Maths worksheets · lesson 60 of 64 · free

Linear equations in one variable — Maths worksheet

A linear equation can have the unknown on both sides: 5x + 3 = 2x + 18. Move the x terms to one side and the numbers to the other — a term changes its sign when it crosses the = sign — so 3x = 15 and x = 5. Open brackets first, and clear fractions by multiplying both sides by the LCM of the denominators.

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The method

Letters one side, numbers the other — “move the letter terms to one side and the numbers to the other, changing the sign as they cross”

  1. Open brackets: a(x − b) = ax − ab.
  2. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168.
  3. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide.
  4. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

Use it for: Ages, consecutive numbers, perimeters with an unknown side, and the linear equations chapter of Class 8 maths.

Worked example: Solve: 5x + 3 = 2x + 18. What is x? → 5

  1. Move the x terms to one side and the numbers to the other: 5x − 2x = 18 − 3, so 3x = 15.
  2. Divide by 3: x = 5.

Check: 5 × 5 + 3 = 28 and 2 × 5 + 18 = 28 ✓

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🏁 Lesson 60 test

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

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🖨️ Class 8 Maths Worksheet: Linear Equations

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