Equations and expressions with fractions
Simplify this fraction:
6/8
3/4
Solve this:
5y=3y-2
2y=-2
y=-1
Expand this:
3(y+8)
=3xxy+3xx8
=3y+24
Factorise this:
2y+4
=2(y+2)
Solve this:
2x+1=3
2x=2
x=1
Which animals are featured on the Australian coat of arms?
Kangaroo and Emu.
Simplify this:
(3x)/(9x^3)
=(3x)/(3x xx 3x^2)
=1/(3x^2)
Solve this:
4x+11=1-x
5x+11=1
5x=-10
x=-2
Expand this:
8(x-4)
=8xxx-8xx4
=8x-32
Factorise this:
6f+9
=3(2f+3)
Solve this:
9u-6=30
9u=36
u=4
Which Australian animal is shown on a 5c coin?
Solve this:
(3x)/(9) = 4
3x = 36
x=12
Solve this:
e+8=-28-3e
4e+8=-28
4e=-36
e=-9
Expand this:
2d(v+m)
=2d xx v+2d xx m
=2dv+2dm
Factorise this:
11h+121
=11(h+11)
Solve this:
(x-3)/4=5
x-3=20
x=17
Which animal is well known for its strangle cube shaped poo?
The wombat.
Solve this:
(m+4)/3=4
m+4=12
m=8
Solve this:
1-4a=7-6a
1=7-2a
-6=-2a
-6 -: -2 = a
3=a
Expand and then collect like terms:
8(2+5x)+4x
=8 xx 2 + 8 xx 5x + 4x
=16+40x+4x
=16+44x
Factorise this by finding the highest negative factor:
-2m-6
=-2(m+3)
Solve this:
34=4-5j
30=-5j
-6=j
What is the name of the famous Australian biscuit created for WW1 troops as its ingredients did not easily spoil?
ANZAC biscuit
Solve this:
7+(5x)/9=12
(5x)/9=5
5x=45
x=9
Solve this:
(x+3)/4=(x-1)/2
x+3=2xx(x-1)
x+3=2x-2
3=x-2
5=x
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
Factorise this by finding the highest negative factor:
-12x^2 -50xy
=-2x(6x+25y)
Solve this, giving your answer as a fraction:
12-2y=15
-2y=3
y=(-2)/3
The Lamington is considered Australia’s national cake, in which state of Australia was it first served?
Queensland.