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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 724 · 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.Riya thinks of a number, multiplies it by 3 and then adds 4. The result is 13. What is the number?
  2. 2.Solve: p/2 + 16 = 20. What is p?
  3. 3.Kabir is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  4. 4.Solve: 8m + 25 = 33. What is m?
  5. 5.Arjun is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  6. 6.Solve: 9(m + 5) = 54. What is m?
  7. 7.Solve: 4p + 1 = 41. What is p?
  8. 8.Solve: 4n + 9 = 25. What is n?
  9. 9.Solve: 8y − 5 = 3. What is y?
  10. 10.Solve: 4(p + 6) = 68. What is p?
  11. 11.Solve: y/4 + 7 = 15. What is y?
  12. 12.Solve: 3y − 24 = 9. What is y?
  13. 13.Solve: 2t − 7 = 23. What is t?
  14. 14.Ishaan thinks of a number, multiplies it by 2 and then adds 15. The result is 43. What is the number?
  15. 15.Solve: x/3 + 9 = 12. What is x?
  16. 16.Solve: 4t − 18 = 10. What is t?
  17. 17.Solve: 4t + 29 = 81. What is t?
  18. 18.Pooja’s mother is twice as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  19. 19.Solve: 9t + 8 = 89. What is t?
  20. 20.Saanvi thinks of a number, multiplies it by 2 and then adds 28. The result is 52. What is the number?
  21. 21.Solve: 9x + 17 = 143. What is x?
  22. 22.Rohan is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  23. 23.Solve: 9(m + 4) = 81. What is m?
  24. 24.Aditya thinks of a number, multiplies it by 7 and then adds 13. The result is 111. What is the number?
  25. 25.Solve: 3y − 5 = 1. What is y?
  26. 26.Solve: 8(x + 6) = 152. What is x?
  27. 27.Solve: 6n + 19 = 97. What is n?
  28. 28.Solve: n/8 + 19 = 20. What is n?
  29. 29.Solve: 2p + 26 = 56. What is p?
  30. 30.Solve: 3(y + 2) = 18. What is y?
  31. 31.Solve: 3x + 2 = 35. What is x?
  32. 32.Solve: 4n + 1 = 33. What is n?
  33. 33.Solve: 4(y + 9) = 76. What is y?
  34. 34.Vivaan is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  35. 35.Kabir thinks of a number, multiplies it by 6 and then adds 29. The result is 89. What is the number?
  36. 36.Solve: 2y + 30 = 32. What is y?
  37. 37.Solve: 7y + 13 = 76. What is y?
  38. 38.Solve: m/4 + 2 = 9. What is m?
  39. 39.Solve: 8m + 4 = 92. What is m?
  40. 40.Solve: 2p + 17 = 33. What is p?

Answer key

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

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