Adding and Subtracting
Multiplying and Dividing
Expanding Brackets
Factorising Expressions
Substitution and Equivalence
100
2a+3a
5a
100
3a*5
15a
100
Expand
2(x+3)
2x+6
100
Factorise:
10p-8
2(5p-4)
100
Substitute x=4 into the following expression and solve.
x+5
9
200
4a+6b+a
5a+6b
200
(24a^2)/(6a)
4a
200
Expand
4(2x+8)
8x+32
200
Factorise:
14x+10ax
2x(7+5a)
200
Let x=-3 . Solve:
5a+4
-11
300
4ab-7c+2c-2ba
2ab-5c
300
(2x^2*8x)/(4)
4x^3
300
Expand
2x(6a-7x)
12ax-14x^2
300
Factorise:
16x^2-20ax
4x(4x-5a)
300
Let a=6, b=-2 . Solve:
4ab-2b
-48+4
-44
400
Mia has x stickers in her collection. Her friend gives her 5 more, but then she gives away 2 to her brother. Write a simplified expression for how many stickers Mia has now.
x+3
400
A rectangular garden bed with a width of 3x metres and a length of 4x metres. Write a simplified expression for the area of a garden bed.
12x^2
400
A builder charges $4 per 'm' metre of fencing installed with a $10 call out fee for 'n' segments. Express this using brackets.
n(4m+10)
400
A teacher is arranging 6x+12 chairs into equal rows for an assembly. How many equal rows of chairs are possible
6(x+2)
6
400
A recipe uses the formula c=15n+8 to estimate the total cost of making 'n' batches of cookies. How much would it cost to make 6 batches?
$98
500
A school canteen earns $ 3x+2y on Monday and $ 5x-y on Tuesday. If they have an operating cost of $ 2x+3y over the two days, write a simplified expression for the canteen's profit.
6x-2y
500
(6x^2*5ax^3)/(3b*15a^2x^4)
(2x)/(3ab)
500
A swimming pool is being tiled around its border. The pool is (x+3) metres long and the tiler charges $5 per meter. A separate cleaning fee of $2(x-1) also applies. Write an expression to represent the total cost and then expand and simplify.
5(x+3)+2(x-1)
5x+15+2x-2
7x+13
500
Write down the perimeter of the shape in factorised form.
2(x+2)+10
500
A phone plan charges a monthly fee using c=12h+15 , where 'h' is the number of gigabytes of data used. How many gigabytes would a customer have used if their fee was $75 for the month?
75=12h+15
60=12h
h=4