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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 297 · 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.Meera thinks of a number, multiplies it by 4 and then adds 20. The result is 80. What is the number?
  2. 2.Solve: 2y − 3 = 5. What is y?
  3. 3.Solve: 3p + 15 = 42. What is p?
  4. 4.Solve: 5t + 6 = 51. What is t?
  5. 5.Lakshmi thinks of a number, multiplies it by 5 and then adds 21. The result is 31. What is the number?
  6. 6.Solve: 7n + 1 = 78. What is n?
  7. 7.Solve: p/4 + 3 = 16. What is p?
  8. 8.Solve: 4x − 1 = 7. What is x?
  9. 9.Solve: 5(m + 5) = 35. What is m?
  10. 10.Solve: 8x + 21 = 45. What is x?
  11. 11.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 45 years. How old is Ishaan?
  12. 12.Solve: 5x + 7 = 42. What is x?
  13. 13.Solve: 5t − 11 = 9. What is t?
  14. 14.Nisha thinks of a number, multiplies it by 9 and then adds 24. The result is 114. What is the number?
  15. 15.Solve: 5m + 11 = 76. What is m?
  16. 16.Solve: 2n − 1 = 1. What is n?
  17. 17.Solve: y/8 + 12 = 21. What is y?
  18. 18.Solve: 6(t + 1) = 54. What is t?
  19. 19.Solve: 2x + 10 = 36. What is x?
  20. 20.Kabir is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  21. 21.Arjun is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  22. 22.Solve: 8n − 28 = 4. What is n?
  23. 23.Ananya thinks of a number, multiplies it by 3 and then adds 29. The result is 35. What is the number?
  24. 24.Solve: 6m − 5 = 67. What is m?
  25. 25.Solve: 2p − 23 = 3. What is p?
  26. 26.Solve: 6n − 45 = 9. What is n?
  27. 27.Solve: 5(m + 3) = 75. What is m?
  28. 28.Solve: n/7 + 7 = 20. What is n?
  29. 29.Solve: n/6 + 4 = 18. What is n?
  30. 30.Solve: 5x + 4 = 9. What is x?
  31. 31.Solve: 9(y + 5) = 99. What is y?
  32. 32.Solve: 8p + 30 = 102. What is p?
  33. 33.Sneha’s mother is twice as old as Sneha. Their ages add up to 45 years. How old is Sneha?
  34. 34.Ananya’s mother is three times as old as Ananya. Their ages add up to 40 years. How old is Ananya?
  35. 35.Solve: 2t − 3 = 11. What is t?
  36. 36.Solve: 3x − 8 = 13. What is x?
  37. 37.Solve: 2(x + 6) = 16. What is x?
  38. 38.Solve: p/5 + 12 = 22. What is p?
  39. 39.Solve: 7(t + 1) = 21. What is t?
  40. 40.Solve: 3y + 17 = 56. What is y?

Answer key

  1. 15
  2. 4
  3. 9
  4. 9
  5. 2
  6. 11
  7. 52
  8. 2
  9. 2
  10. 3
  11. 9
  12. 7
  13. 4
  14. 10
  15. 13
  16. 1
  17. 72
  18. 8
  19. 13
  20. 12
  21. 5
  22. 4
  23. 2
  24. 12
  25. 13
  26. 9
  27. 12
  28. 91
  29. 84
  30. 1
  31. 6
  32. 9
  33. 15
  34. 10
  35. 7
  36. 7
  37. 2
  38. 50
  39. 2
  40. 13

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