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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 888 · 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.Arjun thinks of a number, multiplies it by 8 and then adds 17. The result is 97. What is the number?
  2. 2.Manav thinks of a number, multiplies it by 2 and then adds 2. The result is 6. What is the number?
  3. 3.Solve: 5m − 44 = 11. What is m?
  4. 4.Solve: 9n + 3 = 48. What is n?
  5. 5.Solve: 3t + 26 = 35. What is t?
  6. 6.Solve: 7x − 1 = 6. What is x?
  7. 7.Solve: 2p + 28 = 58. What is p?
  8. 8.Solve: 7y − 10 = 95. What is y?
  9. 9.Solve: m/4 + 2 = 17. What is m?
  10. 10.Solve: t/5 + 2 = 10. What is t?
  11. 11.Kabir’s mother is three times as old as Kabir. Their ages add up to 20 years. How old is Kabir?
  12. 12.Solve: 3y − 1 = 2. What is y?
  13. 13.Solve: 6t + 19 = 37. What is t?
  14. 14.Ananya thinks of a number, multiplies it by 9 and then adds 11. The result is 137. What is the number?
  15. 15.Meera is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  16. 16.Solve: 9(x + 1) = 45. What is x?
  17. 17.Zoya’s mother is twice as old as Zoya. Their ages add up to 18 years. How old is Zoya?
  18. 18.Solve: x/4 + 6 = 9. What is x?
  19. 19.Solve: 3m − 4 = 2. What is m?
  20. 20.Solve: 4y + 5 = 65. What is y?
  21. 21.Ananya thinks of a number, multiplies it by 9 and then adds 16. The result is 106. What is the number?
  22. 22.Solve: 3m + 18 = 54. What is m?
  23. 23.Tara thinks of a number, multiplies it by 3 and then adds 30. The result is 39. What is the number?
  24. 24.Solve: 9(t + 3) = 90. What is t?
  25. 25.Solve: 2x − 7 = 7. What is x?
  26. 26.Kavya thinks of a number, multiplies it by 2 and then adds 13. The result is 29. What is the number?
  27. 27.Aarav thinks of a number, multiplies it by 9 and then adds 13. The result is 112. What is the number?
  28. 28.Saanvi is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  29. 29.Solve: 4x − 2 = 6. What is x?
  30. 30.Pooja thinks of a number, multiplies it by 4 and then adds 7. The result is 59. What is the number?
  31. 31.Solve: 8x + 18 = 98. What is x?
  32. 32.Solve: t/9 + 16 = 26. What is t?
  33. 33.Solve: y/8 + 11 = 16. What is y?
  34. 34.Solve: 5(m + 2) = 40. What is m?
  35. 35.Solve: 4(y + 3) = 52. What is y?
  36. 36.Solve: 6y + 5 = 77. What is y?
  37. 37.Lakshmi thinks of a number, multiplies it by 2 and then adds 29. The result is 39. What is the number?
  38. 38.Solve: 3m + 1 = 13. What is m?
  39. 39.Ishaan is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  40. 40.Tara’s mother is three times as old as Tara. Their ages add up to 16 years. How old is Tara?

Answer key

  1. 10
  2. 2
  3. 11
  4. 5
  5. 3
  6. 1
  7. 15
  8. 15
  9. 60
  10. 40
  11. 5
  12. 1
  13. 3
  14. 14
  15. 9
  16. 4
  17. 6
  18. 12
  19. 2
  20. 15
  21. 10
  22. 12
  23. 3
  24. 7
  25. 7
  26. 8
  27. 11
  28. 8
  29. 2
  30. 13
  31. 10
  32. 90
  33. 40
  34. 6
  35. 10
  36. 12
  37. 5
  38. 4
  39. 8
  40. 4

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