 1

b)

Growth, because the scale factor is less than 1

c)

Decay, because the scale factor is greater than 1

d)

Decay, because the scale factor is less than 1

20.

Which formula can be used to help you write an exponential function?

a)

$y_1\sim mx_1+b$

b)

$y_1\sim mx^b$

c)

$y_1\sim a\cdot b^x$

d)

$y_1\sim a+b^x$

21.

Which is the basic form of a linear function?

a)

$y=mx+b$

b)

$y=a\cdot b^x$

c)

$y=a\left|x\right|$

22.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

23.

2^-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

24.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

25.

Simplify x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

26.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

27.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

28.

Find the value of x

a)

16

b)

8

c)

32.8

d)

39.2

29.

Find the value of t

a)

-1

b)

5

c)

5.14

d)

7

30.

a)

15

b)

16

c)

18

d)

19

31.

Find what the value of x.

a)

118

b)

108

c)

28

d)

58

32.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

33.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

34.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

35.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

36.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

37.

a)

MQ=4, PQ=8

b)

MQ=4, PQ=4

c)

MQ=8, PQ=4

d)

MQ=8, PQ=8

38.

a)

RM=6, MS=6

b)

RM=3, MS=3

c)

RM=3, MS=6

d)

RM=6, MS=3

39.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

40.

Find AC

a)

3

b)

4

c)

5

d)

2

41.

Find AC

a)

7

b)

8

c)

22

d)

23

42.

Find the length of DE

a)

12

b)

11

c)

10

d)

13

43.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

44.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

45.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

46.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

47.

What additional information is required for the 2 triangles to be congruent by SAS?

a)

A

b)

B

c)

C

d)

D

48.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

49.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

50.

What is the "reason" for step 4 of the proof?

a)

proof

b)

AAS
≅ Thrm

c)

ASA
≅ Thrm

d)

SAS
≅ Thrm

51.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

52.

What is the "statement" for step 3 of the proof?

a)

AD=DA

b)

AD=AD

c)

HD=ND

d)

HD=DN

53.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

54.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

not congruent

b)

yes, SSS

c)

yes, SAS

d)

yes, ASA

55.

What triangle congruence criteria is shown in the given diagram?

a)

AAS

b)

ASA

c)

SSA

d)

SAS

56.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

57.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

58.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

59.

What is statement #1?

a)

BC≅DC

b)

AC≅EC

c)

BC≅DC, AC≅EC

d)

∆BCA≅∆DCE

60.

What is statement #1?

a)

BC≅DC

b)

AC≅EC

c)

BC≅DC, AC≅EC

d)

∆BCA≅∆DCE

61.

What is statement #2?

a)

∠ABC≅∠EDC

b)

∠BCA≅∠DCE

c)

BC≅CD

d)

∠E≅∠A

62.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

63.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

64.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

65.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

66.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

yes, SAS

b)

not congruent

c)

yes, ASA

d)

yes, AAS

67.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

68.

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

a)

WV

b)

WU

c)

VU

d)

WB

69.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

70.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

71.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

72.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle GEQ\cong\angle NEW$ Vertical

b)

$\overline{WN}\cong\overline{GQ}$ ; Prove

c)

$\angle G\cong\angle N$ ; Alternate Interior

d)

$\angle W\cong\angle Q$ ; Alternate Interior

73.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

74.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

75.

What is the "statement" for step 3 of the proof?

a)

AD=DA

b)

AN = AH

c)

HD=ND

d)

HD=DN

76.

When using hypotenuse leg (HL) in a proof, you must first state ...

a)

CPCTC.

b)

there are right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

77.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

78.

What triangle congruence criteria is shown in the given diagram?

a)

ASA

b)

AAS

c)

SSA

d)

HL

79.

A triangle with two congruent sides and two congruent angles (base angles) is called ...

a)

scalene

b)

equilateral

c)

isosceles

d)

obtuse

Semester 2 Final Review

Total questions: 79

Worksheet time: 2hrs 39mins

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