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Armed Services Vocational Aptitude Battery Test: General Science, Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension, Mathematics Knowledge, Electronics Information, Automotive & Shop Information, Mechanical Comprehension, Assembling Objects Questions 906–910 (page: 183)

Updated On: 9-Feb-2026

Factor 9x3 + 18x2 ­ x ­ 2.

  1. (9x2 ­ 1)(x + 2)
  2. (9x2 + 1)(x ­ 2)
  3. (9x2 + 2)(x ­ 1)
  4. (9x2 ­ 2)(x + 1)

Answer(s): C

Explanation:

9x3 + 18x2 ­x ­ 2 = 9x2 (x + 2) ­ 1(x + 2) = (9x2 ­ 1)(x + 2)



Solve for x: 5x + 7 = 6(x ­ 2) ­ 4(2x ­ 3)

  1. 1
  2. ­1
  3. 2
  4. ­2

Answer(s): B

Explanation:

5x + 7 = 6(x ­ 2) ­ 4(2x­ 3)
5x + 7 = 6x ­ 12 ­ 8x + 12
5x + 7 = ­2x
7x + 7 = 0
7x = ­7
7/7x = ­7/7
x = ­1



x × x2 = __________.

  1. x2
  2. 2x
  3. 2x2
  4. x3

Answer(s): D

Explanation:

If two powers have the same base, they can be multiplied by keeping the base and adding the exponents together. In this case, x is the same as x1.



(5 + x)2 = __________.

  1. 5 ­ x
  2. 5 + x
  3. 5 ­ x
  4. 5 + x

Answer(s): B

Explanation:

This is so easy that it may tempt you to think that the correct answer is too obvious.
The square root of (5 + x)2 is simply 5 + x.



(3 × 3)(5 ­ 3)(6 + 2) = x2.
What's the value of x?

  1. 6
  2. 12
  3. 144
  4. 64

Answer(s): B

Explanation:

First solve the left side of the equation: (9)(2)(8) = 144. So x2 = 144. Find the square root of each side: x = 12.



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