Solving Quadratic Equations

Solve by 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 - 6x + 5 = 0

x = 5 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

Solve by Factoring (Difference of 2 Squares)

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

Review Questions

100

What is the slope:  

y= -3x + 5

The slope is -3

200

Find the slope given two points:

(4, -6) and  (7, -8)

m= -2/3

300

Simplify      (x³  y²)⁴ 

x¹²y⁸

400

True or False

ALL quadratics can be solved by factoring. 

False.  If an answer is irrational (square root of 2) you must use the quadratic formula or complete the square to solve.

500

Tell if the equation is linear, quadratic, or an absolute value function?  Then find the vertex.

y= -2|x-3| + 4  

Absolute Value Function

The vertex is (3, 4)