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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 357 · 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: n/5 + 19 = 26. What is n?
  2. 2.Solve: 9y + 25 = 43. What is y?
  3. 3.Solve: 3m + 16 = 55. What is m?
  4. 4.Solve: 4p − 4 = 4. What is p?
  5. 5.Priya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  6. 6.Joseph is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  7. 7.Solve: 2p + 19 = 39. What is p?
  8. 8.Solve: 3x + 21 = 39. What is x?
  9. 9.Solve: 5(y + 8) = 80. What is y?
  10. 10.Solve: 6(m + 1) = 42. What is m?
  11. 11.Solve: 6n + 19 = 97. What is n?
  12. 12.Solve: 4(y + 7) = 32. What is y?
  13. 13.Solve: 6n + 21 = 51. What is n?
  14. 14.Solve: 5t − 34 = 21. What is t?
  15. 15.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 32 years. How old is Ishaan?
  16. 16.Solve: m/9 + 4 = 7. What is m?
  17. 17.Solve: 8(n + 6) = 56. What is n?
  18. 18.Solve: 6(t + 3) = 84. What is t?
  19. 19.Solve: 8y − 1 = 95. What is y?
  20. 20.Solve: 6(m + 2) = 54. What is m?
  21. 21.Zoya thinks of a number, multiplies it by 6 and then adds 21. The result is 111. What is the number?
  22. 22.Gurpreet thinks of a number, multiplies it by 9 and then adds 15. The result is 24. What is the number?
  23. 23.Solve: 8y + 22 = 46. What is y?
  24. 24.Solve: 3t − 12 = 18. What is t?
  25. 25.Solve: x/2 + 1 = 5. What is x?
  26. 26.Solve: x/9 + 8 = 14. What is x?
  27. 27.Solve: 9n − 100 = 26. What is n?
  28. 28.Solve: 8m − 13 = 3. What is m?
  29. 29.Solve: x/6 + 10 = 21. What is x?
  30. 30.Solve: 4p − 4 = 24. What is p?
  31. 31.Solve: 6m + 6 = 72. What is m?
  32. 32.Solve: t/4 + 10 = 14. What is t?
  33. 33.Solve: m/4 + 3 = 16. What is m?
  34. 34.Kabir thinks of a number, multiplies it by 3 and then adds 21. The result is 51. What is the number?
  35. 35.Solve: n/9 + 4 = 11. What is n?
  36. 36.Isha’s mother is three times as old as Isha. Their ages add up to 52 years. How old is Isha?
  37. 37.Solve: m/3 + 14 = 28. What is m?
  38. 38.Solve: 9(n + 2) = 99. What is n?
  39. 39.Dev’s mother is twice as old as Dev. Their ages add up to 12 years. How old is Dev?
  40. 40.Manav thinks of a number, multiplies it by 2 and then adds 24. The result is 46. What is the number?

Answer key

  1. 35
  2. 2
  3. 13
  4. 2
  5. 4
  6. 8
  7. 10
  8. 6
  9. 8
  10. 6
  11. 13
  12. 1
  13. 5
  14. 11
  15. 8
  16. 27
  17. 1
  18. 11
  19. 12
  20. 7
  21. 15
  22. 1
  23. 3
  24. 10
  25. 8
  26. 54
  27. 14
  28. 2
  29. 66
  30. 7
  31. 11
  32. 16
  33. 52
  34. 10
  35. 63
  36. 13
  37. 42
  38. 9
  39. 4
  40. 11

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