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 - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by factoring. 

2x² - 12x - 54 = 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: (x-6)² = 64

x = 14x = -2

Solve by Graphing

100

Find the solution(s) to the quadratic by graphing.

f(x)= x²-2x+1

x=1

200

Solve the quadratic equation by graphing

f(x)=x²-8x+12

x = 2, x = 6

300

Solve the following quadratic equation by graphing

f(x)=-2x²+8x

x = 0 x = 4

400

Solve the following quadratic equation by completing the square: x² + 10x +16 = 0

x = -2 x = -8

500

Solve the following quadratic equation by completing the square: 

f(x)=2x² - 8x +6

x = 3 x = 1

Simplifying Radicals

100

Simplify the square root of 128

8 radical 2

200

Simplify the square root of 54

3 radical 6

300

Simplify the square root of 48

4 radical 3

400

Simplify the square root of 1000

10 radical 10

500

Simplify the square root of 2500

50

Mixed Problems

100

Find the vertex of f(x)=-x²+8x-15

(4,1)

200

Solve the equation 2x²-7x+3=0

x=3, x=1/2

300

Solve the equation (x-4)²+18=54

x=10, x=-2

400

Solve by graphing: f(x)=-x²-4x

x=0, x=-4

500

Solve the equation 2/3x²=24

x=6, x=-6