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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 248 · 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.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 56 years. How old is Ishaan?
  2. 2.Arjun thinks of a number, multiplies it by 7 and then adds 29. The result is 92. What is the number?
  3. 3.Solve: p/2 + 18 = 20. What is p?
  4. 4.Solve: x/2 + 9 = 23. What is x?
  5. 5.Solve: p/7 + 2 = 15. What is p?
  6. 6.Solve: 5n + 20 = 35. What is n?
  7. 7.Solve: 6t + 2 = 8. What is t?
  8. 8.Solve: 6p − 15 = 9. What is p?
  9. 9.Solve: 7t + 19 = 61. What is t?
  10. 10.Solve: 4n + 3 = 7. What is n?
  11. 11.Solve: 4p + 19 = 31. What is p?
  12. 12.Solve: 2y − 1 = 29. What is y?
  13. 13.Solve: 2n + 14 = 34. What is n?
  14. 14.Solve: 4m + 12 = 56. What is m?
  15. 15.Solve: 8(t + 3) = 120. What is t?
  16. 16.Solve: 2p + 23 = 31. What is p?
  17. 17.Solve: 6y − 38 = 10. What is y?
  18. 18.Rohan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  19. 19.Ananya thinks of a number, multiplies it by 4 and then adds 14. The result is 30. What is the number?
  20. 20.Solve: 8(x + 4) = 112. What is x?
  21. 21.Solve: t/3 + 3 = 18. What is t?
  22. 22.Solve: 3x + 5 = 23. What is x?
  23. 23.Solve: 3(m + 1) = 30. What is m?
  24. 24.Solve: 7(p + 8) = 105. What is p?
  25. 25.Solve: 2(t + 3) = 36. What is t?
  26. 26.Diya thinks of a number, multiplies it by 3 and then adds 4. The result is 40. What is the number?
  27. 27.Solve: x/6 + 7 = 15. What is x?
  28. 28.Solve: 5(p + 5) = 70. What is p?
  29. 29.Solve: 3n + 19 = 25. What is n?
  30. 30.Solve: t/2 + 15 = 17. What is t?
  31. 31.Solve: 4x − 23 = 1. What is x?
  32. 32.Solve: 5m + 27 = 42. What is m?
  33. 33.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 15 years. How old is Saanvi?
  34. 34.Solve: 4y − 14 = 22. What is y?
  35. 35.Aditya is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  36. 36.Solve: 9m − 14 = 67. What is m?
  37. 37.Saanvi is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  38. 38.Dev is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  39. 39.Solve: 4n − 14 = 10. What is n?
  40. 40.Solve: x/3 + 6 = 15. What is x?

Answer key

  1. 14
  2. 9
  3. 4
  4. 28
  5. 91
  6. 3
  7. 1
  8. 4
  9. 6
  10. 1
  11. 3
  12. 15
  13. 10
  14. 11
  15. 12
  16. 4
  17. 8
  18. 5
  19. 4
  20. 10
  21. 45
  22. 6
  23. 9
  24. 7
  25. 15
  26. 12
  27. 48
  28. 9
  29. 2
  30. 4
  31. 6
  32. 3
  33. 5
  34. 9
  35. 12
  36. 9
  37. 11
  38. 7
  39. 6
  40. 27

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