What this topic covers
Algebra has 4 subtopics:
- Notation, vocabulary and manipulation
- Graphs
- Solving equations and inequalities
- Sequences
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GCSE AQA Foundation Maths · Topic 2 of 6
Algebra – GCSE AQA Foundation Maths revision notes
Choose a subtopic. Algebra covers Notation, vocabulary and manipulation, Graphs, Solving equations and inequalities, and Sequences in GCSE AQA Foundation Maths. 24 lessons in 4 subtopics.
Revise Algebra for GCSE AQA Foundation Maths, including Notation, vocabulary and manipulation, Graphs, Solving equations and inequalities, and Sequences.
24
Lessons
4
Subtopics
Algebra lessons by subtopic
24 lessons, grouped by subtopic.
Notation, vocabulary and manipulation
- Substituting Values into Formulae and Expressions
- Understanding Algebraic Language
- Expanding and Factorising Expressions
- Collecting Like Terms and Basic Algebraic Operations
- Substituting into and Interpreting Formulae
- Changing the Subject of a Formula
- Using Equations and Identities: Distinguish between equations and identities and decide how each should be used in basic algebra.
- Interpreting Simple Functions: Use function machines and notation to substitute values and interpret outputs clearly.
Graphs
- Working with Coordinates in All Four Quadrants
- Plotting Straight-Line Graphs: Complete tables of values and plot linear graphs accurately on coordinate axes.
- Gradients and Intercepts of Linear Functions
- Quadratic Graphs - Roots and Intercepts
- Recognising Linear and Quadratic Graphs: Recognise the shape of linear and quadratic graphs and match equations to their graphs.
- Interpreting Real-World Graphs: Read real-world linear and curved graphs and explain what features mean in context.
Solving equations and inequalities
- Solving Linear Equations Algebraically
- Finding Approximate Solutions Using Graphs
- Solving Quadratic Equations by Factorising
- Solving simultaneous equations algebraically
- Creating Algebraic Expressions from Situations
- Solving Equations from Real Problems
- Solving Linear Inequalities
Sequences
- Generating Sequence Terms
- Special Number Sequences and Arithmetic Progressions: Recognise square, cube and triangular numbers and work with simple arithmetic progressions.
- Finding the nth Term of Linear Sequences
More in this course
Go back to the full GCSE AQA Foundation Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
What is Algebra?
Algebra covers Notation, vocabulary and manipulation, Graphs, Solving equations and inequalities, and Sequences in GCSE AQA Foundation Maths. 24 lessons in 4 subtopics.
How do you substitute into the area of a trapezium formula?
The area of a trapezium is A = 1/2(a + b)h, where a and b are the parallel sides and h is the perpendicular height. The Substituting into and Interpreting Formulae notes cover this in full.
How do you expand and simplify brackets?
To expand and simplify, expand each bracket, write out all the terms, then collect like terms. The Collecting Like Terms and Basic Algebraic Operations notes cover this in full.
What is an expression in maths?
An expression is a mathematical phrase made up of one or more terms connected by operations such as +, -, × and ÷. The Understanding Algebraic Language notes cover this in full.
How do you expand triple brackets?
To expand three brackets, expand two first, then multiply the result by the third. The Expanding and Factorising Expressions notes cover this in full.
What is an inequality in maths?
An inequality compares two expressions using a symbol such as ≤, ≥, greater than or less than, so its solution is a set of values rather than a single number. The Understanding Algebraic Language notes cover this in full.
How do you expand a single bracket?
To expand a single bracket, multiply the outside term by every term inside the bracket, not just the first one. The Collecting Like Terms and Basic Algebraic Operations notes cover this in full.
How do you find the y-intercept?
The y-intercept is where the line crosses the y-axis, so read off the y-value when x = 0. The Gradients and Intercepts of Linear Functions notes cover this in full.
What is an equation in maths?
An equation is a mathematical statement that two expressions are equal, written with an = sign. The Understanding Algebraic Language notes cover this in full.