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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 420 · 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 − 3 = 33. What is y?
  2. 2.Solve: 7x + 25 = 39. What is x?
  3. 3.Solve: 7p − 7 = 63. What is p?
  4. 4.Meera thinks of a number, multiplies it by 6 and then adds 9. The result is 87. What is the number?
  5. 5.Solve: 3(p + 2) = 18. What is p?
  6. 6.Solve: 4t + 29 = 69. What is t?
  7. 7.Solve: 6m − 20 = 16. What is m?
  8. 8.Solve: 3x + 18 = 48. What is x?
  9. 9.Solve: 3m − 1 = 5. What is m?
  10. 10.Solve: y/9 + 18 = 21. What is y?
  11. 11.Dev thinks of a number, multiplies it by 3 and then adds 10. The result is 52. What is the number?
  12. 12.Solve: 3x + 27 = 63. What is x?
  13. 13.Solve: 7(y + 9) = 161. What is y?
  14. 14.Solve: 4x + 21 = 45. What is x?
  15. 15.Solve: n/7 + 7 = 20. What is n?
  16. 16.Solve: p/9 + 10 = 11. What is p?
  17. 17.Solve: 3m − 19 = 11. What is m?
  18. 18.Lakshmi thinks of a number, multiplies it by 9 and then adds 25. The result is 70. What is the number?
  19. 19.Solve: 6p + 8 = 68. What is p?
  20. 20.Solve: 4(p + 2) = 40. What is p?
  21. 21.Nisha is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  22. 22.Riya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  23. 23.Solve: 2p − 6 = 18. What is p?
  24. 24.Solve: 2p − 4 = 2. What is p?
  25. 25.Solve: n/2 + 20 = 30. What is n?
  26. 26.Solve: 9p + 30 = 39. What is p?
  27. 27.Solve: x/9 + 7 = 13. What is x?
  28. 28.Solve: 8(y + 2) = 104. What is y?
  29. 29.Solve: 2(x + 7) = 22. What is x?
  30. 30.Solve: 8(y + 3) = 80. What is y?
  31. 31.Riya’s mother is four times as old as Riya. Their ages add up to 30 years. How old is Riya?
  32. 32.Ananya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  33. 33.Solve: 2(p + 7) = 42. What is p?
  34. 34.Solve: 6(p + 3) = 102. What is p?
  35. 35.Solve: 2t − 3 = 21. What is t?
  36. 36.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 55 years. How old is Lakshmi?
  37. 37.Solve: 2(y + 9) = 26. What is y?
  38. 38.Diya thinks of a number, multiplies it by 4 and then adds 21. The result is 33. What is the number?
  39. 39.Solve: 4n + 9 = 17. What is n?
  40. 40.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 60 years. How old is Vivaan?

Answer key

  1. 12
  2. 2
  3. 10
  4. 13
  5. 4
  6. 10
  7. 6
  8. 10
  9. 2
  10. 27
  11. 14
  12. 12
  13. 14
  14. 6
  15. 91
  16. 9
  17. 10
  18. 5
  19. 10
  20. 8
  21. 12
  22. 4
  23. 12
  24. 3
  25. 20
  26. 1
  27. 54
  28. 11
  29. 4
  30. 7
  31. 6
  32. 11
  33. 14
  34. 14
  35. 12
  36. 11
  37. 4
  38. 3
  39. 2
  40. 15

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