ASVAB-Mathematics-Knowledge Dumps ASVAB-Mathematics-Knowledge Braindumps ASVAB-Mathematics-Knowledge Real Questions ASVAB-Mathematics-Knowledge Practice Test ASVAB-Mathematics-Knowledge Actual Questions Military ASVAB-Mathematics-Knowledge ASVAB Section 6 : Mathematics Knowledge https://killexams.com/pass4sure/exam-detail/ASVAB-Mathematics-Knowledge Question: 223 What’s the mode of the following series of numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12 A. 9 B. 8 C. 11 D. 10 Answer: B Explanation: The mode of a series of numbers is the number that appears in the series the most frequently. In this case, it’s 8. Question: 224 If a = 4, then a3 ÷ a = __________. A. 4 B. 12 C. 64 D. 16 Answer: D Explanation: (4 × 4 × 4) ÷ 4 = 64 ÷ 4 = 16 Question: 225 Which of the following is a prime number? A. 27 B. 11 C. 8 D. 4 Answer: B Explanation: A prime number is a number that can be divided evenly by itself or by one, but not by any other number. Choices 27, 8 and 4 can all be divided evenly by other numbers. Question: 226 (x + 4)(x + 2) = __________. A. x2 + 6x + 6 B. x2 + 8x + 8 C. x2 + 8x + 6 D. x2 + 6x + 8 Answer: 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. Question: 227 1.5 × 103= __________. A. 45 B. 150 C. 1,500 D. 15 Answer: C Explanation: 1.5 × 103= 1.5 × (10 × 10 × 10) = 1.5 × 1,000 = 1,500. Question: 228 (12 yards + 14 feet) ÷ 5 = __________. A. 12 feet B. 51/5 feet C. 10 feet D. 21/2 yards Answer: 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. Question: 229 x3 × x4 = __________. A. x12 B. 2×7 C. 2×12 D. x7 Answer: D Explanation: If two powers have the same base, they can be multiplied by keeping the base and adding the powers together. Question: 230 The fourth root of 16 is __________. A. 4 B. 1 C. 3 D. 2 Answer: D Explanation: 24 = 16; the fourth root of 16 is 2. Question: 231 What’s the equation of a line that passes through points (0, – 1) and (2, 3)? A. y = 2x – 1 B. y = 2x + 1 C. x = 2y – 1 D. x = 2y + 1 Answer: 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. Question: 232 The cube of 5 is __________. A. 125 B. 25 C. 15 D. 50 Answer: A Explanation: The cube of 5 = 5 × 5 × 5 = 125. Question: 233 2.5 × 33 = __________. A. 22.5 B. 75.0 C. 67.5 D. 675.0 Answer: C Explanation: 2.5 × 33= 2.5 (3 × 3 × 3) = 2.5 × 27 = 67.50. Question: 234 If x = 8, what’s the value of y in the equation: y = (x2 ÷ 4) – 2? 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