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Forming and Solving Equations

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A variable is a letter such as xxx that stands for an unknown number. An expression is something like 3x+53x+53x+5, while an equation says two expressions are equal, like 3x+5=203x+5=203x+5=20.

When a question gives a shape, a total, or an angle fact, first write an expression from the information. Then form an equation by setting that expression equal to the known value.

To solve the equation, use inverse operations and do the same thing to both sides. Finally, check that your answer fits the original situation.

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Question 1

4 marks

The lengths, in cm, of the sides of a triangle are 3x−53x - 53x−5, 2x−12x - 12x−1 and x+1x + 1x+1

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Like terms have the same [     ], such as 2x2x2x and 5x5x5x.

Forming and Solving Equations Revision Guide

  1. GCSE
  2. /Maths
  3. /Forming and Solving Equations

Revision notes for Edexcel GCSE Maths Forming and Solving Equations. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Compound Interest and DepreciationIndicesPrime Factors, HCF and LCMReal Life and Distance Time GraphsInequalitiesForming and Solving EquationsSequences (Nth Term)Expanding and FactorisingPythagorasAngles in Parallel LinesAngles in PolygonsSurface AreaVolume of a PrismCylindersLoci and ConstructionBearingsPlans and ElevationsAverages from Frequency TablesProbabilityScatter Graphs

Practise questions

1 of 5

Two angles on a straight line are 5x+105x+105x+10 degrees and 3x+23x+23x+2 degrees. Find xxx.