AFOQT Mathematical Knowledge Principles 2 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is the value of x?
- 12 (Correct answer)
- -2
- 2
- 5
Correct answer: 12
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?
- 60
- 16
- 30 (Correct answer)
- 20
Correct answer: 30
Area equals one-half base times height, so (1/2)(10)(6) = 30.
Question 3: Simplify the expression: 4(2x + 3) - 5x.
- 3x + 12 (Correct answer)
- 13x + 3
- 8x + 12
- 3x + 3
Correct answer: 3x + 12
Distribute to get 8x + 12, then subtract 5x to get 3x + 12.
Question 4: What is 25% of 80?
- 25
- 20 (Correct answer)
- 15
- 40
Correct answer: 20
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?
- 6
- 12
- 9 (Correct answer)
- 18
Correct answer: 9
A square has four equal sides, so 36 divided by 4 equals 9.
Question 6: What is the value of 2³ + 3²?
- 17 (Correct answer)
- 13
- 12
- 25
Correct answer: 17
2³ equals 8 and 3² equals 9, and 8 + 9 = 17.
Question 7: Solve for y: y/4 = 9.
- 13
- 2.25
- 36 (Correct answer)
- 5
Correct answer: 36
Multiply both sides by 4 to get y = 36.
AFOQT Mathematical Knowledge Principles 2
If 3x - 7 = 2x + 5, what is the value of x?