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 

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 


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 

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 


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 

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 


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 

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 


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 

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 

