Free Printable 8th grade math review

Worksheets

8th grade math review

Total questions: 58

Worksheet time: 4hrs 53mins

Name

Class

Date

0.33333 is considered a ________ decimal

repeating

terminating

A fraction is which type of number?

Rational

Irrational

Integer

Whole

A rational number can be written as a fraction.

True

False

√7

Rational

Irrational

real

fake

Solve:
7x - 3x - 8 = 24

-8

3.2

Solve:
7x + 19 = -2x + 55

14.8

8.2

-4

The sum of three consecutive integers is 48. What is the smallest number in the group?

Tonya's dog-walking service charges a flat rate of $20 per month, plus $3 per miles that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.

3m = 5m + 20; They would charge the same at -10 miles.

3m + 5m = 20; They would charge the same at 2.5 miles.

3m + 20 = 5m; They would charge the same amount at 10 miles.

ax + c = R
(solve for x)

ax = R + c

ax = R - c

x = a(R-c)

x = (R-c) / a

10.

Solve the formula for P. What is the 1st step?

Divide wach side by Pt.

Subtract rt from each side.

Subtract pt from each side.

Divide each side by rt.

11.

4x - 2 ≤ -22

x ≥ -5

x ≥ -6

x ≤ -6

x ≤ -5

12.

Which of the following inequalities would require you to flip the sign when solving?

2x < 3

3x > - 9

-4x ≥ 10

5x ≤ 15

13.

Which is a solution to the inequality shown?

-2

-1

14.

Which inequality would have the solution graphed?

15.

Write an inequality for Graph 3.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

16.

What inequality is graphed?

x > 2 and x < 4

x ≥ 2 and x ≤ 4

x > 2 or x < 4

x ≥ 2 or x ≤ 4

17.

What word or phrase best describes the graph of an AND inequality?

separate

between

not between

annoying

18.

What word or phrase best describes the graph of an OR inequality?

inside

between

not between

beautiful

19.

Solve.
|p + 3| ≥ 10

-13 ≤ p ≤ 7

p ≤ -13 or p ≥ 7

-7 ≤ p ≤ 13

p ≤ -7 or p ≥ 13

20.

Solve.
|y - 1| ≤ 6

-7 ≤ y ≤ 5

y ≤ -7 or y ≥ 5

-5 ≤ y ≤ 7

y ≤ -5 or y ≥ 7

21.

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

Nothing in particular

The y-intercept

The x-intercept

Slope

22.

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

23.

What is the equation of this line?

y = 2x +2

y = 2x -2

y = -x + 2

Cannot be Determined

24.

Find the slope of the line.

Undefined

-1

25.

Becky is competing in an 8-mi road race. She runs at a constant speed of 6 mi/h. Write an equation in slope-intercept form to represent the distance Becky has left to run.

y=-8x + 6

y= 6x + 8

y= -6x + 8

26.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

y + 7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y + 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

27.

What is point-slope form?

y = mx + b

Ax + By = C

A² + B² = C²

y = m(x - x₁) + y₁

28.

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

y = 2x + 11

y = 2x + 1

y = 2x - 1

y = 2x - 11

29.

Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)

y - 5 = 2(x + 3)

y + 5 = 2(x - 3)

y - 3 = 2(x + 5)

y + 3 = 2(x - 5)

30.

Name the x- and y-intercepts for the equation:
2x + y = 6

(0, 3) and (6, 0)

(0, -3) and (-6, 0)

(3, 0) and (0, 6)

(-3, 0) and (0, -6)

31.

What is the equation of the graphed line?

y = 3

y = 3x

x = 3

x = 3y

32.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

$y=\frac{1}{3}x-9$

$y=\frac{1}{3}x+10$

$y=-3x+6$

$y=-3x-8$

33.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

$y=2x\ -3$

$y=2x-5$

$y=2x\ +\ 1$

$y=-\frac{1}{2}x+\frac{5}{2}$

34.

Jake needs to buy 120 beverages for a party, What equation, in standard form, determines the number of x of 8-packs of juice and the number of y 12-packs of water that Jake can buy?

120 - 8 = 12y + x

8x + 12y = 120

20x = 120

35.

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

36.

Function

Not a Function

37.

All of the y values or outputs are called what?

Domain

Range

Relation

Function

38.

All of the x values or inputs are called what?

Domain

Range

Relation

Function

39.

If f(x)=2x+25, find f(5).

f(5) = 60

f(5) = 40

f(5) = -15

f(5) = 35

40.

If f(x)=3x-9, find f(5).

f(5) = 6

f(5) = 16

f(5) = -4

f(5) = 24

41.

What is the ordered pair for point A?

( 2, 0)

( 0 , 2)

(0, -2)

(-2,0)

42.

The slope of the line is...

Positive

Negative

Undefined

43.

What is the slope?

positive

negative

undefined

zero

44.

What is the correlation between length of running start and distance of jump?

positive: the further you run the further you jump

negative: the less you run the less distance of your jump

positive: the further your running start the less your distance

45.

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

46.

What type of correlation does this scatterplot display?

Positive

Negative

No Correlation

47.

What type of correlation does this scatterplot display?

Positive

Negative

No Correlation

48.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

12 chapters

15 chapters

18 chapters

21 chapters

49.

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

(-4, 4)

(-10, 2)

(-4, -5)

(-1, 5)

50.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Translated 5 units down and 5 units to the right

Translated 5 units down and 1 to the right

Translated 8 units down and 5 units to the right

Translated 5 units down and 4 units to the right

51.

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

right two, down five

right two, down 9

left two, down 9

left two, down 5

52.

Find K' if the figure is reflected across the x-axis

(4, 1))

(-1, -4)

(1, -4)

(1, 4)

53.

Which answer shows a reflection across the x-axis?

54.

Reflect Point C over the y-axis:

(-3, 2)

(3,2)

(-2,3)

(3,0)

55.

The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image?

green triangle

red triangle

black triangle

none of these

56.

Choose the correct scale factor:

1/3

1/2

57.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

(-5, 5)

(-3, -5)

(-5, 3)

(-3, 3)

58.

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

(-8,5)

(8,-5)

(8,5)

(5,-8)

Reset

8th grade math review

Total questions: 58

Worksheet time: 4hrs 53mins

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