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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 19 · 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: 8p − 22 = 42. What is p?
  2. 2.Solve: t/7 + 3 = 8. What is t?
  3. 3.Solve: 5t − 28 = 47. What is t?
  4. 4.Solve: 3p + 5 = 8. What is p?
  5. 5.Kabir thinks of a number, multiplies it by 4 and then adds 14. The result is 30. What is the number?
  6. 6.Rohan is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  7. 7.Nisha thinks of a number, multiplies it by 2 and then adds 3. The result is 11. What is the number?
  8. 8.Solve: 2(m + 1) = 8. What is m?
  9. 9.Solve: 7(n + 2) = 35. What is n?
  10. 10.Solve: 5t − 24 = 36. What is t?
  11. 11.Diya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  12. 12.Lakshmi thinks of a number, multiplies it by 5 and then adds 16. The result is 71. What is the number?
  13. 13.Solve: 2n + 29 = 53. What is n?
  14. 14.Riya thinks of a number, multiplies it by 6 and then adds 26. The result is 56. What is the number?
  15. 15.Solve: 5t − 43 = 22. What is t?
  16. 16.Solve: 4m + 24 = 84. What is m?
  17. 17.Solve: 6(m + 6) = 84. What is m?
  18. 18.Solve: p/6 + 12 = 13. What is p?
  19. 19.Solve: 3(x + 3) = 33. What is x?
  20. 20.Rohan’s mother is four times as old as Rohan. Their ages add up to 60 years. How old is Rohan?
  21. 21.Solve: 2n + 26 = 44. What is n?
  22. 22.Manav is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  23. 23.Solve: y/6 + 17 = 30. What is y?
  24. 24.Ananya thinks of a number, multiplies it by 5 and then adds 8. The result is 68. What is the number?
  25. 25.Solve: 6(y + 1) = 96. What is y?
  26. 26.Solve: 8y + 11 = 115. What is y?
  27. 27.Solve: p/7 + 19 = 23. What is p?
  28. 28.Solve: p/4 + 12 = 16. What is p?
  29. 29.Manav’s mother is three times as old as Manav. Their ages add up to 56 years. How old is Manav?
  30. 30.Solve: 4p + 24 = 56. What is p?
  31. 31.Saanvi is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  32. 32.Solve: 3t − 6 = 39. What is t?
  33. 33.Solve: 7p − 31 = 18. What is p?
  34. 34.Solve: 2x − 6 = 24. What is x?
  35. 35.Solve: 7n − 10 = 4. What is n?
  36. 36.Solve: 7n + 26 = 131. What is n?
  37. 37.Solve: t/4 + 15 = 16. What is t?
  38. 38.Lakshmi thinks of a number, multiplies it by 8 and then adds 8. The result is 80. What is the number?
  39. 39.Solve: 4y + 27 = 55. What is y?
  40. 40.Solve: 4(n + 8) = 88. What is n?

Answer key

  1. 8
  2. 35
  3. 15
  4. 1
  5. 4
  6. 13
  7. 4
  8. 3
  9. 3
  10. 12
  11. 12
  12. 11
  13. 12
  14. 5
  15. 13
  16. 15
  17. 8
  18. 6
  19. 8
  20. 12
  21. 9
  22. 9
  23. 78
  24. 12
  25. 15
  26. 13
  27. 28
  28. 16
  29. 14
  30. 8
  31. 13
  32. 15
  33. 7
  34. 15
  35. 2
  36. 15
  37. 4
  38. 9
  39. 7
  40. 14

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