Q: If the perimeter of a rectangle is given by $$P = 2L + 2W$$, and the length is 40 meters, the width is 23 meters, what is the perimeter?

$$P = 2 \times 40 + 2 \times 23$$

Question 1

A company sells widgets for $$80 each. If the company sells x widgets, the total revenue is 80x. If $$the company wants to earn $2520 in revenue, how many widgets must it sell?

Accepted Answer

$$x = \frac{2520}{80}$$

Question 2

Solve for x: $$10x + x = 252. $$What is the value of x?

Accepted Answer

$$x = 140$$

Question 3

A taxi company charges a flat fee of $$22 plus 4 $$per mile. If a ride costs $78, how many miles were traveled?

Accepted Answer

$$x = \frac{78 - 22}{4}$$

Question 4

After a 30% discount, you purchase a dictionary for $30.80. What was the price before the discount?

Accepted Answer

$$x = \frac{30.80}{0.7}$$

Question 5

A cell phone plan charges $$0.05 per minute plus a monthly fee of 80. If $$your bill is $730, how many minutes did you use?

Accepted Answer

$$x = \frac{730 - 80}{0.05}$$

Question 6

A rectangle has a length that is 2 meters less than twice its width. If the perimeter is 138 meters, what is the width?

Accepted Answer

$$w = 23$$

Question 7

If a car's value decreases by $$500 each year, and its current value is 20$$,000, how many years will it take for the car's value to reach $7,000?

Accepted Answer

$$x = \frac{20,000 - 7,000}{500}$$

Question 8

According to the American Bureau of Labor Statistics, you will spend 32 years sleeping and 24 years working. If x is the number of years spent sleeping, what equation represents this relationship?

Accepted Answer

$$x = 32$$

Question 9

A company charges $$0.05x + 0.08x = 730$$ for a service. What is the value of x?

Accepted Answer

$$x = \frac{730}{0.13}$$

Question 10

If the perimeter of a rectangle is given by $$P = 2L + 2W$$, and the length is 40 meters, the width is 23 meters, what is the perimeter?

Accepted Answer

$$P = 2 	imes 40 + 2 	imes 23$$

Question 11

A company offers a salary of $$22,000 plus 1$$,700 for each year of experience. If an employee earns $56,000, how many years of experience does the employee have?

Accepted Answer

$$x = \frac{56,000 - 22,000}{1,700}$$

Question 12

A store sells apples at $$1.05 each. If you buy x apples and spend 252$$, how many apples did you buy?

Accepted Answer

$$x = \frac{252}{1.05}$$

Question 13

A company charges $$0.05x + 0.08x = 880$$ for a service. What is the value of x?

Accepted Answer

$$x = \frac{880}{0.13}$$

Question 14

If a rectangle's length is 2 meters less than twice its width, and the perimeter is 138 meters, what is the length?

Accepted Answer

$$L = 2 	imes 23 - 2$$

Question 15

A dictionary is sold for $30.80 after a 30% discount. What equation would you use to find the original price?

Accepted Answer

$$x - 0.3x = 30.80$$

Question 16

A company charges $$0.05x + 0.08x = 730$$ for a service. What is the combined rate per unit?

Accepted Answer

$$0.13$$

Question 17

If you spend 32 years sleeping and 24 years working, what fraction of your life is spent sleeping if you live 80 years?

Accepted Answer

$$\frac{32}{80}$$

Question 18

A company charges $$0.05x + 0.08x = 880$$ for a service. What equation would you use to solve for x?

Accepted Answer

$$0.13x = 880$$

Question 19

If a car's value decreases by $$500 each year, and its current value is 20$$,000, how many years will it take for the car's value to reach $7,000?

Accepted Answer

$$x = \frac{20,000 - 7,000}{500}$$

Solving Word Problems and Applications in College Algebra

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