PERT Mathematical Reasoning & Problem Solving 2 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is the value of x?
- 12 (Correct answer)
- 2
- -2
- 6
Correct answer: 12
Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.
Question 2: A store marks up an item that costs $40 by 25%. What is the selling price?
- $50 (Correct answer)
- $45
- $65
- $48
Correct answer: $50
25% of $40 is $10, so the selling price is $40 + $10 = $50.
Question 3: What is the slope of the line passing through points (2, 3) and (6, 11)?
- 2 (Correct answer)
- 4
- 1/2
- 8
Correct answer: 2
Slope equals (11 - 3)/(6 - 2) = 8/4 = 2.
Question 4: Simplify: 2(3x + 4) - 5x.
- x + 8 (Correct answer)
- 11x + 8
- x + 4
- 6x - 1
Correct answer: x + 8
Distribute to get 6x + 8 - 5x, which simplifies to x + 8.
Question 5: If a recipe needs 2 cups of flour for 12 cookies, how much flour is needed for 30 cookies?
- 5 cups (Correct answer)
- 4 cups
- 6 cups
- 2.5 cups
Correct answer: 5 cups
The ratio is 2/12 = x/30, so x = 60/12 = 5 cups.
Question 6: What is the value of (-3)^2 + 4 × 2?
- 17 (Correct answer)
- 1
- -1
- 14
Correct answer: 17
(-3)^2 = 9 and 4 × 2 = 8, so 9 + 8 = 17.
Question 7: A rectangle has length 8 cm and width 5 cm. What is its area?
- 40 cm² (Correct answer)
- 26 cm²
- 13 cm²
- 45 cm²
Correct answer: 40 cm²
Area of a rectangle is length × width = 8 × 5 = 40 cm².
PERT Mathematical Reasoning & Problem Solving 2
If 3x - 7 = 2x + 5, what is the value of x?