Year 10 - Linear equations - Free practice
Year 10 Linear Equations Worksheets & Practice Tests
Multi-step equations, equations from formulas, applied problems.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 10 linear equations are mostly the multi-step variety - fractions on both sides, brackets nested in brackets, and equations derived from rearranged formulas. These worksheets give your student that exact difficulty level so the routine becomes second nature before VCE Methods.
What's covered
Sub-skills your student will practise
- ✓Multi-step linear equations with brackets
- ✓Equations with fractions on both sides
- ✓Rearranging formulas to make a variable the subject
- ✓Solving equations derived from worded scenarios
- ✓Equations leading to fractional or decimal solutions
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Frequently asked
Questions parents ask about linear equations
What's new about Year 10 linear equations?
Multi-step equations with brackets and fractions on both sides, plus equations derived from rearranged formulas (make x the subject of A = B + Cx). Year 10 also covers equations whose solutions involve fractions or decimals.
How do students approach an equation with fractions?
Multiply both sides by the lowest common denominator to clear all fractions in one move. For x/3 + 1/2 = 4, multiply by 6: 2x + 3 = 24, then 2x = 21, x = 10.5.
What does 'make x the subject' mean?
Rearrange the formula so x is alone on one side. For y = 2x + 5, make x the subject: y - 5 = 2x, then x = (y - 5) / 2. Same algebra as solving an equation.
Why are multi-step equations so important for VCE Methods?
Methods spends a huge fraction of its time rearranging and solving equations within longer problems. Students who plateau at single-step equations stall in Year 11. Fluency built in Year 10 carries through.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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Talk to us about Year 10 linear equations.
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