ASVAB/AFQT Arithmetic Reasoning Practice Test 39: Algebra

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

1. A football team at its own 10-yard line loses 10 yards, and then it gains 15 more. What is the team's net progress after these two plays?

2. Cheryl bought a caramel latte for herself and one for each member of her 10-person team. Each latte cost $4.50, so how much did Cheryl save after receiving a 10 percent loyalty discount?

3. Angela is 6 years older than Christina. Six years ago, Angela was twice Christina's age. How old are they now?

4. David paid $17.50 for a toy after receiving a $15 military discount. What was the toy's original price?

5. Perry sold a house for $192,500. She makes a 3 percent commission on the house's total sale price. What was Perry's commission?

6. Kim has a pocket full of change that includes pennies, nickels, and dimes. She has three more nickels than dimes and four times as many pennies as nickels. How many of each coin does Kim have if the total value is 65 cents?

7. The sum of two numbers is 20. One number is 34. What is the remaining number?

8. Amy has 6 times as many dimes as she has quarters in her piggy bank. She has a total of 21 coins, and they total $2.55. How many dimes and quarters does she have?

9. Half a number plus 12 is 35. What is the number?

10. Danielle leaves San Antonio at 5:00 p.m., driving 35 miles per hour. Her sister Abigail leaves San Antonio at 6:00 p.m., traveling in the same direction on the same road, driving at 40 miles per hour. How long will it be (from the time Danielle left) before their cars are side-by-side on the expressway?

11. Matthew has a 12-coin collection that includes only nickels and dimes. If the total amount of money in Matthew's collection is $1.10, how many of each coin does he have?

12. Dan bought a fishing pole from David Edwin's Fishing Emporium for $15.95. Dan spent some money on bait and twice as much on tackle. His total bill was $36.95. How much did he spend on bait and tackle?

13. Luke has 4.5 hours to play soccer and read. The time he spends playing soccer is twice the amount of time he spends reading. How long will Luke play soccer?

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