Evaluating
Solving
Expanding
Factorising
Problem Solving
100
Evaluate the following when x = 2
y = 6x + 4
y = 6 x 2 + 4
y = 16
100
Solve the following (find the value of the pronumeral 'x')
5x + 7 = 22
5x = 22 - 7
5x = 15
x = 3
100
Expand the following
3 (x + 2)
= 3x + 6
100
Factorise the following by taking out the highest common factor
15c + 10
HCF = 5
5 (3c + 2)
100
Grace bought three new exercise books and two new folders for the start of term four.
Construct an expression for this using b for books and f for folders
3b + 2f
200
Evaluate the following when a = 3
Y = 3a - 4
y = 3 x 3 - 4
= 5
200
Solve the following (find the value of the pronumeral 'x')
4x + 12 = 32
4x = 32 - 12
4x = 20
x = 5
200
Expand the following
5 (x - 5)
= 5x - 25
200
Factorise the following by taking out the highest common factor
6z - 2
HCF = 2
2 (3z - 1)
200
James bought seven stickers and three tech decks at the year 10 business stall
a.Construct an expression for this using s for stickers and t for tech decks
b.If stickers cost $1 and tech decks cost $11 determine how much James spent
a. 7s + 3t
b. = 7 x 1 + 3 x 11
= $40
300
Evaluate the following when x = - 2
y = 4x + 18
y = 4 x -2 + 18
= 10
300
Solve the following (find the value of the pronumeral 'x')
4x + 5.2 = 28
4x = 28 - 5.2
4x = 22.8
x = 5.7
300
Expand and simplify the following
4 (x + 2) + 6x
= 4x + 8 + 6x
= 10x + 8
300
Factorise the following by taking out the highest common factor
21 - 7a
HCF = 7
7 (3 - a)
300
Matthew wants to hire a painter to paint a feature wall in his café. He has the following two options:
Company A charges a $60 service fee then an hourly fee of $25 per hour of the job.
Company B charges a $45 service fee then an hourly fee of $30 per hour of the job.
Complete a table of values to represent the cost of the first three hours of a job from each company
Hours 0 1 2 3
A 60 85 110 135
B 45 75 105 135
400
Evaluate the following if a = 2 and b = 3
y = 4a + 6b
y = 4 x 2 + 6 x 3
= 24
400
Solve the following (find the value of the pronumeral 'x')
3x + 6 = 9
______
2
3x + 6 = 9 x 2
3x + 6 = 18
3x = 18 - 6
3x = 12
x = 4
400
Expand and simplify the following
5 (x - 3) - 2x
= 5x - 15 - 2x
= 3x - 15
400
Factorise the following by taking out the highest common factor
40 - 10mn
HCF = 10
10 (4 - mn)
400
A parallelogram has a top length of 8x + 6 and a side length which is half that
a.Determine an expression for the side length
b.Determine the value of x that would produce a perimeter of 138m
c.Determine the top length and side length of the parallelogram
a. 4x + 3
b. x = 5
c. Top = 46m, side = 23m
500
If m is twice the size of n, simplify the following expression using only one pronumeral (n)
5m + 3n
m = 2n
= 5 x 2n + 3n
= 13n
500
Solve the following (find the value of the pronumeral 'x')
4x + 10 = 6
______
3
4x + 10 = 6 x 3
4x + 10 = 18
4x = 18 - 10
4x = 8
x = 2
500
Expand and simplify the following
3 (2x + 5) - 3x
= 6x + 15 - 3x
= 3x + 15
500
Factorise the following by taking out the highest common factor
24 - 9kl
HCF = 3
3 (8 - 3kl)
500
Construct a table of values to represent the following pattern and determine the linear equation that represent the patter
triangles 1 2 3 4
sticks 3 5 7 9
Equation: y = 2x + 1