Friday 11th June

Simplifying

100

a³ x a²

a⁵

200

ab x 2ab²

a²b³

300

3ab⁴ x 2ab²

6a²b⁶

400

(3a⁴b)²

9a⁸b²

500

(-3a^-3)²

9a^-6

Expanding

100

2(a+2)

2a+4

200

a(a+b)

a²+ab

300

-3a(3a-2)

-9a²+6a

400

3a(2+a-4b)

6a+3a²-12ab

500

2a(2a+b) +a²(b-9)

-5a²+2ab+a²b

Factorising

100

Highest common factor of 6a & 12a

6a

200

Factorise 3a²+9

3(a²+3)

300

Factorise 3ab+4b

b(3a+4)

400

Factorise a⁶+a³

a³(a³+1)

500

Factorise 16a²b³+24a²b⁶c

8a²b³(2+3b³c)

Linear Equations

100

a-4=6

a=10

200

a/4=32

a=8

300

2a-5=9

a=7

400

3a+1=2a+2

a=1

500

6a + 3 = 2a - 5

a = -2

Linear Equations 2

100

3a = 21

a = 7

200

3a - 4 = 5

a = 3

300

24 = 4 + 4a

a = 5

400

5a + 1 = a +2

a = 1/4 or 0.25

500

3a+ 4 = 40 - 3a

a = 6