#NumberAndAlgebra #Core
>[!info]- [Equations | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/fa2b36d99b)
>- MA4-EQU-C-01 solves linear equations of up to 2 steps and quadratic equations of the form $ax^2=c$
## 📖 Prior Knowledge
| Content | Prior knowledge | Used for |
| ------------------------------ | ------------------------------------------------------------------------------------------------------------------------------ | ---------------------------------------------------------------------------------------------------------------------------------------------------------- |
| [[Multiplicative Relations B]] | - Inverse operations | - solving equations |
| [[Algebraic Techniques]] | - algebraic conventions<br>- substitution and evaluation<br>- forming expressions from a scenario<br>- simplifying expressions | - interpreting operations done to a pronumeral<br>- verifying solutions<br>- modelling scenarios using equations<br>- simplifying equations before solving |
| [[Indices]] | - square numbers and square roots | - solving simple quadratic equations |
## [[Solve linear equations up to 2 steps.pdf]]
- Represent number sentences involving unknown quantities using pronumerals
- Describe number sentences as equations
- Distinguish between and compare algebraic expressions and equations
- Solve linear equations with integer and non-integer solutions using algebraic techniques that involve up to 2 steps, including equations with pronumerals on both sides
- Model and solve word problems using equations of up to 2 steps
## [[Solve and verify linear equations by substitution.pdf]]
- Verify solutions to equations by substitution
- Solve problems involving linear equations, including those arising from substituting given values into formulas
## [[Solve quadratic equations.pdf]]
- Reason why there are 2 values of $x$ that satisfy a quadratic equation of the form $x^2=c$ if $c=0$
- Solve problems involving quadratic equations of the form $ax^2=c$, giving answers in exact form and as decimal approximations
- Solve quadratic equations arising from substitution into a formula