1. Algebra Methods

2. Note 1: Algebraic Expressions
In algebra:
a variable (letter) is used to stand for a number
write letters in alphabetical order
eg. pqr
write numbers before letters eg. 2p

3. Examples: Write down as an algebraic expression
Eight more than six times x
6x + 8
Four less than twice x
2x - 4

4. Note 2: Simplifying like terms
Like terms can be added or subtracted, if they are the same term and of the same power.
The sign (+ or -) belongs to the number or variable after it.
Examples: Simplify
3a + a – 2a =
4b – 7b + 2b =
7c + 5d – 9c + 2d =
5ef + 6fg – 8fe + 7hg = 2a -b
-2c + 7d
-3ef + 6fg + 7gh

5. When we add and subtract like terms with powers, we do not change the powers.
Examples: Simplify
k3 – k2 + 3k + 4k3 – 6k2 =
5k3 – 7k2 + 3k

6. Note 3: Multiplying and Dividing Terms
All numbers and variables can be combined when multiplying.
NB. A dot means multiplying.
Examples: Simplify
-3a . 4b =
-2c . 4e . -5d =
-12ab
40cde

7. When dividing, cancel fractions by pairing numbers and letters.
Examples: Simplify

8. Note 4: BEDMAS
Remember to follow BEDMAS rules when simplifying expressions.
Examples: Simplify
y – y . y =
2x . 3z + 4z =
y – y2
6xz + 4z

9. Page
Exercise A - C