2. Expanding

3. Factorising

4. Solving

-------------------------------

Algebra is often regarded by both students and teachers as a tough topic to learn or teach. I think the important thing (and from experience) is to know the general outline forehand makes it easier. Regardless, of primary (Yr 5, 6, 8) or secondary (Yr 9, 10, 11, 12), the layout is similar. Here, you will see sample questions (and solutions) I used in tuition groups at both primary and secondary levels to introduce Algebra. Questions adapted from UK GCSE maths exam papers, 2010 - 2012.

**1. Substitution**

a. Write
down the value of

The answer is 0 (but, many students will write 20)*abc*when*a = 10, b = 2*and*c = 0**……………..1 mark*

Maths knowledge: any number multiply by 0 is 0

b. Work out
the value of 1/2x - 3y
when x= 10 and y= 2

*2 marks*

c. Find the
value of 3x + 2y when x = 4 and y = 5

*2 marks*

**2. Expanding Brackets**(note that expanding and factorising are opposites)

Expand the following expressions

a. 3(2y – 5)
=

*……………..1 mark*
b. 4(2m +
3n) =

8m + 12n *……………..1 mark*
c. x(x – 10)
=

*……………..1 mark***3. Factorising**

Factorise
the following expressions (note that expanding and factorising are opposites)

a. 2a + 10
=

Highest Common Factor (HCF) of 2a and 10 is 2*……………..1 mark*2(a + 10)

b. 4 + 6x
=

HCF = 2*……………..1 mark*2(2 + 3x)

c. 3x –
9=

3 (x - 3) *……………..1 mark*
d. 2x^2
+ 4x

*2 marks*

**4. Solving equation**

Solve the
following equations to find the value of

*x*
a. 4x =
20

x = 5 *……………..1 mark*
b. 3x - 7 =
8

*……………..1 mark*
c. 8(x + 12)
= 100

*2 marks*

Solve the
following to find the value of

*y*
a.
y/3 = 9

*……………..1 mark*
b.
2y/5 = 4

2y = 20.......... ( 20 = 5 x 4)*……………..1 mark*y = 10

c.
2y + 3 / 2 = 5

*2 marks*

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