Hurst - Solving Quadratic Equations

Solving

100

Solve the following quadratic equation.

(x - 7)(x + 2) = 0

x = 7 x = -2

OR

(7,0) (-2,0)

200

Solve the following quadratic equation. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation. x² - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation. x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation. 2x² - 5x - 3 = 0

x = -1/2 x = 3

Roots

100

Solve the following quadratic equation: x² -4 = 0

x = 2 x = -2

200

Solve the following quadratic equation: x² = 121

+11 or -11

300

Solve the following quadratic equation: x² = 100

x = 10 x = -10

400

Solve the following quadratic equation: x² -9 = -8

1 or -1

500

Solve the following quadratic equation: 5x² + 3 = 128

x = 5 x = -5

Quadratics

100

Identify the domain: x² + 6x = -8

all real numbers

200

Identify the vertex: x² + 6x = -8

(-3, -1)

300

Identify the axis of symmetry: x² - 2x -24 = 0

x = 1

400

Identify the range: x² + 10x = -16

y ≥ -9

500

Identify the axis of symmetry: 2x² - 8x = 10

x=2

Linear

100

Identify the rate of change

y=3x-4

3

200

Identify the y-intercept

y=2x+5

(0,5)

300

Identify the ZERO

y=4x-2

(0.5,0)

400

Identify the slope

y=-3x+5

-3

500

Identify the solution 

y=0.5x+2

(-4,0)

Max/Min

100

Identify the maximum f(x)=-x²+8x-15

max: 1

200

Find the vertex of f(x)=x²-2x

(1,-1)

300

Find the vertex of f(x)=5x²+2x-2

(-0.2,-2.2)

400

Identify the vertex: f(x)=-x²-4x

(-2,4)

500

Identify the minimum: of y=5x²+4x+3

Min: 2.2