Simultaneous Linear Equations
Linear functions and models, solving simultaneous equations graphically and in context, and break-even analysis.
Active lessons
5
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
5 of 5 active
Lesson 1
5A Linear Functions
Graph and interpret linear functions y = mx + b: gradient, intercepts, and gradient from two points.
Lesson 2
5B Linear Models
Build and interpret linear models from fixed costs, starting values, rates of change, tables, and practical equations.
Lesson 3
5C Simultaneous Equations Graphically
Solve simultaneous linear equations from their graphs and recognise no-solution and infinite-solution cases.
Lesson 4
5D Simultaneous Equation Models
Solve and interpret pairs of practical models, including equal-cost points and option comparisons.
Lesson 5
5E Break-Even Analysis
Find the break-even point where revenue equals cost, and interpret profit and loss regions.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.