PARCC Advanced Mathematics 2

Question 1

If f(x) = 2x² - 3x + 1, what is f(-2)?

Accepted Answer

15

Answer

2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

Question 2

What are the solutions to x² - 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

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)?

Accepted Answer

3

Answer

Slope = (11-2)/(4-1) = 9/3 = 3.

Question 4

Simplify: (x³)(x⁴).

Accepted Answer

x⁷

Answer

Multiplying like bases adds exponents: 3+4=7.

Question 5

If log₂(x) = 5, what is x?

Accepted Answer

32

Answer

log₂(x)=5 means 2⁵ = x = 32.

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