ASVAB Practice Test: Video 2 Answers (25 Questions)

Question 1

How much greater is the value of 3x + 5 than the value of 3x − 7?

Accepted Answer

12

Answer

To find how much greater one expression is than another, subtract the second expression from the first: (3x + 5) - (3x - 7). Distributing the negative sign gives 3x + 5 - 3x + 7. The '3x' terms cancel out, leaving 5 + 7, which simplifies to 12. Thus, 3x + 5 is 12 greater than 3x - 7.

Question 2

The hour hand of a watch rotates 30 degrees every hour. How many complete rotations does the hour hand make in 6 days?

Accepted Answer

12

Answer

The hour hand completes one full 360-degree rotation every 12 hours. In 6 days, there are 6 * 24 = 144 hours in total. To find the number of complete rotations, divide the total hours by the hours it takes for one rotation: 144 hours / 12 hours/rotation = 12 rotations. So, the hour hand makes 12 complete rotations in 6 days.

Question 3

How many 1/3 pound paperback books together weigh 25 pounds?

Accepted Answer

75

Answer

To find out how many books are needed, divide the total desired weight by the weight of a single book. The total weight is 25 pounds, and each book weighs 1/3 pound. Dividing 25 by 1/3 is equivalent to multiplying 25 by the reciprocal of 1/3, which is 3. Therefore, 25 * 3 = 75 books.

Question 4

Which of the following is equivalent to 2 times the total of x plus y?

Accepted Answer

2x + 2y

Answer

The phrase 'the total of x plus y' translates to the expression (x + y). '2 times' means to multiply this sum by 2, resulting in 2(x + y). Applying the distributive property, this expression expands to 2x + 2y, meaning 2 is multiplied by both x and y individually.

Question 5

The absolute value of 5 plus a number equals 10. Which of the following options is the correct solution set for the above equation?

Accepted Answer

{-15, 5}

Answer

An absolute value equation |A| = B means that A can be B or A can be -B. So, for |5 + a number| = 10, we set up two equations: 5 + x = 10 and 5 + x = -10. Solving the first gives x = 5, and solving the second gives x = -15. Thus, the correct solution set is {-15, 5}.

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB Practice Test: Video 2 Answers (25 Questions)