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  5. ASVAB Section 6: Mathematics Knowledge

Test Prep ASVAB Section 6: Mathematics Knowledge Exam Questions
ASVAB Section Six : Mathematics Knowledge (Page 8 )

Updated On: 21-Feb-2026
Page 8 of 47
PDF with 227 Questions

If 0.05 ÷ x = 1, then x = _____________.

  1. 0.05
  2. 0.5
  3. 50.0
  4. 5.0

Answer(s): A

Explanation:

Multiply both sides of the equation by 0.05 to isolate x: 0.05 ÷ x × 0.05 = 1 × 0.05 or x = 0.05. Check by substituting 0.05 for x in the original equation.



Factor x2 – 6x + 9.

  1. (x+ 6) (x + 6)
  2. (x – 6) (x + 6)
  3. (x – 3)2
  4. (x + 3)2

Answer(s): C

Explanation:

x2 – 6x + 9 = (x – 3)(x –3) = (x – 3)2



(3 × 2)(7 – 2)(6 + 2) = (6 × 4)x.
What’s the value of x?

  1. –5
  2. 5
  3. 10
  4. 1

Answer(s): C

Explanation:

Solve the left side of the equation first. (6) (5) (8) = 240. Therefore, 240 = (6 × 4)x, which equals 240 = 24x. Now isolate x by dividing both sides of the equation by 24:
240 ÷ 24 = 24x ÷ 24 or 10 = x.
Check your answer by substituting 10 for x in the original equation.



Solve for x: 2x – 6 = x + 5

  1. 3
  2. 11
  3. 7
  4. 5

Answer(s): B

Explanation:

Isolate x on one side of the equation:
2x – 6 = x + 5
2x – 6 – x = x + 5 – x x – 6 = 5
x – 6 + 6 = 5 + 6
x = 11
Check by substituting 11 for x in the original equation.



If I = prt, and p = $1,000, r = 7%, and t = 1, what does I equal?

  1. $35
  2. $1,000
  3. $700
  4. $70

Answer(s): D

Explanation:

Solve for I.
I = (1,000) (7%) (1) or I = (1,000) (0.07) (1) = 70.






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