PARCC Algebra 2 — Questions and Answers
Question 1: Solve for x: 3(x - 4) = 2x + 5.
- x = 17 (Correct answer)
- x = 7
- x = -7
- x = 1
Correct answer: x = 17
Distribute to get 3x - 12 = 2x + 5, then x = 17.
Question 2: What is the slope of the line passing through (2, 3) and (6, 11)?
- 2 (Correct answer)
- 4
- 1/2
- 8
Correct answer: 2
Slope = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 3: Factor completely: x^2 - 9.
- (x - 3)(x + 3) (Correct answer)
- (x - 9)(x + 1)
- (x - 3)^2
- (x + 3)^2
Correct answer: (x - 3)(x + 3)
This is a difference of squares: x^2 - 9 = (x - 3)(x + 3).
Question 4: If f(x) = 2x + 1, what is f(5)?
- 11 (Correct answer)
- 10
- 7
- 6
Correct answer: 11
Substitute 5 for x: 2(5) + 1 = 11.
Question 5: Solve the inequality: 2x - 3 > 7.
- x > 5 (Correct answer)
- x > 2
- x < 5
- x > 10
Correct answer: x > 5
Add 3 to get 2x > 10, then divide by 2 to get x > 5.
Question 6: What are the solutions to x^2 - 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = 1 and x = 6
- x = 5 and x = 6
Correct answer: x = 2 and x = 3
Factor as (x - 2)(x - 3) = 0, giving x = 2 and x = 3.
Question 7: Simplify: 4x + 3(2x - 1).
- 10x - 3 (Correct answer)
- 10x + 3
- 6x - 1
- 14x - 3
Correct answer: 10x - 3
Distribute to get 4x + 6x - 3 = 10x - 3.
PARCC Algebra 2
Solve for x: 3(x - 4) = 2x + 5.