Grade 8: Unit 7 Quadratic Formula

Generic Rectangles

100

Find the sum and product of the generic rectangle:

x²        7x

5x       35

Sum: x²+12x+35

200

Use a generic rectangle to factor 2x²-3x-20

(2x+5)(x-4)

300

Find the sum and product of the generic rectangle:

3x²     -24x

4x      -32

Sum: 3x²-20x-32

Product: (3x+4)(x-8)

400

Use a generic rectangle to factor 20x²+7x-6

(4x+3)(5x-2)

Diamond Method

100

Factor the quadratic equation using the diamond method:

4x² - 2x - 3

(2x+1)(2x-2)

200

Factor the quadratic equation using the diamond method: 

3x² +26x +35

(3x+5)(x+7)

300

Factor the quadratic equation using the diamond method: 

15x² -2x - 8

(5x-4)(3x+2)

400

Factor the quadratic equation using the diamond method: 

99x² - 5x - 56

(9x-7)(11x+8)

Perfect Square/ Zero Product Property

100

Factor using Perfect Square Form:

4x²-49

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

200

Factor using Perfect Square Form:

x² - 32x + 256

(x-16)(x-16)

300

Factor using the Zero Product Property:

3x² + 24x 

(3x)(x+8)

x=0 and -8

400

Factor using the Zero Product Property:

0=5x(9x-2)(3x+6)

x= -2, 0, 2/9

Quadratic Formula

100

Solve using the Quadratic formula:

9x²+6x+1

x= -1/3

200

Solve using the Quadratic formula:

x² - 96 = 0

x=±4√6 

300

Solve using the Quadratic Formula:

9x²=11x

x=0, 11/9

400

Solve using the Quadratic Formula: 

3x² – 2x + 5 = 10x + 1

x= (6+/- 2√ 6)/ 3

Poppleton Trivia

100

Ms. Poppleton's favourite class in school (aside from math)

Art (Ceramics or Printmaking)

200

The table number that Ms. Poppleton sat at for the OWS auction. (1-25)

Table 2

300

Ms. Poppleton's preferred ice cream flavour.

Coffee or coconut

400

The last movie Ms. Poppleton watched.

Wonka