PARCC Advanced Mathematics 2 — Questions and Answers
Question 1: If f(x) = 2x² - 3x + 1, what is f(-2)?
- 15 (Correct answer)
- 11
- 3
- -1
Correct answer: 15
2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.
Question 2: 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
Factors as (x-2)(x-3)=0, so x=2 or x=3.
Question 3: What is the slope of the line passing through (1, 2) and (4, 11)?
- 3 (Correct answer)
- 1/3
- 9
- 13
Correct answer: 3
Slope = (11-2)/(4-1) = 9/3 = 3.
Question 4: Simplify: (x³)(x⁴).
- x⁷ (Correct answer)
- x¹²
- x
- 2x⁷
Correct answer: x⁷
Multiplying like bases adds exponents: 3+4=7.
Question 5: If log₂(x) = 5, what is x?
- 32 (Correct answer)
- 10
- 25
- 16
Correct answer: 32
log₂(x)=5 means 2⁵ = x = 32.
Question 6: What is the vertex of the parabola y = (x - 3)² + 4?
- (3, 4) (Correct answer)
- (-3, 4)
- (3, -4)
- (4, 3)
Correct answer: (3, 4)
Vertex form y=(x-h)²+k gives vertex (h,k)=(3,4).
Question 7: What is the sum of the interior angles of a hexagon?
- 720° (Correct answer)
- 540°
- 900°
- 360°
Correct answer: 720°
(n-2)·180 = (6-2)·180 = 720°.
If f(x) = 2x² - 3x + 1, what is f(-2)?