Free Printable 8th grade math

1.

what is an equation for a line that has a y-int of 2 and runs through points (3,8)?

a)

y=3x+3

b)

y=2x+2

c)

y=-3x+2

d)

y=2x+3

2.

what is an equation that passes through (9,2) and has a slope of -3

a)

y=-3x+29

b)

y=-3x+21

c)

y=-3x -20

d)

y=-3x -30

3.

Mr. Sanford graded 5 papers. The grades were 90, 92, 58, 98, and 90. What was the mean?

a)

90

b)

85.6

c)

58

d)

62.6

4.

Mr. Sanford graded 5 papers. The grades were 90, 92, 58, 98, and 90. What was the average?

a)

85.6

b)

58

c)

92

d)

60

5.

Mr. Sanford graded 5 papers. The grades were 90, 92, 58, 98, and 90. What was the mode?

a)

85.6

b)

90

c)

58

d)

60.8

6.

Mr. Sanford graded 5 papers. The grades were 90, 92, 58, 98, and 90. What was the median?

a)

same as the average

b)

same as the median

c)

same as the mode

d)

same as the outlier

7.

Mr. Sanford graded 5 papers. The grades were 90, 92, 58, 98, and 90. What was the outlier?

a)

58

b)

90

c)

92

d)

85.6

8.

Mr. Sanford graded 5 papers. The grades were 90, 92, 58, 98, and 90. What was the grade average without the outlier?

a)

91.5

b)

92.5

c)

93.5

d)

94.5

9.

A car drove 50 mph. How far did it go in 8 hours?

a)

20 miles

b)

400 miles

c)

100 miles

d)

480 miles

10.

A perfect square root is NOT

a)

4

b)

1

c)

2

d)

9

11.

If a square root is not perfect, it is

a)

rational

b)

irrational

c)

a whole number

d)

an integer

12.

12 x 10⁵ in scientific notation is

a)

already in Scientific notation

b)

1.2 X 10⁶

c)

12,000

d)

1.2 X 10⁵

13.

Put 130300 in scientific notation

a)

1.303 X 10⁵

b)

1.3 X 10⁵

c)

1.303 X 10⁶

d)

01303

14.

$4^{-2=}$ choose all answers

a)

$\frac{1}{16}$

b)

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

c)

16

d)

-16

15.

$3^0$

a)

0

b)

1

c)

2

d)

3

16.

$\sqrt{98}$

a)

49

b)

2 $\sqrt{49}$

c)

7 $\sqrt{2}$

d)

none of the above

17.

$3\sqrt{7}$

a)

$\sqrt{21}$

b)

$\sqrt{63}$

c)

$\sqrt{33}$

d)

$\sqrt{-22}$

18.

Which of the following is in slope int form?

a)

6y=8x+9

b)

-y=2x-4

c)

3 -3x=y

d)

9y=3x+90

19.

$\pi\ is\$

a)

rational

b)

irrational

c)

integer

d)

whole

20.

$\sqrt{100}$ choose all

a)

irrational

b)

rational

c)

whole

d)

integer

e)

natrual

21.

$\frac{2}{9}$

a)

rational because it is a repeating decimal

b)

irrational because it is a repeating decimal

22.

Any number that has an integer divided by an integer is a rational number.

a)

true

b)

false

23.

-8 is a(n)

a)

integer but not a whole number

b)

integer and whole number

c)

integer, whole number and a natural number

d)

none of the others

24.

8 is

a)

natural number

b)

whole number

c)

integer

d)

rational

e)

irrational

25.

Area of a triangle formula is

a)

$\frac{bh}{2}$

b)

bh

c)

lw

d)

none of the others

26.

the leg of a triangle is 5 and the other leg is 8. What is the hypotenuse? choose all

a)

89

b)

$\sqrt{89}$

c)

between 9 and 10

d)

between 10 and 11

e)

9.43

27.

The height of a triangle is 8 and the base is 5. What is the area of this triangle? choose all

a)

20

b)

40

c)

8(5)/2

d)

$\frac{40}{2}$

28.

$\left(3x^6\right)$ is the height of a triangle and $\left(4x^{2^{ }}\right)$ is the base of the triangle. What is the area?

a)

$12x^8$

b)

$6x^8$

c)

$6x^4$

d)

$12x^4$

29.

What is the area of a square with a side of (2x)

a)

not me

b)

4x²

c)

4x

d)

2x

30.

A tv has a diagonal of 5 ft. It's length is 4ft. What is the width?

a)

1 ft

b)

2 ft

c)

3 ft

d)

6 ft

31.

A tv has a diagonal of 5 ft. It's length is 4ft. What is the width?

a)

12 inches

b)

24 inches

c)

36 inches

d)

66 inches

32.

There is a segment that has endpoints (8,8) and (1,2). How long is the segment?

a)

$\sqrt{85}$

b)

between 9 and 10

c)

between 10 and 11

d)

$\sqrt{101}$

e)

10.21

33.

A ladder is leaning against the side of a building. The building and the ground form a right angle. How high on the building will the ladder touch if the ladder is 10 ft long and the base of the ladder is 6 ft from the base of the building?

a)

9 ft

b)

8 ft

c)

7 ft

d)

6 ft

34.

Ben is going bowling this weekend. It will cost $5 for the shoe rental plus $6 per game bowled. Which equation models the cost, c, for Ben to bowl g games?

a)

c = 6g + 5

b)

c = 6(g + 5)

c)

c = 5g + 6

d)

c = 5(g + 6)

35.

Jazmin is going bowling this weekend. It will cost $10 for the shoe rental plus $9 per game bowled. Which equation models the cost, c, for Jazmin to bowl g games?

a)

c = 9g + 10

b)

c = 10(g + 9)

c)

c = 10g + 9

d)

c = 10(g +1)

36.

The graph shows Nick's bike ride from home to his grandparents and then returning home. Which intervals show Nick's distance from home increasing?

a)

Interval B and C

b)

interval A and B

c)

interval D and F

d)

Interval E and F

37.

The graph shows Maddix's bike ride from home to her grandparents and then returning home. Which interval show maddix at a constant speed?

a)

Interval B

b)

interval A

c)

interval E

d)

Interval F

38.

The graph shows Maddix's bike ride from home to her grandparents and then returning home. Which interval show maddix at constant speed?

a)

Interval B

b)

interval A

c)

interval C

d)

Interval F

39.

The graph shows the population growth of a school from year to year. What is the rate of change in terms of number of students per year?

a)

200

b)

100

c)

150

d)

250

40.

The graph shows the population growth of a school from year to year. What is the equation for this graph

a)

y=200x

b)

y=200X +300

c)

y=150x +300

d)

y=500X +300

41.

A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $25.

a)

f(x) = 25x + 15; f(25) = 640

b)

f(x) = 25x + 15; f(.3) = 25

c)

f(x) = 25x + 15; f(.4) = 25

d)

f(x) = 15x + 25; f(0) = 25

42.

A hair salon charges a fixed rate of $255.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $25.

a)

f(x) = 255x + 15; f(25) = 640

b)

f(x) = 255x + 15; f(.3) = 25

c)

f(x) = 255x + 15; f(.4) = 255

d)

f(x) = 15x + 255; f(0) = 255

43.

A hair salon charges a fixed rate of $100.00 for a haircut and then an additional $20 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $120.

a)

f(x) = 20x + 100; f(2) = 240

b)

f(x) = 20x + 100; f(1) = 120

c)

f(x) = 20x + 100; f(2) = 100

d)

f(x) = 20x + 100; f(1) = 140

44.

A hair salon charges a fixed rate of $100.00 for a haircut and then an additional $20 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $140.

a)

f(x) = 20x + 100; f(2) = 240

b)

f(x) = 20x + 100; f(2) = 120

c)

f(x) = 20x + 100; f(3) = 140

d)

f(x) = 20x + 100; f(2) = 140

45.

A phone company charges 200 for their phone and 50 cents per text message. Write a function to model the cost of services there and then determine how many text you had if you were charged $201.

a)

f(x) = 200x + 100; f(201) = 201

b)

f(x) = 0x + 100; f(0) = 201

c)

f(x) = 50x + 100; f(2) = 201

d)

f(x) = .50x + 200; f(2) = 201

46.

In order to join an online learning community, there is a $25 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y=5x +25

b)

y=25x +25

c)

y=5x +5

d)

y=25x +5

47.

Simplify the expression using exponents.

a)

81⁸

b)

9¹⁵

c)

9⁸

d)

81¹⁵

48.

Write the decimal as a fraction in simplest form

a)

b)

c)

d)

49.

Using exponents, what is the simplified form of the expression (2⁴)⁷

a)

2³

b)

14²⁸

c)

2²⁸

d)

2¹¹

50.

Using exponents, what is the simplified form of this expression?

a)

5⁹

b)

1⁵

c)

5¹⁴

d)

5⁵

51.

What is the value of 18⁰?

a)

18

b)

0

c)

1

d)

-18

52.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10^-3

b)

9.5 x 10^-5

c)

9.5 x 10^-4

d)

9.5 x 10^-6

53.

How do you write 8.7 x 10^-1in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

54.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

55.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

56.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

57.

0 is a Natural Number.

a)

True

b)

False

58.

What is the slope of the line that passes through the points (5, 1) and (2, -7)?

a)

b)

c)

d)

59.

Which of the following has the greatest value?

a)

3.5 x 10⁴

b)

2.1 x 10⁶

c)

7.2 x 10⁷

d)

9.9 x 10⁵

60.

Which statement is correct?

a)

All integers are rational numbers.

b)

All irrational numbers are whole numbers

c)

A real number must be a rational number.

d)

A repeating decimal is an irrational number.

61.

Which number is equivalent to 5^-1?

a)

b)

c)

d)

62.

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

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

63.

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

a)

10

b)

itself

c)

1

d)

0

64.

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

65.

What is the base in 2⁸ ?

a)

8

b)

2

66.

Slope, in basic terms, is simply...

a)

Rise over run

b)

Run over rise

c)

Left over down

d)

Right over up

67.

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

a)

largest

b)

smallest

c)

middle

d)

first

68.

a)

Function

b)

Not a Function

69.

Find the equivalent expression:
4(6x + 2)

a)

6x + 8

b)

32x

c)

24x + 8

d)

24x + 2

70.

Find the equivalent expression:
5(2x + 4) + x

a)

11x + 20

b)

10x + 20

c)

31x

d)

11x + 4

71.

Find the equivalent factored expression:
4x + 20

a)

24x

b)

4(x + 20)

c)

4x + 5

d)

4(x + 5)

72.

Find the equivalent factored expression:
15x + 35

a)

5(3x + 7)

b)

15(x + 20)

c)

5(10x + 30)

d)

50x

73.

The formula for slope has _____ on top.

a)

y₂- y₁

b)

x₂- x₁

c)

y₁- y₂

d)

x₁- x₂

74.

The formula for slope has _____ on bottom.

a)

y₂- y₁

b)

x₂- x₁

c)

y₁- y₂

d)

x₁- x₂

75.

The horizontal axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

76.

When you translate, (x+2,y) will move _____.

a)

2 units right

b)

2 units left

c)

2 units up

d)

2 units down

77.

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

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

78.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

79.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

80.

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

81.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

82.

Which best describes an irrational number?

a)

Any number that can be expressed as a fraction

b)

A repeating decimal

c)

A number that is a non-terminating, non-repeating decimal.

d)

A perfect square.

83.

What is the slope of the line shown?

a)

4

b)

-1/4

c)

-4

d)

1/4

84.

A larger number is 4 more than 6 times a smaller number, x. Which equation represents this relationship?

a)

y = 6 + 4x

b)

y = 6x - 4

c)

y = 6x + 4

d)

y = 6(x + 4)

85.

What is the solution to the equation 2x - 2 = -x + 10

a)

x = 12

b)

x = 3

c)

x = 5

d)

x = 4

86.

Which type of association is shown in the scatterplot below?

a)

positive association

b)

negative association

c)

constant association

d)

no association

87.

Which type of association does the graph below show?

a)

none

b)

positive

c)

negative

d)

irregular

88.

How many total people were surveyed about what ice cream flavor they would pick?

a)

107

b)

92

c)

70

d)

269

89.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

90.

The distance around an object is called the

a)

area

b)

perimeter

91.

How do you find the area of a rectangle?

a)

Length + Length + Length + Length

b)

Length + Width

c)

Length x Width

d)

Width x Width

92.

What is the perimeter?

a)

20

b)

5

c)

4

93.

How would you find the area of the pink model?

a)

Add 4 and 3

b)

Multiply 4 and 3

c)

Add 4 and 4

d)

Multiply 4 and 4

94.

What is the total area of the model?

a)

6

b)

10

c)

12

d)

14

95.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

96.

Find the area.

a)

46.2 ft²

b)

92.4 ft²

c)

23.1 ft²

97.

Calculate the area of the triangle

a)

27.3 mi²

b)

54 mi²

c)

27 mi²

d)

54.6 mi²

98.

What is the perimeter of the shape?

a)

4 in.

b)

10 in.

c)

12 in.

d)

7.5 in.

99.

Find the perimeter of this triangle.

a)

20 cm

b)

21 cm

c)

40 cm

d)

12.5 cm

100.

Jose lives next to a triangular park. He likes to take his dog for a walk around the park on the weekend. If he makes 3 trips around the park how far does he walk?

a)

17 units

b)

25 units

c)

51 units

d)

102 units

8th grade math

Total questions: 100

Worksheet time: 3hrs 9mins

Similar Resources on Wayground