Year 8 Algebra

Collecting Like Terms

100

3x + 5x

8x

200

7a + 2a - 4a

5a

300

7a + 2a +5b

9a + 5b

400

9a - 5a + 3b - b

4a + 2b

500

7a - 6b + a + 3b

8a - 3b

Expanding Brackets

100

2 (y + 4)

2y + 8

200

3( 2a + 5)

6a + 15

300

f (4d + 7)

4df + 7f

400

j ( j - 6)

j² - 6j

500

3e(2e+4a)

6e² + 12ae

Solving Backwards

100

a+10=13

a=3

200

3a=30

a=10

300

2a+11=25

a=7

400

3a-12=6

a=6

500

5(a-4)=20

a=8

Multiplying/Dividing Terms

100

2 x a x 4 x b

8ab

200

2 x a x c x a

2a²c

300

3 x 12 x 2 x d x h

72dh

400

a⁵ / a³

a²

500

a⁵b³/b⁵

a⁵/b²

Substitution

100

a - 10 when a=21

11

200

5a-12 when a = 3

3

300

5a - 2b + 3 when a = 4 and b= 7

9

400

a + bc when a = 10, b = 9 and c=3

37

500

ad + 2 - bc when a = 12, d = 5, b = 11, c = 2

40