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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 995 · 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: 4y + 7 = 59. What is y?
  2. 2.Sneha’s mother is twice as old as Sneha. Their ages add up to 15 years. How old is Sneha?
  3. 3.Solve: 3x − 4 = 2. What is x?
  4. 4.Solve: 2(m + 6) = 42. What is m?
  5. 5.Solve: 7m + 6 = 104. What is m?
  6. 6.Solve: 2(t + 2) = 20. What is t?
  7. 7.Solve: 4t + 8 = 68. What is t?
  8. 8.Solve: 3y + 3 = 9. What is y?
  9. 9.Solve: y/8 + 20 = 27. What is y?
  10. 10.Solve: 9p + 19 = 37. What is p?
  11. 11.Solve: 8p − 6 = 2. What is p?
  12. 12.Solve: 7x − 6 = 8. What is x?
  13. 13.Solve: 8(t + 5) = 72. What is t?
  14. 14.Solve: 3(t + 5) = 21. What is t?
  15. 15.Dev thinks of a number, multiplies it by 2 and then adds 30. The result is 34. What is the number?
  16. 16.Solve: 8t + 8 = 80. What is t?
  17. 17.Solve: 5m − 12 = 8. What is m?
  18. 18.Nisha thinks of a number, multiplies it by 3 and then adds 28. The result is 46. What is the number?
  19. 19.Kavya thinks of a number, multiplies it by 2 and then adds 6. The result is 22. What is the number?
  20. 20.Solve: 4(y + 7) = 72. What is y?
  21. 21.Solve: 8(p + 8) = 128. What is p?
  22. 22.Solve: 2x + 3 = 9. What is x?
  23. 23.Solve: 2m − 15 = 1. What is m?
  24. 24.Solve: 7n + 24 = 52. What is n?
  25. 25.Solve: 4t + 22 = 42. What is t?
  26. 26.Solve: 6n + 6 = 54. What is n?
  27. 27.Solve: 8p + 3 = 27. What is p?
  28. 28.Solve: 6t + 28 = 82. What is t?
  29. 29.Solve: 7(n + 8) = 161. What is n?
  30. 30.Solve: 9(p + 3) = 72. What is p?
  31. 31.Rohan thinks of a number, multiplies it by 7 and then adds 21. The result is 42. What is the number?
  32. 32.Solve: 9(t + 4) = 99. What is t?
  33. 33.Aditya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  34. 34.Solve: 9y + 4 = 112. What is y?
  35. 35.Saanvi thinks of a number, multiplies it by 2 and then adds 20. The result is 42. What is the number?
  36. 36.Solve: 6m + 11 = 47. What is m?
  37. 37.Kavya thinks of a number, multiplies it by 2 and then adds 9. The result is 33. What is the number?
  38. 38.Solve: 2(x + 8) = 18. What is x?
  39. 39.Nisha is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  40. 40.Solve: 8y − 43 = 61. What is y?

Answer key

  1. 13
  2. 5
  3. 2
  4. 15
  5. 14
  6. 8
  7. 15
  8. 2
  9. 56
  10. 2
  11. 1
  12. 2
  13. 4
  14. 2
  15. 2
  16. 9
  17. 4
  18. 6
  19. 8
  20. 11
  21. 8
  22. 3
  23. 8
  24. 4
  25. 5
  26. 8
  27. 3
  28. 9
  29. 15
  30. 5
  31. 3
  32. 7
  33. 7
  34. 12
  35. 11
  36. 6
  37. 12
  38. 1
  39. 8
  40. 13

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