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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 265 · 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: 3y + 1 = 16. What is y?
  2. 2.Solve: p/4 + 9 = 16. What is p?
  3. 3.Solve: 5(n + 6) = 50. What is n?
  4. 4.Meera’s mother is twice as old as Meera. Their ages add up to 39 years. How old is Meera?
  5. 5.Solve: 2p + 27 = 39. What is p?
  6. 6.Solve: m/4 + 1 = 9. What is m?
  7. 7.Saanvi thinks of a number, multiplies it by 8 and then adds 29. The result is 69. What is the number?
  8. 8.Solve: 7n − 2 = 54. What is n?
  9. 9.Solve: 7(x + 5) = 70. What is x?
  10. 10.Solve: 5t − 30 = 30. What is t?
  11. 11.Solve: t/3 + 3 = 14. What is t?
  12. 12.Aarav is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  13. 13.Solve: 4t + 11 = 67. What is t?
  14. 14.Solve: 6p − 33 = 57. What is p?
  15. 15.Zoya thinks of a number, multiplies it by 3 and then adds 9. The result is 36. What is the number?
  16. 16.Solve: 2x + 29 = 57. What is x?
  17. 17.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 60 years. How old is Gurpreet?
  18. 18.Solve: 4n + 30 = 62. What is n?
  19. 19.Solve: 4m + 11 = 71. What is m?
  20. 20.Solve: x/6 + 8 = 14. What is x?
  21. 21.Solve: 8(m + 6) = 96. What is m?
  22. 22.Solve: 8t + 3 = 115. What is t?
  23. 23.Kavya is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  24. 24.Diya thinks of a number, multiplies it by 2 and then adds 19. The result is 37. What is the number?
  25. 25.Solve: 3p + 2 = 38. What is p?
  26. 26.Solve: 9n − 43 = 2. What is n?
  27. 27.Solve: 2(n + 4) = 32. What is n?
  28. 28.Solve: 5m − 17 = 8. What is m?
  29. 29.Solve: 9x − 15 = 39. What is x?
  30. 30.Solve: 5n − 9 = 66. What is n?
  31. 31.Solve: x/8 + 1 = 4. What is x?
  32. 32.Solve: 8(x + 9) = 128. What is x?
  33. 33.Riya’s mother is twice as old as Riya. Their ages add up to 36 years. How old is Riya?
  34. 34.Solve: 3m + 1 = 28. What is m?
  35. 35.Solve: 6x + 29 = 107. What is x?
  36. 36.Solve: 8m − 17 = 7. What is m?
  37. 37.Solve: p/3 + 20 = 23. What is p?
  38. 38.Solve: 2t + 15 = 43. What is t?
  39. 39.Solve: 5(x + 9) = 105. What is x?
  40. 40.Solve: 4t − 12 = 28. What is t?

Answer key

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

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