Chapter 4.1
Algebraic notation & vocabulary
Break down the language and symbols used throughout algebra.
Chapters
15
Notation, substitution, factorising & more.
Time invested
11.25 hrs
Approximate guided learning.
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Chapter 4.2
Simplifying by collecting like terms
Combine matching variables to streamline expressions.
Chapter 4.3
Expanding single brackets
Multiply out expressions efficiently using distributive reasoning.
Chapter 4.4
Expanding & simplifying
Expand brackets then collect like terms to tidy the result.
Chapter 4.5
Factorising simple expressions
Reverse expanding by taking out the highest common factor.
Chapter 4.6
Substitution into expressions
Evaluate expressions accurately by substituting values.
Chapter 4.7
Substitution into formulae
Work with area, volume, and physics-style formulae confidently.
Chapter 4.8
Writing expressions from word problems
Translate scenarios into algebraic structures.
Chapter 4.9
Multiplying algebraic terms
Scale coefficients and indices correctly while multiplying.
Chapter 4.10
Dividing algebraic terms
Simplify expressions by cancelling coefficients and powers.
Chapter 4.11
Expanding double brackets (FOIL)
Multiply binomials using FOIL and area models.
Chapter 4.12
Factorising quadratics (a = 1)
Break trinomials into two brackets with sum/product reasoning.
Chapter 4.13
Simplifying algebraic fractions
Cancel factors to simplify fractional expressions.
Chapter 4.14
Adding & subtracting algebraic fractions
Use common denominators to combine algebraic fractions.
Chapter 4.15
Deriving & using formulae
Form, rearrange, and apply formulae across subjects.
Next steps
Ready for the next challenge? Loop back to deepen Ratio & Proportion or continue into Section 5 for equation solving.