Year 9 Term 1 Revision

Index Laws

100

What is the multiplication law

x^a X x^b = x^a+b

200

What is the division law

x^a / x^b = x^a-b

300

How would you simplify (x^a)^b

This is the power of a power law. It simplifies to
x^ab

400

What is anything raised to the power of 0 (a⁰)

1

500

How would you write 1 / a^b as an index?

a^-b

index law examples

100

2a² X 3a³

6a⁵

200

8b⁷ / 2b³

4b⁴

300

a⁵ / a⁵

1

400

5a³b X 4ab³

20a⁴b⁴

500

(3d² X e⁴) / (de⁴)

3d

Distributive Law

100

What is the distributive Law?

a (b + c) = ab + ac

or (a+b)(c+d)=ac+ad+bc+bd

200

Expand 4 ( 4 + a)

4X4 + 4a

or

16 + 4a

300

Use the distributive law to calculate 2a(4+b)

8a + 2ab

400

a test question was simplify 10(a+2) and a student answered 10a + 2a. why isn't this correct? and what's the correct answer?

They distributed the wrong term. The correct answer is 10a + 20

500

Use the distributive law to expand 3(x + 3t + 7)

3x + 9t + 21

Binomial Distribution& Scientific notation

100

Expand the brackets (a+b)(c+d)

ac + ad + bc + bd

200

Expand ( x + 4) ( x + 2)

x² + 2x + 4x + 8

or 

x² + 6x + 8

300

Write down the following using scientific notation

0.00000000073

7.3x10^-10

400

Use distributive law to calculate 15 X 17

(10 + 5) (10 + 7)
10 X 10 + 10 X 7 + 5 X 10 + 5 X 7
100 + 70 + 50 + 35
255

500

Expand and Simplify (2x + 3)(6x + 2)

12x² + 22x +6

Bonus

100

The person who knows the most digits of pi gets a bonus 100 points

3.1415926535 8979323846

200

What is Ms. Sun's favourite colour?

Blue

300

What is the 3rd planet from the sun

Earth

400

How do you spell our deputy principal's last name

Pietrukowski

500

How many classes am I teaching this term?

3
- Year 6 Mandarin
- Year 7 Mandarin
- Year 9 Maths