Term
A car travels 288 miles in 6 hours. At that rate, how many miles will it travel in 8 hours?
A. 360
B. 368
C. 376
D. 384 |
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Definition
| A car travels 288 miles in 6 hours. Divide 288 by 6 to find the rate in miles per hour. 288/6 = 48 miles per hour. Now multiply 48 x 8 to determine the distance traveled in 8 hours. 48 x 8 = 384 miles |
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Term
Martin's average score after 4 tests is 89. What score on the 5th test would bring Martin's average up to exactly 90?
A. 91
B. 92
C. 93
D. 94 |
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Definition
If Martin's average score after 4 tests is 89, then the sum for his 4 tests would be 4 x 89 = 356. To average 90 on 5 tests, you would have to reach a sum for the 5 tests of 450.
450 - 356 = 94 |
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Term
In 2000, the population of Town A was 9,400 and the population of Town B was 7,600. Since then, each year the population of Town A has decreased by 100 and the population of Town B has increased by 100. Assuming that in each case the rate continues, in what year will the two populations be equal?
A. 2009
B. 2010
C. 2117
D. 2118 |
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Definition
| If the first year begins with Town A at 9,400 and Town B at 7,600, the populations are 9,400 - 7,600 = 1,800 apart. Each year after 2000 beginning in 2001, the gap will close by 200. So it would take 9 more years for the gap to close entirely. So by 2009, the populations will be equal |
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Term
One number is 5 times another number and their sum is -60. What is the lesser of the two numbers?
A. -10
B. -12
C. -48
D. -50 |
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Definition
One number is 5 times another number, and their sum is -60. You could rewrite that sentence as two equations and solve:
x = 5y
x + y = -60
So 5y + y = -60. 6y = -60, and y = -10.
If y = -10, x = 5y = 5(-10) = -50. -50 is less than -10 |
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Term
John gets paid $6.00 for each of the first 40 toy cars he makes in a week. For any additional toy cars beyond 40 his pay increases by 50%. How much does John get paid in a week in which he makes 48 toy cars?
A. $288
B. $300
C. $312
D. $321 |
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Definition
| First, you must see that there are two rates by which John gets paid: one for the first 40 cars ($6 per car) and a different rate for all other cars after those first 40 ($6 per hour plus 50% of $6, which is $6 + $3, or $9 per car). Since he makes 48 cars, he gets paid $6 x 40 cars ($240) plus 8 extra cars at $9 per car ($72) which totals $312 |
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