Free Printable 8th Grade Math Milestones Review

Worksheets

8th Grade Math Milestones Review

Total questions: 65

Worksheet time: 53mins

Name

Class

Date

Which set of real numbers does the following number belong to?

Irrational Numbers

Natural Numbers

Rational Numbers

Integers

We know that π (Pi) is approximately equal to 3.141592654. To which subset of the real numbers does π belong?

Irrational Numbers

Rational Numbers

Integers

Natural Numbers

What type of number is a non-repeating, non-terminating decimal?

Irrational

Prime

Rational

Imaginary

What is the best rational approximation for $\sqrt{55}$ ?

7.5

27.5

5.5

11.0

Which point best represents $\sqrt{10}$ on a number line?

Point A

Point B

Point C

Point D

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

True

False

Simplify the expression: c⁴⋅c³ = ?

c¹²

c⁴⁺³

c⁷

(2^8)^2

2^16

2^10

2^6

2^4

Simplify 4^-2 =

1/16

-16

1/4

-42

10.

When dividing powers with the same base, you _______________ the exponents.

Add

Subtract

Multiply

Divide

11.

Anything raised to the power of zero is always:

itself

negative

12.

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 indicates that your number will be very ________.

Large

Small

Basic

13.

Change the number from standard form to scientific notation: 12,000,000

12.0 x 10⁷

0.12 x 10⁷

1.2 x 10⁶

1.2 x 10⁷

14.

Find the slope.

-5/3

-3/5

5/3

3/5

15.

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

2/5

-5/2

5/2

-1/2

16.

What is the Slope represented in this table?

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

slope: $-4$

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

slope: $4$

17.

What type of slope is this?

Negative

Steep

Undefined

Zero slope

18.

What type of slope is it?

Undefined

Positive slope

Negative slope

Zero slope

19.

What is the slope in the picture?

Positive

Negative

Zero

Undefined

20.

What type of slope is it?

Zero slope

Undefined

Negative

Positive

21.

What direction does an undefined slope have?

Horizontal

Vertical

22.

What is the y-intercept of the equation: y = 2x - 3?

-2

-3

23.

Find the slope:
y = 2x - 10

1/2

-10

24.

Which of these represents the slope-intercept form?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

25.

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

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

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

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

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

26.

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

y=3-6

y=3x-6

y=3x+6

y=6x+3

27.

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

y-intercept

macaroni

nothing

slope

28.

What is the definition of a function?

It has inputs and outputs

Every input has only one output

Inputs have different outputs every time

It has x-values and y-values

29.

Function

Not a Function

30.

Is this mapping a function or not?

Function

Not a Function

31.

Is the relation a function? Why?

Yes, because the x-value 11 is paired with two y-values.

Yes, because each x-value is paired with only one y-value.

No, because the x-value 11 is paired with two y-values.

No, because each x-value is paired with only one y-value.

32.

Is this graph a function or not a function?

Function

Not a Function

33.

Does the table represent a function?

Yes, there is a repeated x-value.

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

Yes, there are repeated y-values.

No, there is a repeated x-value.

34.

Is this graph a function or not a function?

Function

Not a Function

35.

Name the type of transformation.

Translation

Reflection

Rotation

36.

In a right triangle, side 'c' is ALWAYS the longest.

true

false

37.

Find the length of the missing side.

17 cm

22 cm

15 cm

13 cm

38.

Find the volume of the cylinder.

4239

1696

1130

565

39.

Is the red line a radius or a diameter of the circle?

Radius

Diameter

40.

Is the red line a radius or a diameter of the circle?

Radius

Diameter

41.

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. Which is closest to the volume of Mr. Quintero's cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

42.

What is the volume of a sphere with a radius of 4 inches? Use 3.14 for pi.

561.5 in³

267.9 in³

201 in³

803.8 in³

43.

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

5.8 in³

3.62 in³

8.18 in³

25.1 in³

44.

Solve for a:

a = -2

a = -7.5

a = 2

a = 6

45.

Solve for a:

a = -2

a = -6

a = 3

a = 15

46.

$x+2+6=8$

47.

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

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides

48.

Rewrite the expression by combining like terms: 3xy + 8x² + 4y + 2y - 5x²

3x² + 3xy + 6y

6y² + 2xy + 2x

7x² + 35x

3x² + 6y + y

49.

Simplify by combining like terms: 5a + 2b - 3a + 4

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

50.

Like terms have the same variables and the same exponents.

variables and numbers

signs and numbers

variables and exponents

variables and signs

51.

How can 4(3 +9) be expressed using the distributive property?

4(3) + 4(4 + 9)

4(3) + 4(9)

4 + 9 = 9 + 4

(4 + 3) x (4 + 9)

52.

5(3 + 2)= ?

53.

What type of correlation does this graph have?

Negative

no association

positive

54.

What type of correlation does this graph have?

positive

negative

none

all of the above

55.

Which sentence describes the relationship shown on this scatter plot?

As the temperature decreases, the visitors increase.

As the temperature increases, the number of visitors increases.

As the visitors increase, the temperature decreases.

No correlation

56.

Based on the graph, if Joe earned $400, how many hours did he work?

25 hours

35 hours

45 hours

15 hours

57.

5x+1=2x-5

x=-2

x=-6

x=3

x=.5

58.

4a-2=3a-7

a=-9

a=-2

a=7

a=-5

59.

$-118=-5\left(4+7x\right)+7$

$-5$

$-9$

$3$

$-1$

60.

7x = 3x + 24

61.

Solve:

10x + 3 + 3x = 5x + 1 + 8x + 2

x = -3

x = 3

infinitely many solutions

no solutions

62.

If while solving an equation your solution appears like so, 3 = 4, how many solutions do you have?

One Solution

No Solutions

Infinitely Many Solutions (all real numbers)

63.

Based on this student's work, how many solutions should they choose?

One Solution, because all equations only have one solution

No Solutions, because 4=5 is false.

Infinitely Many Solutions (all real numbers), because 4 & 5 are real numbers.

64.

What does it mean when an equation has infinitely many solutions?

"To infinity and beyond"

the equation is always TRUE when any value is substituted in for the variable

the equation will NEVER be true when any value is substituted in for the variable

only ONE solution will make the equation true

65.

What does it mean when an equation has one solution?

the equation is always TRUE when any value is substituted in for the variable

the equation will NEVER be true when any value is substituted in for the variable

only ONE solution will make the equation true

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8th Grade Math Milestones Review

Total questions: 65

Worksheet time: 53mins

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