Year 8 Assessment Revision

Index Laws

100

Simplify x⁰

1

200

a⁸ ÷ a⁶ = a² is an example of which Index Law? Try and describe it. 

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

300

Expand then simplify (5³)² using index laws. 

5 x 5 x 5 x 5 x 5 x 5 = 5⁶

400

Simplify x⁸ ÷ x⁸

1

500

Explain why x⁰ = 1 in your own words

Using an example x⁶ ÷ x⁶ = x⁰ = 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. 

Simplifying

100

Simplify b + b + b + b

4b

200

Simplify 4y - 3y + y

2y

300

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

Yes. 2xy + 8

400

Simplify 2a³ x 3ab

6a⁴b

500

Simplify 7x² - y + x² + 3z

8x² - y + 3z

Expanding/Factorising

100

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

True

200

Name 2 common factors of 12 and 18x

1, 2, 3, 6

300

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

Factorising 

400

Expand then simplify 4(x² + 6) + 4x²

4x² + 24 + 4x² 

8x² +24

500

How would you factorise 2x - 10 + 18 = 

2(x - 5 + 9) = 

Solving

100

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

False, x=4

200

Solve 2(x -1) = 16

2x - 2 = 16

2x = 18

x = 9

300

Solve for x. 3x-4=2

3x=6

x=2

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

500

Solve 3x - 7 = 2x + 5

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

x - 7 = 5

x - 7 + 7 = 5 + 7

x = 12

Kate

100

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

Blonde

200

What was my favourite subject at school?

Maths

300

Where was I born?

Sydney

400

What am I afraid of?

Birds and heights

500

Who do I support in the NRL?

Manly Sea Eagles