Equations

numberandalgebra core

Equations | NSW Curriculum Website

• MA4-EQU-C-01 solves linear equations of up to 2 steps and quadratic equations of the form $a{x}^2=c$

📖 Prior Knowledge

Content	Prior knowledge	Used for
Multiplicative Relations B	- Inverse operations	- solving equations
Algebraic Techniques	- algebraic conventions - substitution and evaluation - forming expressions from a scenario - simplifying expressions	- interpreting operations done to a pronumeral - verifying solutions - modelling scenarios using equations - 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 $a{x}^2=c$, giving answers in exact form and as decimal approximations
• Solve quadratic equations arising from substitution into a formula