Solving Quadratic Equations

Solve by Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (2x - 3)(x + 7) = 0

x = 1.5  and   x = -7

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 - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by factoring. 

x² - 6x = 27

x = 9 x = -3

500

Solve the following quadratic equation by factoring.
x² - 13x + 34 = 4

x = 10 and x = 3

Solve by 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 + 5= 126

+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:

(x+1)² - 9 = -8

0 or -2

500

Solve the following quadratic equation by using square roots:

5(x-2)² = 125

x = 7 and x = -3

Mixed Solving

100

Solve: 

x² = -36

No real solution

200

Solve: 

x² + 10x +16 = 0

x = -2 x = -8

300

Solve:

x² - 2x - 24 = 0

x = -4 x = 6

400

Solve: 

(x+3)² = 100

x = 7 and x = -13

500

Solve: 

x² - 4x = 5

x = 5 x = -1

Converting Forms

100

Convert to standard form 

y = (x +3)(x + 9)

y = x² +12x +27

200

Convert to standard form 

y = (x - 7)(x + 4)

y = x² - 3x - 28

300

Convert to standard form 

y = (2x - 3)(x + 8)

y = 2x² + 13x - 24

400

Convert to factored form 

y = x² + 2x -15

y = (x - 3)(x + 5)

500

Convert to factored form 

y = x² - 15x + 54

y = (x - 6)(x - 9)

Mixed Bag

100

What is the name of your principal? 

Kelly Shepard 

200

What color is yoshi? 

Green 

300

What is the date of field day? 

Friday, June 5th

400

Name the winner of the Super Bowl 2026

Seahawks!!!

500

When is the last day of school? 

Monday, June 15th