Year 8 Factorising and Expanding

Expanding

100

6(x+2)

6x+12

200

3(x+5)

3x+15

300

−x(4+y)

−4x−xy

400

2a(3b+7)

6ab+14a

500

5(p+2q)

5p+10q

Factorising

100

12b+4b

4b(3+1)

200

12x+16

4(3x+4)

300

15a−25ab

5a(3-5b)

400

18m+24n

6(3m+4n)

500

21x−14y

7(3x−2y)

Word Problems

100

A concert ticket costs (x+2) dollars. If 4 people buy tickets, expand to find the total cost.

4x+8

200

A box holds 5(x+2) chocolates. Expand to find the total.

5x+10

300

A carpenter cuts 6y+9z pieces of wood. Factorise the expression.

3(2y+3z)

400

The perimeter of a square is written as 4(a+3). Expand the expression.

4a+12

500

A shop sells 10m−20 apples. Factorise the expression.

10(m−2)