Linear equations, inequalities and graphs
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Log in to continueFind solutions, check them by substitution and connect them to the Cartesian plane.
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Solve 2x + 3 = 11.
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Answer: 4
- Subtract 3 from both sides: 2x = 8.
- Divide both sides by 2: x = 4. Check: 2 × 4 + 3 = 11.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Find solutions, check them by substitution and connect them to the Cartesian plane.
Read the official VCAA curriculum description (VC2M8A02)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M8A02-C01Solve linear equations and verify the solution.
- VC2M8A02-C02Solve one-variable linear inequalities.
- VC2M8A02-C03Identify points on a linear relation.
- VC2M8A02-C04Graph linear relations using a digital tool and solve equations or inequalities graphically.
- VC2M8A02-C05Solve inequalities requiring division by a negative number.
- VC2M8A02-C06Interpret coordinates on a plotted straight line.
- VC2M8A02-C07Apply and explain linear equations, inequalities and graphs using calculate and explain each step.
- VC2M8A02-C08Apply and explain linear equations, inequalities and graphs using read and connect representations.
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Skills in this topic
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Undo operations on both sidesSolve linear equations and verify the solution.
- D02A range of solutionsSolve one-variable linear inequalities.
- D03Coordinates that satisfy the ruleIdentify points on a linear relation.
- D04Know when the sign reversesSolve inequalities requiring division by a negative number.
- D05Read the plotted relationshipInterpret coordinates on a plotted straight line.
- D06Calculate and explain each stepApply and explain linear equations, inequalities and graphs using calculate and explain each step.
- D07Read and connect representationsApply and explain linear equations, inequalities and graphs using read and connect representations.