Chapter 4.1
Algebraic Notation & Conventions
Master algebraic language and simplification of expressions.
Chapters22
Expressions, equations, graphs, sequences, inequalities.
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Chapter 4.2
Expanding Brackets (Single & Double)
Master expansion and FOIL method for polynomial products.
Chapter 4.3
Expanding Triple Brackets
Expand three brackets systematically for higher tier.
Chapter 4.4
Factorising Quadratics
Find factors of quadratic expressions efficiently.
Chapter 4.5
Factorising Difference of Two Squares
Use a²-b² pattern for rapid factorisation.
Chapter 4.6
Factorising Expressions by Grouping
Master grouping methods for complex factorisation.
Chapter 4.7
Linear Equations (Multi-Step)
Solve complex linear equations using inverse operations.
Chapter 4.8
Equations with Fractions
Clear denominators and solve efficiently.
Chapter 4.9
Quadratic Equations (Factorising Method)
Solve quadratics using factorisation.
Chapter 4.10
Quadratic Equations (Formula Method)
Apply the quadratic formula with discriminant analysis.
Chapter 4.11
Completing the Square
Rewrite quadratics in vertex form for solving and graphing.
Chapter 4.12
Simultaneous Equations (Elimination)
Solve systems using elimination method.
Chapter 4.13
Simultaneous Equations (Substitution)
Solve systems using substitution method.
Chapter 4.14
Inequalities (Linear)
Solve linear inequalities with graphical representation.
Chapter 4.15
Inequalities (Quadratic)
Solve quadratic inequalities using graphs.
Chapter 4.16
Straight Line Graphs (y = mx + c)
Plot and interpret linear graphs with slope and intercept.
Chapter 4.17
Gradient and Equations of Lines
Find equations of lines and calculate gradients.
Chapter 4.18
Parallel and Perpendicular Lines
Master gradient conditions for parallel and perpendicular lines.
Chapter 4.19
Quadratic Graphs (y = ax² + bx + c)
Plot and interpret parabolas with key features.
Chapter 4.20
Cubic and Reciprocal Graphs
Sketch cubic and reciprocal function graphs.
Chapter 4.21
Algebra Problem-Solving (Multi-Step)
Tackle complex multi-step problems combining all algebra skills.
Chapter 4.22
Algebra Past Paper Practice
Comprehensive practice with real past paper questions and solutions.
Next steps
Review Section 4 if needed for algebra foundations, or progress to Section 5 for sequences and functions.