PARCC Algebra Practice Test 2 — Questions and Answers
Question 1: Solve for x: 3(x - 4) = 2x + 5.
- 17 (Correct answer)
- 9
- -7
- 1
Correct answer: 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: x² - 9.
- (x - 3)(x + 3) (Correct answer)
- (x - 3)²
- (x + 9)(x - 1)
- (x - 9)(x + 1)
Correct answer: (x - 3)(x + 3)
x² - 9 is a difference of squares equal to (x - 3)(x + 3).
Question 4: If f(x) = 2x² - 3x + 1, what is f(2)?
- 3 (Correct answer)
- 5
- 7
- 11
Correct answer: 3
f(2) = 2(4) - 3(2) + 1 = 8 - 6 + 1 = 3.
Question 5: Solve the inequality: 4x - 7 > 9.
- x > 4 (Correct answer)
- x < 4
- x > 16
- x > 1/4
Correct answer: x > 4
Add 7 then divide by 4 to get x > 4.
Question 6: Which expression is equivalent to 5(2x + 3) - 4x?
- 6x + 15 (Correct answer)
- 10x + 15
- 6x + 3
- 14x
Correct answer: 6x + 15
Distribute to 10x + 15 - 4x, which simplifies to 6x + 15.
Question 7: What are the solutions to x² - 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = 1 and x = 6
- x = -1 and x = 6
Correct answer: x = 2 and x = 3
It factors as (x - 2)(x - 3) = 0, so x = 2 or x = 3.
PARCC Algebra Practice Test 2
Solve for x: 3(x - 4) = 2x + 5.