Equations and expressions with fractions
Pronumerals on both sides
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Factorise
Solving equations
Australian trivia
100

Simplify this fraction:

6/8


3/4

100

Solve this:

5y=3y-2

2y=-2

y=-1

100

Expand this:

3(y+8)

=3xxy+3xx8

=3y+24

100

Factorise this:

2y+4

=2(y+2)

100

Solve this:

2x+1=3

2x=2

x=1

100

Which animals are featured on the Australian coat of arms?

Kangaroo and Emu.

200

Simplify this:

(3x)/(9x^3)

=(3x)/(3x xx 3x^2)

=1/(3x^2)


200

Solve this:

4x+11=1-x

5x+11=1

5x=-10

x=-2

200

Expand this:

8(x-4)

=8xxx-8xx4

=8x-32

200

Factorise this:

6f+9

=3(2f+3)

200

Solve this:

9u-6=30

9u=36

u=4

200

Which Australian animal is shown on a 5c coin?

The echidna
300

Solve this:

(3x)/(9) = 4

3x = 36

x=12

300

Solve this:

e+8=-28-3e

4e+8=-28

4e=-36

e=-9

300

Expand this:

2d(v+m)

=2d xx v+2d xx m

=2dv+2dm

300

Factorise this:

11h+121

=11(h+11)

300

Solve this:

(x-3)/4=5

x-3=20

x=17

300

Which animal is well known for its strangle cube shaped poo?

The wombat.

400

Solve this:

(m+4)/3=4


m+4=12

m=8

400

Solve this:

1-4a=7-6a

1=7-2a

-6=-2a

-6 -: -2 = a

3=a

400

Expand and then collect like terms:

8(2+5x)+4x

=8 xx 2 + 8 xx 5x + 4x

=16+40x+4x

=16+44x

400

Factorise this by finding the highest negative factor:

-2m-6

=-2(m+3)

400

Solve this:

34=4-5j

30=-5j

-6=j

400

What is the name of the famous Australian biscuit created for WW1 troops as its ingredients did not easily spoil?

ANZAC biscuit

500

Solve this:

7+(5x)/9=12

(5x)/9=5

5x=45

x=9

500

Solve this:

(x+3)/4=(x-1)/2

x+3=2xx(x-1)

x+3=2x-2

3=x-2

5=x

500

Expand and then collect like terms:

10(4+8f)+7(5f-3)

=[10 xx 4+10 xx 8f]+[7 xx 5f - 7 xx 3]

=40+80f+35f-21

=115f+19

500

Factorise this by finding the highest negative factor:

-12x^2 -50xy

=-2x(6x+25y)

500

Solve this, giving your answer as a fraction:

12-2y=15

-2y=3

y=(-2)/3

500

The Lamington is considered Australia’s national cake, in which state of Australia was it first served?

Queensland.