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IGCSE Edexcel Higher Maths · Topic 4 of 12

Topic 2: Equations, Formulae and Identities – IGCSE Edexcel Higher Maths revision notes

Choose a subtopic. IGCSE Mathematics A Topic 2: Equations, Formulae and Identities. 27 lessons in 5 subtopics.

Revise Topic 2: Equations, Formulae and Identities for IGCSE Edexcel Higher Maths, including Use of Symbols and Algebraic Manipulation.

27

Lessons

5

Subtopics

What this topic covers

Topic 2: Equations, Formulae and Identities has 5 subtopics:

  • Use of Symbols and Algebraic Manipulation
  • Formulae, Rearranging and Identities
  • Linear, Quadratic and Simultaneous Equations
  • Inequalities and Algebra from Context
  • Direct and Inverse Proportion Models

Topic 2: Equations, Formulae and Identities lessons by subtopic

27 lessons, grouped by subtopic.

Use of Symbols and Algebraic Manipulation

Formulae, Rearranging and Identities

Linear, Quadratic and Simultaneous Equations

Inequalities and Algebra from Context

Direct and Inverse Proportion Models

Frequently asked questions

What is Topic 2: Equations, Formulae and Identities?

IGCSE Mathematics A Topic 2: Equations, Formulae and Identities. 27 lessons in 5 subtopics.

How do you use the quadratic formula?

The quadratic formula, x = (-b ± √(b² - 4ac)) ÷ 2a, solves any quadratic in the form ax² + bx + c = 0. The Completing the Square and the Quadratic Formula notes cover this in full.

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.

What does the proportional to symbol mean?

The symbol ∝ means is proportional to, so y ∝ x means y = kx, where k is a non-zero constant. The Solving Direct and Inverse Proportion Problems 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.

What is a set in maths?

A set is a collection of objects or values grouped together. The Set Language, Subsets and Venn Diagrams notes cover this in full.

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