Free Printable 2023 8th grade Math December Final

1.

How would you write 4.3756 x 10⁴in standard form?

(a)

2.

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

(a)

3.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

4.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

5.

List the following numbers from least to greatest:

-64,\ \ 3.5,\ \ \sqrt{27},\ \ 6.\overline{6}

a)

$-64,\ \ 3.5,\ \ \sqrt{27},\ \ 6.\overline{6}$

b)

$3.5,\ \ \sqrt{27},\ \ 6.\overline{6},\ \ -64$

c)

$3.5,\ \ -64,\ \ \sqrt{27},\ \ 6.\overline{6}$

d)

$6.\overline{6},\ \ \sqrt{27},\ \ -64,\ \ 3.5$

6.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

7.

Place the numbers in order from least to greatest

a)

π, 31%, -0.32, 1/3, 3.1

b)

-0.32, 31%, 1/3, 3.1, π

c)

-0.32, 1/3, 31%, 3.1, π

d)

-0.32, 31%, 1/3, π, 3.1

8.

Which of the following are integers? Select all that apply.

a)

8

b)

-3

c)

-8

d)

$\frac{4}{10}$

9.

Which of the following is a rational number?

a)

$\sqrt[]{75}$

b)

$95.\overline{3}$

c)

$\sqrt[]{44}$

d)

$\pi$

10.

Which of the following describe ^–77?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

11.

Classify this number: ⅚

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

12.

Classify the numbers by checking all that apply!

$\sqrt{175}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

13.

Classify the number by checking all that apply!

$\frac{30}{3}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

14.

Find the Mean Absolute Deviation:

58, 38, 54, 48, 20, 26, 36

a)

43.2

b)

20.91

c)

11.42

d)

9.34

e)

15.3

15.

Find the Mean Absolute Deviation.

58, 38, 54, 48, 26, 36

a)

43

b)

10

c)

20

d)

12

16.

Which answer choice contains ALL like terms?

a)

-4x, 2x, 3x

b)

-4x, 2, 3y

c)

4x², 2x

d)

14, 4x

17.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

18.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

19.

s - 17 = 87

a)

70

b)

94

c)

60

d)

104

20.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

21.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

22.

Solve the equation for x:
8x - 6x + 4 + 5 = 19

a)

x = 4

b)

x = 5

c)

x = 6

d)

x = 7

23.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x=8

d)

x= -12

24.

a)

x= 9

b)

x= -9

c)

x= 11

d)

x= -11

25.

5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

26.

6(5g+ 2)=30g

a)

g=2

b)

g=12

c)

all real numbers

d)

no solution

27.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

28.

Which situation can be represented by the equation
40x + 20 = 200?

a)

Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

b)

Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

c)

Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

d)

Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

29.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

30.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

31.

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

a)

50 + 3.5x < 71

b)

71 - 3.5x < 50

c)

71 - 3.5x ≤ 50

d)

71 + 3.5x < 50

32.

Does this graph represent a function?

a)

Yes

b)

No

33.

Do these ordered pairs represent a function?

a)

Yes

b)

No

34.

Does this mapping represent a function?

a)

Yes

b)

No

35.

Does this mapping represent a function?

a)

Yes

b)

No

36.

Does this graph represent a function?

a)

Yes

b)

No

37.

Do these ordered pairs represent a function?

a)

Yes

b)

No

38.

Use the slope formula to find the slope between (-3, 5) and (-3, 2)

a)

zero

b)

undefined

c)

3

d)

-3

39.

What is the slope of the given line?

a)

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

b)

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

c)

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

d)

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

40.

Find the slope/ rate of change of the table

a)

b)

c)

d)

41.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

42.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

43.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

44.

Which graph represents the equation:

y = 2x + 2

a)

b)

c)

d)

45.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

46.

Write the equation that created this table.

a)

y = 3x - 9

b)

y = 3x + 3

c)

y = -3x + 3

d)

y = 6x + 5

47.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16

48.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -1/3x + 3

b)

y = 1/3x - 3

c)

y = -1/3x - 3

d)

y = 1/3x + 3

49.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

50.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

51.

Match the solution to the system of equations.

a)

1.

(-2, -1)

b)

2.

(2, -1)

c)

3.

(1, 4)

d)

4.

(4, -1)

52.

What is the solution to this system?
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

53.

True or False:

Is the following graph proportional?

a)

True

b)

False

54.

True or False:

Is the following graph proportional?

a)

True

b)

False

55.

Find the constant of proportionality (k).

a)

$k=\frac{-20}{1}$

b)

$k=\frac{20}{1}$

c)

$k=\frac{1}{20}$

d)

$k=\frac{-1}{20}$

56.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

57.

Which equation shows a NON-proportional relationship of x and y?

a)

y = 5x

b)

y = 2.5x

c)

y = x + 3

d)

y = 1/2x

58.

Is the relationship in the table a direct variation?

a)

Yes

b)

No

59.

A charitable organization brought in $7200 in ticket sales by selling 400 tickets to their annual fundraising banquet. The amount of money raised from ticket sales is directly proportional to the number of tickets sold.
What is the equation that relates the money raised from the ticket sales to the number of tickets sold?

60.

If y varies directly as x and y = 18 when x = 3, Find y when x = 7.

a)

16

b)

34

c)

42

d)

49

61.

The variables y & x vary directly. $y=-27\ when\ x\ =\ 9$

Find the value of y when x=20

a)

-6.67

b)

60

c)

-60

d)

14

62.

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 140 pages.

a)

12 chapters

b)

19 chapters

c)

14 chapters

d)

21 chapters

63.

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

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

64.

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)

65.

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

a)

(x+2, y-5)

b)

(x-2, y+9)

c)

(x-2, y-9)

66.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

67.

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

a)

(4, 1)

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

68.

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

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

69.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-y,x)

d)

(x,y)→(-x,-y)

70.

What scale factor was used to produce the image?

a)

2

b)

3

c)

1/3

d)

1/2

71.

Find the measure of x:

a)

6

b)

24

c)

33

d)

36

72.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.

a)

(2,4.5)

b)

(-8,-18)

c)

(8,18)

d)

(9,4)

73.

A scale factor of 1/2 is used to change the dimensions of a rectangle with a length of 7 centimeters and a width of 5 centimeters. What is the perimeter of the resulting rectangle?

a)

12

b)

35

c)

24

d)

38

74.

If a shape is dilated by a scale factor of 5, the area will change by a scale factor of

a)

5

b)

10

c)

25

d)

1/5

2023 8th grade Math December Final

Total questions: 74

Worksheet time: 5hrs 15mins

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