Build and simplify linear expressions
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Log in to continueUse like terms, brackets and inverse operations to reorganise expressions without changing their value.
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Simplify (2x + 3) + (4x + 5).
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Answer: 6x + 8
- Combine x terms: 2x + 4x = 6x.
- Combine constants: 3 + 5 = 8. The expression is 6x + 8.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use like terms, brackets and inverse operations to reorganise expressions without changing their value.
Read the official VCAA curriculum description (VC2M8A01)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M8A01-C01Simplify and expand linear expressions using arithmetic properties.
- VC2M8A01-C02Factorise linear expressions and check equivalence.
- VC2M8A01-C03Create and rearrange equivalent linear expressions and explain the properties used.
- VC2M8A01-C04Use additive and multiplicative inverse pairs to simplify linear expressions.
- VC2M8A01-C05Apply and explain build and simplify linear expressions using calculate and explain each step.
- VC2M8A01-C06Apply and explain build and simplify linear expressions using read and connect representations.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Like terms and bracketsSimplify and expand linear expressions using arithmetic properties.
- D02Put common factors outside bracketsFactorise linear expressions and check equivalence.
- D03Opposites and reciprocalsUse additive and multiplicative inverse pairs to simplify linear expressions.
- D04Calculate and explain each stepApply and explain build and simplify linear expressions using calculate and explain each step.
- D05Read and connect representationsApply and explain build and simplify linear expressions using read and connect representations.