Use variables in everyday formulas
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A rectangular garden uses A = l × w. Its length l is 5 m and width w is 3 m. What area A does the formula give?
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Answer: 15 m²
- Substitute the length and width: A = 5 × 3.
- A = 15 m².
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Translate quantities into symbols and substitute known values.
Read the official VCAA curriculum description (VC2M7A01)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M7A01-C01A formula is a relationship between named quantities. In P = 6g + b, g might mean goals and b behinds. Read those definitions and units before substituting numbers; the coefficient 6 is not another variable.
- VC2M7A01-C02Multiply each rate by its matching quantity, then add any fixed terms. Child and adult ticket costs need separate products. Density, pay and area formulas use different quantities, so retain their units.
- VC2M7A01-C03Substitute every known quantity, then work backwards to recover the unknown. Distinguish revenue from profit and a fixed fee from a repeated cost. Check that the result makes the original formula true and answers the requested real-world quantity.
- VC2M7A01-C04Formulating an everyday algebraic model and interpreting its unknowns.
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Descriptor-derived subskills
- D01Match each symbol to a quantityA formula is a relationship between named quantities. In P = 6g + b, g might mean goals and b behinds. Read those definitions and units before substituting numbers; the coefficient 6 is not another variable.
- D02Form and use an everyday formulaMultiply each rate by its matching quantity, then add any fixed terms. Child and adult ticket costs need separate products. Density, pay and area formulas use different quantities, so retain their units.
- D03Recover and check an unknownSubstitute every known quantity, then work backwards to recover the unknown. Distinguish revenue from profit and a fixed fee from a repeated cost. Check that the result makes the original formula true and answers the requested real-world quantity.