Free Printable 8th Grade Review

1.

The y intercept is AWESOME! It helps us to know...

a)

Where our line will end.

b)

If our line is positive or negative.

c)

Where to start graphing our line.

2.

When graphing, what do you do after you graph your y-intercept?

a)

Find slope and start with your run(left or right) then to rise (up or down)

b)

Find slope and start with your rise (up or down) then to run (left or right)

c)

Draw a vertical line

d)

Draw a horizontal line

3.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

4.

Which graph best represents the equation y = -3x + 4?

a)

b)

c)

d)

5.

Which is the graph of the equation y = -2x + 1?

a)

b)

c)

d)

6.

Which graph represents y = 3x?

a)

b)

c)

7.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

8.

Which is the graph of the equation ?

y=\frac{1}{3}x\ -\ 2

a)

b)

c)

d)

9.

Which is the graph of the equation ?

y\ =\ -2x\ +\ 1

a)

b)

c)

d)

10.

Which is the graph of the equation ?

y\ =\ -x\ +\ 2

a)

A

b)

B

c)

C

d)

D

11.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right two, down five

b)

right two, down 9

c)

left two, up 9

d)

left two, down 5

12.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

13.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

14.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

15.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

16.

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

17.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

18.

Rotating a pre-image _____degrees will place it back to its original position.

a)

180

b)

90

c)

270

d)

360

19.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

20.

Translate the point A (-3, 4) right 5 and up 1

a)

(-2, 9)

b)

(-8, 5)

c)

(8, 3)

d)

(2, 5)

21.

Describe the transformation shown in the graph.

a)

Reflect over x-axis

b)

Reflect over y-axis

c)

Rotate 270 degrees CCW

d)

Rotate 90 degress CCW

22.

A flip is also called ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

23.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

24.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

25.

How is the blue triangle rotated to the red triangle?

a)

90 clockwise

b)

90 counterclockwise

c)

180 clockwise

d)

180 counterclockwise

26.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

27.

What color is the y-axis?

a)

red

b)

black

c)

green

d)

white

28.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

29.

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

a)

12 in²

b)

144 in²

c)

194 in²

d)

13.9 in²

30.

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

31.

Is this table a function or not a function?

a)

Function

b)

Not a Function

32.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

33.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

34.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

35.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

36.

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)

37.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

38.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

39.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

40.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

41.

What is the formula for Volume of a Cone?

a)

V=π r³h

b)

V=π r²h

c)

V=(1/3)π r²h

d)

V=(4/3)π r³

42.

Find the volume of the Cone.

a)

$30,520.8\ km^3$

b)

$122,083.2\ km^3$

43.

What is the formula for volume of a CYLINDER?

a)

V = π r²

b)

V = π r² h

c)

V = ⅓ π r² h

d)

V = ⅓ L W H

44.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

45.

What is the formula for a sphere.

a)

$V\ =\ \pi r^2h$

b)

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

c)

$V\ =\ \frac{4}{3}\pi r^3$

d)

$V\ =\ \pi r^2$

46.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

47.

v = ?

a)

2,144.66 m³

b)

1,608.49 m³

c)

536.17 m³

d)

498.62 m³

48.

If a tennis ball has a diameter of 2.5 in, What is the volume of the tennis ball? Use 3.14 for pi.

a)

5.8 in³

b)

3.62 in³

c)

8.18 in³

d)

25.1 in³

49.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

a)

810 cm³

b)

2543.4 cm³

c)

847.8 cm³

d)

2826 cm³

50.

Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

51.

You have a globe that has a radius of 11 inches. Find the volume of your globe.

a)

523 in³

b)

16,717 in³

c)

5,575 in³

d)

7,235 in³

52.

V = ?

a)

1,077.02 yd³

b)

269.255 yd³

c)

153.86 yd³

53.

What is x²𑁦 x⁷

a)

x⁵

b)

^5x

c)

x⁹

d)

9x

54.

Simplify: $\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

55.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

56.

True or False?

a)

True

b)

False

57.

(a)

58.

(a)

59.

a)

A

b)

B

c)

C

d)

D

60.

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

61.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

62.

Write 7.8 x 10^-3in standard form.

a)

0.0078

b)

7,800

c)

78

d)

0.078

63.

What is the standard form?
1.245 x 10³

a)

0.001245

b)

12.45

c)

1245

64.

What is the relationship between the sides in the Pythagorean Theorem shown?

Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

65.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

66.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

67.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

68.

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

a)

yes

b)

no

69.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

70.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

71.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

72.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

73.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

74.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

75.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

76.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

77.

√64=___

a)

+ 6 only

b)

± 6

c)

± 8

d)

+ 8 only

78.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

79.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

80.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

81.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

82.

What is the value of the expression?

a)

64

b)

8

c)

4

d)

2

83.

What is the value of the expression?

a)

125

b)

25

c)

5

d)

√5

84.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

c)

y=-5x + 20

d)

y = 5x - 20

85.

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

a)

y = 4x + 1.50

b)

y = 1.50x + 4

c)

y = -4x +1.50

d)

y = 4x - 1.50

86.

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.

a)

y = - 2,000x + 30,000

b)

y = - 2,000x - 30,000

c)

y = 30,000x + 2,000

d)

y = -30,000x + 2,000

87.

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

a)

C = 50h + 25

b)

C = 25h + 50

c)

C = 50h - 25

d)

H = 25h - 50

88.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

a)

y = 30x + 20

b)

y = 20x + 30

c)

y = 50x

d)

y = 60x

89.

Write the equation that represents this word problem:

Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

a)

y= 8x + 3x

b)

y= 3x + 8

c)

y= 8x + 3

d)

y= 3 + 8

e)

Answer Not Here

90.

Write the equation that represents this word problem:

Nicholas received $100 for his birthday. He decides to spend $20 per day on whatever he wants.

a)

y= 20x + 100

b)

y= -20x - 100

c)

y= 20x - 100

d)

y= -20x + 100

e)

Answer Not Here

91.

Write the equation that represents this word problem:

Olivia runs every day after school. She has already run 4 miles, and she can run one mile per hour.

a)

y= x + 4

b)

y= -x + 4

c)

y= 4x + 1

d)

y= 4x - 1

e)

Answer Not Here

92.

Write the equation that represents this word problem:

Quincy notices that a tree grows by about one inch every month since bought it. When he bought the tree, it was 18 inches tall.

a)

y= 18x + 1

b)

y= 18x - 1

c)

y= x + 18

d)

y= x - 18

e)

Answer Not Here

93.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

94.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 12.5x + 30

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

95.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 25.5 + 8.5x

c)

y = 8.5 + 25.5x

96.

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

a)

y = 40 + 2x

b)

y = - 2x + 40

c)

y = 2 + 40x

d)

y = 2 - 40x

97.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = - 30x + 100

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

98.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

99.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

a)

y = 30x + 20

b)

y = 30 + 20x

c)

y = 50x

d)

y = 60x

100.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

101.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

102.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

103.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

104.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

105.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

106.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

107.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

108.

Find slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

109.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

110.

a)

Function

b)

Not a Function

111.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

112.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

113.

Which panda is growing faster?

a)

Mochi

b)

Kappa

c)

Po the dragon warrior

d)

Jack Black

114.

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

a)

20x + 15 = y

b)

35x = y

c)

15x + 20y = 150

d)

150 - 20x = 15y

115.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

116.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

4

c)

-4

d)

3

117.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

118.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

119.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

120.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

121.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

122.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

123.

What is a one-step equation?

a)

A problem where multiple operations are present.

b)

A problem where the variable is missing.

c)

An equation where only one step (operation) is needed to solve it.

d)

An equation where two steps (two operations) are needed to solve it.

124.

What is a two-step equation?

a)

An equation where two steps (or operations) are needed to solve it.

b)

An equation where only one step is needed to solve it.

c)

A problem with only one operation present.

d)

A problem where you find the square-root of a number.

125.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

126.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

127.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

128.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

129.

What is the first step in solving the equation?

a)

Add 4 to each side

b)

Subtract 4 from each side

c)

Subtract 2y from each side

d)

Divide each side by 2y

130.

In the equation 4p = 20 the variable, p, is being multiplied by 4. How should you show your work to isolate the variable and solve the equation?

a)

Multiply both sides by 4.
The solution is x = 80.

b)

Subtract 4 from both sides.
The solution is p = 16.

c)

Add 4 to both sides. The solution is p = 24.

d)

Divide both sides by 4. The solution is p = 5.

131.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

132.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

133.

Solve the equation.

a)

y = 3

b)

y = -3

c)

y = 4

d)

y = -4

134.

-15 = -10 + 5n

What is the first step in solving the equation above?

a)

Subtract 15 from each side.

b)

Subtract 10 from each side.

c)

Add 15 to each side.

d)

Add 10 to each side.

135.

36 = -10 + 2n

What is the SECOND step in

solving the equation above?

a)

Divide by 2 on each side.

b)

Subtract 10 from each side.

c)

Divide by -2 on each side.

d)

Add 10 to each side.

136.

6n

What inverse operation would you do to isolate the variable above?

a)

Multiply by -6

b)

Divide by 6

c)

Multiply by 6

d)

Divide by -6

137.

-5 + m

What inverse operation would you

do to isolate the variable above?

a)

Add -5

b)

Add 5

c)

Subtract 5

d)

Divide by -5

138.

$5+w=17$

What is w?

a)

w = 17

b)

w = 22

c)

w = 5-17

d)

w = 12

139.

$10u\ -\ 21=3u$

What does u =

a)

u = -21

b)

u = 3

c)

$u=\frac{10}{21}$

d)

u = 0

140.

$9-2x=35$

What is x?

a)

x=22

b)

x=-13

c)

$x=\frac{35}{9}$

d)

x=-4

141.

$19=t+2$

What is a good first step to solve this equation?

a)

Subtract 2 from both sides.

b)

Add 2 to both sides.

c)

Subtract 19 from both sides

d)

Add 19 to both sides.

8th Grade Review

Total questions: 141

Worksheet time: 9hrs 3mins

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