Free Printable 8th grade math 3rd 9 Weeks Test Review

1.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

2.

Estimate the square root.

a)

7

b)

8

c)

9

d)

10

3.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

4.

The area of a square is 100 cm². What is the perimeter?

a)

25 cm

b)

10 cm

c)

40 cm

d)

50 cm

5.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

6.

Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?

a)

√8

b)

√17

c)

√12

d)

√10

7.

Estimate √89 to the nearest tenth:

a)

9.4

b)

9.1

c)

9.9

d)

10.1

8.

Classify the number: -23

a)

natural, whole, integer, rational, real

b)

integer, rational, real

c)

integer, irrational, real

d)

whole, integer, rational, real

9.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

10.

Classify the number:

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

11.

Classify the Number: 2.587

a)

irrational, real

b)

rational, real

c)

integer, rational, real

d)

integer, irrational, real

12.

A number can be rational and irrational.

a)

True

b)

False

13.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

14.

Is the number rational or irrational?

a)

Rational

b)

Irrational

15.

Is the number rational or irrational?

a)

Rational

b)

Irrational

16.

Is the number rational or irrational?

a)

Rational

b)

Irrational

17.

Is the number rational or irrational?

a)

Rational

b)

Irrational

18.

Is the number rational or irrational?

a)

Rational

b)

Irrational

19.

Is the number rational or irrational?

a)

Rational

b)

Irrational

20.

Is the number rational or irrational?

a)

Rational

b)

Irrational

21.

Is the number rational or irrational?

a)

Rational

b)

Irrational

22.

Is the number rational or irrational?

a)

Rational

b)

Irrational

23.

Is the number rational or irrational?

a)

Rational

b)

Irrational

24.

Is the number rational or irrational?

a)

Rational

b)

Irrational

25.

Is the number rational or irrational?

a)

Rational

b)

Irrational

26.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

27.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

28.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

29.

Michelle purchased a kids table with a square top. If the area of the square top is 400 square inches, what is the length of one of the sides?

a)

20 inches

b)

200 inches

c)

80 inches

d)

800 inches

30.

$Evaluate\ \sqrt{225\ }\ \ +\ \sqrt{169}\ .$

(a)

31.

Order $\frac{1}{4},\ -4,\ \sqrt[]{3}\ ,\ \frac{-7}{4},\ 3.7$ from least to greatest

a)

$-4,\ -\frac{7}{4\ },\ \frac{1}{4\ },\ \sqrt[]{3},\ 3.7$

b)

$\ -\frac{7}{4\ },-4,\ \ \frac{1}{4\ },\ \sqrt[]{3},\ 3.7$

c)

$-4,\ -\frac{7}{4\ },\ \sqrt[]{3},\ 3.7,\ \frac{1}{4}$

d)

$\ \frac{1}{4\ },\ -\frac{7}{4\ },\ \sqrt[]{3},\ 3.7,\ -4$

32.

$\sqrt[3]{-27}$

a)

-3

b)

3

c)

$\pm3$

d)

-9

33.

Which number is rational?

a)

$\pi$

b)

$\sqrt[]{110}$

c)

$\sqrt[]{100}$

d)

$0.372...$

34.

$\sqrt[]{\frac{\text{16}}{\text{81}}}$

a)

4 • 9 = 36

b)

$\frac{4}{9}$

c)

4

d)

9

35.

$\sqrt[]{\frac{9}{100}}$

a)

$\frac{9}{10}$

b)

$\frac{3}{10}$

c)

$3$

d)

$\sqrt[]{9}-10$

36.

Level 3: Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

37.

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

a)

True

b)

False

38.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

39.

True or False:

a)

True

b)

False

40.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

41.

True or False?

a)

True

b)

False

42.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

43.

Any nonzero number to the zero power is equal to 1.

a)

True

b)

False

44.

Simplify 4^-2=

a)

$\frac{1}{4^2}$

b)

-16

c)

$16$

d)

$\frac{4^2}{1}$

45.

a)

True

b)

False

46.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

47.

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

48.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

49.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

50.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

51.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

52.

Solve:
(9 x 10^-6) divided by (3 x 10^-3)

a)

27 x 10^-9

b)

3 x 10^-3

c)

3 x 10^-9

d)

27 x 10^-3

53.

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

54.

The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

55.

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

a)

4.3092 x 10¹

b)

3.9098 x 10⁷

c)

3.9098 x 10⁸

d)

5.7678 x 10⁸

56.

A microgram is equal to 1 x 10 ^-6grams. How many times greater than a microgram is 1 x 10²grams?

a)

1 x 10^-8

b)

1 x 10^-4

c)

1 x 10⁴

d)

1 x 10⁸

57.

In order to solve an equation, we must get variables on side of an equation, and constants on the opposite side.

a)

True

b)

False

58.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

59.

4(6k - 12) = 3(8k - 16)

a)

x = 3

b)

x = -3

c)

no solutions

d)

infinite solutions

60.

Determine the number of solutions to this problem:
$5\left(3x+8\right)=10x+40$

a)

no solution

b)

one solution

c)

infinite solutions

61.

Determine the number of solutions for this problem:
$5x+3\left(2-x\right)=10x+9-8x$

a)

no solution

b)

one solution

c)

infinite solutions

62.

Determine the number of solutions to the problem:
$-4x+12+10x=6\left(x+2\right)$

a)

no solution

b)

one solution

c)

infinite solutions

63.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

64.

Find the slope of the line below using rise/run.

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

65.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

66.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

$\frac{y_2-y_1}{x_2-x_1}$

67.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$2\ \frac{1}{2}$

d)

2

68.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

69.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

70.

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

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

71.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

72.

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

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

73.

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

74.

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

a)

b)

c)

d)

75.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

76.

Find the slope from the given points:

(3,-1) (4,7)

(a)

77.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

78.

Write the slope-intercept form of the equation with the given point and slope.

Through ( - 1,4 ) and m = - 3

a)

y = x - 3

b)

y = - 3x + 1

c)

y = x + 2

d)

y= - 3x + 4

79.

Write an equation

m = - 1/2 through ( -2, 4 )

a)

y = - 3/2x + 3

b)

y = 3/2x + 3

c)

y = - 1/2x + 3

d)

y = 3x - 3/2

80.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

81.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

82.

If a line has a slope of -1/7 a line that is perpendicular has a slope of what?

a)

7

b)

-7

c)

-1/7

d)

1/7

83.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

84.

If a line has a slope of -5/6 a line that is parallel has a slope of what?

a)

-5/6

b)

6/5

c)

5/6

d)

-6/5

85.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y-5=-3(x-10)

b)

y=-3x+35

c)

y+5=-3(x+10)

d)

y=-3x-35

86.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

87.

Warm Up!

After converting from standard form to slope-intercept form, what will the following equation look like?

$4x+2y=6$

a)

$y=2x+3$

b)

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

c)

$y=-2x+3$

d)

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

88.

What is a solution to a system of linear equations?

a)

The point where both lines intersect

b)

The point where the y-axis and x-axis meet

c)

An ordered pair that both lines share

d)

A salt dissolved in water

89.

What would the solution be to this system of linear equations?

a)

(0,-1.5)

b)

(1, -3)

c)

(5,0)

d)

(0,0)

90.

When would we get "infinitely many solutions" to a system of equations?

a)

The lines are parallel, never intersecting

b)

The lines cross at one point

c)

The lines are the same and overlap at all points

d)

The lines cross at 2 points

91.

When will we get "no solutions" from a system of equations?

a)

The two lines cross once

b)

The two lines are the same and overlap

c)

The two lines are parallel and never touch

d)

The two lines cross at 2 points

92.

Which of the following graphs would fit the system of equations?

$y=2x-4$

$y=-\frac{1}{2}x+1$

a)

b)

c)

93.

Graph the equation

$y=-\frac{1}{5}x$

94.

Graph the equation

$y=3x-5$

95.

Find the solution to the system.
y = x-6
y = -3x + 2

a)

(0, -6)

b)

(6, 0)

c)

(-4, 2)

d)

(2, -4)

96.

What kind of lines have no solution to a system of equations

a)

Parallell Lines

b)

Overlapping lines

c)

Intersecting Lines

d)

Skew Lines

97.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

98.

What is the solution to this system?
x = 7 - 2y
2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

99.

5x - 4y =-16
x+ 2y = -6

a)

(-4,-1)

b)

(5,-1)

c)

(-5,-1)

d)

(4,1)

100.

What is the x-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

101.

What is the y-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

102.

Identify the x-intercept:

2x+5y=10

a)

(2, 0)

b)

(0, 2)

c)

(5, 0)

d)

(0, 5)

103.

Identify the y-intercept:

2x+5y=10

a)

(2, 0)

b)

(0, 2)

c)

(5, 0)

d)

(0, 5)

104.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

105.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

106.

Trevor and Kylie are selling fruit for a school fundraiser. Customers can buy small boxes of oranges (x) and large boxes of oranges (y). Trevor sold 3 boxes of small oranges and 14 boxes of large oranges for a total of $203. Kylie sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.

a)

$14x\ +\ 3y\ =\ 203$
$11x\ +\ 11y\ =\ 220$

b)

$3x\ +\ 14y\ =\ 203$
$11x\ +\ 11y\ =\ 220$

c)

$3x\ +\ 14y\ =\ 220$
$11x\ +\ 11y\ =\ 203$

d)

$14x\ +\ 3y\ =\ 220$
$11x\ +\ 11y\ =\ 203$

107.

What method would you use to solve the system below?

y\ =\ 3x

2x\ +\ 2y\ =\ 86

a)

Graphing

b)

Substitution

c)

Elimination

108.

Eliezer's Ice-Cream Shop sells sundaes (x) for $2 and banana splits (y) for $3. On a hot summer day, he sold 8 more sundaes than banana splits and made $156.

a)

$x\ =\ y\ +\ 8$
$3x\ +\ 2y\ =\ 156$

b)

$y\ =\ x+8$
$2x\ +\ 3y\ =\ 156$

c)

$x\ =\ 8y$
$2x\ +\ 3y\ =\ 156$

d)

$x\ =\ y\ +\ 8$
$2x\ +\ 3y\ =\ 156$

109.

Find the slope when given the following points: (1,6) and (3,-4)

a)

5

b)

1/5

c)

-5

d)

-1/5

110.

Find the slope of the given table.

a)

1/4

b)

4

c)

-1/4

d)

-4

111.

What is the situation of the linear graph?

a)

The beaker is being filled.

b)

The beaker is being emptied.

c)

The beaker is remaining the same amount

112.

What is the meaning of the y-intercept of this graph?

a)

when the gas take is empty

b)

starting amount of gas

c)

rate at which the gas take empties

d)

the starting mileage

113.

What is the starting temperature in the tank?

a)

82 degrees

b)

100 degrees

c)

5 degrees

d)

80 degrees

114.

What is the meaning of the coordinate (4, 74)?

a)

At 74 hours, the temperature of the tank is 4 degrees.

b)

At 4 hours, the temperature of the tank is 74 degrees.

c)

After 4 hours the temperature of the take is 47 degrees.

115.

What is the y-intercept of this graph?

a)

60 ounces of jelly remaining

b)

50 ounces of jelly remaining

c)

70 ounces of jelly remaining

d)

0 ounces of jelly remaining

116.

What is the slope or rate of change for the graph?

a)

$m=\frac{1}{3}$

b)

$m=\frac{3}{5}$

c)

$m=\frac{5}{3}$

d)

$m=\frac{2}{3}$

117.

WARM UP (NSR): Organize these options into the right categories

Categorize the following

Proportional

Not Proportional

118.

WARM UP (NSR): Organize these options into the right categories

Categorize the following

$y=10x$

$y=\frac{5}{3}x$

$y=3x+4$

$y=-9x$

$y=3.2x$

$y=4x-7$

PROPORTIONAL

NOT PROPORTIONAL

119.

Is this table proportional?

a)

Yes, the ratios in the table

are equivalent to each other.

b)

No, the ratios in the table

are not equivalent to each other.

120.

Is this graph proportional?

a)

Yes, the line goes through the origin and

is straight.

b)

No, the line does not go through the origin.

121.

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.

a)

Proportional

b)

Non-Proportional

122.

Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.

a)

Proportional

b)

Non-proportional

123.

What is the unit rate in this proportional relationship?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

124.

Compare the rates that each rental store charges per hour.

a)

Water's Edge Rafts has a lower rate because they charge $6 per hour.

b)

Water's Edge Rafts has a lower rate because they charge $5 per hour.

c)

Ryan's Rafts has a lower rate because they charge $2.25 per hour.

d)

Ryan's Rafts has a lower rate because they charge $15.00 per hour.

125.

Which panda was heavier when he was born?

a)

Mochi because he weighed 2 lbs

b)

Kappa because he weighed 2 lbs

c)

Machi because he weighed 5 lbs

d)

Kappa because he weighed 5 lbs

126.

a)

A

b)

B

c)

C

d)

D

127.

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

c)

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

d)

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

128.

a)

Function

b)

Not a Function

129.

a)

Function

b)

Not a Function

130.

a)

Function

b)

Not a Function

131.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

132.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has y values of 10 & 12

133.

What is the test to determine if a graph represents a function?

a)

Horizontal line test

b)

Vertical line test

c)

Heidelberg Uncertainty Test

d)

Obi Wan Kenobi Test

134.

a)

Function

b)

Not a Function

135.

What type of association does this scatterplot show? (a)

Choose from the below words

positive

negative

none

136.

Using the line of best fit, what is most likely the average for a student that was to get 6 hours of sleep?

a)

66

b)

60

c)

80

d)

75

137.

The graph shows the relationship between the amount of gas in a car's tank after going on a trip. Which is the closest to the amount that would be in the tank after traveling 90 miles?

a)

9 gallons

b)

7 gallons

c)

10 gallons

d)

8 gallons

138.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

139.

What is the function of the table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

140.

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

a)

y = 2x + 2

b)

y = -2x - 2

c)

y = -2x + 2

d)

y = 2x - 2

141.

Find the equation of the line that passes through the points:

(3, 4) and (0, -5)

a)

y = 3x + 5

b)

y = -3x + 4

c)

y = -3x + 4

d)

y = 3x - 5

142.

Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)

a)

y = ¹/₇ x + 26

b)

y = 7x + 26

c)

y = -7x + 26

d)

y = -7x - 26

143.

Determine the length of the missing side.

144.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

145.

Find the missing side.

a)

9

b)

10

c)

12

d)

100

146.

Find the missing leg

a)

57.6

b)

66.1

c)

60

147.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

148.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

149.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

150.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

151.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

8th grade math 3rd 9 Weeks Test Review

Total questions: 151

Worksheet time: 8hrs 42mins

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