- MA5-EQU-P-02 solves linear equations of more than 3 steps, monic and non-monic quadratic equations, and linear simultaneous equations
📖 Prior Knowledge
| Content | Prior knowledge | Used for |
|---|---|---|
| Linear Relationships | - point of intersection is the simultaneous solution | - solving simultaneous equations graphically |
| Algebraic Techniques C | - simplifying algebraic fractions - factorising non-monic quadratic trinomials | - solving equations with two or more fractions - solving non-monic quadratic equations |
| Equations B | - solving monic quadratic equations | - solving non-monic quadratic equations |
| Indices C | - operations with surds | - quadratic formula |
Solve linear equations involving algebraic fractions and equations of more than 3 steps.pdf
- Solve linear equations involving more than 3 steps
- Solve equations that involve 2 or more fractions
Rearrange literal equations.pdf
- Change the subject of a formula
Solve quadratic equations using a variety of methods.pdf
- Solve equations of the form by factorisation and by completing the square
- Apply the quadratic formula to solve quadratic equations
- Apply the most appropriate method to solve a variety of quadratic equations
- Use substitution to verify solutions to quadratic equations
- Identify whether a given quadratic equation has real solutions, and if there are real solutions, whether or not they are equal
- Solve quadratic equations resulting from substitution into formulas in various contexts
- Model and solve word problems using quadratic equations in various contexts
- Solve equations that are reducible to quadratics
Solve linear simultaneous equations, both algebraically and graphically
- Solve linear simultaneous equations by finding the point of intersection of their graphs
- Solve linear simultaneous equations using algebraic techniques including substitution and elimination methods
- Model and solve word problems using simultaneous equations and interpret their solutions
- Describe an identity as an equation that is true for all values of the pronumeral and relate the identity to coincident lines
- Describe a contradiction as an equation that has no solutions and relate the contradiction to parallel lines