Algebra Test Quadratic Equations 2

Question 1

What is the solution to x² = 16?

Accepted Answer

x = ±4

Answer

Taking the square root of both sides gives x = ±4.

Question 2

Which correctly factors 3x² + 9x?

Accepted Answer

3x(x + 3)

Answer

Factor out the GCF of 3x to get 3x(x + 3).

Question 3

For the parabola y = -2x² + 4x - 1, which direction does it open?

Accepted Answer

Downward

Answer

Since the leading coefficient a = -2 is negative, the parabola opens downward.

Question 4

What is the solution set of x² + 4x + 4 = 0?

Accepted Answer

x = -2

Answer

Factor as (x + 2)² = 0, giving x = -2 as a double root.

Question 5

Using the quadratic formula, solve x² - 2x - 3 = 0.

Accepted Answer

x = 3 and x = -1

Answer

Using x = (2 ± √(4 + 12))/2 = (2 ± 4)/2 gives x = 3 or x = -1.

Algebra Test Practice Test