Solve linear problems
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Log in to continueTranslate contexts and rearranged formulas into solvable linear equations.
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A rental costs $5 plus $3 per hour. The total is $11. How many hours were charged?
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Answer: 2
- Write 3h + 5 = 11.
- Subtract the fixed fee and divide by 3.
- h = 2 hours.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Translate contexts and rearranged formulas into solvable linear equations.
Read the official VCAA curriculum description (VC2M10A07)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
- VC2M10A07-C01Write a linear equation that matches fixed and variable quantities.
- VC2M10A07-C02Reduce an equation to one variable term and a constant.
- VC2M10A07-C03Apply and explain solve linear problems using calculate and explain each step.
- VC2M10A07-C04Apply and explain solve linear problems using build and check a model.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Model a totalWrite a linear equation that matches fixed and variable quantities.
- D02Expand then solveReduce an equation to one variable term and a constant.
- D03Calculate and explain each stepApply and explain solve linear problems using calculate and explain each step.
- D04Build and check a modelApply and explain solve linear problems using build and check a model.