Linear equations and two-point graphs
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Log in to continueSolve linear equations and connect equivalent equation forms with points on a straight line.
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Solve 2x + 3 = -5.
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Answer: -4
- Subtract 3 from both sides: 2x = -8.
- Divide both sides by 2: x = -4.
- Substitute into the original equation to check.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Solve linear equations and connect equivalent equation forms with points on a straight line.
Read the official VCAA curriculum description (VC2M9A03)
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.
- VC2M9A03-C01Use inverse operations on both sides.
- VC2M9A03-C02Rearrange a line equation and calculate two coordinates.
- VC2M9A03-C03Draw a complete linear graph from two points.
- VC2M9A03-C04Apply and explain linear equations and two-point graphs using read and connect representations.
- VC2M9A03-C05Apply and explain linear equations and two-point graphs using calculate and explain each step.
- VC2M9A03-C06Apply and explain linear equations and two-point graphs using work backwards from what is known.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Balance an equationUse inverse operations on both sides.
- D02Find points and sketch the lineRearrange a line equation and calculate two coordinates.
- D03Read and connect representationsApply and explain linear equations and two-point graphs using read and connect representations.
- D04Calculate and explain each stepApply and explain linear equations and two-point graphs using calculate and explain each step.
- D05Work backwards from what is knownApply and explain linear equations and two-point graphs using work backwards from what is known.