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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 875 · 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: 7x + 24 = 87. What is x?
  2. 2.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 56 years. How old is Lakshmi?
  3. 3.Priya thinks of a number, multiplies it by 3 and then adds 13. The result is 19. What is the number?
  4. 4.Solve: p/2 + 1 = 2. What is p?
  5. 5.Solve: 6y + 4 = 88. What is y?
  6. 6.Solve: p/5 + 17 = 31. What is p?
  7. 7.Arjun thinks of a number, multiplies it by 3 and then adds 10. The result is 46. What is the number?
  8. 8.Solve: 4(y + 2) = 24. What is y?
  9. 9.Ananya’s mother is twice as old as Ananya. Their ages add up to 21 years. How old is Ananya?
  10. 10.Solve: 9(x + 8) = 198. What is x?
  11. 11.Solve: 9y + 20 = 29. What is y?
  12. 12.Solve: 4(p + 6) = 76. What is p?
  13. 13.Rohan’s mother is three times as old as Rohan. Their ages add up to 48 years. How old is Rohan?
  14. 14.Solve: 8(y + 1) = 96. What is y?
  15. 15.Solve: 3(t + 7) = 60. What is t?
  16. 16.Solve: 5m + 7 = 42. What is m?
  17. 17.Diya thinks of a number, multiplies it by 8 and then adds 4. The result is 60. What is the number?
  18. 18.Solve: 8(x + 6) = 128. What is x?
  19. 19.Solve: 2(p + 6) = 38. What is p?
  20. 20.Solve: p/5 + 20 = 27. What is p?
  21. 21.Aarav thinks of a number, multiplies it by 6 and then adds 23. The result is 65. What is the number?
  22. 22.Solve: 9(y + 5) = 108. What is y?
  23. 23.Solve: 2(n + 7) = 40. What is n?
  24. 24.Solve: t/4 + 2 = 15. What is t?
  25. 25.Kavya thinks of a number, multiplies it by 9 and then adds 8. The result is 80. What is the number?
  26. 26.Solve: 8(n + 7) = 120. What is n?
  27. 27.Kabir thinks of a number, multiplies it by 6 and then adds 11. The result is 29. What is the number?
  28. 28.Solve: 5x − 4 = 6. What is x?
  29. 29.Solve: m/7 + 13 = 23. What is m?
  30. 30.Solve: 5(p + 1) = 10. What is p?
  31. 31.Zoya thinks of a number, multiplies it by 8 and then adds 4. The result is 84. What is the number?
  32. 32.Tara thinks of a number, multiplies it by 8 and then adds 7. The result is 111. What is the number?
  33. 33.Solve: 3y − 4 = 26. What is y?
  34. 34.Meera thinks of a number, multiplies it by 7 and then adds 2. The result is 86. What is the number?
  35. 35.Solve: x/5 + 20 = 23. What is x?
  36. 36.Solve: 8(y + 6) = 96. What is y?
  37. 37.Aarav is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  38. 38.Solve: 4x + 29 = 45. What is x?
  39. 39.Solve: 3m + 14 = 23. What is m?
  40. 40.Solve: 7t − 75 = 23. What is t?

Answer key

  1. 9
  2. 14
  3. 2
  4. 2
  5. 14
  6. 70
  7. 12
  8. 4
  9. 7
  10. 14
  11. 1
  12. 13
  13. 12
  14. 11
  15. 13
  16. 7
  17. 7
  18. 10
  19. 13
  20. 35
  21. 7
  22. 7
  23. 13
  24. 52
  25. 8
  26. 8
  27. 3
  28. 2
  29. 70
  30. 1
  31. 10
  32. 13
  33. 10
  34. 12
  35. 15
  36. 6
  37. 11
  38. 4
  39. 3
  40. 14

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