The document introduces basic algebraic expressions and simplifying terms. It explains that terms with the same variable are combined by adding the coefficients. Expressions should be written with variables in alphabetical order and numbers written without variables are simply added. Sample problems are provided to practice simplifying algebraic expressions and equations with variables representing unknown values.

1. Basic Algebra
 By Jayden
We are going to first learn about basic algebraic expressions.
So, lets start from the basics.
2a = 2 x a
3a = 3 x a
4a = 4 x a
But we can’t work that out without finding out what a is equal to.
So lets throw a ‘for instance’ out there:
a=3
Meaning
2a = 6
3a = 9

2. Basic Algebra
 By Jayden
In Algebra, you would always write terms in their simplest form.
So let’s work out how to simplify a algebraic expression.
We will simplify 2a + 3a.
2a + 3a in it’s simplest form is 5a.
2+3=5
2a + 3a = 5a
The reason for this is because adding them together would equal that.
If there was two different terms, such as 5a + 5b…
…then it’s simplest form will be 5a + 5b.
But there’s another rule of Algebra that we need to take note of.
The terms should be written in alphabetical order.
5b + 5a
5a + 5b
A comes before B in the alphabet, so any A terms are written first.

3. Basic Algebra
 By Jayden
Write the following formulae in their simplest forms:
Q1: A + A + A + B + B + B
Q2: C + C + Z + Z
Q3: 3a + 5a
Q4: 3b + 5b + 3a + 5a
Now we’re going to expand on simplifying expressions.
What would happen if we added normal numbers in there?
Take A + A + A + 3
You would simplify it by writing this: 3a + 3
Take A + A + A + 3 + A
You would simplify it by writing this: 4a + 3, as the A’s come before the 3.
What would happen if it was just a normal sum?
Take 3 + 3 + 3
This is not an algebraic expression, so you’d just write the answer: 9.

4. Basic Algebra
 By Jayden
Write the following formulae in their simplest forms:
Q5: A + B + A
Q6: A + B + A + 3
Q7: 3 + 3 + 3 + 3
Q8: 2b + 3b – 4b
The eighth question is more complicated than the previous as it adds a subtract symbol in
the sum.
But, it’s pretty easy:
Imagine the question was written like this:
(2b + 3b) – 4b
So first, work out 2b + 3b – which is 5b. Change the question to this:
5b – 4b
See if you can work out the answer from it’s simplest form.

5. Basic Algebra
 By Jayden
Question 9:
If Dom’s age is A, and Sarah’s age is 10 (five
more than Dom’s), what is A?
Question 10:
If A equals 30, work out this sum:
A+A+A=