Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps (page: 31)

Page 31 of 57

Solve the following equations for x.
5x + 4y = 27
x − 2y=11

  1. x = 3
  2. x = 9
  3. x = 4.5
  4. x = 7

Answer(s): D

Explanation:

To solve these equations for x, begin by finding a way to eliminate y. Multiply both sides of the second equation by 2.
2(x − 2y) = 2 × 11
2x − 4y = 22
Add the new form of the second equation to the first equation, and solve for x. 5x + 4y = 27
2x − 4y = 22
(+4 cancels −4)
7x = 49
x = 7



If a is a negative number, and ab is a positive number, then which of the following must be true?

  1. b is positive
  2. a is greater than b
  3. b is negative
  4. b is greater than a

Answer(s): C

Explanation:

The product of a negative number and a positive number is always negative. The product of two negative numbers is always a positive number. Since ab is positive and a is negative, b must be negative, too.



Solve the following inequality.
x + 5 > 7

  1. x = 2
  2. x > 2
  3. x − 7 > 5

Answer(s): B

Explanation:

The expression (x + 5 > 7) is a statement of inequality, it means that x plus 5 is greater than 7 – not equal to it. To solve this inequality, subtract 5 from both sides of the statement.
x + 5 > 7
x + 5 − 5 > 7 − 5
x > 2
Thus the statement of inequality is true for any value of x that is greater than 2. Try it with 3, for example. 3 + 5 > 7
8 > 7 a true statement



What is 4% of 0.0375?

  1. 0.0015
  2. 0.9375
  3. 0.0775
  4. 0.15

Answer(s): A

Explanation:

Multiply 0.0375 by 4% (or 0.04).
0.0375 × 0.04 = 0.001500 = 0.0015
Note that the product has as many decimal places as there are in the multiplicand and multiplier combined, but the two final zeros may be dropped since they are to the right of the decimal point and at the end.



Page 31 of 57



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