Nayland College Mathematics - 'More than just a school'  
 
 

 

 
 
 

Simplifying Algebra Expressions A

Algebra HOME | Achievement Objectives | Simplify | Expanding | Factorising | Indices | Rearrange | Logs | Fractions | Linear Equations | Inequations | Solving Quadratics equations | Quadratic Formula | Revision

2



Simplifying

Basic simplifying involving: indices, multiply terms, dividing terms, Brackets.

 

Class notes, Blank notes

Ex1.14, Ex1.15, Ex1.16

Theta pg 7 & 8

 

3



More Simplifying

Simplifying algebraic fractions, Multiply fractions, Dividing fractions, Fractions with powers

Class notes, Blank notes

Ex2.01, Ex2.02, Ex2.03, Ex2.04

Theta pg 9 & 10

 

Combine Like Terms 

Simplify by collecting 'like' terms together

Simplify x's

Simplify y's

Answer

 

Mouse over key words

Remember x2 and x are NOT 'like' terms

back to top

 

Multiplying

Multiplying terms combines the powers

Simplify

Why?

Mixed terms

Answer

 

Mouse over key words

Multiplying the numbers, ADD the powers.

 

Dividing

Dividing terms also combines the powers

Simplify

Why?

Mixed terms

Answer

 

Mouse over key words

Divide the numbers, SUBTRACT the powers.

 

back to top

Brackets

Removing the brackets involving powers.

Simplify

Why?

Mixed terms

Answer

Mouse over key words

 Multiplying the powers.

Summary:

back to top

 

 

Square Root

Divide the power by the root.

Simplify

Mixed terms

Answer

Cube root

Answer

Mouse over key words

 

Summary:

   

back to top

 

 


Combined Example

Simplify as much as possible.

Expand powers

Invert fraction

Multiply terms

Divide terms

Mouse over key words

 

Summary:

Expand brackets
Invert 2nd fraction & change to multiplying
 
 

 

back to top