Quadratic Equations

Solve with any Method

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

Solve with any Method

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

Multiplying Polynomials

100

What is the factored form of g(x)=x^2+15x-54?

(x+18)(x-3)

200

Which expression is equivalent to 24x^2-22x+5?

A. (12x+5)(2x+1)

B. (8x-5)(3x-1)

C. (12x-5)(2x+1)

C

300

What is y=3(x+2)^2+7 simplified?

y=3x^2+12x+19

400

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

x = -2 x = -8

500

Multiply: (3x+7)^2

9x^2+42x+49

Domain and Range

100

What is the domain of y=x^2-3

all real numbers

200

What is the domain of y=x^2?

all real numbers

300

What is the range of 2(x-5)^2-6

y>-5

400

What is the range of: y=2x² + 9x + 4

y>-6.125

500

What is the domain and range of g(x)=-1/4(x-17)^2+61

D: All real numbers

R: g(x)<61

Random Stuff

100

Find the vertex of f(x)=-x²+8x-15

(4,1)

200

Simplify: 2(x+1)^2-6

2x^2+4x-6

300

Find the vertex of f(x)=5x²+2x-2

(-1/5,-11/5)

400

f(x)=-x²-4x

What is the axis of symmetry?

x=-2

500

What are the transformations that occur in (x+2)^2-5

left 2, down 5