Equations B

numberandalgebra path adv

Equations B (Path) | NSW Curriculum Website

• MA5-EQU-P-01 solves monic quadratic equations, linear inequalities and cubic equations of the form $a{x}^3=k$

📖 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 $a{x}^2+bx+c$, 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 $a{x}^3=k$ where $a\ne 0$
• Solve cubic equations of the form $a{x}^3=k$, 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