PARCC Intermediate Mathematics 2 — Questions and Answers
Question 1: What is the value of x in the equation 3(x - 4) = 2x + 5?
- 17 (Correct answer)
- 1
- -7
- 9
Correct answer: 17
Distribute to get 3x - 12 = 2x + 5, then subtract 2x and add 12 to get x = 17.
Question 2: A line passes through points (2, 3) and (6, 11). What is its slope?
- 2 (Correct answer)
- 1/2
- 4
- 8
Correct answer: 2
Slope = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 3: What is 40% of 250?
- 100 (Correct answer)
- 90
- 110
- 625
Correct answer: 100
0.40 × 250 = 100.
Question 4: Simplify the expression: 5x + 3 - 2x + 7.
- 3x + 10 (Correct answer)
- 7x + 10
- 3x + 4
- 8x
Correct answer: 3x + 10
Combine 5x - 2x = 3x and 3 + 7 = 10 to get 3x + 10.
Question 5: What is the area of a triangle with base 12 cm and height 5 cm?
- 30 cm² (Correct answer)
- 60 cm²
- 17 cm²
- 120 cm²
Correct answer: 30 cm²
Area = ½ × base × height = ½ × 12 × 5 = 30 cm².
Question 6: If a number is increased by 25% to become 75, what was the original number?
- 60 (Correct answer)
- 50
- 56.25
- 100
Correct answer: 60
Let the original be n; 1.25n = 75, so n = 75/1.25 = 60.
Question 7: What is the value of 2³ + 3²?
- 17 (Correct answer)
- 13
- 25
- 36
Correct answer: 17
2³ = 8 and 3² = 9, so 8 + 9 = 17.
What is the value of x in the equation 3(x - 4) = 2x + 5?