Test 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^{a X b}

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

200

Expand 4 ( 4 + a)

4X4 + 4a

or

16 + 4a

300

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

8a + 2ab

400

a test question was simplify 10(a+2) and a student answered 10a + 2a. why isnt this correct?

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

100

What does F.O.I.L stand for?

First
Outers
Inners
Last

200

Use FOIL to expand the brackets ( a + b ) ( c + d )

ac + ad + bc + bd

300

Use FOIL to expand ( x + 4) ( x + 2)

x² + 2x + 4x + 8

or 

x² + 6x + 8

400

Use FOIL 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

Use FOIL to 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 Mr. Winzil's favourite food?

Burgers

300

What is the 3rd planet from the sun

Earth

400

How do you spell our deputy principal's last name

Papageorgiou

500

How many subjects am I teaching this term?

4
- Year 9 maths
- Year 10 maths
- Year 11 physics
- Year 12 specialist maths