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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 609 · 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: 7t − 31 = 60. What is t?
  2. 2.Solve: 8m + 1 = 25. What is m?
  3. 3.Solve: p/2 + 2 = 12. What is p?
  4. 4.Solve: 2t − 8 = 18. What is t?
  5. 5.Solve: 2p + 18 = 42. What is p?
  6. 6.Solve: 9y + 5 = 50. What is y?
  7. 7.Priya’s mother is three times as old as Priya. Their ages add up to 24 years. How old is Priya?
  8. 8.Solve: 7m + 9 = 86. What is m?
  9. 9.Kavya thinks of a number, multiplies it by 6 and then adds 6. The result is 42. What is the number?
  10. 10.Rahul’s mother is three times as old as Rahul. Their ages add up to 36 years. How old is Rahul?
  11. 11.Solve: m/3 + 19 = 23. What is m?
  12. 12.Solve: y/6 + 5 = 12. What is y?
  13. 13.Solve: 8(p + 9) = 104. What is p?
  14. 14.Solve: 3p + 21 = 51. What is p?
  15. 15.Solve: t/5 + 20 = 34. What is t?
  16. 16.Karan’s mother is three times as old as Karan. Their ages add up to 20 years. How old is Karan?
  17. 17.Farhan thinks of a number, multiplies it by 2 and then adds 26. The result is 50. What is the number?
  18. 18.Solve: 8x − 1 = 39. What is x?
  19. 19.Solve: 3(x + 9) = 57. What is x?
  20. 20.Solve: 9(t + 2) = 63. What is t?
  21. 21.Rohan thinks of a number, multiplies it by 3 and then adds 22. The result is 67. What is the number?
  22. 22.Solve: 9(n + 7) = 99. What is n?
  23. 23.Solve: 3p − 5 = 10. What is p?
  24. 24.Kabir thinks of a number, multiplies it by 4 and then adds 9. The result is 57. What is the number?
  25. 25.Solve: p/8 + 7 = 11. What is p?
  26. 26.Solve: 8t + 6 = 110. What is t?
  27. 27.Solve: 5(p + 5) = 65. What is p?
  28. 28.Riya thinks of a number, multiplies it by 3 and then adds 20. The result is 35. What is the number?
  29. 29.Solve: y/6 + 2 = 3. What is y?
  30. 30.Dev thinks of a number, multiplies it by 6 and then adds 5. The result is 23. What is the number?
  31. 31.Solve: 4(n + 3) = 32. What is n?
  32. 32.Solve: 3(y + 6) = 21. What is y?
  33. 33.Solve: 3x + 3 = 18. What is x?
  34. 34.Solve: 2(n + 6) = 30. What is n?
  35. 35.Solve: 5m + 9 = 24. What is m?
  36. 36.Solve: 4(t + 3) = 16. What is t?
  37. 37.Lakshmi thinks of a number, multiplies it by 4 and then adds 26. The result is 78. What is the number?
  38. 38.Solve: 2p − 17 = 1. What is p?
  39. 39.Solve: 7(n + 6) = 91. What is n?
  40. 40.Nisha thinks of a number, multiplies it by 7 and then adds 26. The result is 117. What is the number?

Answer key

  1. 13
  2. 3
  3. 20
  4. 13
  5. 12
  6. 5
  7. 6
  8. 11
  9. 6
  10. 9
  11. 12
  12. 42
  13. 4
  14. 10
  15. 70
  16. 5
  17. 12
  18. 5
  19. 10
  20. 5
  21. 15
  22. 4
  23. 5
  24. 12
  25. 32
  26. 13
  27. 8
  28. 5
  29. 6
  30. 3
  31. 5
  32. 1
  33. 5
  34. 9
  35. 3
  36. 1
  37. 13
  38. 9
  39. 7
  40. 13

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