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Prep2007E1-PS-20

It takes Carlos 9 minutesto drive from home to work at an average rate of 22 miles per hour. How many minutes will it take Carlos to cyclefrom home to work along the same route at an average rate of 6 miles per hour?


Prep2007E1-PS-19

For a finite sequenceof nonzero numbers, the number of variations in sign is defined as the numberof pairs of consecutive terms of the sequence for which the product of the twoconsecutive terms is negative. What isthe number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 ?


Prep2007E1-PS-18

3 teaspoons = 1tablespoon

4 tablespoons = ~$\frac{1}{4}$~ cup

Accordingto the information above, how many teaspoons are equal to ~$\frac{3}{8}$~ cup?


Prep2007E1-PS-17

In a certain board game, a stack of 48 cards, 8 ofwhich represent shares of stock, are shuffled and then placed face down. If the first 2 cards selected do notrepresent shares of stock, what is the probability that the third card selectedwill represent a share of stock?


Prep2007E1-PS-16

When ~$\frac{2}{3}$~of the garments in a shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?


Prep2007E1-PS-15

At a speed of 50 miles per hour, a certain car uses 1gallon of gasoline every 30 miles. Ifthe car starts with a full 12 gallon tank of gasoline and travels for 5 hoursat 50 miles per hour, the amount of gasoline used would be what fraction of afull tank?


Prep2007E1-PS-14

~$\frac{\left ( 8^{2} \right )\left ( 3^{3} \right )\left (2 ^{4} \right )}{96^{2}}$~ =


Prep2007E1-PS-12

Last year a certainbond with a face value of $5,000 yielded 8 percent of its face value ininterest. If that interest wasapproximately 6.5 percent of the bond's selling price, approximately what wasthe bond's selling price?


Prep2007E1-PS-10

If a = 7 and b = -7,what is the value of ~$2a-2b+b^{2}$~ ?


Prep2007E1-PS-9

Last year the rangeof the annual salaries of the 100 employees at Company X was $30,000. If the annual salary of each of the 100employees this year is 10 percent greater than it was last year, what is therange of the annual salaries of the 100 employees this year?


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