ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 31:

  x x x2 = __________.

  A. x2

  B. 2x

  C. 2x2

  D. x3

  Correct Answer: 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.

• Question 32:

  √25x2 = __________.

  A. x

  B. x2

  C. 5x2

  D. –5x2

  Correct Answer: C

  Explanation: √25x2 = √(5x)2 = 5x2

• Question 33:

  Factor 9x3 + 18x2 – x – 2.

  A. (9x2 – 1)(x + 2)

  B. (9x2 + 1)(x – 2)

  C. (9x2 + 2)(x – 1) D. (9x2 – 2)(x + 1)

  Correct Answer: C

  Explanation:

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

• Question 34:

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

  A. 1

  B. –1

  C. 2

  D. –2

  Correct Answer: 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

• Question 35:

  If 0.05x = 1, then x equals __________.

  A. 1⁄20

  B. 20

  C. 10

  D. 5

  Correct Answer: B

  Explanation:

  Divide both sides of the equation by 0.05 to isolate x: 0.05x ÷ 0.05 = 1 ÷ 0.05, or x= 20.

  To check your answer, substitute 20 for x in the original equation.

• Question 36:

  If y = 6, then 2y x y = __________.

  A. 12

  B. 72

  C. 18

  D. 242

  Correct Answer: B

  Explanation:

  Substitute 6 for y the equation: 2(6) x 6 = 12 x 6 = 72.

• Question 37:

  (y2)3 = __________.

  A. y5

  B. y6

  C. y3

  D. 3y2

  Correct Answer: B

  Explanation:

  (y2)3 is the same as (y2)(y2)(y2).

  Multiply exponents with the same base by keeping the base and adding the exponents: (y2) (y2) (y2) = y6.

• Question 38:

  What's the sum of the integers from 1 to 300?

  A. 38,243

  B. 45,150

  C. 49,923

  D. 52,024

  Correct Answer: B

  Explanation:

  The formula to find the sum of a finite arithmetic sequence is S =n/2(a+b), where n is the number of terms,

  a is the first term in the sequence, and b is the last term in the sequence.

  In this case there are 300 terms (n), and the first term is 1 and the final term is 300.

  S = n/2(a + b)

  S = 300/2(1 + 300)

  S = 150(301)

  S = 45,150

• Question 39:

  If a3 + b3 = a3 + x3, then b = __________.

  A. b3 – a3

  B. x

  C. a3 – b3

  D. a

  Correct Answer: B

  Explanation: To solve, subtract a3 from both sides of the equation: a3 + b3 – a3 = a3 + x3 – a3 b3 = x3 b = x

• Question 40:

  4! = __________.

  A. 16

  B. 40

  C. 0

  D. 24

  Correct Answer: D

  Explanation:

  4! (4 factorial) = 4 x 3 x 2 x 1 = 24.