ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 11:

  Solve for x: 5x - 2x = 7x + 2x - 24

  A. 2

  B. -2

  C. 4

  D. -4

  Correct Answer: C

  Explanation: 5x - 2x = 7x + 2x - 24 3x = 9x - 24 -6x = -24 6x = 24

  x = 4

• Question 12:

  (x + 4)(3x + 5) = __________.

  A. 3x2 + 9x+ 20

  B. 3x2 + 17x+ 15

  C. 3x2 + 17x+ 20

  D. 3x2 + 9x+ 20

  Correct Answer: C

  Explanation: (x + 4)(3x + 5) 3x2 + 12x +5x+ 20 3x2 + 17x+ 20

• Question 13:

  (x + 2)(x + 2) = __________.

  A. x2 + 2x + 4

  B. x2 + 4x + 4

  C. x2 + 4x + 2

  D. x2 + 2x + 0

  Correct Answer: B

  Explanation: (x + 2)(x + 2) x2 + 2x + 2x+ 4 x2+ 4x+ 4

• Question 14:

  Evaluate the expression 6a - 3x - 2y, if a = 3, x = 7, and y = 4.

  A. -5

  B. -40

  C. 31

  D. 40

  Correct Answer: A

  Explanation:

  Replace the unknowns with the numbers given. (6 x -3) - (3 x -7) - (2 x 4) = -18 + 21 - 8 = -5.

• Question 15:

  √820 is a number between __________.

  A. 20 and 30

  B. 10 and 20

  C. 80 and 90

  D. 40 and 50

  Correct Answer: A

  Explanation:

  202= 400, and 302= 900, so the range of 20 to 30 is correct.

• Question 16:

  If x = y, 6 + 4 (x - y) = __________.

  A. 6xy + 4

  B. 6 + 4xy

  C. 10x - 10y

  D. 6

  Correct Answer: D

  Explanation:

  6 + 4 (x - y) = 6 + 4x - 4y.

  Because x = y,4x = 4y.

  Therefore, 4x - 4y = 4x - 4x = 0, and 6 + 0 = 6.

• Question 17:

  (x3)2 = __________.

  A. x5

  B. x6

  C. x9

  D. 2x3

  Correct Answer: B

  Explanation: (x3)2 is the same as (x3)(x3). To multiply exponents with the same base, keep the base and add the exponents: (x3)(x3) = x6.

• Question 18:

  If I inches of rain fall in one minute, how many inches fall in H hours?

  A. IH ÷ 60

  B. 60I - H

  C. IH

  D. 60IH

  Correct Answer: D

  Explanation:

  To find out how much rain falls in an hour, multiply the amount that falls in one minute by 60 because 60

  minutes make up an hour. In H hours, the amount of rain is 60IH.

• Question 19:

  A cube has a volume of 64-cubic inches.

  What's the length of one side of the cube?

  A. 4 inches

  B. 16 inches

  C. 8 inches

  D. 32 inches

  Correct Answer: A

  Explanation:

  Volume equals length x width x height (V = lwh). Finding the cube root of 64 shows that each edge

  measures 4 inches.

• Question 20:

  3(2x - 5) - 2(4x + 1) = –5(x + 3) - 2

  A. 0

  B. 1

  C. 2

  D. 3

  Correct Answer: A

  Explanation: 3(2x - 5) - 2(4x + 1) = -5(x + 3) - 2 6x - 15 - 8x - 2 = -5x – 15 - 2 -2x - 17 = –5x - 17 3x - 17 = -17 3x = 0 3⁄3x = 0⁄3 x = 0