ASVAB subject guide
Mathematics knowledge
Apply algebra, geometry, exponents, and number rules accurately.
Core review
What to study
- Follow the order of operations.
- Perform the same operation on both sides of an equation.
- Draw and label geometry figures before using a formula.
Five-question review
Try original mathematics knowledge questions.
Attempt each question before opening the answer and explanation.
Solve for x: 5x - 7 = 18.
- 3
- 4
- 5
- 7
Reveal answer and explanation
Correct answer: 5
Add 7 to get 5x = 25, then divide by 5: x = 5.
What is 3² × 3³?
- 3⁵
- 6⁵
- 9⁶
- 3⁶
Reveal answer and explanation
Correct answer: 3⁵
When multiplying powers with the same base, add exponents: 3² × 3³ = 3⁵.
A right triangle has legs of 6 and 8. What is the hypotenuse?
- 10
- 12
- 14
- 15
Reveal answer and explanation
Correct answer: 10
By the Pythagorean theorem, c² = 6² + 8² = 100, so c = 10.
Simplify: 4(2x - 3) + 5.
- 8x - 7
- 8x - 12
- 6x + 2
- 8x + 2
Reveal answer and explanation
Correct answer: 8x - 7
Distribute 4, then combine constants: 8x - 12 + 5 = 8x - 7.
What is the area of a circle with radius 4?
- 4π
- 8π
- 16π
- 32π
Reveal answer and explanation
Correct answer: 16π
Area is πr², so π × 4² = 16π.
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