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  5. ASVAB Section 6: Mathematics Knowledge

Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps (page: 3)

Page 2 of 57
PDF with 227 Questions

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.



(12 yards + 14 feet) ÷ 5 = ____________ .

  1. 12 feet
  2. 51⁄5 feet
  3. 10 feet
  4. 21⁄2 yards

Answer(s): C

Explanation:

Convert 12 yards and 14 feet to feet: (12 yards × 3 feet per yard) + 14 feet = 36 feet + 14 feet = 50 feet. Divide by 5 as instructed: 50 feet ÷ 5 = 10 feet.



x3 × x4 = _________.

  1. x12
  2. 2x7
  3. 2x12
  4. x7

Answer(s): D

Explanation:

If two powers have the same base, they can be multiplied by keeping the base and adding the powers together.



(x + 4)(x + 2) = ______________ .

  1. x2 + 6x + 6
  2. x2 + 8x + 8
  3. x2 + 8x + 6
  4. x2 + 6x + 8

Answer(s): D

Explanation:

Multiply the first variable in the first set of parentheses with the first variable in the second set of parentheses (x× x = x2).
Next, multiply the first variable in the first set of parentheses with the second number in the second set of parentheses (x × 2 = 2x). So far, the results are x2 + 2x.
Now, multiply the second number in the first set of parentheses to the first variable in the second set of parentheses (4 × x = 4x).
Next, multiply the second variable in the first set of parentheses to the second number in the second set of parentheses (4 × 2 = 8).
The solution is x2+ 2x + 4x + 8.
Combining the like terms results in x2+ 6x + 8.






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