Free Printable EOY Math 8 Review

1.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

2.

Simplify the expression:
c⁴⋅c³

a)

c¹²

b)

c⁷

c)

2c⁷

d)

2c¹²

3.

Simplify the expression:

3x²⋅x²

a)

3x

b)

3x²⁺²

c)

3x⁴

4.

Simplify the expression:

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

5.

Simplify the expression:

4^-2

a)

1/16

b)

-16

c)

1/4

d)

-42

6.

According to exponent rules, when we raise a power to another power, we ________ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

7.

When dividing powers with the same base, we _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

8.

Simplify the expression:
$\frac{x^6}{x^2}$

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

9.

Simplify the expression:

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

10.

Simplify the expression.

a)

b)

c)

d)

11.

Simplify the expression.

a)

b)

c)

d)

12.

Anything raised to a power of zero is always ___.

a)

0

b)

1

c)

itself

d)

negative

13.

Simplify the expression.

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

14.

When expressing numbers in scientific notation, if the exponent is a positive number, the original number was...

a)

a really big number.

b)

a really small number.

15.

When expressing numbers in scientific notation, if the exponent is a negative number, the original number was...

a)

a really large number.

b)

a really small number.

16.

Convert to standard notation:

7.1 x 10⁴

(a)

17.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

18.

Convert to scientific notation:

0.068

a)

6.9 x 10⁶

b)

6.8 x 10^-9

c)

6.8 x 10^-2

d)

None of the above

19.

Convert to standard notation:

1.4 x 10^-2

(a)

20.

Which value is the greatest?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

21.

Which value is the least?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

22.

Subtract:
(5 x 10⁸) - (3.4 x 10⁸)

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

23.

Add:

(2.3 x 10²) + (4.1 x 10³)

a)

$6.2\times10^2$

b)

$4.33\times10^3$

c)

$43\times10^2$

d)

433

24.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

25.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

26.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

27.

$x+2+6=8$

a)

0

b)

14

c)

8

d)

4

28.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

29.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

30.

$-\left(3v+1\right)+7\left(6v+6\right)=-37$

a)

$4$

b)

$0$

c)

$2$

d)

$-2$

31.

$-3x-6x=6+x-7x$

a)

$-3$

b)

$12$

c)

$11$

d)

$-2$

32.

$-3\left(n+8\right)-4=-40-n$

a)

$11$

b)

$6$

c)

$2$

d)

$1$

33.

$2x-16=2\left(1+4x\right)$

a)

$7$

b)

$-16$

c)

$-2$

d)

$-3$

34.

$5\left(x-1\right)=28-6x$

a)

$3$

b)

$-10$

c)

$7$

d)

$-3$

35.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

36.

∠3 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

37.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

38.

a)

∠B=82°

b)

∠B=98°

c)

∠B=180°

d)

∠B=8°

39.

a)

∠1 & ∠8
are supplementary angles

b)

∠2 & ∠3
are supplementary angles

c)

∠4 & ∠5
are supplementary angles

d)

∠7 & ∠8
are supplementary angles

40.

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

41.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

42.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

43.

Find the measure of the missing angle.

a)

30^o

b)

110^o

c)

150^o

d)

40^o

44.

Which of the following terms best describes angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

45.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

46.

What is the relationship between the sides in the triangle shown?

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

47.

The Pythagorean Theorem ONLY works on which type of triangle?

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

48.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

49.

The longest side of a triangle is always the...

a)

hypotenuse

b)

leg

c)

right angle

d)

base

50.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

51.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

52.

Is this triangle a right triangle?

a)

yes

b)

no

53.

Indicate the translation given the rule (x-4, y).

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

54.

Indicate the translation given the rule (x, y+6).

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

55.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

56.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise rotation

57.

How many degrees was the figure rotated?

a)

90^ocounterclockwise

b)

180^o

c)

270^o counterclockwise

d)

90^oclockwise

58.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

59.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

60.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

61.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

62.

Determine the slope of the line.

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

63.

Find the slope of the line that passes through the points (2, 4) and (6, 12).

a)

1/2

b)

-1/2

c)

2

d)

-2

64.

Find the slope of the line that passes through the points (10, 1) and (5, 2).

a)

1/5

b)

-1/5

c)

5

d)

-5

65.

What does the “b” stand for in y = mx + b?

a)

y-intercept/starting point

b)

slope/rate of change

c)

"b" is for busted

66.

What does the “m” stand for in y = mx + b?

a)

y-intercept/starting point

b)

slope/rate of change

c)

"m" is for math

67.

Convert the standard form equation into slope-intercept form.
x + y = -1

a)

y = x - 1

b)

y = 27, 239, 430

c)

y = -1x

d)

y = -x - 1

68.

Convert the standard form equation into slope-intercept form.
x - 5y = 10

a)

y = ⅕x - 2

b)

y = -x - 2

c)

x = -10

d)

y = 27, 239, 430

69.

Solve the system.

(a)

70.

Solve the system.

(a)

71.

Solve the system.

(a)

72.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

73.

The set of all y-values is known as the...

(a)

74.

The set of all x-values is known as the...

(a)

75.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

76.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

77.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

78.

Which set of values is a function?

a)

(9, 5)

(10, 5)

(9, -5)

(10, -5)

b)

(3, 4)

(4, -3)

(7, 4)

(3, 8)

c)

(6, -5)

(7, -3)

(8, -1)

(9, 1)

d)

(2, -2)

(5, 9)

(5, -7)

(1, 4)

79.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

80.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

81.

Which formula do we use to find the volume of a cylinder?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr³

c)

V= πr²h

82.

Which formula do we use to find the volume of a cone?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr³

c)

V= πr²h

83.

Which formula do we use to find the volume of a sphere?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr³

c)

V= πr²h

84.

Find the volume of this figure. Round to the nearest tenth.

a)

128.6 units³

b)

1,286.1 units³

c)

401.9 units³

d)

5,144.6 units³

85.

This figure has a diameter of 20 centimeters. Find the volume.

a)

4,188.8 units³

b)

1,333.3 units³

c)

2,364.3 units³

d)

5,000.3 units³

86.

Find the volume.

a)

156 $\pi$ m³

b)

702 $\pi$ m³

c)

2,106 $\pi$ m³

d)

78 $\pi$ m³

87.

A scatter plot is shown. What is the correlation?

a)

negative

b)

none

c)

positive

88.

A scatter plot is shown. What is the correlation?

a)

positive

b)

negative

c)

none

89.

Does this scatter plot show a linear correlation?

a)

yes

b)

no

90.

Does this scatter plot show a linear correlation?

a)

yes

b)

no

91.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

92.

Both scatter plots and two-way tables are used to show the relationship between two variables, otherwise known as this type of data.

(a)

93.

Scatter plots are used to represent __________ data, while two-way tables are used to represent __________ data.

a)

numerical, categorical

b)

categorical, numerical

94.

Values in the body of a two-way frequency table.

a)

joint frequencies

b)

marginal frequencies

95.

Values in the total row and column of a two-way frequency table, with the exception of the total for the entire table.

a)

joint frequencies

b)

marginal frequencies

96.

To create a two-way relative frequency table for a data set, we first __________ each number by the total then __________ by 100.

a)

divide, multiply

b)

multiply, divide

97.

How many female athletes were surveyed in all?

a)

48

b)

52

c)

100

d)

33

98.

What is the probability that a randomly selected athlete is female and plays basketball? Simplify any fractions.

a)

$\frac{16}{100}$

b)

$\frac{16}{31}$

c)

$\frac{16}{52}$

d)

$\frac{4}{25}$

99.

What is the probability that a randomly selected athlete is female or plays football? Simplify any fractions.

a)

$\frac{72}{100}$

b)

$\frac{18}{25}$

c)

$\frac{33}{100}$

d)

$\frac{59}{100}$

100.

To create a two-way relative frequency table for this data, we would divide each number by...

a)

100

b)

16

c)

14

d)

26

EOY Math 8 Review

Total questions: 100

Worksheet time: 4hrs 22mins

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