AFQT Mathematics Knowledge 3

Question 1

What is the least common multiple (LCM) of 6 and 8?

Accepted Answer

24

Answer

The LCM of 6 and 8 is 24, the smallest number divisible by both.

Question 2

A circle has a radius of 7. What is its circumference? (Use π ≈ 3.14)

Accepted Answer

43.96

Answer

Circumference = 2πr = 2 × 3.14 × 7 = 43.96.

Question 3

Solve for x: x/4 + 3 = 7

Accepted Answer

16

Answer

Subtracting 3: x/4 = 4, then multiplying by 4: x = 16.

Question 4

What is the slope of a line passing through (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.

Question 5

Which expression is equivalent to 5(2x - 3)?

Accepted Answer

10x - 15

Answer

Distributing: 5 × 2x = 10x and 5 × (-3) = -15, giving 10x - 15.

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