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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 81 · 40 sums
TalentJR

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: 2t + 11 = 37. What is t?
  2. 2.Solve: 2y − 3 = 1. What is y?
  3. 3.Solve: 5m + 27 = 62. What is m?
  4. 4.Solve: 2t + 12 = 30. What is t?
  5. 5.Solve: m/9 + 5 = 9. What is m?
  6. 6.Solve: n/3 + 1 = 10. What is n?
  7. 7.Solve: x/8 + 13 = 20. What is x?
  8. 8.Zoya thinks of a number, multiplies it by 5 and then adds 16. The result is 71. What is the number?
  9. 9.Solve: y/9 + 6 = 12. What is y?
  10. 10.Solve: 3(m + 1) = 48. What is m?
  11. 11.Solve: 5(m + 4) = 90. What is m?
  12. 12.Nisha is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  13. 13.Solve: n/3 + 19 = 27. What is n?
  14. 14.Solve: 2(y + 7) = 20. What is y?
  15. 15.Solve: 9(x + 2) = 99. What is x?
  16. 16.Arjun is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  17. 17.Solve: 4y + 21 = 77. What is y?
  18. 18.Solve: 4(x + 3) = 64. What is x?
  19. 19.Solve: 6(x + 2) = 84. What is x?
  20. 20.Rohan thinks of a number, multiplies it by 9 and then adds 13. The result is 40. What is the number?
  21. 21.Solve: n/6 + 20 = 24. What is n?
  22. 22.Solve: 2y − 4 = 18. What is y?
  23. 23.Solve: t/7 + 14 = 20. What is t?
  24. 24.Solve: 2n + 13 = 31. What is n?
  25. 25.Solve: 4m + 30 = 34. What is m?
  26. 26.Solve: 8x + 6 = 38. What is x?
  27. 27.Solve: 8(x + 7) = 176. What is x?
  28. 28.Diya is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  29. 29.Solve: p/8 + 9 = 16. What is p?
  30. 30.Solve: 4(p + 2) = 40. What is p?
  31. 31.Solve: 6y + 1 = 55. What is y?
  32. 32.Solve: x/6 + 6 = 9. What is x?
  33. 33.Solve: 4n + 25 = 37. What is n?
  34. 34.Solve: 7m − 22 = 6. What is m?
  35. 35.Solve: 3m − 24 = 3. What is m?
  36. 36.Solve: 3x + 21 = 57. What is x?
  37. 37.Solve: 2p − 7 = 1. What is p?
  38. 38.Solve: 7x − 2 = 26. What is x?
  39. 39.Solve: 6(p + 7) = 102. What is p?
  40. 40.Solve: 4n + 23 = 75. What is n?

Answer key

  1. 13
  2. 2
  3. 7
  4. 9
  5. 36
  6. 27
  7. 56
  8. 11
  9. 54
  10. 15
  11. 14
  12. 6
  13. 24
  14. 3
  15. 9
  16. 4
  17. 14
  18. 13
  19. 12
  20. 3
  21. 24
  22. 11
  23. 42
  24. 9
  25. 1
  26. 4
  27. 15
  28. 15
  29. 56
  30. 8
  31. 9
  32. 18
  33. 3
  34. 4
  35. 9
  36. 12
  37. 4
  38. 4
  39. 10
  40. 13

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