Examples and practice
Systems of linear equations
Back to lessonPractice section 1 · Questions 1–6
Substitution, elimination and a graphical check · Enter a system and interpret a unique calculator solution · +4 more
Practice section 2 · Questions 7–12
Use both coordinates and gradients at stationary points · Restrict a free parameter to feasible donor counts · +4 more
Practice section 3 · Questions 13–18
Juice mixtures: conserve volume and each ingredient · Basketball: distinguish attempts, successes and points · +4 more
- Juice mixtures: conserve volume and each ingredient
- Basketball: distinguish attempts, successes and points
- Recover a rational curve from points and a gradient
- A cubic determined by two points and two stationary inputs
- Use a remainder and a stationary point as constraints
- Brick orders: distinguish a fixed-profit system from cost minimisation
Practice section 4 · Question 19
Shoe production: full expenditure and a budget cap