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Equations,Ratio, Proportion, Percent and Interest Test

Name:_______________________

Solve:

1) 59 is 58% of what number?

2) What percentage of 81 is 13?

3) You and your friends order a meal for $155.79. How much should you leave (including tip) if

you want to leave a 18% tip?

4) You and your friends order a meal for $92.10. How much should you leave (including tip) if

you want to leave a 12% tip?

5) While shopping for a gift, you find the perfect pair of tennis shoes on sale for 90% off its

original $47.71 price. How much will you pay for the pair of tennis shoes?

6) While shopping for a gift, you find the perfect DVD on sale for 37% off its original $50.39

price. How much will you pay for the DVD?

7) Zina borrows $2350 at 6% simple interest per year. When Zina pays the loan back 6 years

later, what is the total amount that Zina ends up repaying?

8) Opal borrows $2590 at 2.9% simple interest per month. When Opal pays the loan back 8 years

later, what is the total amount that Opal ends up repaying?

9) Gina borrows $2720 at 16% interest compounded yearly. When Gina pays the loan back 6

years later, how much interest does Gina pay?

10) Tim borrows $3950 at 0.6% interest compounded monthly. When Tim pays the loan back 10

months later, how much interest does Tim pay?

11) A video game was originally priced at $10.38, and is marked down to $2.70. What is the

percentage decrease in price?

12) A skirt was priced at $2.01 last week. This week the same skirt is priced at $3.44. What is the

percentage increase in price?

13) A skirt was priced at $10.83 last week. This week the same skirt is priced at $4.73. What is

the percentage change in price?

14) A pair of sneakers was priced at $5.85 last week. This week the same pair of sneakers is

priced at $9.82. What is the percentage change in price?

15) Tim can travel 43 feet in 11 minutes. Please calculate Tim’s rate of speed. (round to 2

decimal places)

16) Dan found 60 lamps for $8. Please help Dan by figuring out the ratio. (round to 2 decimal

places)

17) A display case of gold chains are marked 9 for $61. If Peter wants to buy 144 gold chains,

how much will Peter spend (not including tax)?

18) A display case of video games are marked 31 for $5. If Lisa has $70, how many video games

can Lisa get? (Assume no tax or other fees.)

19) A aluminum bar 7 feet long weighs 21 pounds. What is the weight of a similar bar that is 3

feet 9 inches long?

20) If the ratio of grapes to walnuts to oranges is 9:3:11, how many grapes are there if the total

number of fruits is 161?

21) In a cafeteria, the ratio of the number of girls to the number of boys was 1:2. When 24 girls

entered the cafeteria, the new ratio of the number of girls to the number of boys became 2:1.

How many pupils were in the auditorium at first?

22) If Zach’s rent is $960 per month and Zach moved in on the 9

th

of July, what will Zach’s

prorated amount be?

Solve for x:

23) x − 8 = 1

24) x − 6 = -6

25) x + 7 = 9

26) x + 9 = -6

27) (x/3) = -7

28) (x/5) = 4

29) -8x = 32

30) -2x = 6

Solve:

31) It takes Yin 1 hours to paint a house and Erin 7 hours to do the same job. How many hours

would it take them to paint a house working together?

32) It takes Betty 3 hours to build a statue and Heather 3 hours to do the same job. How many

hours would it take them to build a statue working together?

33) Sara travels up a hill at 20 mph. and back down at 160 mph. What is the average speed for

the entire trip?

34) Lisa drives three laps around a track at 100, 80, and 60 km per hour. What is his average

speed?

35) Ursula is 5 years older than Larry. In 4 years Ursula will be twice as old as Larry is. How

old are they now?

36) Craig’s uncle at 25 years of age is 5 years more than 5 times as old as Craig. What is Craig’s

age?