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Math 8 End of Year Review 2023

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

If x = 5,  and x + y = 18,  then y = ?

a)

5

b)

13

c)

18

d)

23

2.

If x = 5,  and x + 2y = 27, then y = ?

a)

8

b)

10

c)

11

d)

27

3.

If x = 12, and x + 3y = 15, then y = ?

a)

1

b)

5

c)

7

d)

9

4.

In the equation y = 4x + 8 has a slope of ___?

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

4

d)

8

5.

In the equation 4y = x + 8 has a slope of ___?

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

4

d)

8

6.

What is the decimal equivalent of 59\frac{5}{9} ?

a)

.5

b)

.55

c)

. 5\overline{5}

d)

. 59\overline{59}

7.

What is the decimal equivalent of 68%

a)

0.0068

b)

.068

c)

0.68

d)

6.8

8.

What is the decimal equivalent of 17\sqrt[]{17} ?

a)

8.54

b)

8.5

c)

4

d)

4.12

9.

In the equation y = 4x + 8 has a y-intercept of ___?

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

4

d)

8

10.

In the equation y - 9 = 7x has a y-intercept of ___?

a)

19\frac{1}{9}

b)

14\frac{1}{4}

c)

4

d)

9

11.

In the equation y + 5 = 7x - 2 has a y-intercept of ___?

a)

-7

b)

-5

c)

5

d)

7

12.

18\sqrt[]{18} is between what two whole numbers?

a)

2 and 3

b)

3 and 4

c)

4 and 5

d)

5 and 6

13.

113\frac{\sqrt[]{11}}{3} is between what two numbers?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

14.

88\sqrt[]{88} is between what two whole numbers?

a)

8 and 9

b)

9 and 10

c)

10 and 11

d)

11 and 12

15.

If 2x + 3 = x + 7  ,  then x = ?

a)

3

b)

4

c)

5

d)

6

16.

If 2x + 3 = -x + 12  ,  then x = ?

a)

3

b)

4

c)

5

d)

6

17.

If -2x + 8 = 6x - 32  ,  then x = ?

a)

5

b)

6

c)

7

d)

8

18.

If 12x - 7 = 6x + 53  ,  then x = ?

a)

6

b)

8

c)

10

d)

12

19.

In the equation y = 18\frac{1}{8} x + 8 has a slope of ___?

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

4

d)

8

20.

In a 90 °\degree triangle, a = 10 and c = 8. What is b?

a)

6

b)

8

c)

10

d)

12

21.

Which of the following is an irrational number?

a)

14\frac{1}{4}

b)

π\pi

c)

-5

d)

0

22.

Which of the following is an irrational number?

a)

ππ\frac{\pi}{\pi}

b)

5\sqrt[]{5}

c)

3.45

d)

42\frac{4}{2}

23.

Which of the following is a natural number?

a)

π\pi

b)

-5

c)

14\frac{1}{4}

d)

5

24.

The area of an acre of land is 43560 feet. What is this number in scientific notation?

a)

43.56 x 10410^4

b)

4.356 x 10410^4

c)

4356 x 10410^4

d)

435.6 x 10410^4

25.

The size of a blood cell is 0.001438. What is this number in scientific notation?

a)

1.438 x 10310^3

b)

1.438 x 10210^2

c)

1.438 x 10210^{-2}

d)

1.438 x 10310^{-3}

26.

Write the following number in standard form.

1.345 x 10310^{-3}

a)

0.1345

b)

0.001345

c)

1345

d)

0.01345

27.

Write the following number in standard form.

1.345 x 10410^4

a)

13,450,000

b)

13,450

c)

134,500

d)

0.1345

28.

What is the greatest number from this set of numbers?

48\sqrt[]{48} 6 48% 193\frac{19}{3}

a)

48\sqrt[]{48}

b)

6

c)

48%

d)

193\frac{19}{3}

29.

If you had to order these numbers from least to greatest, what number would you list first?

12.25\sqrt[]{12.25} 2 162\ \frac{1}{6} 36144\frac{36}{\sqrt[]{144}} 83\frac{8}{3}

a)

12.25\sqrt[]{12.25}

b)

2 162\ \frac{1}{6}

c)

36144\frac{36}{\sqrt[]{144}}

d)

83\frac{8}{3}

30.

The value of y varies directly with x. When y = 5.6, x = 2.4. What is the value of y when x is 4.5?

a)

10

b)

2.99

c)

10.5

d)

3.6

31.

What number would make this data set a function?

{(2, -1), (_, -2), (6, -3), (8, -4)}

a)

2

b)

4

c)

6

d)

8

32.

The cost to join a gym is $50 plus $25 each month. Which equation could be used to represent this scenario?

a)

y = 50x - 25

b)

y = 50x + 25

c)

y = 25x + 50

d)

y = 25x - 50

33.

The bookstore sells notebooks for x dollars. Which situation can be represented by the inequality

3x > x + 1

a)

The cost of 3 notebooks is greater than the cost of one notebook and a $1 pen.

b)

The cost of 3 notebooks is less than the cost of one notebook and a $1 pen.

c)

The cost of 3 notebooks is greater than the cost of one notebook and a coupon for $1 off.

d)

The cost of 3 notebooks is less than the cost of one notebook and a coupon for $1 off.

34.

Two girls each started their own clothing business. The paid the same amount for each shirt, but they collected different amounts of money from customers. They made the same profit. What is x, the amount paid for each shirt?

Girl 1: 92.25 - 2.75x

Girl 2: 85.50 - 2.50x

a)

$33.86

b)

$27.00

c)

$2.70

d)

3.39

35.

The dimensions of a rectangular poster board is 24" and 48". If the poster is folded along its diagonal, which measurement is closest to the length of the diagonal in inches?

a)

28.80"

b)

49.11"

c)

36.62"

d)

53.67"

36.

A cylinder with a base radius of 2 and a height of 10. What is the area of the cylinder?

a)

15.71

b)

25.13

c)

125.66

d)

62.83

37.

The Pythagorean theorem only works for ________ triangles.

a)

Scalene

b)

Hypotenuse

c)

Acute

d)

Right

38.

A rectangular prism has a width of 3.5, a length of 11.25 and a height of 4.5.

What is the total surface area of this rectangular prism?

a)

132.75 in2in^2

b)

211.5 in2in^2

c)

78.75 in2in^2

d)

150.79 in2in^2

39.

A cone has a radius of 5 cubic centimeters and a height of 12 centimeters.

What is the volume of the cone in centimeters?

a)

314.16 cm3cm^3

b)

62.83 cm3cm^3

c)

157.08 cm3cm^3

d)

942.48 cm3cm^3

40.

A beach ball is filled with air. It has a diameter of 16 inches. What measurement is closest to the volume of air in the beach ball in cubic inches?

a)

2144.66 in3in^3

b)

17,157.28 in3in^3

c)

5,461.67 in3in^3

d)

6,433.98 in3in^3

41.

What is the name of the longest side of a right triangle?

a)

Leg

b)

Hypotenuse

c)

Hippo

d)

90 degree angle

42.

A can of green beans has a radius of 1.5 inches and a height of 5 inches. Which measurement is closest to the lateral surface area of the can in square inches?

a)

47.12 in2in^2

b)

7.5 in2in^2

c)

56.54 in2in^2

d)

11.78 in2in^2

43.

A shape is enlarged on a coordinate plane.

Which rule could represent this dilation?

a)

(x, y) -> (0.5x, 0.5y)

b)

(x, y) -> (3x, 3y)

c)

(x, y) -> ( 12x\frac{1}{2}x , 12\frac{1}{2} y)

d)

(x, y) -> (x+7, y-5)

44.

A shape is translated 2 units to the left and 3 units up.

Which rule best describes this transformation?

a)

(x, y) -> (x+3, y+2)

b)

(x, y) -> (x-2, y+3)

c)

(x, y) -> (x+2, y+3)

d)

(x, y) -> (x-3, y-2)

45.

Point (3, -2) is rotated 180 degrees on a coordinate plane.

Where is the new point located?

a)

(2, -3)

b)

(-2, 3)

c)

(-3, 2)

d)

(3, 2)

46.

What is the Mean Absolute Deviation (MAD) of the following data set?

22, 21, 19, 18, 17, 25, 15, 15

a)

22

b)

2.375

c)

19

d)

2.75

47.

You borrowed $12,000 from the bank to buy a used car at simple rate of 4% for 5 years. How much will you pay in interest at the end of the loan?

a)

$2,400

b)

$24,000

c)

$2600

d)

$14,600

48.

You borrowed $12,000 from the bank to buy a used car at compound rate of 4% for 5 years. How much will you have paid in total for this loan?

a)

$2,400

b)

$24,000

c)

$2,600

d)

$14,600

49.

What does FAFSA stand for?

a)

Free Application for Funding from State Associations

b)

Free Application for Federal Student Aid

c)

Free Assistance From State Associations

d)

Flying Animals From Stinky Antarctica

50.

The amount of money you pay to take classes at a college/university is

a)

transportation

b)

room & board

c)

tuition

d)

books & supplies