PARCC Intermediate Mathematics 3 — Questions and Answers
Question 1: Solve for y: 4y + 9 = 33.
- 6 (Correct answer)
- 8
- 10.5
- 5
Correct answer: 6
Subtract 9 to get 4y = 24, then divide by 4 to get y = 6.
Question 2: What is the median of the data set 3, 8, 5, 12, 7?
- 7 (Correct answer)
- 8
- 5
- 12
Correct answer: 7
Ordered, the set is 3, 5, 7, 8, 12, and the middle value is 7.
Question 3: A rectangle has length 9 and width 4. What is its perimeter?
- 26 (Correct answer)
- 36
- 13
- 18
Correct answer: 26
Perimeter = 2(9 + 4) = 2 × 13 = 26.
Question 4: What is the product of (x + 3)(x + 2)?
- x² + 5x + 6 (Correct answer)
- x² + 6x + 5
- x² + 5x + 5
- x² + 6
Correct answer: x² + 5x + 6
Using FOIL: x² + 2x + 3x + 6 = x² + 5x + 6.
Question 5: If 5 pencils cost $1.75, what is the cost of 8 pencils at the same rate?
- $2.80 (Correct answer)
- $2.50
- $3.50
- $1.40
Correct answer: $2.80
Each pencil costs $0.35, so 8 × $0.35 = $2.80.
Question 6: What is the greatest common factor of 24 and 36?
- 12 (Correct answer)
- 6
- 4
- 72
Correct answer: 12
The largest number dividing both 24 and 36 evenly is 12.
Question 7: Evaluate the expression 3x² when x = 4.
- 48 (Correct answer)
- 144
- 24
- 36
Correct answer: 48
x² = 16, and 3 × 16 = 48.
