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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 491 · 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: 4t + 30 = 66. What is t?
  2. 2.Solve: y/2 + 6 = 7. What is y?
  3. 3.Solve: m/7 + 13 = 26. What is m?
  4. 4.Solve: 7x − 6 = 43. What is x?
  5. 5.Solve: n/2 + 11 = 22. What is n?
  6. 6.Isha is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Sneha’s mother is twice as old as Sneha. Their ages add up to 27 years. How old is Sneha?
  8. 8.Solve: 5y − 14 = 1. What is y?
  9. 9.Solve: 7n − 6 = 43. What is n?
  10. 10.Solve: p/2 + 2 = 3. What is p?
  11. 11.Solve: p/8 + 18 = 22. What is p?
  12. 12.Solve: 7x + 3 = 108. What is x?
  13. 13.Solve: t/4 + 9 = 13. What is t?
  14. 14.Solve: 6n − 1 = 5. What is n?
  15. 15.Kabir thinks of a number, multiplies it by 7 and then adds 27. The result is 90. What is the number?
  16. 16.Solve: y/2 + 5 = 12. What is y?
  17. 17.Solve: y/6 + 11 = 12. What is y?
  18. 18.Saanvi is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  19. 19.Solve: 4m + 26 = 86. What is m?
  20. 20.Solve: 9(y + 3) = 36. What is y?
  21. 21.Priya thinks of a number, multiplies it by 2 and then adds 11. The result is 17. What is the number?
  22. 22.Ananya thinks of a number, multiplies it by 5 and then adds 17. The result is 42. What is the number?
  23. 23.Solve: 3(p + 1) = 27. What is p?
  24. 24.Solve: 7p + 14 = 63. What is p?
  25. 25.Solve: x/8 + 15 = 18. What is x?
  26. 26.Saanvi thinks of a number, multiplies it by 7 and then adds 12. The result is 54. What is the number?
  27. 27.Solve: 7x − 54 = 23. What is x?
  28. 28.Solve: 3x − 13 = 11. What is x?
  29. 29.Solve: 5m + 14 = 69. What is m?
  30. 30.Solve: t/2 + 2 = 11. What is t?
  31. 31.Ananya thinks of a number, multiplies it by 7 and then adds 19. The result is 33. What is the number?
  32. 32.Solve: 6(p + 1) = 96. What is p?
  33. 33.Solve: 3t − 30 = 12. What is t?
  34. 34.Solve: t/5 + 12 = 14. What is t?
  35. 35.Solve: 6y + 29 = 101. What is y?
  36. 36.Solve: n/5 + 4 = 10. What is n?
  37. 37.Solve: y/5 + 2 = 5. What is y?
  38. 38.Solve: 6n + 2 = 80. What is n?
  39. 39.Solve: 4x + 13 = 29. What is x?
  40. 40.Diya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?

Answer key

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

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