Algebra
This chapter introduces the modulus function, its definition, and how to solve equations and inequalities involving it, both algebraically and…
What you'll learn
- Understand the meaning of the modulus function, sketch its graph, and use related properties to solve equations and inequalities.
- Divide a polynomial, of degree not exceeding 4, by a linear or quadratic polynomial, identifying the quotient and remainder.
- Use the factor theorem to determine if a linear expression is a factor of a polynomial.
- Apply the remainder theorem to find the remainder when a polynomial is divided by a linear expression.
- Factorise and solve cubic and quartic equations using algebraic division and the factor theorem.
- Solve modulus equations of the form |ax + b| = c and |ax + b| = |cx + d|.
- Solve modulus inequalities using algebraic methods or graphical interpretation.
- Sketch graphs of modulus functions of the form y = |ax + b| and y = |f(x)| where f(x) is linear.
Study tools for this chapter
Pick a format and jump in — all tools are syllabus-mapped to Algebra.
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Guided lesson slides
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Flashcards
31 spaced-repetition cards
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MCQs
113 multiple-choice questions
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Exam questions
81 questions with mark schemes
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Revision notes
Structured notes with exam techniques and definitions
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AI Tutor
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About Algebra on Nexelia Academy
Algebra is chapter 1 of Nexelia Academy's Cambridge A-Level Pure Mathematics 2 & 3 course. This chapter introduces the modulus function, its definition, and how to solve equations and inequalities involving it, both algebraically and…
This chapter is mapped to the official Cambridge International AS & A Level Pure Mathematics 2 & 3 syllabus and includes 113 multiple-choice questions, 81 structured exam questions with full mark schemes, 31 spaced-repetition flashcards, guided lesson slides and access to an AI tutor trained on the Cambridge specification.
Frequently asked questions about Algebra
How do I revise Algebra for Cambridge A-Level Pure Mathematics 2 & 3?
Work through the guided lesson slides first to build a mental model, then drill the 113 MCQs for quick recall, attempt the 81 exam questions with mark schemes for technique, and use flashcards for spaced repetition. The AI tutor is available throughout if you get stuck.
How many practice questions does Algebra include?
Algebra on Nexelia Academy includes 113 multiple-choice questions, 81 structured exam questions with full mark schemes, and 31 flashcards.
Is Algebra free?
Chapter 1 of Cambridge A-Level Pure Mathematics 2 & 3 — Algebra — is free for all registered users. Pro and Max plans unlock every chapter with unlimited practice.
Does Nexelia Academy cover Algebra for Cambridge A-Level Pure Mathematics 2 & 3?
Yes. Algebra is fully mapped to the official Cambridge International AS & A Level Pure Mathematics 2 & 3 syllabus and is one of Nexelia Academy's published chapters for this course.