PARCC Advanced Mathematics 3

Question 1

Solve for x: 3(x - 2) = 2x + 5.

Accepted Answer

11

Answer

3x-6=2x+5, so x=11.

Question 2

What is the discriminant of x² + 4x + 5 = 0?

Accepted Answer

-4

Answer

b²-4ac = 16-20 = -4.

Question 3

A negative discriminant means a quadratic has what kind of roots?

Accepted Answer

Two complex roots

Answer

A negative discriminant yields two complex conjugate roots.

Question 4

What is (3 + 2i) + (1 - 5i)?

Accepted Answer

4 - 3i

Answer

Add real and imaginary parts: (3+1)+(2-5)i = 4-3i.

Question 5

Factor completely: x² - 16.

Accepted Answer

(x - 4)(x + 4)

Answer

Difference of squares: x²-16 = (x-4)(x+4).

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