ASVAB Mathematics Knowledge Test 4

Question 1

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

Accepted Answer

2

Answer

Slope = (y₂ - y₁)/(x₂ - x₁) = (11 - 3)/(6 - 2) = 8/4 = 2.

Question 2

Simplify: (3/4) ÷ (9/16)

Accepted Answer

4/3

Answer

Dividing by a fraction is the same as multiplying by its reciprocal: (3/4) × (16/9) = 48/36 = 4/3.

Question 3

The perimeter of a square is 52 inches. What is the area?

Accepted Answer

169 in²

Answer

Each side = 52/4 = 13 inches; area = 13² = 169 in².

Question 4

What is the least common multiple (LCM) of 8 and 12?

Accepted Answer

24

Answer

Multiples of 8: 8,16,24,...; multiples of 12: 12,24,...; the smallest shared multiple is 24.

Question 5

What are the solutions to x² - 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

Factor as (x - 2)(x - 3) = 0, giving x = 2 or x = 3.

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