- 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 | Prerequisite relationships |
|---|---|
| Equations | - Verify equation solutions by substitution → Model and solve word problems with quadratics |
| Linear Relationships | - Find the intersection of two lines → Solve simultaneous equations graphically |
| Equations A | - Solve 3-step linear equations → Change the subject of a formula - Solve 3-step linear equations → Solve simultaneous equations algebraically - Solve linear equations with one algebraic fraction → Solve linear equations with two or more fractions |
| Algebraic Techniques B | - Factorise by taking out a common algebraic factor → Change the subject when it appears twice |
| Algebraic Techniques C | - Prove and apply special products → Complete the square - Factorise using special products and grouping → Solve quadratic equations by factorisation |
| Indices C | - Simplify expressions involving surds → Solve quadratics by completing the square - Simplify expressions involving surds → Apply the quadratic formula |
| Equations B | - Solve monic quadratic equations by factorising → Solve quadratic equations by factorisation - Solve linear inequalities → Find unknown coefficients using the discriminant |
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