ASVAB/AFQT Arithmetic Reasoning Practice Test 42: Algebra

Directions: In this test, you are tested on your ability to use arithmetic. Choose the best answer for each question.

1. Queiana and Charles are choosing teams for dodgeball. There are b boys in the class, which is two more than twice the number of girls in the class. How many girls are in the class?

2. Private Joe Snuffy spent $42 on new combat boots. This was $14 less than twice what he spent on tan T-shirts for his uniform. How much were the tan T-shirts?

3. Luz filled up her 10-gallon gas tank with regular unleaded fuel for $30. Tony used premium fuel, which costs 25 percent more per gallon, to fill his 10-gallon gas tank. Assuming both of their gas tanks were empty, how much did Tony spend?

4. Express in an equation: The quotient of y and 5 is x.

5. Two dogs, Jack and Cujo, escaped from the yard. Cujo left at 10 a.m. and ran down the street at 5 miles per hour. Jack left six minutes later and ran down the same street in the same direction at 10 miles per hour. What time did Jack catch up with Cujo?

6. How long will it take Toby to run 26.2 miles if he averages exactly 5 miles per hour?

7. Express the length mathematically: The length of a field, x, is 35 yards more than its width, y.

8. Two journalists are racing to a political rally that's 420 miles away. They both leave at 12:15, but Channel 7's reporter is driving 70 miles per hour while Channel 4's reporter is driving 60 miles per hour. How much sooner, in minutes, will Channel 4's reporter arrive to get the scoop?

9. Express mathematically: The product of x and y is greater than or equal to the quotient of b and c.

10. Safir has six times as much money as Abbas does, but if Safir earns $6 and Abbas earns $8, Safir will have three times as much money as Abbas. How much does Safir have after both men earn the additional money?

11. The sum of two numbers is 638. One of the numbers is 164 more than the other. What are the two numbers?

12. Ron and Lillian worked for a month. Ron made three-quarters of what Lillian made, plus $164. How much did Ron make if, together, they made $4,600?

13. The sum of two consecutive numbers is 51. What are the numbers?

14. Renee picks strawberries at a rate of 110 per hour. Jeniece picks strawberries at a rate of 108 per hour. How many strawberries can the women pick together in three hours?

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