T3 Consolidation

Index Laws

100

y³× y² 

y⁵

200

(f⁴⁾⁵

f²⁰

300

m⁴×m³÷m²

m⁵

400

h⁶÷ h⁶ 

1

500

(d⁴w²)³÷ d⁵w³

d⁵w³

Expanding

100

3(x+4)

3x+12

200

5(x−2)

5x-10

300

2x(3x+5)

6x²+10x

400

4(2x−3)+5

8x-7

500

3(2x−5)−2(x+4)

4x-23

Factorising

100

6x+12

6(x+2)

200

8x+20

4(2x+5)

300

12x−18

6(2x-3)

400

15x²+25x

5x(3x+5)

500

18x−30+6x

6(3x-5+x)

Solving Equations

100

x+7=15

x=8

200

3x=21

x = 7

300

2x+5=17

x = 6

400

5x−7 = 2x+8

x = 5

500

3(x+2)=2x+14

x = 8

Integers

100

−5+8

3

200

−13−6

-19

300

(-4) x (6)

-24

400

(6+5) x 9 

99

500

(2³+7-18) ÷ -2 x -3

-4.5