Chapter 5.1
Linear equations (all types)
Solve linear equations with variables on both sides and brackets.
Chapters18
Linear, simultaneous, quadratic, formula rearrangement.
Time invested14 hrs
Approximate guided learning.
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Chapter 5.2
Equations with brackets
Expand brackets and solve resulting linear equations systematically.
Chapter 5.3
Equations with fractions
Clear denominators and solve equations with fractional terms.
Chapter 5.4
Rearranging formulae (simple)
Change the subject of formulae using inverse operations.
Chapter 5.5
Rearranging formulae (complex)
Master complex formula rearrangement involving multiple operations.
Chapter 5.6
Changing the subject (appears twice)
Handle situations where the subject appears twice in a formula.
Chapter 5.7
Simultaneous equations (elimination)
Solve systems of linear equations by eliminating variables.
Chapter 5.8
Simultaneous equations (substitution)
Solve systems of linear equations using substitution method.
Chapter 5.9
Simultaneous equations (graphical)
Find solutions by plotting and interpreting intersection points.
Chapter 5.10
Simultaneous equations (one linear, one quadratic)
Solve mixed linear-quadratic systems analytically and graphically.
Chapter 5.11
Solving quadratic equations by factorizing
Solve quadratics using factorization method for integer roots.
Chapter 5.12
Solving quadratic equations using the formula
Apply quadratic formula to find all types of roots including surds.
Chapter 5.13
Completing the square
Rewrite quadratics in completed square form for solving and analysis.
Chapter 5.14
Quadratic equations - all methods comparison
Choose the optimal method for different quadratic solving contexts.
Chapter 5.15
Linear inequalities (solving and graphing)
Solve inequalities and represent solutions on number lines and graphs.
Chapter 5.16
Quadratic inequalities
Determine solution intervals for quadratic inequalities graphically.
Chapter 5.17
Solving equations graphically
Interpret graphs to solve equations and identify intersections.
Chapter 5.18
Trial and improvement / iteration
Use systematic iteration and convergence for approximate solutions.
Next steps
Equations mastered? Move on to Section 6 for algebraic sequences - from linear to quadratic nth term formulas.