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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 223 · 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: 3t + 26 = 29. What is t?
  2. 2.Solve: 4y + 18 = 30. What is y?
  3. 3.Solve: 9t + 5 = 86. What is t?
  4. 4.Solve: 4p − 1 = 39. What is p?
  5. 5.Solve: 4y + 4 = 32. What is y?
  6. 6.Solve: 4(m + 1) = 20. What is m?
  7. 7.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 40 years. How old is Saanvi?
  8. 8.Solve: 5(t + 4) = 80. What is t?
  9. 9.Solve: m/9 + 14 = 29. What is m?
  10. 10.Diya thinks of a number, multiplies it by 2 and then adds 25. The result is 37. What is the number?
  11. 11.Solve: 3t + 12 = 33. What is t?
  12. 12.Solve: 2m − 7 = 15. What is m?
  13. 13.Solve: 6p + 3 = 33. What is p?
  14. 14.Kabir’s mother is twice as old as Kabir. Their ages add up to 36 years. How old is Kabir?
  15. 15.Solve: 2(n + 4) = 30. What is n?
  16. 16.Riya thinks of a number, multiplies it by 5 and then adds 29. The result is 64. What is the number?
  17. 17.Rohan’s mother is four times as old as Rohan. Their ages add up to 30 years. How old is Rohan?
  18. 18.Ananya’s mother is twice as old as Ananya. Their ages add up to 15 years. How old is Ananya?
  19. 19.Solve: 6p − 29 = 55. What is p?
  20. 20.Solve: 7(x + 4) = 42. What is x?
  21. 21.Solve: 8n + 26 = 106. What is n?
  22. 22.Isha’s mother is three times as old as Isha. Their ages add up to 20 years. How old is Isha?
  23. 23.Solve: 7(t + 4) = 35. What is t?
  24. 24.Joseph thinks of a number, multiplies it by 8 and then adds 30. The result is 70. What is the number?
  25. 25.Solve: y/6 + 4 = 14. What is y?
  26. 26.Arjun is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  27. 27.Solve: 3x − 5 = 13. What is x?
  28. 28.Solve: m/2 + 5 = 19. What is m?
  29. 29.Manav’s mother is three times as old as Manav. Their ages add up to 52 years. How old is Manav?
  30. 30.Solve: 2y + 8 = 18. What is y?
  31. 31.Solve: 9p − 24 = 21. What is p?
  32. 32.Solve: 8m + 4 = 100. What is m?
  33. 33.Diya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  34. 34.Solve: p/4 + 7 = 10. What is p?
  35. 35.Solve: y/4 + 13 = 15. What is y?
  36. 36.Solve: 3(t + 4) = 18. What is t?
  37. 37.Ishaan thinks of a number, multiplies it by 9 and then adds 14. The result is 68. What is the number?
  38. 38.Solve: 2(m + 1) = 12. What is m?
  39. 39.Solve: 5n − 39 = 1. What is n?
  40. 40.Solve: 8(t + 2) = 72. What is t?

Answer key

  1. 1
  2. 3
  3. 9
  4. 10
  5. 7
  6. 4
  7. 8
  8. 12
  9. 135
  10. 6
  11. 7
  12. 11
  13. 5
  14. 12
  15. 11
  16. 7
  17. 6
  18. 5
  19. 14
  20. 2
  21. 10
  22. 5
  23. 1
  24. 5
  25. 60
  26. 7
  27. 6
  28. 28
  29. 13
  30. 5
  31. 5
  32. 12
  33. 5
  34. 12
  35. 8
  36. 2
  37. 6
  38. 5
  39. 8
  40. 7

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