ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 51:

  If I = prt, and p = $1,000, r = 7%, and t = 1, what does I equal?

  A. $35

  B. $1,000

  C. $700 D. $70

  Correct Answer: D

  Explanation:

  Solve for I.

  I = (1,000) (7%) (1) or I = (1,000) (0.07) (1) = 70.

• Question 52:

  Solve for x: 2x – 6 = x + 5

  A. 3

  B. 11

  C. 7

  D. 5

  Correct Answer: B

  Explanation: Isolate x on one side of the equation: 2x – 6 = x + 5 2x – 6 –x = x + 5 – x x – 6 = 5 x – 6 + 6 = 5 + 6 x = 11 Check by substituting 11 for x in the original equation.

• Question 53:

  Factor x2 – 6x + 9.

  A. (x+ 6) (x+ 6) B. (x– 6) (x+ 6)

  C. (x– 3)2

  D. (x+ 3)2

  Correct Answer: C

  Explanation:

  x2 – 6x + 9 = (x– 3)(x–3) = (x– 3)2

• Question 54:

  (3 x 2)(7 – 2)(6 + 2) = (6 x 4)x.

  What's the value of x?

  A. -5

  B. 5

  C. 10

  D. 1

  Correct Answer: C

  Explanation:

  Solve the left side of the equation first. (6) (5) (8) = 240.

  Therefore, 240 = (6 x 4)x, which equals 240 = 24x.

  Now isolate x by dividing both sides of the equation by 24:

  240 ÷ 24 = 24x ÷ 24 or 10 = x.

  Check your answer by substituting 10 for x in the original equation.

• Question 55:

  If 0.05 ÷ x = 1, then x = __________.

  A. 0.05

  B. 0.5

  C. 50.0

  D. 5.0

  Correct Answer: A

  Explanation:

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

  Check by substituting 0.05 for x in the original equation.

• Question 56:

  The reciprocal of 1⁄6 is __________.

  A. 1

  B. 3

  C. 6

  D. 1⁄3

  Correct Answer: C

  Explanation:

  A reciprocal is the number by which a number can be multiplied to produce 1.

  So the reciprocal of 1⁄6 is 6 because 1⁄6 x 6 = 1.

• Question 57:

  Convert 314,000 to scientific notation.

  A. 3.14 x 105

  B. 3.14 x 10-5

  C. 314 x 10

  D. 31.4 x 100

  Correct Answer: A

  Explanation:

  To convert this number to scientific notation, move the decimal point to the left until it's to the immediate

  right of the first number, while counting the number of moves. In this case, you move it 5 places. The result

  is then multiplied by 10, raised to the power of the number of places the decimal point was moved.

• Question 58:

  The cube root of 64 is __________.

  A. 3

  B. 9

  C. 2

  D. 4

  Correct Answer: D

  Explanation:

  The cube of 4 = 4 x 4 x 4 = 64, so 4 is the cube root of 64.

• Question 59:

  x2 x x4 = __________.

  A. x6

  B. x8

  C. 2x6

  D. 2x8

  Correct Answer: A

  Explanation:

  If two exponents have the same base, you can multiply them by keeping the base and adding the

  exponents together.

• Question 60:

  If a rectangle has a perimeter of 36 feet, and it's 4-feet wide, what's its area?

  A. 56 square feet

  B. 128 square feet

  C. 112 square feet

  D. 16 square feet

  Correct Answer: A

  Explanation:

  To find area, multiply length times width (A = lw).

  To determine the length, subtract two times the width from the perimeter: 36 – 2(4) = 36 – 8 = 28.

  Then divide the remainder by 2 to determine the length of one side: 28 ÷ 2 = 14.

  Then multiply length times width to determine the area: 14 x 4 = 56.