Percents and Order of Ops Test Review

Exponents

Order of Operations

Percents, Decimals, Fractions

Part, Whole, Percent

Percent Word Problems

100

Write the exponential form and evaluate:

2 x 2 x 2 x 3 x 3

Credit: SchoolNet

2³ x 3² = 8 x 9 = 72

100

(4² x 2) - (8 + 2³)

Credit: SchoolNet

32 - 16 = 16

100

Write the equivalent percent and decimal.

1/4

1/4 = 25/100 = 25%

1/4 = 25/100 = 0.25

100

Identify the part, whole, and percent.

7 out of 10 is 70%.

Part: 7

Whole: 10

Percent 70%

100

According to a survey, 12 out of every 20 students in college live less than 100 miles away from home. What percentage of students live less than 100 miles away from home?

Credit: SchoolNet

Part/Whole = Percent/100

12/20 = 60/100

So 60% of the students live less than 100 miles from home.

200

Write the exponential form:

9 x 9 x 9 x 9 x 9 x 9 x 9 x 9

9⁸

200

2⁵÷ (85 - 83)³

Credit: SchoolNet

32 ÷ 8 = 4

200

Write the equivalent percent and decimal.

3/4

3/4 = 75/100 = 75%

3/4 = 75/100 = 0.75

200

Identify the part, whole, and percent.

You bought a $30 sweater. It was 10% off so you saved $3.

Part: $3

Whole: $30

Percent: 10% off

200

At a middle school, 17% of the students are in Mr. Smith’s art class. There are 400 students in the school. How many students are in Mr. Smith’s art class?

Credit: SchoolNet

Part/Whole = Percent/100

Part/400 = 17/100

68/400 = 17/100

So 68 of the students take the art class.

300

Write 8 x 8 x 9 x 9 x 9 in exponential form.

Credit: SchoolNet

8² x 9³

300

Simplify the expression:

6² ÷ 9 + 10(5² - 15)

Credit: SchoolNet

36 ÷ 9 + 10 (25 - 15)

36 ÷ 9 + 10 (10)

4 + 100

104

300

Write the equivalent fraction and decimal.

80%

80% = 80/100 = 8/10 = 4/5

80% = 80/100 = 0.80 = 0.8

300

What is 25% of 200?

Part/Whole = Percent/100

50/200 = 25/100

So 50 is 25% of 200.

300

A librarian asked students at her school which type of books they preferred. The results are shown below.

mystery: 150 students nonfiction: 60 students adventure: 90 students

What percentage of the students chose nonfiction as their favorite type of book?

Credit: SchoolNet

Part/Whole = Percent/100

60/300 = Percent/100

60/300 = 20/100

So 20% of the students prefer nonfiction books.

400

Write the expanded form and evaluate each expression:

2⁶

3⁴

4³

5³

2⁶= 2 x 2 x 2 x 2 x 2 x 2 = 64

3⁴ = 3 x 3 x 3 x 3 = 81

4³ = 4 x 4 x 4 = 64

5³ = 5 x 5 x 5 = 125

400

[3(2x4) + 2(6x3)] ÷ 5 - 3

Credit: SchoolNet

[3(8) + 2(18)] ÷ 5 - 3

[24 + 36] ÷ 5 - 3

60 ÷ 5 - 3

12 - 3 = 9

400

Write the equivalent percent and fraction.

0.4

0.4 = 4/10 = 40/100 = 40%

0.4 = 0.40 = 40/100 = 40%

400

4 out of 5 is what percent?

Part/Whole = Percent/100

4/5 = 80/100

So 4/5 is 80%

400

A soccer team won 90% of their games this season. The team won 18 games this season. How many games did the soccer team play this season?

Credit: SchoolNet

Part/Whole = Percent/100

18/Whole = 90/100

18/20 = 90/100

So they played 20 games.

500

Evaluate the expression:

(1/3)⁴x 3⁵

Credit: SchoolNet

1/3 x 1/3 x 1/3 x 1/3 x 3 x 3 x 3 x 3 x 3 =

1/81 x 243 = 243/81 = 241 ➗ 81 = 3

500

(63 - 4 x 2)/(3² + 2)

Credit: SchoolNet

(63-8)/(9+2)

55/11 = 5

500

Write the equivalent percent and decimal.

19/20

19/20 = 95/100 = 95%

19/20 = 95/100 = 0.95

500

10 is 40% of what number?

Part/Whole = Percent/100

10/Whole = 40/100

10/25 = 40/100

So 10 is 40% of 25.

500

The sale price for a sweater was $24. The sweater was 40% off. What was the original price of the sweater?

Credit: SchoolNet

The sales price is 40% off which means it represents 100-40 = 60% of the original price.

Part/Whole = Percent/100

24/Whole = 60/100

24/40 = 60/100

So the original price of the sweater was $40.