Quadratic Equations Test Review

What is the PRODUCT of the solution to the equations 4x^2 - 2 = 0? Use a calculator.

-1/2

What is the SUM of the solutions to the equation 5x^2 + 3x - 2 = 0?

-3/5

What must be added to both sides of the quadratic to solve it by completing the square? x^2 - 10x = 2

25

Simplify. (3a^2b^2 + 2ab^2 - 2a^2b + 3ab) - (3ab^2 + ab - 3)

3a^2b^2 - ab^2 - 2a^2b + 2ab + 3

What must be added to both sides of the quadratic to solve it by completing the square? r^2 + 4r = 0

4

After you have eliminated the constant on the left side of the equation what else must be added to both sides of the quadratic to solve it by completing the square? x^2 + 6x - 5 = 0

9

For which equations is the solution (-4,0)? A) x^2 + 4x = 0 B) x^2 - 4x = 0 C) x^2 + 4 = 0 D) (x + 4)^2 = 0

A

For which equation is the solution set {1/4, 1/2}? A) 8x^2 - x + 6 = 0 B) 8x^2 - 6x + 1 = 0 C) 4x^2 + 2x + 1 = 0 D) 2x^2 - 4x + 1 = 0

B

For which equation is the solution set {-1, 5}? A) x^2 + 4x - 5 = 0 B) x^2 + 4x + 5 = 0 C) x^2 - 4x - 5 = 0 D) x^2 - 4x + 5 = 0

C

Can the quadratic x^2 - 5x - 6 = 0 be factored? If so, what are the factors?

Yes; (x - 6)(x + 1)

Simplify. (3x - 2y + 2) - 2(x + 3y - 3)

x - 8y + 8

Simplify. (xyz)(xy^2)(y^3z^2)

x^2y^6z^3

What is the solution set for the quadratic equation 4y^2 + 4y - 3 = 0?

{-3/2, 1/2}

What is the solution set for the quadratic equation x^2 + 8x + 4 = 0

{-4 + 2√3, -4 - 2√3}

What is the solution set for the quadratic equation x^2 + 5x + 4 = 0?

{-4, -1}