Quadratics

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: (x+10)(x-10) = 300

x = 20 x = -20

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Simplify the following quadratic expression: 98x² - 200

2(7x+10)(7x-10)

Solving Equations

100

4x²=256

x = 8

x = -8

200

Solve the following quadratic equation:  4x² = 24x 

x = 0 

x = 6

300

Solve the following quadratic equation: 

36 + (x - 3)² = 52

x =- 1

x = 7

400

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

x = -2 x = -8

500

Solve the following quadratic equation: 2x² - 8x = 10

x = 5

x = -1

Adding/Subtracting Polynomials

100

(5x+4) - (5x+3)

1

200

(4x - 3x²) - (3x² + 4x)

-6x²

300

(8x - 3x⁴ + 10x²) - (3x² + 11x⁴ - 7)

-14x⁴ + 7x² + 8x - 7

400

(14x⁴ + 11x² - 9x⁵) - (-14 + 5x⁵ - 11x²)

−14x⁵ + 14x⁴ + 22x² + 14

500

(−9xy³ − 9 x⁴y³) + (3xy³ + 7y⁴ − 8x⁴y⁴) +  (3x⁴y³ + 2xy³)

−8x⁴y⁴ − 6x⁴y³ + 7y⁴ − 4xy³

Find The Vertex

100

Find the vertex of f(x)=-x²+8x-15

(4,1)

200

Find the vertex of f(x)=x²-2x

(1,-1)

300

Find the vertex of f(x)=5x²+2x-2

(-1/5,-11/5)

400

f(x)=-x²-4x

(-2,4)

500

Find the vertex of y=5x²-8x+3

(0.8,-0.2)