Free Printable 8th Grade Review

1.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

2.

0.8 is a rational number

a)

True

b)

False

3.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

4.

0.8 is a rational number

a)

True

b)

False

5.

Simplify to an equivalent expression BUT leave in exponent form.
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

6.

ANY number raised to a power of 0 will be....

a)

10

b)

itself

c)

1

d)

0

7.

How do you write
1001
in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

8.

What is the base in 2⁸ ?

a)

8

b)

2

9.

Slope, in basic terms, is simply...

a)

Rise over run

b)

Run over rise

c)

Left over down

d)

Right over up

10.

In the equation y=mx+b, m is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

11.

In the Pythagorean Theorem, c is always the ____ number.

a)

largest

b)

smallest

c)

middle

d)

first

12.

The formula V=(¹/₃)∏r²h is used to find the volume for ______.

a)

A cube

b)

A cylinder

c)

A sphere

d)

A cone

13.

Pi

a)

Rational

b)

Whole

c)

Irrational

d)

Integer

14.

a)

Function

b)

Not a Function

15.

solve for c

a)

7

b)

9

c)

4

d)

13

16.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

17.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

18.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

19.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

20.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

21.

Simplify.

a)

A

b)

B

c)

C

d)

D

22.

Simplify.

a)

A

b)

B

c)

C

d)

D

23.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

24.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

25.

What does the ( E )in PEMDAS mean?

a)

experience

b)

exponents

c)

examples

d)

evidence

26.

What is the perimeter of the shaded figure?

a)

12

b)

10

c)

16

d)

18

27.

What is the perimeter of the shaded figure?

a)

10

b)

16

c)

18

d)

12

28.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

29.

The correct order of number sets, from smallest to largest (not including irrational) is ________.

a)

Natural, whole, integer, rational, real

b)

Natural, integer, whole, rational, real

c)

Natural, rational, whole, integer, real

d)

Natural, whole, rational, integer, real

30.

x>3

a)

x is less than 3

b)

x is greater than 3

c)

x is less than or equal to 3

d)

x is greater than or equal to 3

31.

x<3

a)

x is less than 3

b)

x is greater than 3

c)

x is less than or equal to 3

d)

x is greater than or equal to 3

32.

2/3 + 1/2 =

a)

6/7

b)

2/6

c)

3/5

d)

7/6

33.

Use the graph to estimate how thick the ice is at -7°F.

a)

A

b)

B

c)

C

d)

D

34.

Which of the following statements is best supported by the graph?

a)

A

b)

B

c)

C

d)

D

35.

What type of association is shown by the scatter plot?

a)

Positive

b)

Negative

c)

None

36.

Which of the following is a reasonable estimate for the amount of gas used for 225 miles driven?

a)

10

b)

11.25

c)

20

d)

20.5

37.

Which statement is a valid conclusion?

a)

A

b)

B

c)

C

d)

D

38.

Which equation best matches the trend line from the scatter plot ?

a)

A

b)

B

c)

C

d)

D

39.

the slant of a line

a)

trend line

b)

dependent

c)

slope

d)

independent

40.

congruent; formed by two intersecting lines

a)

origin

b)

vertical angles

c)

exterior angles

d)

independent

41.

From the problem below determine the keyword that determines,x, in y = mx + b:

The cost to rent a rug cleaner for a day is $25 plus $15 per hour at Rugs Galore. At Get Clean the rug cleaner costs $45 plus $7 per hour. Write an inequality that can be used to show how many hours you need to rent the rug cleaner so that Get Clean’s charges will be less than Rugs Galore’s

charges.

a)

Charges

b)

Hours

c)

Rent

d)

Per

42.

From the problem below determine the keyword that determines the expression for Get Clean:

The cost to rent a rug cleaner for a day is $25 plus $15 per hour at Rugs Galore. At Get Clean the rug cleaner costs $45 plus $7 per hour. Write an inequality that can be used to show how many hours you need to rent the rug cleaner so that Get Clean’s charges will be less than Rugs Galore’s

charges.

a)

y = 15x + 25

b)

y = 25x + 15

c)

y = 45x + 7

d)

y = 7x + 45

43.

From the problem below determine the keyword that determines the expression for Rugs Galore:

The cost to rent a rug cleaner for a day is $25 plus $15 per hour at Rugs Galore. At Get Clean the rug cleaner costs $45 plus $7 per hour. Write an inequality that can be used to show how many hours you need to rent the rug cleaner so that Get Clean’s charges will be less than Rugs Galore’s

charges.

a)

y = 25x + 45

b)

y = 15x + 25

c)

y = 15x + 45

d)

y = 45x + 25

44.

From the problem below determine the keyword that determines the symbol ( < , > , = ... etc)

The cost to rent a rug cleaner for a day is $25 plus $15 per hour at Rugs Galore. At Get Clean the rug cleaner costs $45 plus $7 per hour. Write an inequality that can be used to show how many hours you need to rent the rug cleaner so that Get Clean’s charges will be less than Rugs Galore’s

charges.

a)

plus

b)

equal sign

c)

greater than

d)

less than

45.

From the problem below what is the expression from clue 1?

Mrs. Johnson told her class she was thinking of two numbers. She gave them two clues.

Clue 1: The larger number is 2 less than 6 times the smaller number.

Clue 2: The larger number is 19 more than 3 times the smaller number.

Write an equation that can be used to determine the two numbers Mrs. Johnson was thinking.

a)

y = 2 - 6x

b)

y = 3x - 19

c)

y = 3x + 19

d)

y = 2x - 6

46.

From the problem below what is the expression from clue 2?

Mrs. Johnson told her class she was thinking of two numbers. She gave them two clues.

Clue 1: The larger number is 2 less than 6 times the smaller number.

Clue 2: The larger number is 19 more than 3 times the smaller number.

Write an equation that can be used to determine the two numbers Mrs. Johnson was thinking

a)

y = 3x + 19

b)

y = 2x - 6

c)

y = 29 + 3x

d)

y = 2x + 19

47.

What is the x and y value for the solution to the system.

a)

(3, 1)

b)

(1, 3)

c)

(4, 5)

d)

Not here

48.

Problem: There is a can that is filled with soup. What is the volume of the can?

From the problem what did you use to determine the skill?

a)

The problem shows a diameter

b)

The problem is a cylinder

c)

The problem says volume

d)

This is a surface area surface

49.

A sphere has a diameter of 4 meters. What is the volume of the sphere? Show your work.

From the problem: What important information must be done to correctly answer the question.

a)

Divide by 4

b)

Divide by 2

c)

Divide by 100

d)

Do not divide just use the 4 meters

50.

What is the volume of the cones?

a)

$V\ =\ \frac{1}{3}\pi\ 2^2\ 10$

b)

$V\ =\ \frac{1}{3}\pi\ 4^2\ 10$

c)

$V\ =\ \frac{1}{3}\pi\ 10^2\ 2$

d)

$V\ =\ \frac{4}{3}\pi\ 2^2\ 10$

51.

Stanley started at point P and drove 11 miles south to point Q. He then drove to point R which is 60 miles east of point Q. How far was Stanley from his starting point when he arrived at point R?

From the problem: do you add or subtract?

a)

You subtract because both measures touches the box

b)

You add because both measures DOES NOT touches the box

c)

You subtract because both measures touches the box

d)

You add because both measures touches the box

52.

Using points A and B. What is the expression used to find the distance between A and B?

a)

$\sqrt{7^2-8^2}$

b)

$\sqrt{6^2-5^2}$

c)

$\sqrt{10^2+6^2}$

d)

$\sqrt{7^2}$

53.

Which is the correct expression for the problem?

a)

$\sqrt{12^2-15^2}$

b)

$\sqrt{15^2-12^2}$

c)

$\sqrt{15+12^2}$

d)

$\sqrt{12^2+15^2}$

54.

Do you add or subtract and why

a)

Yes the numbers touch the boxes

b)

No, he numbers doesn't touch the boxes

c)

Yes, the numbers doesn't touch the boxes

d)

No, the number touch the boxes

55.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

56.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

57.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

58.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

59.

If my function rule is x÷3, what is the OUTPUT if the input is 12?

a)

9

b)

4

c)

3

d)

36

60.

If my function rule is x - 4, what is my INPUT if the output is 7?

a)

11

b)

10

c)

3

d)

7

61.

If my function rule is 5x, what is my INPUT if the output is 10?

a)

1

b)

50

c)

2

d)

15

62.

If my function rule is x + 9, what is my INPUT if the output is 17?

a)

8

b)

6

c)

26

d)

16

63.

How would you write 4.3756 x 10⁴in standard form?

(a)

64.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

65.

What is the first step in getting "x" by itself?
3x - 7 = 28

a)

subtract 7

b)

add 7

c)

multiply by 3

d)

divide by 3

66.

2X+5x+11=53

a)

x=6

b)

x=5

c)

x=-6

d)

x=64/7

67.

2X+5x+11=53

a)

x=6

b)

x=5

c)

x=-6

d)

x=64/7

68.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

69.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

x-intercept

c)

nothing

d)

slope

70.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

71.

What type of Correlation?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

72.

What type of Correlation?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

73.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

74.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

75.

Which expression represents a negative number?

a)

5 − (-6)

b)

-12 ÷ -6

c)

(-3)³

d)

(-2)×(-4)

76.

What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

77.

What is the measure of < x in degrees?

a)

53

b)

60

c)

67

d)

113

78.

0.5(x - 3) = 7.5

What is the solution to this equation?

a)

5

b)

18

c)

45

d)

11

79.

What is the slope of this line?

a)

1/5

b)

1/3

c)

3/1

d)

2/5

80.

Which expression is equivalent to –15x + 6?

a)

–3(5x – 2)

b)

–3(5x + 6)

c)

3(-5x – 2)

d)

3(5x + 6)

81.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

82.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

83.

−x²+2−1+6x²−4x²

a)

x ² -1

b)

x² +1

c)

3x² +1

d)

x ²+3

84.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

85.

The angle measures of a triangle are shown in the diagram. What is the value of x ?

a)

25

b)

20

c)

10

d)

28

86.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

87.

WHAT IS THE VALUE OF X?

a)

16

b)

11.4

c)

0

d)

-16

88.

WHAT IS THE VALUE OF X?

a)

-7

b)

9.4

c)

7

d)

-9.4

89.

3. Find x, the missing side length in the right triangle. (number answer only)

(a)

90.

13. Find x, the missing side length of the right triangle. (answer with the number only round to the nearest 10th)

(a)

91.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

92.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

93.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

94.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

95.

Quadrilaterals have

a)

4 sides

b)

2 sides

96.

Transformations are when you

a)

turn, flip, or slide a shape on a graph

b)

erase a shape on a graph

97.

Reflection means

a)

turn

b)

flip

98.

After a transformation, the shape still has the same size, area, angles and line lengths.

a)

True

b)

False

99.

Rotation means

a)

to slide

b)

to turn

100.

Translation means

a)

slide

b)

flip

101.

Clockwise means

a)

the same direction that the hands of a clock move

b)

the opposite direction of the movement of a clock's hands

102.

Counterclockwise means

a)

the same direction as a clock's hands

b)

the opposite direction of a clock's hands

103.

When one shape can become another using only Turns, Flips and/or Slides, then the two shapes are

a)

congruent

b)

similar

104.

An image is

a)

The new position of a shape after a transformation

b)

the position of a shape before a transformation

105.

Parts that match between two congruent triangles are called

a)

congruent shapes

b)

corresponding parts

106.

Corresponding angles are

a)

matching angles between the two triangles

b)

matching parts of a circle

107.

This is an example of

a)

a reflection

b)

a rotation

108.

This is an example of a

a)

rotation

b)

translation

109.

This is an example of a

a)

translation

b)

rotation

110.

Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W'K'R'P'. Which rule describes this transformation?

a)

(x y, ) → (x − 4, y + 5)

b)

(x y, ) → (x + 4, y − 5)

c)

(x y, ) → (x + 4, y − 5)

d)

(x y, ) → (x − 4, y − 5)

111.

Which representation shows y as a function of x?

a)

b)

c)

d)

112.

A bowling ball shaped like a sphere has a diameter of 21.6 centimeters. Which measurement is closest to the volume of the bowling ball in cubic centimeters?

a)

1,954.3 cm 3

b)

5,276.7 cm 3

c)

488.6 cm 3

d)

42,213.4 cm 3

113.

A customer will borrow $12,000 to buy a car. Which loan option would allow the customer to pay the least amount of interest?

a)

A 4-year loan with a 5.2% annual simple interest rate

b)

A 5-year loan with a 4.2% annual simple interest rate

c)

A 6-year loan with a 4.7% annual simple interest rate

d)

A 3-year loan with an 8.4% annual simple interest rate

114.

5Which table represents a non-proportional relationship between x and y?

a)

b)

c)

d)

115.

Triangle TRW is shown on the coordinate grid.

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R'?

a)

b)

( 3− n, −5n)

c)

( -3 + n, −5 + n)

d)

( -3 − n, − 5 -n)

116.

A student’s parents invested $5,000 in a college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made. Which amount is closest to the interest earned on the account at the end of 15 years?

a)

$5,174.11

b)

$10,174.11

c)

$3,637.50

d)

$8,637.50

117.

Triangle XYZ is rotated 90° clockwise about the origin to form triangle X Y′ ′Z′.

Which statement is true?

a)

The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X Y′′′ Z .

b)

The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X Y′′′ Z .

c)

Triangle XYZ is not congruent to triangle X Y′′′ Z .

d)

The area of triangle XYZ is equal to the area of triangle X Y′′′ Z .

118.

A college has two classrooms of students.

• Classroom A had 70 students.

• Classroom B had 30 students.

• Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students.

The equation shown can be used to find the number of groups that Classroom A sent to Classroom B so each classroom had the same number of students.

70 - 4x = 30 + 4x

How many groups did Classroom A send to Classroom B?

4 lines

119.

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.

Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

a)

t = 15w − 275

b)

t = −15w + 275

c)

t = 275w − 15

d)

t = −275w + 15

120.

The scatterplot shows the height in centimeters and weight in kilograms of several students.

Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

a)

152 cm

b)

160 cm

c)

162 cm

d)

156 cm

121.

A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

a)

A rotation of 270° counterclockwise

b)

A reflection across the y-axis

c)

A dilation by a scale factor of 1.5

d)

A translation of 50 units down

122.

A teacher bought markers at a cost of $3 per set. The teacher had a $2-off coupon to use toward the total cost of the markers bought.

Which table shows the relationship between x, the number of sets of markers bought by the teacher, and y, the total cost of the markers?

a)

b)

c)

d)

123.

The diameter of a cylinder is 2.5 inches, and the height is 7.5 inches. Which equation can be used to find V, the volume of the cylinder in cubic inches?

a)

b)

c)

d)

124.

Triangle KLM and triangle PRS are similar right triangles.

Which proportion can be used to show that the slope of KM is equal to the slope of PS?

a)

b)

c)

d)

125.

The table shows the diagonal lengths of TV screens at a store.

Which TV screen has the smallest diagonal length in feet?

a)

W

b)

X

c)

Y

d)

Z

126.

A math teacher observed that as the number of hours students studied their multiplication facts increased, the number of errors the students made on their multiplication tests decreased. Which scatterplot could support this teacher’s observation?

a)

b)

c)

d)

127.

The diagram shows the height of a cone that holds ice cream. The cone has a volume of 1.5π cubic inches.

Which measurement is closest to the radius of the cone in inches?

a)

0.6 in.

b)

1.4 in.

c)

1.0 in.

d)

0.5 in.

128.

Which set of ordered pairs represents y as a function of x?

a)

{(0, 0.5), (2, 1.5), (−5.5, 5), (−5.5, −6)}

b)

{(5, −7), (3, −7), (−9.2, −7), (9.2, −7)}

c)

{(9.3,-1), (7.3, -2), (7.3, 2), (9.3, 1)}

d)

{(8.1, 9), (9.1, 10), (10.1, 9), (9.1, 8)}

129.

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L M′ ′N′P′Q′R′. The vertex Q′ will be located at (21, 7).

Which rule best represents the dilation?

a)