Introduction to Algebra and Algebraic Expressions

What the page covers

The resources here start with the basics and build up. You will find notes and quizzes on variables, like terms, substitution and writing formulae. Further in, there are maps and decks on expanding brackets, factorising, indices, radicals, special products and algebraic fractions.

The Algebraic fractions mind map explains that you simplify by cancelling common terms on the top and bottom, factorising first where needed. The inequalities map reminds you to flip the sign when multiplying or dividing by a negative number.

Where to start

If algebra is new, begin with the mind map called Algebra or Basic Algebra, then try the quiz Variables, Expressions, & Like Terms. Next, move to expanding brackets and factorising.

1. Expand and simplify: the Expanding brackets mind map, then a quiz on distribution and like terms.
2. Factorise: the Factorisation map sets out steps, starting with a check for common factors and then counting the terms.
3. Solve: try Solving Simultaneous Equations and Linear Inequalities.
4. Go further: quadratics, powers and roots, and rational and exponential functions.

Using quizzes and maps together

Read a map first to see the whole method on one screen. Then take a quiz without looking. The A-level Maths: Algebra Quiz includes function notation, quadratics and a cubic to factorise. Any question you miss tells you which map to open again.

Flashcards suit the vocabulary and formulae. The GCSE Maths Symbols, Equations & Formulae deck is a handy one to run through before a test.

Exams and levels

Most resources are secondary level. Listed resources mention GCSE Maths, A-level Maths, SAT, ACT, CBSE, IB, EQAO and SOL Algebra 1, so you can choose material close to your own course.

Where it sits

This unit belongs to the Algebra strand of Mathematics. Teachers can pick a map or quiz to set as ready-made work, and students can choose one topic and start there today.