ASVAB/AFQT Arithmetic Reasoning Practice Test 46: Algebra

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

1. Captain Mike leaves the dock at 10:00 a.m. and travels down the calm river in his boat at 55 miles per hour. How far will he have traveled by 5:00 p.m.?

2. Matt, an attorney, invested the $35,000 profit he made from criminal defense cases. If the interest compounds monthly and he earns 5 percent interest on his investment, how much will he have earned in interest at the end of one year?

3. Bill forgets his 8-ounce glass of lemonade by the pool. If the lemonade evaporates at a rate of 50 percent every six hours, how much of the lemonade will be left after 18 hours?

4. Melanie's age is one-third of the age of her mother, Jeanne. In 12 years, Melanie will be half Jeanne's age. How old is Jeanne right now?

5. Starla and Phoenix each buy a membership to the hands-on museum for $7. For the next year, they can visit the museum for just $1. How much will they pay, together, if they each visit the museum 31 times in the next year?

6. Emmanuel saved nearly enough money to buy a $150 software program for his computer. He has 11 $10 bills, two fewer $1 bills, 17 quarters, eight dimes, and three nickels. How much more money does he need to save?

7. Cheese sells for $8 per pound, and turkey sells for $12 per pound. How many pounds of turkey should you buy to go home with a 19-pound combination of cheese and turkey that costs $200?

8. Express as an equation: The reciprocal of a number is equal to the sum of two times the number and its opposite.

9. Corporal Perry is shoveling sand into sandbags at a rate of 12 per hour. Gunny Peters comes to help, and he can shovel sand into sandbags at a rate of 16 per hour. How long would it take both Marines to fill 56 sandbags?

10. A machine fills a full set of crayon molds with wax in 6 hours. The old model of the same machine takes 8 hours to fill a full set of crayon molds. Together, how much time would it take both machines to fill a full set of crayon molds?

11. Express "The quantity of a number increased by nine is divided by three times itself, and the quotient equals y."

12. An Army team and a Navy team are running a relay race with participants stationed 500 meters apart. The first runner from each team starts from the same point at the same time. The Army runner runs at 8.6 miles per hour, and the Navy runner runs 0.3 miles per hour slower than the Army runner does. How much sooner will the Army runner reach her team's second participant than the Navy runner will?

13. If the product of a number and –3 is reduced by 4, the resulting number is 14 more than the opposite of that number. What is the number?

14. Shane is buying an unknown number of pounds of apples, which cost $4.50 per pound. He'll ultimately spend $27 on apples. How many pounds of apples will Shane buy?

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