Test Prep ASVAB Section 6: Mathematics Knowledge Exam (page: 1)
Test Prep ASVAB Section Six : Mathematics Knowledge
Updated on: 09-Feb-2026

If x = 8, what’s the value of y in the equation:
y = (x2 ÷ 4) – 2?

  1. 14
  2. 16
  3. 18
  4. 20

Answer(s): A

Explanation:

y = (x2 ÷ 4) − 2 y = (82 ÷ 4) − 2
y = (64 ÷ 4) − 2
y = 16 − 2 = 14



The cube of 5 is ________________.

  1. 125
  2. 25
  3. 15
  4. 50

Answer(s): A

Explanation:

The cube of 5 = 5 × 5 × 5 = 125.



2.5 × 33 = ______________.

  1. 22.5
  2. 75.0
  3. 67.5
  4. 675.0

Answer(s): C

Explanation:

2.5 × 33= 2.5 (3 × 3 × 3) = 2.5 × 27 = 67.50.



The fourth root of 16 is _____________.

  1. 4
  2. 1
  3. 3
  4. 2

Answer(s): D

Explanation:

24 = 16; the fourth root of 16 is 2.



What’s the equation of a line that passes through points (0, −1) and (2, 3)?

  1. y = 2x – 1
  2. y = 2x + 1
  3. x = 2y – 1
  4. x = 2y + 1

Answer(s): A

Explanation:

The slope of the line is equal to the change in y values divided by the change in x values. The change in y values is 4(3 – –1).
The change in x values is 2 (2 – 0). 4⁄2 = 2.
To find the intercept, substitute 0 for x in the equation y = 2x + b – 1 = 2(0) + b. Therefore, b = –1, so the equation is y = 2x – 1.



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