Free Printable Mathematics Quiz- Unit Review

1.

What is the sum of the angles in a triangle?

a)

360

b)

180

c)

270

d)

90

2.

What is the definition of an inverse function?

a)

An inverse function is a function that undoes the effect of another function.

b)

An inverse function is a function that only works on certain inputs.

c)

An inverse function is a function that has no effect on another function.

d)

An inverse function is a function that performs the same operation as another function.

3.

Solve the equation 2^x = 8.

a)

6

b)

3

c)

2

d)

4

4.

What is the logarithmic function that represents the inverse of the exponential function y = e^x?

a)

ln(x)

b)

log2(x)

c)

log10(x)

d)

log(x)

5.

What are the properties of a parallelogram?

a)

A parallelogram has one pair of parallel sides.

b)

A parallelogram has two pairs of parallel sides.

c)

A parallelogram has two pairs of perpendicular sides.

d)

A parallelogram has four right angles.

6.

Solve the equation log(base 2) x = 3.

a)

6

b)

8

c)

4

d)

2

7.

Solve for x.

a)

x = 5

b)

x = 7

c)

x = 3

d)

x = 9

8.

Solve fro x.

a)

x = 7

b)

x = 12

c)

x = 8

d)

x = 13

9.

Find the length of EC

a)

24

b)

9

c)

15

d)

13

10.

Solve for x.

a)

x = 17

b)

x = 15

c)

x = 23

d)

x = 11

11.

Solve for x.

a)

x = 8

b)

x = 12

c)

x = 5

d)

x = 4

12.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

13.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

14.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

15.

Solve for x.

a)

5

b)

20

c)

40

d)

85

16.

a)

A

b)

B

c)

C

d)

D

17.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

18.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

19.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

20.

a)

A

b)

B

c)

C

d)

D

21.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

22.

What is the radius?

a)

18

b)

72

c)

38

d)

14

23.

What is the radius of this circle?

a)

6

b)

5

c)

3

d)

4

24.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

25.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

26.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

27.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

28.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

29.

H is the circumcenter. Find CD. If your answer is a decimal, round to the nearest tenth.

(a)

30.

G is the incenter. Find m∠ABG. If your answer is a decimal, round to the nearest tenth.

(a)

31.

The image show which point of concurrency

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter

32.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

33.

If AC = 16, what is AM?

a)

4

b)

8

c)

6

d)

10

34.

If AP = 12, what is AL?

a)

6

b)

12

c)

18

d)

24

35.

Given parallelogram DEFG, find the value of x.

a)

3

b)

3.08

c)

-3

d)

76 degrees

36.

Solve for x and y, given the four lengths shown in the rhombus, solve for x and y.

a)

x = 10, y = 7

b)

x = 7, y = 10

c)

x = 6, y = 4

d)

x = 4, y = 6

37.

Find the missing length.

a)

x = 12

b)

x = 11

c)

x = 15

d)

x = 9

38.

Find the value of x.

a)

35

b)

3

c)

33

d)

None of these

39.

Find the value of x.

a)

23

b)

28

c)

30

d)

Cannot be determined

40.

The inverse of the function is written as

a)

$f^+\left(x\right)$

b)

$f^1\left(x\right)$

c)

$f^2\left(x\right)$

d)

$f^{-1}\left(x\right)$

41.

Let $g(x)=3^x+10$ , the domain of the function is?

a)

$D:\left\{x∈R\right\}$

b)

$D:\left\{x∈R│x=-3\right\}$

c)

$D:\left\{x∈R│x=10\right\}$

d)

none of the choices

42.

1. The range of the exponential function $g(x)=3^x+10$ is?

a)

$R:\left\{y∈R│y=-10\right\}$

b)

$R:\left\{y∈R\right\}$

c)

$R:\left\{y∈R|y>10\right\}$

d)

$R:\left\{y∈R|y<10\right\}$

43.

The value of x in $\log_28=x$ is?

a)

8

b)

3

c)

2

d)

1

44.

Given f(x)=2x+25, find f(5).

a)

f(5) = 60

b)

f(5) = 40

c)

f(5) = -15

d)

f(5) = 35

45.

a)

9

b)

-9

c)

-15

d)

-13

46.

a)

6x² - 1

b)

6x - 3

c)

5x - 1

d)

6x² - 3x

47.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

48.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

49.

g(x) = 2x - 5
h(x) = 4x + 5
Find (g - h)(3)

a)

18

b)

16

c)

-16

d)

28

50.

f(x) = x² + 3
g(x) = 4x - 3
Find (fg)(-1)

a)

4

b)

-52

c)

-4

d)

52

51.

(L3) Given f(x)= x²+ 25 and g(x)= x - 5, find (f+g)(x).

a)

x²+ x - 20

b)

x²+ x + 20

c)

-x²+ x - 20

d)

x²- x - 20

52.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

53.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

54.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

55.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

56.

Which piecewise function matches this graph?

a)

b)

c)

d)

57.

What are the domain restrictions for the middle piece of this function?

a)

x ≥ 1

b)

x ≥ 2

c)

2 ≤ x < 6

d)

1 ≤ x < 3

58.

What is the RANGE of the function?

a)

(-∞, +∞)

b)

(-∞, 4]

c)

(-∞, 4)

d)

[0, 4]

59.

What 3D solid does this net create?

a)

Rectangular Prism

b)

Rectangular Pyramid

c)

Cube

d)

Square Prism

60.

Classify the 3D solid from its net.

a)

triangular prism

b)

triangular pyramid

c)

ninja star

d)

triangular net

61.

What 3D solid does this net create?

a)

Triangular Prism

b)

Triangular Pyramid

c)

Rectangular Pyramid

d)

Square Prism

62.

Find the volume of this square pyramid.

a)

214.8 m³

b)

586.7 m³

c)

1818.2 m³

d)

not enough information

63.

Find the volume.

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

d)

145.72in³

64.

Which solid results from rotating the triangle using the axis of rotation shown?

a)

cone

b)

hexagonal pyramid

c)

triangular pyramid

d)

triangular prism

65.

Find angle T

a)

65

b)

55

c)

65

d)

50

66.

(x-16)^2+(y-6)^2 = 1 Translated 4 left, 2 up

a)

(x-12)^2+(y-8)^2=1

b)

(x+12)^2+(y-8)^2=1

c)

(x-12)^2+(y+8)^2=1

d)

(x-20)^2+(y-4)^2=1

67.

Write the equation of the circle graphed

a)

(x-2)^2+(y+5)^2=9

b)

(x+2)^2+(y+5)^2=9

c)

(x-2)^2+(y-5)^2=9

d)

(x-2)^2+(y-5)^2=3

68.

Center (-2,0) diameter 16

a)

(x-2)^2+y^2=64

b)

(x+2)^2+(y+2)^2=64

c)

(x+2)^2+y^2=64

d)

(x+2)^2+y^2=8

69.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=3

b)

x²+y²=6

c)

x²+y²=9

70.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x² + (y-8)² = 16

b)

(x-8)² + y² = 4

c)

x² + (y-8)² = 4

d)

x² + (y+8)² = 16

71.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

72.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

73.

Your 3 year investment of $20,000 received 5.2% interest compounded annually. What is your total return?

a)

$23,285.05

b)

$3,285.05

c)

$2,385

d)

$32,285

74.

Semi-Annually means how many times a year?

a)

4

b)

2

c)

1

d)

6

75.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

a)

$15,415.94

b)

$15,683.28

c)

$15,927.56

d)

$16,109.05

76.

Shawn is buying a new Jet Ski for $12,500. He is considering 2 credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with10% interest compounded annually.Which option is better and how much will he save?

a)

A) A; $495.21 raise money for charity

b)

B) A; $573.83 get attention

c)

C) B; $495.21 get on the news

d)

D) B; $573.83 do something crazy

77.

What does the P stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

78.

Which of the following is not a cause of depreciation

a)

Wear and tear

b)

Passage of time

c)

Fall in the market value

d)

Accident

79.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

80.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

81.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

82.

A population growing at an annual rate r will triple in a time t given by the formula A = (1 + r)^t. If the growth rate remains constant and equals 6% per year, about how long will it take the population of the town to triple?

a)

18.3 years

b)

8 years

c)

0.8 years

d)

1.8 years

83.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

84.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

Mathematics Quiz- Unit Review

Total questions: 84

Worksheet time: 4hrs 35mins

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