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

Use the Zero Product Property to solve the following quadratic equation. (x + 1)(x + 2) = 0

x = -2 x = -1

300

Use the Zero Product Property to solve the following quadratic equation. (x - 5)(x - 1) = 0

x = 5 x = 1

400

Use the Zero Product Property to solve the following quadratic equation. (x - 9)(x + 3) = 0

x = 9 x = -3

500

Use the Zero Product Property to solve the following quadratic equation. (x - 3)(x + 1/2) = 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

Factoring (2)

100

Solve the following quadratic equation: x² - 25 = 0

x = -5 x = 5

200

Solve the following quadratic equation: x² - 16 = 0

x = -4 x = 4

300

Solve the following quadratic equation: x² - 121= 0

x = -11 x = 11

400

Solve the following quadratic equation: x² - 36 = 0

x = -2 x = -8

500

Solve the following quadratic equation by completing the square: x² - 81 = 0

x = 5 x = -1

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4