Equations B

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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	Prerequisite relationships
Represents Numbers B	- Locate integers on a number line → Represent inequalities on a number line
Equations	- Solve quadratic equations of the form $a{x}^2=c$ → Solve cubic equations of the form $a{x}^3=k$
Equations A	- Solve 3-step linear equations → Solve linear inequalities
Algebraic Techniques B	- Factorise by taking out a common algebraic factor → Solve quadratic equations of the form $a{x}^2+bx=0$ - Factorise monic quadratic trinomials → Solve monic quadratic equations by factorising

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