AC9M8A02
graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution
Elaborations
- AC9M8A02_E1recognising that in a table of values, if the first difference between consecutive values of the dependent variable is constant, then it is a linear relation
- AC9M8A02_E2graphing linear functions and relations of the form x = a, y = a, x ≤ a, x > a, y≤ a, y> a on the Cartesian plane for known values of a
- AC9M8A02_E3completing a table of values, plotting the resulting points on the Cartesian plane and determining whether the relationship is linear
- AC9M8A02_E4graphing the linear relationship ax+b = c for given values of a, b and c and identifying from the graph where ax+b < c or where ax+b > c
- AC9M8A02_E5solving linear equations of the form ax+b = c and one-variable inequalities of the form ax+b < c or ax+b > c where a>0 using inverse operations and digital tools, and checking solutions by substitution
- AC9M8A02_E6solving linear equations such as 3x+7 = 6x-9, representing these graphically, and verifying solutions by substitution
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