This page contains resources to learn certain core algebra skills. You may or may not have encountered these skills in the past, so this might be revision or new learning for you. The important thing is that you are confident with these skills.
The variables (letters) in an equation represent an unknown number. When we know new information about a variable, we can substitute (replace) the variable with that new bit of information. That information can be a number or another expression.
Substituting Numbers - FuseSchool
Transum - Lots of practice questions
Just like how you might turn an object around in your hand to take a better look at it, we can more easily solve equations if we rearrange them the right way around. To do this, we need to learn a few rules for rearranging equations.
Rearranging Equations - Atomi
Rearranging Equations - FuseSchool
Order of Operations (BEDMAS) - Let's Do Math
Transum - Lots of practice questions
A big reason to do maths is to solve problems. We do this by solving equations. Rearrange the equation and substitute any given information to set up the equation to be solved.
Solving one-step equations - Math with Mr. J
Solving two-step equations - Math with Mr. J
Solving equations with variables on both sides - Brian McLogan
SolveMe Mobiles - Online game on Solving Equations
Brackets are a way to group certain expression together and frequently show up in mathematical problems. Learning to expand brackets is a useful skill in solving many problems.
Gamma Textbook
Single Bracket: Pg 97 Ex 8.01
Double Brackets: Pg 99-100 Ex 8.02 - 8.04
In contrast to expanding brackets, other mathematical problems require you to pack your equations back into brackets. We call this Factorising.
Factorising (single bracket) - FuseSchool
Factorising Quadratics (Double Brackets) - FuseSchool
Gamma Textbook
Factorising Single Bracket: Pg 102-103 Ex 8.06
Factorising Quadratics: Pg 104-107 Ex 8.07-8.10