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. 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

Completing the Square

100

What is the intermediate step in the form (x+a)²=b for the following quadratic equation by completing the square:

x² + 6x = -8

(x + 3)² = 1

200

What is the intermediate step in the form (x+a)²=b for the following quadratic equation by completing the square:

x² - 6x = -5

(x - 3)² = 4

300

What is the intermediate step in the form (x+a)²=b for the following quadratic equation by completing the square:

x² + 2x = 24

(x + 1)² = 25

400

What is the intermediate step in the form (x+a)²=b for the following quadratic equation by completing the square:

x² + 10x +16 = 0

(x + 5)² = 9

500

Solve the following quadratic equation by completing the square: x² - 4x = 10

(x - 2)² = 14

Quadratic Formula

100

Identify a, b, and c.

2x² + 8x + 5 = 0

a = 2,  b = 8,  c= 5

200

Identify a, b, and c.

x² + 9x + 8 = 14

a = 1,  b = 9,  c = -6

300

Set up the quadratic formula given: a=1, b=6, c=3

x=(-b +- sqrt(b^2-4ac))/(2a)

x=(-6 +- sqrt(6^2-4(1)(3)))/(2(1))

400

Set up the quadratic formula given: 3x²+2x-5=0

x=(-b +- sqrt(b^2-4ac))/(2a)

x=(-2 +- sqrt(2^2-4(3)(-5)))/(2(-5))

500

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

x = 5 x = -3/4

Which Strategy Is Best?

100

When there's no 'b' term. 

Square rooting, completing the square, factoring, or quadratic formula?

Solve by taking The Square Root

200

When it is factorable.

Square rooting, completing the square, factoring, or quadratic formula?

Solve by Factoring

300

Not factorable, a=1, and "b" is even. 

Square rooting, completing the square, factoring, or quadratic formula?

Solve by Completing The Square

400

When you can't use any other method. 

Square rooting, completing the square, factoring, or quadratic formula?

Solve by using The Quadratic Formula.