Free Printable Grade 8 Math Review

1.

What is the formula that represents the Pythagorean Theorem?

a)

$a^2+b^2=c^2$

b)

a + b = c

c)

$\left(a+b\right)^2\ =\ c^2$

2.

What is the value of x?

(a)

3.

What is the value of y?

a)

80

b)

208

c)

$\sqrt{80}$

d)

$\sqrt{208}$

4.

What is the value of u?

(a)

5.

A 13 foot ladder is leaning against a building. The top of the ladder is touching the wall 12 feet from the floor. How far away is the base of the ladder from the wall?

(a)

6.

True or False:

A triangle with side lengths 3, 4, and 5 is a right triangle

a)

True

b)

False

7.

True or False:

A triangle with side lengths 6, 12, and 13 is a right triangle.

a)

True

b)

False

8.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

d)

Shapes

9.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

10.

When you translate, you ______ a number to x and y.

a)

Add or subtract

b)

Multiply or divide

c)

Add or multiply

d)

Subtract or divide

11.

Translations are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

12.

When you translate, (x, y) → (x-4,y) will move _________.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

13.

When you translate, (x, y) → (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

14.

When you reflect a shape, you ______ over an axis or line.

a)

Flip

b)

Rotate

c)

Slide

d)

Expand

15.

Write a rule for the translation.

a)

(x, y) → (x -1, y + 2)

b)

(x, y) → (x -2, y + 1)

c)

(x, y) → (x +2, y - 1)

d)

(x, y) → (x +1, y - 2)

16.

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

a)

Rotate 90^o clockwise

b)

Rotate 90^o counter clockwise

c)

Reflection across the y-axis

d)

Reflection across the x-axis

17.

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)

Rotate 90^o counter clockwise

18.

Identify the transformation.

a)

Reflection across y-axis

b)

Rotate 90° counter clockwise

c)

Translation 5 units left, and 1 unit up.

d)

Translation 5 units right, and 1 unit down

19.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

20.

Point (7,2) is translated up 2 units and left 5 units. Where is the new point located?

a)

(9,-3)

b)

(2,4)

c)

(2,0)

d)

12,4)

21.

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

a)

(-5,-6)

b)

(5,-6)

c)

(6,5)

d)

(-6,5)

22.

Which rule would result in a translation of 2 units left and 3 units up?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (-x, -y)

d)

(x, y) → (x + 2, y - 3)

23.

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

a)

(x, y) →(x+8, y+4)

b)

(x,y) →(x-8, y-4)

c)

(x, y) →(x+4, y+8)

d)

(x, y) →(x-4, y-8)

24.

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)

25.

The result of a transformation.

a)

Pre-image

b)

Image

26.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

27.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

rotation

b)

translation

c)

reflection

d)

dilation

28.

Reflections over the x-axis change the ____-__________.

a)

y-coordinate

b)

x-coordinate

c)

no coordinate

d)

both coordinate

29.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

c)

shape

d)

transformation

30.

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

a)

y-axis

b)

x-axis

c)

None, this is a translation

d)

None, this is a rotation

31.

Identify the transformation from A to D.

a)

Rotate 90^o Clockwise

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

32.

If a triangle is transformed following the rule (x,y)→(4x,4y), what transformation is modeled?

a)

Dilation

b)

Reflection

c)

Translation

d)

Rotation

33.

When you translate, you are simply _______ the shape around the coordinate plane.

a)

Sliding

b)

Rotating

c)

Reflecting

d)

Expanding

34.

Going from (x,y) to (-y,x) will result in a counter-clockwise rotation of _____ degrees.

a)

90

b)

180

c)

270

d)

360

35.

Rotate the point (7,8) around the origin 90 degrees counterclockwise. State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

36.

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the transformation (x, y)→(x+2, y-1)?

a)

(3, -3), (-1, 5), (6, 4)

b)

(-3, -3), (1, 5), (-6, 4)

c)

(1, -3), (5, 5), (-2, 4)

d)

(-1, -2), (3, 6), (-4, 5)

37.

If point P(2, -3) is rotated 180 degrees around the origin, then the image is at

a)

(-2, 3)

b)

(-2, -3)

c)

(3, -2)

d)

(-3, -2)

38.

What is the slope-intercept form of the equation of a line?

a)

y=yx+b

b)

y=mx+b

c)

x=yx+b

d)

x=xy+b

39.

What does the b mean in y=mx+b?

a)

Slope

b)

Nothing

c)

x-intercept

d)

y-intercept

40.

How do you calculate slope using a graph?

a)

rise over run

b)

run over rise

c)

look at the y intercept

d)

look at the x intercept

41.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

42.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

43.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

44.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

45.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

46.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

47.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

48.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

49.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

50.

What is the Slope represented in this table?

a)

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

b)

slope: $-4$

c)

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

d)

slope: $4$

51.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

52.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

53.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

54.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

55.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

56.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

57.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

58.

This is found by subtracting the data values from the mean and finding the absolute value.

a)

Absolute Value

b)

Absolute Deviation

c)

Mean

d)

M.A.D.

59.

Another word for variability.

a)

Consistency

b)

Scatterplot

c)

Distance

d)

Spread

60.

How much distance or space there is in a data set.

a)

Consistency

b)

Inconsistency

c)

Variability

d)

Scatterplot

61.

This shows the type of relationship between two things.

a)

Correlation

b)

Mean Absolute Deviation

c)

Trend Line

d)

Consistency

62.

What is the third step when calculating Mean Absolute Deviation?

a)

Find the mean.

b)

Find the absolute deviations or distances from the mean.

c)

Find the mean of the absolute deviations.

d)

Find the absolute Value.

63.

A graph that shows the relationship between two sets of data graphed as ordered pairs.

a)

Dot Plot

b)

Scatter Plot

c)

Line Graph

d)

Correlation

64.

Which is the correct way to draw a trend line on a scatterplot?

a)

Following the trend, by connecting the points given.

b)

Following the trend, with the same number of points above as below.

c)

Just above the given data.

d)

Just below the given data.

65.

What is Mean Absolute Deviation?

a)

The average distance of a data's values from the mean

b)

The average distance the data is from 0

c)

Absolute Value

d)

Distance

66.

What is the first step when calculating Mean Absolute Deviation?

a)

Find the mean.

b)

Find the absolute deviations or distances from the mean.

c)

Find the mean of the absolute deviations.

d)

Find the absolute Value.

67.

What is the second step when calculating Mean Absolute Deviation?

a)

Find the mean.

b)

Find the absolute deviations or distances from the mean.

c)

Find the mean of the absolute deviations.

d)

Find the absolute Value.

68.

Make a prediction for a resting heart rate after 6 hours of exercise a week.

a)

6

b)

50

c)

55

d)

80

69.

Which describes the scatterplot?

a)

As speed increases distance decreases.

b)

As speed increases, distance increases.

c)

As speed decreases distance increases.

70.

Which M.A.D. would show the most variability?

a)

.5

b)

1

c)

1.5

d)

2

71.

Which M.A.D. would show the most consistency?

a)

.5

b)

1

c)

1.5

d)

2

72.

Which could be two points on the trend line?

a)

(0, 40) and (5, 80)

b)

(1,40) and (6, 80)

c)

(0, 0) and (5, 100)

d)

(0, 0) and (5, 80)

73.

Given the points (0, 16) and (2, 20) write an equation for the line.

a)

y=1/2x + 16

b)

y= 1/2x - 16

c)

y = 2x + 16

d)

y = 2x - 16

74.

If a trend line has an equation y = 12x + 13 make a prediction when x = 9.5

a)

25

b)

127

c)

34.5

d)

121

75.

Which is the correct data set for the dot plot?

a)

1, 2, 3, 4, 5, 6, 7, 8, 9,

b)

1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 7, 9

c)

1, 2, 3, 4, 5, 7, 9

76.

Amelie is comparing two data sets. Data set A has a mean absolute deviation of 4.5 and data set B has a mean absolute deviation of 9.9. What conclusion can Amelie make about the two data sets?

a)

The average of set A is less than the average of set B.

b)

The data in set A is more spread out that the data in set B.

c)

The data in set A is less spread out than the data in set B.

77.

What is the mean absolute deviation for the data set below? Round your answer to the nearest tenths. {24, 45, 54, 35, 25, 37, 31, 29}

a)

35.0

b)

7.8

c)

8.5

d)

7.1

78.

10 = s - 12

a)

s = 2

b)

s = -2

c)

s = 22

d)

s = -22

79.

a)

b = 2

b)

b = -8

c)

b = 8

d)

b = -2

80.

a)

b)

c = 3

c)

c = -3

d)

c = 2

81.

-3x + 7 = -2

a)

x = -27

b)

x = 27

c)

x = 3

d)

x = -3

82.

-6 = -2(-1 + 2n)

a)

n = 2

b)

n = -2

c)

n = - 3

d)

n = 3

83.

$\frac{3x\ -\ 7}{-4}\ =\ -8$

a)

x = 1/3

b)

x = - 1/3

c)

x = -13

d)

x = 13

84.

$\frac{x\ -\ 3}{-3}\ =\ 7$

a)

x = - 24

b)

x = 24

c)

x = -18

d)

x = 18

85.

2 (-3m + 4 ) = -4

a)

m = -2

b)

m = 2

c)

d)

86.

5(6p - 3) -2 = 2(15p - 11) + 5

a)

a = no solution

b)

a = infinite solutions

c)

a = 3

87.

a)

x = -6

b)

x = 4

c)

x = 2

d)

x = -2

88.

7p + 7(-p + 2 ) = -22

a)

p = infinite solutions

b)

p = no solution

c)

p = -9

d)

p = 9

89.

2x - 5 = 3x -4(2x + 3)

a)

x = 15

b)

x = - 15

c)

x = -1

d)

x = 1

90.

-13 + 3r = 17 - 2r

a)

r = 6

b)

r = infinite solutions

c)

r = no solution

91.

-4(5s - 8) = -14 - (-3s)

a)

s = -2

b)

s = 2

c)

s = -17/16

d)

s = 17/16

92.

Challenge: -1/10 ( 7x + 5/2) = 1/4 (16x/5 -25)

a)

x = 2

b)

x = 4

c)

x = 6

93.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

94.

The triangles are similar, which side corresponds to side YX?

a)

AD

b)

AB

c)

BC

d)

DC

95.

Complete each proportion.

CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

96.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

97.

What is the height of the statue(h)?

a)

20

b)

30

c)

25

d)

23

98.

a)

A

b)

B

c)

C

d)

D

99.

a)

30 square inches

b)

10 square inches

c)

60 square inches

d)

20 square inches

100.

Which list of numbers is in order from least to greatest?

A. 5/8, 9/16, 5/12

B. 5/12, 9/16, 5/8

C. 9/16, 5/12, 5/8

D. 9/16, 5/8, 5/12

a)

A

b)

B

c)

C

d)

D

101.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

102.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

103.

What is 37% as a decimal?

a)

37

b)

3.7

c)

.37

d)

.037

104.

Which set is in descending order?

a)

15% .45 9/10

b)

.45 15% 9/10

c)

9/10 15% .45

d)

9/10 .45 15%

105.

Order 3π, √ 10 , and 3.25 from greatest to least.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

106.

The first number in scientific notation must be...

a)

Bigger than 0 and smaller than 10

b)

Bigger than 1 and smaller than 10

c)

Bigger than 1 and smaller than 9

d)

Bigger than 0 and smaller than 9

107.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

108.

What is the standard form?
1.245 x 10³

a)

0.001245

b)

12.45

c)

1245

109.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

110.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

111.

How do you write 1.28 x 10^-4

a)

0.128

b)

0.0000128

c)

0.0128

d)

0.000128

112.

Put the following in scientific notation:
23,948

a)

23.948 x 10³

b)

2.3948 x 10⁴

c)

2.3948 x 10^-4

d)

0.23948 x 10⁵

113.

Put the following number in scientific notation:
4,281

a)

4.281 x 10³

b)

0.4281 x 10⁴

c)

4.281 x 10^-3

d)

42.81 x 10²

114.

Put the following number in scientific notation
0.004362

a)

4.362 x 10³

b)

4.362 x 10^-3

c)

0.4362 x 10^-2

d)

43.62 x 10^-4

115.

Put the following number in scientific notation:
0.062

a)

0.62 x 10¹

b)

62

c)

6.2 x 10^-2

d)

6.2 x 10²

116.

What is the slope?

a)

1/2

b)

2

c)

7

d)

3

117.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

118.

What is the slope?

a)

-21

b)

-17

c)

1/4

d)

4

119.

What is the slope?

a)

2/5

b)

5/2

c)

3

d)

5.5

120.

What is the slope?

a)

2

b)

1/2

c)

1

d)

1.5

121.

What is the slope?

a)

5

b)

1/5

c)

15

d)

10

122.

What is the slope of the table?

a)

15

b)

6

c)

1/6

d)

-6

123.

What is the slope of the table?

a)

1/2

b)

2

c)

-2

d)

3

124.

What is the slope of the table?

a)

1/4

b)

4

c)

-6

d)

-4

125.

What is the slope?

a)

1/3

b)

3

c)

10

d)

-3

126.

What is the y-intercept?

a)

-1/3

b)

-3

c)

-4

d)

5

127.

What is the y-intercept?

a)

0

b)

3

c)

3/4

d)

4/3

128.

What is the y-intercept?

a)

-1/3

b)

3

c)

0

d)

8

129.

What is the y-intercept?

a)

-5

b)

24

c)

0

d)

3

130.

What is the y-intercept?

a)

1/4

b)

-5

c)

5

d)

-4

131.

What is the y-intercept?

a)

65

b)

60

c)

70

d)

-5

132.

What is the y-intercept?

a)

15

b)

1/25

c)

0

d)

14.6

133.

What is the y-intercept?

a)

250

b)

200

c)

180

d)

150

134.

What is the y-intercept.

a)

-4

b)

6

c)

4

d)

0

135.

What is the y-intercept?

a)

1/2

b)

2

c)

7

d)

3

136.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

137.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

138.

What is the solution?
(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

139.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

140.

Solve the system by graphing:
y = 6x - 4
y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)

141.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

142.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

143.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

144.

Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

a)

(1, 12)

b)

(3, 19)

c)

(5, 25)

d)

(0, 10)

145.

Solve by graphing.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

146.

Solve the system by graphing:
y = 6x - 4
y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)

147.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

148.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

149.

Graph this system of equations:

a)

b)

c)

d)

150.

Solve:
y = 8x + 2
y = -x - 7

a)

(1, 10)

b)

(-1, -6)

c)

(2, 7)

d)

(9, 9)

Grade 8 Math Review

Total questions: 150

Worksheet time: 8hrs 13mins

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