Question 1

Solve the formula $$A = lw$$ for $$l.$$

Accepted Answer

$$l = \dfrac{A}{w}$$

Question 2

If the perimeter $$P of a $$rectangle is given by $$P = 2l + 2w$$, solve for $$l in $$terms of $$P$$ and $$w.$$

Accepted Answer

$$l = \dfrac{P - 2w}{2}$$

Question 3

Express 0.82 as a percent.

Accepted Answer

82%

Question 4

A medication’s price increased from $$50 to 65. $$What is the percent increase?

Accepted Answer

30%

Question 5

Solve the formula $$T = D + pm$$ for $$m.$$

Accepted Answer

$$m = \dfrac{T - D}{p}$$

Question 6

What is 12% of 250?

Accepted Answer

30

Question 7

A car’s value decreased from $$20,000 to 16$$,000. What is the percent decrease?

Accepted Answer

20%

Question 8

Express 145% as a decimal.

Accepted Answer

1.45

Question 9

If $$18 is $$what percent of $$72$$?

Accepted Answer

25%

Question 10

A company’s revenue decreased from $$500,000 to 400$$,000 in one year. What is the percent decrease?

Accepted Answer

20%

Question 11

Solve the formula $$A = PB$$ for $$B.$$

Accepted Answer

$$B = \dfrac{A}{P}$$

Question 12

A student scored 36 out of 60 on a test. What percent did the student score?

Accepted Answer

60%

Question 13

A store marks down a $120 jacket by 25%. What is the sale price?

Accepted Answer

$90

Question 14

If $$9 is$$ $$60\% of $$what number?

Accepted Answer

15

Question 15

A population increased from 8,000 to 10,000. What is the percent increase?

Accepted Answer

25%

Question 16

A laptop originally costs $1,200. It is discounted by 20% in the first year and then increased by 20% in the second year. What is the final price after both changes?

Accepted Answer

$$960 	imes 1.20 = 1152$$

Question 17

A city’s population decreased from 50,000 to 47,500. What is the percent decrease?

Accepted Answer

5%

Question 18

If $$A = PB$$ and $$A = 24$$, $$P = 0.3$$, what is $$B$$?

Accepted Answer

$$B = 80$$

Question 19

A phone’s price drops from $$800 to 600. $$What is the percent decrease?

Accepted Answer

25%

Question 20

Express 0.056 as a percent.

Accepted Answer

5.6%

Formulas and Percents: Linear Equations and Inequalities in One Variable

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