#NumberAndAlgebra #Path #Adv >[!info]- [Equations B (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fab83522c4) >- MA5-EQU-P-01 solves monic quadratic equations, linear inequalities and cubic equations of the form $ax^3=k$ ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | -------------------------- | ---------------------------------------- | ------------------------------------------------- | | [[Indices]] | - cube numbers and cube roots | - solving cubic equations | | [[Algebraic Techniques B]] | - factorising monic quadratic trinomials | - solving monic quadratic equations | | [[Equations A]] | - solving multistep linear equations | - solving cubic equations and linear inequalities | ## [[Solve monic quadratic equations.pdf]] - Solve quadratic equations of the form $ax^2+bx+c$, limited to $a=1$, using factors ## [[Solve cubic equations.pdf]] - Determine that for any value of $k$ there is a unique value of $x$ that solves a cubic equation of the form $ax^3=k$ where $a≠0$ - Solve cubic equations of the form $ax^3=k$, leaving answers in exact form and as decimal approximations ## [[Solve linear inequalities and graph their solutions on a number line.pdf]] - Represent inequalities on a number line - Solve linear inequalities, including those with negative numbers, and graph the solutions - Recognise that an inequality has an infinite number of solutions unless other restrictions are introduced