Quadratic Double Jeopardy

Solve by factorising first

100

Use the Null Factor Law to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Use the null factor law to solve (x+2)(x+1) = 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 - 5x - 14 = 0

x = -2 x = 7

500

Use the Null Factor Law to solve (2x-1)(3x+5) = 0

x = 1/2 and x=-3/5

Solve Simple Equations

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 = 25

x = -5 and 5

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation  x² -121=0

x = -11 and 11

500

Solve the following quadratic equation  2x² = 162

x = 9 and -9

Factoring in All Numbers

100

Factor: x²+ 6x 

x( x + 6)

200

Factor: x² +5x+6

(x +2)(x + 3)

300

Factor: x² - 2x - 24 

(x +4)(x - 6)

400

Factor:x² + 10x +16= 0

(x +2)(x + 8)

500

Factor: x² - 2x - 15

(x - 5)(x + 3)

Expanding

100

2x(x+3)

2x²+6x

200

-3x(x-4)

-3x²+12x

300

(x+10)(x+1)

x² +11x +10

400

(2x+3)(x-4)

2x² -5x-12

500

(2x-5)(2x+3)

4x² - 4x - 15 = 0

Features of a Parabola

100

What is the y-intercept of  f(x)=x²+8x+15

15

200

What are the x-intercepts of y=x² + x -12

x = 3 and -4

300

What is the equation of axis of symmetry of y=(x-5)(x+3)

x=-1

400

What is the turning point of this parabola? Is this a concave up or concave down parabola?

y = -x²+5

T.P = (0, 5) and concave down

500

What is the turning point of this parabola  y = (x-3)² + 5?

(3, 5)