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Discounts and Markups: representing w/equations

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

Represent the situation with an equation:


The sale price of a tennis racquet is $21. This is 30% off the original price. What is the original price of the tennis racquet?

a)

21 = 0.3 w

b)

21 = 0.7 w

c)

a = 0.3 (21)

d)

a = 0.7 (21)

2.

Represent the situation with an equation:


A store pays $50 for a pair of shoes, then marks them up 25%. What is the selling price of the shoes?

a)

50 = 0.25 w

b)

50 = 0.75 w

c)

50 = 1.25 w

d)

a = 1.25 (50)

3.

Represent the situation with an equation:


Last year, 150 students signed up for the cross country team. This year, the coach anticipates a 20% increase in the number of participants. How many participants are expected this year?

a)

150 = 1.2 w

b)

a = 1.2 (150)

c)

150 = 0.8 w

d)

a = 0.8 (150)

4.

Represent this situation with an equation:


Boulan's sixth grade has 345 students. This is an 11% increase over last year. What was the size of Boulan's sixth grade last year?

a)

345 = 0.11 w

b)

345 = 1.11 w

c)

345 = 0.89 w

d)

a = 1.11 (345)

5.

Represent the situation with an equation, then find the percent increase or decrease.


A cross country runner ran a race in 25 minutes. The next race, he ran in 20 minutes. What is the percent change in his time?

a)

20 = 25m; 80% decrease

b)

20 = 25m; 20% decrease

c)

25 = 20 m; 125% increase

d)

25 = 20 m; 25% increase

6.

Represent the situation with an equation:


A car manufacturer gives an 8% employee discount. If the original price of a car is $24,000, how much does an employee pay?

a)

24,000 = 0.08 w

b)

24,000 = 0.92 w

c)

a = 0.08 (24,000)

d)

a = 0.92 (24,000)

7.

Represent the situation with an equation:


A student earns 30% more points on a retake than on the original test. If he earned 58.5 points on the retake, what was his original score?

a)

58.5 = 0.3 w

b)

58.5 = 0.7 w

c)

58.5 = 1.3 w

d)

a = 0.7 (58.5)

8.

Represent the situation with an equation, then find the percent discount.


An item was on the clearance rack priced at $15.50. If the original price was $62, what is the percent discount?

a)

62 = 15.5m; 4%

b)

15.5 = 62 m; 25%

c)

15.5 = 62 m; 75%

d)

62 = 15.5m; 96%

9.

Represent the situation with an equation, then solve:


A store owner purchases an item for $15 then sets the selling price at $36. What is the percent markup?

a)

36 = 15m; 140%

b)

36 = 15m; 40%

c)

15 = 36m; 41.7%

d)

15 = 36m; 58.3%