Quadratics revision

Solving quadratics

100

What is x:

(x-2)(x-3)=0

x = 2 and x = 3

200

What is x:

(x+4)(x-5)=0

x = -4 and x = 5

300

What is x:

(x+6)(x+10)=0

x = -6 and x = -10

400

What is x

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

x = 2.5 and x = -3

500

What is x:

x^2+8x+15=0

x = -3 and x = -5

Expanding quadratics

100

What goes in the gap?

(x+2)(x+4)=x^2 +6x+?

8

200

What goes in the gap?

(x+3)(x+4)=x^2+?+12

7x

300

Expand the brackets:

(x+1)(x+4)

x^2+5x+4

400

Expand the brackets

(x+7)(x-3)

x^2+4x-21

500

Expand the brackets:

(2x-5)(x+3)

2x^2 +x-15

Factorising quadratics

100

What goes in the gap?

x^2+5x+6=(x+2)(x+?)

3

200

What goes in the gap?

x^2 +10x+16=(x+2)(x+?)

8

300

Factorise:

x^2+9x+18

(x+3)(x+6)

400

Factorise:

x^2+2x-24

(x+6)(x-4)

500

Factorise:

x^2-x-20

(x-5)(x+4)

Mixed questions

100

What is x?

(x-2)(x-5)=0

x = 2 and x = 5

200

What goes in the gap?

(x-3)(x+5)=x^2+?-15

2x

300

Factorise:

x^2 +4x+4

(x+2)(x+2)

(x+2)^2

400

Expand the brackets:

(x-3)(x+3)

x^2-9

500

Factorise:

9x^2 -4

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