AFOQT Mathematical Knowledge Principles 2

Question 1

If 3x - 7 = 2x + 5, what is the value of x?

Accepted Answer

12

Answer

Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

Question 2

What is the area of a triangle with a base of 10 and a height of 6?

Accepted Answer

30

Answer

Area equals one-half base times height, so (1/2)(10)(6) = 30.

Question 3

Simplify the expression: 4(2x + 3) - 5x.

Accepted Answer

3x + 12

Answer

Distribute to get 8x + 12, then subtract 5x to get 3x + 12.

Question 4

What is 25% of 80?

Accepted Answer

20

Answer

25% equals one-quarter, and 80 divided by 4 is 20.

Question 5

If a square has a perimeter of 36, what is the length of one side?

Accepted Answer

9

Answer

A square has four equal sides, so 36 divided by 4 equals 9.

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