ASVAB/AFQT Arithmetic Reasoning Practice Test 40: Algebra

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

1. Two pilots, Justin and Bradley, leave MacDill Air Force Base in KC-135 aircraft at 12:00 p.m. and 12:30 p.m., respectively. Justin flies his aircraft at 464 miles per hour, and Bradley flies his at the aircraft's maximum flying speed, which is 580 miles per hour. How long will it take Bradley to catch up to Justin?

2. A truck begins driving from a warehouse in Tampa and heads toward Jacksonville driving 40 miles per hour. Two hours later, a truck leaves the same warehouse with a delivery for Jacksonville but travels at 60 miles per hour. How long will the first truck have been on the road by the time the second truck overtakes it?

3. How long will it take Ayla to bicycle 6 miles if she's pedaling at 8 miles per hour?

4. Fani has 18 awards to give to her troops during an award ceremony. One-third of the awards are Army Commendation Medals. One-half of the awards are Army Achievement Medals. The remaining awards are Certificates of Achievement. How many Certificates of Achievement will Fani give to her troops?

5. Marie and Darl are filling a swimming pool. It will take Marie 6 hours to fill the pool alone, and it will take Darl 5 hours to fill it alone. How quickly can they fill it together?

6. Jesse, Tina, and David have $80 among them. Tina has twice as much as Jesse does, and David has $5 less than Tina does. How much does David have?

7. Express as an equation: The product of two numbers is 75, and one of them is 15 more than the other.

8. The sum of two consecutive odd numbers is 60. What is the higher odd number?

9. Patrick has $50, which is $8 more than twice what Noah has. How much money does Noah have?

10. Express as an equation: Four times a number is six more than one-third of the number.

11. Pili has $346, which is $36 more than twice what Beto has. How much does Beto have?

12. Andrew and Kara charge Evan 20 percent of their total rent per month to live in their condo. Together, they pay a total of $1,875 in rent. Andrew and Kara pay equal amounts, so how much is Andrew paying?

13. Divana has x green marbles in a bag. The pink marbles total nine more than twice the number of green marbles in the same bag. Which equation shows how many pink marbles Divana has?

14. Janice spent $135 at the casino. Her twin sister Judi spent half of what Janice spent, but Judi also paid $23 for the taxi ride home. How much more money did Janice spend than Judi?

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