Index Laws
Simplifying
Expanding/Factorising
Solving
Kate
100

Simplify x0

1
100

Simplify b + b + b + b

4b

100

True or False? 5x + 25 can be factorised into 5(x + 5)

True
100

True or False? In the equation x+5=9, x=3

False, x=4
100

What colour was my hair at the start at the year?

Blonde

200

a8 ÷ a6 = ais an example of which Index Law? Try and describe it. 

Index Law 2. When dividing the same base number, you subtract the powers. 

200

Simplify 4y - 3y + y

2y

200

Name 2 common factors of 12 and 18x

1, 2, 3, 6

200

Solve 2(x -1) = 16

2x - 2 = 16

2x = 18

x = 9

200

What was my favourite subject at school?

Maths

300

Expand then simplify (53)2 using index laws. 

5 x 5 x 5 x 5 x 5 x 5 = 56

300

Can the following expression be simplified? 3xy + 8 - xy

Yes. 2xy + 8

300

Simplifying x2 - 4x to x(x - 4) is an example of what? 

Factorising 

300

Solve for x. 3x-4=2

3x=6

x=2

300

Where was I born?

Sydney

400

Simplify x÷ x8

1
400

Simplify 2a3 x 3ab

6a4b

400

Expand then simplify 4(x2 + 6) + 4x2

4x+ 24 + 4x

8x+24

400

Explain the steps to solve the equation 4x - 6 + 3x = 50

1. Add like terms 7x - 6 = 50

2. Add 6 to both sides of the equation 7x = 56

3. Divide by 7 on both sides x = 8


400

What am I afraid of?

Birds and heights

500

Explain why x0 = 1 in your own words

Using an example x÷ x= x= 1 because 6-6=0 and therefore you are left with x to the power of zero but when dividing by the same number it always equals one. 

500

Simplify 7x- y + x2 + 3z

8x2 - y + 3z

500

How would you factorise 2x - 10 + 18 = 

2(x - 5 + 9) = 

500

Solve 3x - 7 = 2x + 5

3x - 2x - 7 = 2x - 2x + 5

x - 7 = 5

x - 7 + 7 = 5 + 7

x = 12

500

Who do I support in the NRL?

Manly Sea Eagles

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