Free Printable Math 8 Review 12/2021

1.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

2.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

3.

Which of these values is the GREATEST?

a)

63/7

b)

8.99

c)

450%

d)

-22

4.

Order 3π, √ 10 , and 3.25 from greatest to least.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

5.

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

a)

^{5/4, 56%, 1.07, 4/5}

b)

^{1.07, 4/5, 5/4, 56%}

c)

^{56%, 1.07, 4/5, 5/4}

d)

^{56%, 4/5, 1.07, 5/4}

6.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

7.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

8.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

9.

Simplify the following expression by combining like terms:
3(2x - 4) + 6x - 1

a)

12x - 13

b)

12x - 5

c)

11x - 2

d)

-x

10.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

11.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

d)

40f -7 + 3f

12.

Evaluate the following expression when n = 3
4(n+2)

a)

20

b)

14

c)

24

d)

10

13.

Evaluate the expression for
g = 4, k =2 and t = 9

a)

6

b)

5

c)

27

d)

7

14.

Evaluate the expression for
g = 4, k =2 and t = 9

a)

9

b)

6

c)

-6

d)

18

15.

Evaluate the expression for
g = 4, k =2 and t = 9

a)

5

b)

12

c)

4

d)

10

16.

Evaluate the expression for n = 4

a)

3

b)

2

c)

15

d)

17

17.

Evaluate bc + 5a
when a = 3, b = 4, and
c = -6

a)

9

b)

38

c)

-38

d)

-9

18.

What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

19.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

20.

Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?

a)

95

b)

105

c)

125

d)

135

21.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

22.

Jenna borrowed $5,000 for 3 years and had to pay $1,350 simple interest at the end of that time. What rate of interest did she pay?

a)

6%

b)

6%

c)

8%

d)

9%

23.

The simple interest formula is I=Prt. What does the t represent?

a)

Principle

b)

Interest

c)

Time, in hours

d)

Time, in years

24.

Convert 18 months to years.

a)

18 Years

b)

1.5 Years

c)

.18 Years

d)

You cannot change it to years.

25.

What does the "I" in the interest formula stand for?

a)

Important

b)

Interest

c)

Internet

d)

Igloo

26.

What does the "r" in the interest formula stand for?

a)

Principal

b)

Interest

c)

rate

d)

time

27.

The Principal and Interest are always___________.

a)

fraction

b)

decimal

c)

percent

d)

money

28.

Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

29.

Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase. The bank said that she could get a simple interest rate of 8% for 5 years. What is the total amount that Beyonce will pay for the chair?

a)

$2600

b)

$910

c)

$9100

d)

$260

30.

Anna invested $2,500 at an annual rate of 5%. How long will it take until Anna earns $1,125 in interest?

a)

5 years

b)

8 years

c)

10 years

d)

9 years

31.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

32.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

33.

Solve the proportion.

a)

n=6

b)

n=24

c)

n=7

d)

n=8

34.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

35.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

60

c)

18

d)

50

36.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.

a)

c=15

b)

c=18

c)

c=21

d)

c=16

37.

Write a proportion and solve:
Eight is what percent of 64?

a)

12.5%

b)

8%

c)

800%

38.

Write a proportion and solve:
What percent of 50 is 80?

a)

160%

b)

62.5%

39.

Write a proportion and solve:
What percent of 125 is 2?

a)

62.5%

b)

1.6%

c)

2.5%

d)

73.4%

40.

Write a proportion and solve:
Thirty is 20% of what number?

a)

150

b)

6

c)

143

d)

18

41.

Find 8% of 75.

a)

6

b)

937.5

c)

22

d)

801

42.

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

Select the proportion that represents the situation correctly.

a)

$\frac{20\ apples}{12\ dollars}=\frac{x\ apples}{3\ dollars}$

b)

$\frac{20\ apples}{3\ dollars}=\frac{x\ apples}{12\ dollars}$

c)

$\frac{12\ dollars}{20\ apples}=\frac{x\ apples}{3\ dollars}$

d)

$\frac{3\ dollars}{12\ dollars}=\frac{20\ apples}{x\ apples}$

43.

Emily's original painting has a width of 3 inches and a height of 4 inches. She enlarged the size of the painting so that it has a width of 15 inches. What is the new height?

Now solve the proportion.

a)

Height is $20$ inches

b)

Height is $15$ inches

c)

Height is $16$ inches.

d)

Height is $25$ inches.

44.

Mike was planning a trip to the country Jordan. Before going, he did some research and learned that the exchange rate is 3 Dinars for every $4. How many Dinars would he get if he exchanged $300?

Solve the proportion.

a)

$225

b)

$400

c)

$0.40

d)

$175

45.

If you can buy four bunches of purple grapes for $10, then how many can you buy with $25?

Select the proportion that correctly represents the situation.

a)

\frac{4\ bunches}{10\ dollars}=\frac{x\ bunches}{25\ dollars}

b)

$\frac{4\ bunches}{25\ dollars}=\frac{x\ bunches}{10\ dollars}$

c)

$\frac{4\ dollars}{10\ bunches}=\frac{x\ dollars}{25\ bunches}$

d)

$\frac{4\ bunches}{25\ dollars}=\frac{10\ bunches}{x\ dollars}$

46.

I have read 146 pages in 3 hours. How long would it take to read an entire 390 page book?

Choose the correct proportion.

a)

$\frac{146\ pages}{3\ hours\ }=\frac{390\ pages}{x\ hours}$

b)

$\frac{146\ pages}{390\ pages\ }=\frac{x\ hours}{3\ hours}$

c)

$\frac{146\ pages}{x\ hours\ }=\frac{390\ pages}{3\ hours}$

d)

$\frac{3\ hours}{x\ hours\ }=\frac{390\ pages}{146\ pages}$

47.

I have read 146 pages in 3 hours. How long would it take to read an entire 390 page book?

Solve the proportion, rounding to the nearest hour.

a)

8 hours

b)

1 hour

c)

11 hours

d)

9 hours

48.

If you receive 25% off an item costing $22.00, how much money do you save?

a)

$ 5.50

b)

$ 4.25

c)

$6.00

d)

$7.35

49.

How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?

a)

$957.44

b)

$841

c)

$58.43

d)

$905.50

50.

How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?

a)

$6.28

b)

$33.59

c)

$21.03

51.

Sales tax is __________ to the price

a)

subtracted

b)

added

c)

multiplied

d)

divided

52.

Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?

a)

40.50

b)

715.50

c)

6.00

d)

634.50

53.

In a video store, a DVD that sells for $15 is marked 10% off. What is the amount of discount?

a)

1.00

b)

1.50

c)

16.50

d)

13.50

54.

Regular price: $174. Discount: 40%. Find the sale price. Round to nearest cent if necessary.

a)

$104.40

b)

$140.40

c)

104.4

d)

69.6

55.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

d)

Mr. Ed is very old

56.

Find the total cost. Dinner with tax included is $23.77; you leave a 10% tip.

a)

$ 2.38

b)

$ 2.37

c)

$ 26.15

d)

$ 21.39

57.

Angela spent $30.00 at a restaurant. If she leaves a 15% tip, how much will her TOTAL BILL be?

a)

30.00

b)

45.25

c)

$ 34.50

d)

35.65

58.

What is the total price of a book if Barnes and Nobles gets it for $4.25 and the markup is 30%?

a)

$55.25

b)

$1.28

c)

$5.53

d)

$4.38

59.

A discounted price means the price has

a)

decreased

b)

increased

c)

stayed the same

60.

The bookstore normally sells mechanical pencils for $6.50. This week the pencils are discounted by 25%. To the nearest cent, what is the amount of discount selling price?

a)

$11.38

b)

$6.25

c)

$6.75

d)

$4.88

61.

A sports store near Big Bear Lake
is having a 20% off sale on all water skis.
What will the sale price be for water ski’s that regularly sell for $248?

a)

$297.60

b)

$198.40

c)

$49.60

d)

$201.40

62.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

63.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

64.

Find the best estimate for √18 .

Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

65.

Which number has a square root that is between 3 and 4?

a)

14

b)

8

c)

17

d)

0

66.

Identify the letter that best estimates the following square root on the following number line.

√156

a)

d

b)

b

c)

c

d)

e

67.

Estimate the square root.

a)

9

b)

10

c)

11

d)

12

68.

a)

1 AND 2

b)

2 AND 3

c)

3 AND 4

d)

4 AND 5

69.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

70.

Estimate the square root.

a)

9.7

b)

10

c)

9.8

d)

9.4

e)

8.7

71.

√21 falls between what two consecutive perfect squares?

a)

√9 and √16

b)

√16 and √25

c)

√25 and √36

d)

^{√64 and √81}

72.

Compare with <, >, and =.

2.5 ______ √8

a)

<

b)

>

c)

=

73.

Which number has a square root that is between 5 and 6?

a)

48

b)

81

c)

28

d)

36

e)

20

74.

Which point best represents √27?

a)

point A

b)

point B

c)

point C

d)

point D

e)

point E

75.

Which square root is equal to about 7.3?

a)

√73

b)

√63

c)

√53

d)

√43

76.

Compare with <, >, or =.

√64 ______ 8

a)

<

b)

>

c)

=

77.

Which set of numbers are in order from least to greatest?

a)

2.3, √4, 4.5, √9

b)

√15, 3.6, 5.2, √20

c)

4.3, √23, 5, √30

78.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

79.

Mr. Sansonetti wants to buy the iPod shuffle. If the area of the iPod was 9 cm², how long was the side of the iPod shuffle?

a)

3 cm

b)

9 cm

c)

3 in

d)

4 cm

80.

The area of the square pool on Mr. Carr's vacation was 256 ft². How long was one side of the pool?

a)

17 ft

b)

18 ft

c)

16 ft

d)

15 ft

81.

Whole numbers are natural numbers together with "zero."

a)

True

b)

False

82.

The number 100 is a perfect square.

a)

True

b)

False

83.

A number can be rational and irrational.

a)

True

b)

False

84.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

85.

Integers are whole numbers and their opposites.

a)

True

b)

False

86.

Which of the following statements is always true?

a)

All integers are whole numbers

b)

all rational numbers are integers

c)

some whole numbers are not rational numbers

d)

all whole numbers are integers

87.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

88.

Which statement is NOT true?

a)

0.121212… is a rational number.

b)

0.34353637 is an irrational number.

c)

8.14 is a rational number.

d)

5.12345… is an irrational number.

89.

-4 is not a whole number because:

a)

It's negative and whole numbers are positive.

b)

it's irrational.

c)

it cannot be turned into a fraction.

d)

it is even.

90.

Which of the following is NOT a subset of the rational numbers?

a)

Integers

b)

Whole Numbers

c)

Perfect square integers

d)

Irrational numbers

91.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

92.

A repeating or terminating decimal is classified as ___________?

a)

rational, real

b)

integer, rational, real

c)

irrational, real

d)

whole, integer, irrational, real

93.

List all the classifications of numbers that apply to the real number.
-1/4

a)

None

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational

94.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

95.

-0.775 is a

a)

Irrational Number

b)

Whole Number

c)

Integer

d)

Rational Number

96.

Positive and negatives with no decimals or fractions

a)

Whole number

b)

Natural number

c)

Integer

d)

Rational number

97.

All natural (counting) numbers are..

a)

Whole numbers

b)

Whole numbers, integers

c)

Whole numbers, integers, rational numbers

d)

Whole numbers, integers, rational numbers and irrational numbers

98.

All integers are...

a)

Rational numbers

b)

Whole numbers and rational numbers

c)

Irrational numbers

d)

Natural numbers and whole numbers

99.

The following Real Number Venn diagram correctly shows each set and subset:

a)

True

b)

False

100.

Choose the number(s) that apply to these sets: Real, Rational, Integer

a)

-27

b)

2/3

c)

0

d)

1/4

e)

2.75

101.

Which of the following is always true?

a)

All integers are whole numbers.

b)

Some whole numbers are not rational numbers.

c)

All rational numbers are integers.

d)

All whole numbers are integers.

102.

2x, 2y, and 2xy are like terms.

a)

true

b)

false

103.

Is 8.27 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

104.

Zero is a ___________.

a)

whole number

b)

natural number

c)

whole number, integer, and rational

d)

irrational

105.

The square root of 57 is ...

a)

rational

b)

irrational

106.

Classify this number: 6.7

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

107.

Classify this number: 2

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

108.

Classify this number: √10

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

109.

Classify this number: √25

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

110.

Which of the following numbers is rational?

a)

√8

b)

√16

c)

√50

d)

√75

111.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

112.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

113.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

Math 8 Review 12/2021

Total questions: 113

Worksheet time: 4hrs 46mins

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