Number and Algebra - Year 8

Expanding Brackets

100

4(a + 3)

4a + 12

200

5(2a + 3)

10a + 15

300

-2(a + 3)

-2a - 6

400

-3(2a - 8)

-6a + 24

500

-6a(b + 4)

-6ab - 24a

Solving Equations

100

a + 5 = 9

a = 4

200

2a = 20

a = 10

300

2a + 6 = 10

a = 2

400

(a + 3)/5 = 10

a = 47

500

4a - 5 = -25

a = -5

Factorising

100

4a + 16

4(a + 4)

200

5b - 20

5(b - 4)

300

-5d - 45

-5(d + 9)

400

4ab + 18abc

2ab (2 + 9c)

500

12xy - 36yz

12y(x - 3z)

Collecting Like Terms

100

2a + 4a

6a

200

2ab + 6a

2ab + 6a

300

8abc - 4a + 2abc

10abc - 4a

400

4x + 6a - 3x + 2a

1x + 8a

500

-4a - 5 - 8a + 3

-12a - 2

Index Laws

100

a⁴ + a³

a⁷

200

t⁵ / t⁴​​​​

t¹

300

3a⁰

3

400

15a² x a⁶

15a⁸

500

8a⁰b⁵ x b²

8b⁷