Question 1

If the euro is worth 32% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?

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Question 2

Two years ago the shares of Diamond Strike Resources traded at a price of $3.40 per share. One year later the shares were at $11.50, but then they declined in value by 35% during the subsequent year. Calculate:
a) The percent change in the share price during the first year.
b) The current share price.

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Question 3

The Hampton District school board decided to reduce the number of students per teacher next year by 15%. If the number of students does not change, by what percentage must the number of teachers be increased?

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Question 4

Mutual Fund A charges an annual management fee of 2.38% of money under management. The corresponding management fee for Mutual Fund B is 1.65%. On the same invested amount, what percentage more fees will you pay to Fund A than to Fund B?

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Question 5

The Lightning laser printer prints 30% more pages per minute than the Reliable laser printer. What percentage less time than the Reliable will the Lightning require for long print jobs?

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Question 6

Last year, Canada's exports to the U.S. exceeded imports from the U.S. by 9.62%. By what percentage were the United States' exports to Canada less than its imports from Canada?

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Question 7

A hospital can increase the dollar amount budgeted for nurses' overtime wages during the next year by only 3%. The nurses union has just won an 11% hourly rate increase for the next year. By what percentage must the hospital cut the number of overtime hours in order to stay within budget?

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Question 8

Simplify and collect like terms: 2(7x - 3y) - 3(2x - 3y)

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Question 9

Barry recently sold some stock after holding it for 2 years. The stock rose 150% in price during the first year but fell 40% in the second year. At what price did he buy the stock if he sold it for $24 per share?

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Question 10

In January of 2008, the federal government reduced the GST rate from 6% to 5%. What was the resulting percent reduction in the dollar amount of GST consumers paid on any item?

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Question 11

Simplify and collect like terms:

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Question 12

A car dealer normally lists new cars at 22% above cost. A demonstrator model was sold for $17,568 after a 10% reduction from the list price. What amount did the dealer pay for this car?

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Question 13

If the Canadian dollar is worth 1.5% less than the U.S. dollar, by what percentage does the U.S. dollar exceed the value of the Canadian dollar?

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Question 14

After Island Farms increased the container size for its premium ice cream from 1.65 L to 2.2 L, the retail price increased from $5.49 to $7.98. What was the percent change in the unit price?

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Question 15

The owner listed a property for 140% more than she paid for it 12 years ago. After receiving no offers during the first 3 months of market exposure, she dropped the list price by 10%, to $172,800. What was the original price that the owner paid for the property?

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Question 16

Mountain Sports is advertising "30% Off All Skiing Equipment" in its Spring Clearance Sale. On ski boots marked down to $348.60, what is the regular price?

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Question 17

Simplify and collect like terms: 4(a² - 3a - 4) - 2(5a² - a - 6)

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Question 18

Albion Distributors' revenues and expenses for the fiscal year just completed were $2,347,000 and $2,189,000, respectively.
a) If in the current year revenues rise by 10% but expense increases are held to 5%, what will be the percent increase in operating profit?
b) If, instead, revenues decline by 10% and expenses are reduced by 5%, what will be the percent change in operating profit?

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Question 19

Simplify:

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Question 20

The price of the shares of Nadir Explorations Ltd. fell by 76% in the past year, to the current price of $0.45 per share. In dollars and cents, how much did the price of each share drop in the past year?

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Quiz 2: A: Review and Applications of Algebra