Unit 9 Test Review - Solving 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: 3x² = 75

+5 or -5

300

Solve the following quadratic equation by using square roots: 4x² +23= 423

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: (x-9)² = 4

x=11 or x=7

500

Solve the following quadratic equation by using square roots: 5(x+2)² = 45

x =1 or x=-5

Any Method

100

Solve the following quadratic equation by any method: x² + 6x = -8

x = -2 x = -4

200

Solve the following quadratic equation by any method: x² - 6x = -5

x = 1 x = 5

300

Solve the following quadratic equation by any method: x² - 2x - 24 = 0

x = -4 x = 6

400

Solve the following quadratic equation by any method: x² + 10x +16 = 0

x = -2 x = -8

500

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

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

Warm Up

100

What is the equation of the axis of symmetry if the graph's vertex is at (4,9)?

x=4

200

What is the vertex in the equation:

f(x) = 2(x+3)²-8

(-3,-8)

300

Simplify the following expression:

(2x³y)(5xy⁵)

10x⁴y⁶

400

Solve the equation for s:

r = st - v

(r-v)/t

500

Write vertex form of an equation with vertex at (-2,4) and goes through the point (0,0).

f(x) = -1(x+2)²+4