ALLIED MAT105 MODULE 5 CHECK YOUR UNDERSTANDING

Question Points

1. There are 12,491 students at the university and 32% are registered for courses in business. How many are registered for courses in business?

a. 390 students

b. 3034 students

c. 3997 students

d. 2562 students

Hint: Chapter 6

SLO7:Solve application problems.

LO7B:solve problems using percent equations and proportions.

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2. By selling a home without using a realtor, Barb can avoid paying a 7.25% commission. She received an offer of $275,000 from a potential buyer. In order to give a comparable offer, for what price would a realtor need to sell the house? Round to the nearest hundred.

a. $245,100

b. $300,500

c. $375,000

d. $296,500

Hint: Chapter 6

SLO7:Solve application problems.

LO7D:describe interest rates, sales tax, commission rates, and discounts.

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3. Solve for t.

a. 0.64

b. 400

c. 0.2

d. 40

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3C:solve arithmetic problems using ratios and proportions.

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4. It takes Kaeden 6 min to type two-thirds of a page. At this rate, how long will it take him to type a 5-page report?

a. 45 min

b. 40 min

c. 35 min

d. 30 min

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3C:solve arithmetic problems using ratios and proportions.

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5. What is 15% of 30?

a. 2

b. 4.5

c. 0.5

d. 200

Hint: Chapter 6

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3E:identify examples of percentages and their notation.

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6. At one point in their last season, the Chargers had won 61.5% of their games. If they won 8 games, how many games did they play?

a. 10 games

b. 13 games

c. 8 games

d. 5 games

Hint: Chapter 6

SLO7:Solve application problems.

LO7B:solve problems using percent equations and proportions.

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7. Jennifer invest $10,000 at 7% simple interest. How much is in the account after ½ year?

a. $13,500

b. $10,350

c. $100,350

d. $135,500

Hint: Chapter 6

SLO7:Solve application problems.

LO7D:describe interest rates, sales tax, commission rates, and discounts.

1

8. What is the simple interest on a principle of $225 at the interest rate of 3.9% for 1 year?

a. $5.77

b. $877.5

c. $57.69

d. $8.78

Hint: Chapter 6

SLO7:Solve application problems.

LO7D:describe interest rates, sales tax, commission rates, and discounts.

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9. Tanner earns a commission of $1415.04 selling $6432 worth of electronics. What is the commission rate?

a. 4.5%

b. 2.2%

c. 22%

d. 45%

Hint: Chapter 6

SLO7:Solve application problems.

LO7D:describe interest rates, sales tax, commission rates, and discounts.

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10. The number of complaints declined from an average of 24 per month to an average of 15 per month. Find the percent of decrease.

a. 1.6%

b. 19.2%

c. 37.5%

d. 30%

Hint: Chapter 6

SLO7:Solve application problems.

LO7B:solve problems using percent equations and proportions.

1

11. What is the rate, in kilometers per hour? 240 kilometers, 16 hours

a. 24 km/h

b. 5 km/h

c. 15 km/h

d. 4 km/h

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3C:solve arithmetic problems using ratios and proportions.

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12. 12 is what percent of 90?

a. 7 ½%

b. 1080%

c. 2/9%

d. 13 1/3%

Hint: Chapter 6

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3E:identify examples of percentages and their notation.

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13. Write fraction notation for the ratio and do not simplify: 19 to 83

a. 19/83

b. 83/19

c. 1/3

d. 9/8

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3A:define ratios and proportions.

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14. Find the ratio of the first number to the second number and simplify: 24 to 84

a. 2/3

b. 12/7

c. 2/7

d. 1/12

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3B:distinguish between ratios and proportions.

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15. Solve for t.

a. 0.5

b. 2

c. 8

d. 1300.5

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3C:solve arithmetic problems using ratios and proportions.

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16. Mark's car traveled 182 mi on 6.5 gal of gasoline. At this rate, how many gallons would be needed to travel 240 mi?

a. 10 2/7 gal

b. 8 4/7 gal

c. 4 9/2 gal

d. 2 1/3 gal

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3C:solve arithmetic problems using ratios and proportions.

1

17. A bicycle marked $340 is on sale at 15% off. What is the discount? The sale price?

a. $51.00, $289.00

b. $15.00, $298.00

c. $289.00, $13.00

d. $45.00, $253.00

Hint: Chapter 6

SLO7:Solve application problems.

LO7D:describe interest rates, sales tax, commission rates, and discounts.

1

18. A student working at a book store earned $4875 for working 15 weeks one summer. What was the rate of pay per week?

a. $375/wk

b. $325/wk

c. $275/wk

d. $215/wk

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3C:solve arithmetic problems using ratios and proportions.

1

19. On 18 September 2009, it was known that 1 U.S. dollar was worth 1.633 British pounds. How much would 20 British pounds be worth in U.S. dollars? Round to the nearest cent.

a. $12.25

b. $60.00

c. $0.06

d. $32.66

Hint: Chapter 5

SLO3:Demonstrate the use of ratios, proportions, and percents.

LO3C:solve arithmetic problems using ratios and proportions.

1

20. Perry's commission rate is 18%. He invests his commission from the sale of $8000 worth of merchandise at an interest rate of 11%, compounded quarterly. How much is Perry's investment worth after 6 months?

a. $1440.00

b. $1459.62

c. $1520.29

d. $1535.15

Hint: Chapter 6

SLO7:Solve application problems.

LO7D:describe interest rates, sales tax, commission rates, and discounts.

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