Revision Year 9 Semester 1

Distributive Law

100

2(x + 6) = 20

4

200

8 ( x - 5) = 64

13

300

5x (6y - 7z) 

30xy - 35 xz

400

-3 (3x + 6) = 27

-5

500

4 (x -4) + 5

4x - 11

Solving linear equations

100

x + 6 = 32

26

200

x - 8 = 17

25

300

2x + 8 = 40

16

400

-x + 4 = -2

6

500

2(x + 3) = 4 (x + 7)

-11

Index Laws

100

m³ x m⁶

m⁹

200

g12 ÷ g4                        

g8

300

(2a)³

8a³

400

(6a)⁰

1

500

(3a²b⁵)³

27a⁶b¹⁵

Like Terms

100

4x + 12x

16x

200

18a - 3a

15a

300

10a + 5a - 4a

11a

400

16x + 4x -7y + 5y

20x - 2y

500

20x + 4y -6x -2y

14x + 2y

Probability

100

What is the probability of rolling a 4 on a standard dice?

1/6

200

What is the probability of choosing a Queen from a deck of cards?

4/52 = 1/13

300

If I have a bag of marbles containing 4 blue, 3 red, 5 yellow, 6 green and 2 black marbles, what is the probability of choosing a black marble?

2/20 = 1/10

400

What is the probability of rolling a 3 and an even number on a standard dice?

1/6 + 3/6 = 4/6 =2/3

500

Year 9 students were surveyed about their favourite sports.  5 students preferred basketball only, 4 students preferred cricket only, 3 students preferred both and 6 students preferred none of those.  How many students were surveyed?

18