Maths worksheets · lesson 51 of 64 · free

Simple equations — Maths worksheet

A two-step equation such as 3x + 5 = 26 has two things done to x: multiplied by 3, then 5 added. Undo them in reverse order — take away 5, then divide by 3 — and always do the same to both sides. Word problems turn into equations once you call the unknown number x.

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The method

Undo in reverse — “undo the adding or subtracting first, then the multiplying or dividing”

  1. ax + b = c → ax = c − b → x = (c − b) ÷ a.
  2. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b).
  3. a(x + b) = c → divide by a first: x + b = c ÷ a.
  4. Word problems: call the unknown x, write the equation, solve it, then check with the story.

Use it for: Ages, "think of a number" puzzles, prices and the simple equations chapter of Class 7 maths.

Worked example: Solve: 3x + 5 = 26. What is x? → 7

  1. Take 5 away from both sides: 3x = 21.
  2. Divide by 3: x = 7.

Check: 3 × 7 + 5 = 26 ✓

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🏁 Lesson 51 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Class 7 Maths Worksheet: Simple Equations

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