Solving Quadratic Equations

Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factoring. x² - 5x - 6 = 0

x = 6 x = 1

400

Solve the following quadratic equation by factoring. x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation by factoring. 2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

Solve the following quadratic equation by using square roots: x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

Questions

100

What is the first thing you should do when solving a quadratic equation?

Look for a GCF or set it equal to zero.

200

What is the opposite of squaring something?

Taking the square root

300

What property does this represent:

If a*b=0, then either a=0 or b=0 or both.

Zero Product Property

400

When solving a quadratic equation, what do you change "y" to?

0

500

What is another word for solutions?

Zeros

GCF

100

What is the GCF: 4x - 16?

4

200

What is the GCF: 3x^2 - 12x??

3x

300

What is the GCF: x^2 -9x?

x

400

What is the GCF: -3x^2 +18x

-3x

500

What is the GCF: -2x^2 +14x -24 ?

-2

Special Patterns

100

When a quadratic equation has only 2 terms, what special pattern could it be?

Difference of Two Squares

DOTS

200

When a quadratic has 3 terms with the 1st and last terms being perfect squares, what could it be?

Perfect Square Trinomial

PST

300

Find the solutions of x^2 - 25.

{-5, 5}

400

Find the solutions of 4x^2 - 81=0

{-9/2, 9/2}

500

Find the solutions of x^2 -20x + 100 = 0.

10