1. ALGEBRA
what you need to know.

2. Algebraic Manipulation.

3. When multiplying indices with brackets multiply powers
1.The Laws of Indices
a²x a³= a²+³= a
When multiplying indices you add the powers
a³÷ a² = a³- a² = a
When dividing indices you subtract the powers
(a²) ³ = a ²x³ = a
When multiplying indices with brackets multiply powers

4. 2. Collecting Like Terms Simplify 3x + 4y + 2x – 5y
How many x’s and how many y’s have we got
We have 3x + 2x = 5x and + 4y – 5y = - y
So the answer is 5x - y

5. 3. Multiplying Out Brackets
3 x a + 3 x 1 =
3a + 3
You need to multiply what is inside the bracket by what is outside.
2 x ( x + y ) =
2 x ²+ 2 x y
( a + b ) ( c + d ) =
a c + a d + b c + b d

6. Using letter symbols a + a + a is written as 3a a x b is written as ab
There are several rules to follow, when writing expressions
a + a + a is written as 3a
a x b is written as ab
a x 3 x b is written as
3ab
b x b is written as
this is not the same as 2b b²
n x n x 3 is written as
3n²
a x ( b + c ) is written as
a ( b + c )
( a + b ) ÷ c is written as