ASVAB/AFQT Arithmetic Reasoning Practice Test 44: Algebra

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

1. How much will it cost Quintin to buy hardwood flooring for a room that measures 12 feet by 15 feet if hardwood flooring costs $8 per square foot?

2. Heather ran laps around a hexagonal track, and each side of the track measured 880 feet. How many laps would she need to run to reach a total of 73,920 feet?

3. Julian has an international calling plan on his phone that costs a flat $15-per-month fee, plus $0.21 per minute (or any portion thereof). How many minutes did he use if his bill was $71.70?

4. Omar had 28 paperclips, and Fred gave him n more. After Fred gave Omar n paperclips, Omar had 412. Express this as an equation.

5. Rose sells custom-printed vinyl banners for $2.32 per square foot. What was the size of the banner, in square feet, that Gabriela bought from Rose if she spent $118.32?

6. A road runs parallel to a set of train tracks. A car and a train start moving in opposite directions from the same point at the same time. The car travels at 45 miles per hour, while the train travels at 60 miles per hour. How long will it be until the car and the train are 100 miles apart?

7. Nathan is raising money to benefit a children's hospital. He wants to raise $1,500, but the donation sheet only provides space for 25 donors. On average, how much would each donor have to pitch in if Nathan reaches his goal while using only one donation sheet?

8. Ryan spends $235 on four shirts, four pair of pants, and one tie. If each pair of pants costs $30 and each shirt costs $25, how much is one tie?

9. All the kids in Hall Elementary are going on a field trip. For safety reasons, there needs to be one teacher to supervise every 24 students. If 288 students went on the field trip, how many teachers were there?

10. Benjamin works 15 hours per week to be eligible for a work-study program. In order to keep up his grades, Benjamin needs to study at least 12 more hours per week than he works. What is the minimum number of hours Benjamin needs to study to keep up his grades?

11. Mariam and Adam start driving in opposite directions at the same time, from the same point. Mariam is driving at 38 miles per hour, while Adam is driving at 22 miles per hour. How long will it take Mariam and Adam to drive until they're 50 miles apart?

12. Tysha went to the bookstore and purchased $626.15 worth of books. Paperback books cost $15.95 each, and hardcover books cost $27.95 each. She purchased a total of 37 books, so how many of them were paperbacks?

13. Olivia must mix a 20 percent concentrate with a mixture that has a 60 percent concentration to get 80 gallons of a mixture with a concentration of 30 percent. How many gallons of the 20 percent concentrate does the scientist need?

14. Create an equation that expresses the fact that Neil made 17 loaves of bread and each loaf weighs z ounces. All of the loaves together weigh 340 ounces.

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