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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 176 · 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: 6t − 33 = 57. What is t?
  2. 2.Solve: 2t + 2 = 14. What is t?
  3. 3.Solve: 5p − 37 = 33. What is p?
  4. 4.Saanvi is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  5. 5.Solve: n/7 + 6 = 19. What is n?
  6. 6.Solve: 8(x + 4) = 40. What is x?
  7. 7.Solve: 6m − 11 = 19. What is m?
  8. 8.Solve: 2(p + 6) = 22. What is p?
  9. 9.Rohan is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  10. 10.Solve: 4m − 6 = 10. What is m?
  11. 11.Solve: 8(p + 5) = 136. What is p?
  12. 12.Zoya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  13. 13.Pooja thinks of a number, multiplies it by 8 and then adds 16. The result is 32. What is the number?
  14. 14.Solve: 5p − 2 = 48. What is p?
  15. 15.Rohan thinks of a number, multiplies it by 5 and then adds 1. The result is 31. What is the number?
  16. 16.Solve: 2(n + 4) = 28. What is n?
  17. 17.Solve: 8n + 30 = 86. What is n?
  18. 18.Solve: x/4 + 17 = 22. What is x?
  19. 19.Solve: 7t + 19 = 33. What is t?
  20. 20.Ishaan thinks of a number, multiplies it by 7 and then adds 8. The result is 64. What is the number?
  21. 21.Solve: 5n + 26 = 61. What is n?
  22. 22.Solve: 6x + 20 = 32. What is x?
  23. 23.Solve: 5n + 25 = 65. What is n?
  24. 24.Ananya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  25. 25.Solve: 8y − 22 = 50. What is y?
  26. 26.Solve: p/9 + 10 = 17. What is p?
  27. 27.Solve: 3x − 25 = 11. What is x?
  28. 28.Solve: y/4 + 5 = 20. What is y?
  29. 29.Solve: 6(t + 9) = 66. What is t?
  30. 30.Riya thinks of a number, multiplies it by 8 and then adds 18. The result is 58. What is the number?
  31. 31.Solve: 7m + 2 = 86. What is m?
  32. 32.Arjun thinks of a number, multiplies it by 4 and then adds 19. The result is 67. What is the number?
  33. 33.Solve: 2p + 17 = 47. What is p?
  34. 34.Solve: p/3 + 17 = 20. What is p?
  35. 35.Meera is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  36. 36.Solve: 8(m + 9) = 104. What is m?
  37. 37.Dev thinks of a number, multiplies it by 8 and then adds 10. The result is 114. What is the number?
  38. 38.Solve: 7n − 9 = 54. What is n?
  39. 39.Solve: 6(x + 1) = 72. What is x?
  40. 40.Solve: 5(x + 5) = 60. What is x?

Answer key

  1. 15
  2. 6
  3. 14
  4. 5
  5. 91
  6. 1
  7. 5
  8. 5
  9. 14
  10. 4
  11. 12
  12. 12
  13. 2
  14. 10
  15. 6
  16. 10
  17. 7
  18. 20
  19. 2
  20. 8
  21. 7
  22. 2
  23. 8
  24. 8
  25. 9
  26. 63
  27. 12
  28. 60
  29. 2
  30. 5
  31. 12
  32. 12
  33. 15
  34. 9
  35. 11
  36. 4
  37. 13
  38. 9
  39. 11
  40. 7

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