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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 527 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 5(x + 3) = 20. What is x?
  2. 2.Solve: 7(m + 5) = 70. What is m?
  3. 3.Solve: 5n + 5 = 60. What is n?
  4. 4.Tara is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  5. 5.Solve: t/2 + 4 = 7. What is t?
  6. 6.Solve: m/6 + 5 = 20. What is m?
  7. 7.Solve: 5m + 22 = 97. What is m?
  8. 8.Solve: 4(n + 9) = 96. What is n?
  9. 9.Kabir thinks of a number, multiplies it by 4 and then adds 8. The result is 68. What is the number?
  10. 10.Solve: 7n + 19 = 54. What is n?
  11. 11.Solve: 8(p + 2) = 104. What is p?
  12. 12.Solve: x/2 + 19 = 30. What is x?
  13. 13.Solve: x/2 + 4 = 18. What is x?
  14. 14.Kabir thinks of a number, multiplies it by 3 and then adds 17. The result is 26. What is the number?
  15. 15.Solve: m/2 + 20 = 28. What is m?
  16. 16.Kavya thinks of a number, multiplies it by 4 and then adds 26. The result is 30. What is the number?
  17. 17.Aarav thinks of a number, multiplies it by 4 and then adds 13. The result is 25. What is the number?
  18. 18.Solve: 2y − 12 = 8. What is y?
  19. 19.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 21 years. How old is Ishaan?
  20. 20.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 50 years. How old is Vivaan?
  21. 21.Solve: 7(t + 5) = 70. What is t?
  22. 22.Solve: 9y − 3 = 15. What is y?
  23. 23.Solve: 2(p + 8) = 26. What is p?
  24. 24.Solve: 7n − 35 = 14. What is n?
  25. 25.Solve: t/3 + 8 = 20. What is t?
  26. 26.Solve: x/6 + 10 = 23. What is x?
  27. 27.Solve: t/3 + 2 = 15. What is t?
  28. 28.Ananya thinks of a number, multiplies it by 3 and then adds 13. The result is 16. What is the number?
  29. 29.Solve: 5(x + 3) = 60. What is x?
  30. 30.Solve: 5n − 6 = 34. What is n?
  31. 31.Solve: 7m − 6 = 29. What is m?
  32. 32.Solve: 4t − 1 = 47. What is t?
  33. 33.Meera is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  34. 34.Solve: 7x + 4 = 74. What is x?
  35. 35.Solve: 6t − 48 = 42. What is t?
  36. 36.Solve: 2m − 3 = 1. What is m?
  37. 37.Solve: 3m + 16 = 61. What is m?
  38. 38.Solve: 2x + 29 = 31. What is x?
  39. 39.Solve: 4(n + 3) = 28. What is n?
  40. 40.Solve: 4(n + 7) = 36. What is n?

Answer key

  1. 1
  2. 5
  3. 11
  4. 12
  5. 6
  6. 90
  7. 15
  8. 15
  9. 15
  10. 5
  11. 11
  12. 22
  13. 28
  14. 3
  15. 16
  16. 1
  17. 3
  18. 10
  19. 7
  20. 10
  21. 5
  22. 2
  23. 5
  24. 7
  25. 36
  26. 78
  27. 39
  28. 1
  29. 9
  30. 8
  31. 5
  32. 12
  33. 8
  34. 10
  35. 15
  36. 2
  37. 15
  38. 1
  39. 4
  40. 2

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