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Year 9 · Maths

Linear equations with brackets and fractions: Year 9 extension

2 checked activities 2 video matches

Start here

Focus on solving linear equations with unknowns on both sides. Open support for “Solve Equations with Fractions”, then explain the idea in your own words.

Understand the key idea

Harder equations need a tidying step before balancing. Expand brackets first, and clear fractions by multiplying every term by the denominator. Then collect the unknowns on one side — usually the side with more of them, to keep the coefficient positive — and solve as normal.

Common mix-up

When clearing a fraction you must multiply every term in the equation, not only the fraction itself. Missing a term is the most common cause of a wrong answer here.

Try this first

  1. Solve 2(x − 3) = 4x + 1 by expanding first.
  2. Clear the fraction in (x + 1)/3 = 5 and solve.
  3. Solve an equation with unknowns on both sides and negative coefficients.

Ask: When an equation has a fraction in it, what has to happen to every other term?

Year 9 learners practise solving linear equations with unknowns on both sides.

The activities include Solve Equations with Fractions, Solve Simple Linear Equations with Unknowns on Each Side. The checked support below includes video, worksheet, teaching, lesson. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.

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1

Watch it explained

watch a video explanation

WatchOak National Academy

Rearranging to solve linear equations

Best for: a clear explanation before you practise

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2

Learn it properly

lessons and teaching pages

LearnOak National Academy

Solving linear equations: lesson sequence

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3

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4

Print and finish

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Equations

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Open worksheet