Connect the ideas
Keep equations balanced and check the original statements.
A simultaneous solution satisfies both equations and is a common graph point.
Parallel distinct lines have no solution; coincident lines have infinitely many.
Reverse an inequality when multiplying or dividing by a negative.
Use boundary style, test points and overlapping half-planes for two-variable inequalities.
Apply practical domains such as nonnegative integer counts.
Practice tests
Complete each paper and show your working.
Linear equations and inequalities practice test 1
16 questions · 40 marks · 55 minutes · By hand
Linear equations and inequalities practice test 2
16 questions · 40 marks · 55 minutes · By hand
Linear models and inequalities applications test
16 questions · 47 marks · 60 minutes · By hand