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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 428 · 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: p/3 + 10 = 17. What is p?
  2. 2.Solve: 4(x + 8) = 36. What is x?
  3. 3.Sneha thinks of a number, multiplies it by 7 and then adds 20. The result is 41. What is the number?
  4. 4.Solve: 6y − 87 = 3. What is y?
  5. 5.Solve: p/3 + 13 = 28. What is p?
  6. 6.Solve: 8x − 9 = 7. What is x?
  7. 7.Solve: 8n + 8 = 88. What is n?
  8. 8.Gurpreet thinks of a number, multiplies it by 2 and then adds 27. The result is 43. What is the number?
  9. 9.Solve: 5x − 27 = 13. What is x?
  10. 10.Solve: 4(m + 6) = 32. What is m?
  11. 11.Solve: 6x + 28 = 58. What is x?
  12. 12.Rohan thinks of a number, multiplies it by 4 and then adds 8. The result is 48. What is the number?
  13. 13.Vivaan thinks of a number, multiplies it by 5 and then adds 12. The result is 57. What is the number?
  14. 14.Manav’s mother is four times as old as Manav. Their ages add up to 60 years. How old is Manav?
  15. 15.Diya thinks of a number, multiplies it by 8 and then adds 4. The result is 68. What is the number?
  16. 16.Solve: t/7 + 15 = 18. What is t?
  17. 17.Ananya thinks of a number, multiplies it by 3 and then adds 18. The result is 63. What is the number?
  18. 18.Solve: m/7 + 4 = 7. What is m?
  19. 19.Solve: p/4 + 18 = 23. What is p?
  20. 20.Solve: 6p + 27 = 39. What is p?
  21. 21.Kabir thinks of a number, multiplies it by 5 and then adds 9. The result is 39. What is the number?
  22. 22.Isha thinks of a number, multiplies it by 6 and then adds 4. The result is 64. What is the number?
  23. 23.Solve: 5(m + 1) = 65. What is m?
  24. 24.Solve: p/7 + 15 = 25. What is p?
  25. 25.Solve: 7x − 16 = 26. What is x?
  26. 26.Manav thinks of a number, multiplies it by 6 and then adds 4. The result is 52. What is the number?
  27. 27.Meera thinks of a number, multiplies it by 4 and then adds 11. The result is 59. What is the number?
  28. 28.Solve: 3(y + 1) = 21. What is y?
  29. 29.Solve: 2(m + 9) = 32. What is m?
  30. 30.Solve: 9p − 28 = 17. What is p?
  31. 31.Manav is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  32. 32.Dev thinks of a number, multiplies it by 2 and then adds 8. The result is 36. What is the number?
  33. 33.Solve: 2m + 7 = 17. What is m?
  34. 34.Kavya thinks of a number, multiplies it by 8 and then adds 15. The result is 55. What is the number?
  35. 35.Lakshmi is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  36. 36.Arjun is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  37. 37.Solve: y/2 + 1 = 14. What is y?
  38. 38.Solve: 3x − 3 = 3. What is x?
  39. 39.Solve: m/7 + 6 = 17. What is m?
  40. 40.Solve: 6m + 13 = 103. What is m?

Answer key

  1. 21
  2. 1
  3. 3
  4. 15
  5. 45
  6. 2
  7. 10
  8. 8
  9. 8
  10. 2
  11. 5
  12. 10
  13. 9
  14. 12
  15. 8
  16. 21
  17. 15
  18. 21
  19. 20
  20. 2
  21. 6
  22. 10
  23. 12
  24. 70
  25. 6
  26. 8
  27. 12
  28. 6
  29. 7
  30. 5
  31. 8
  32. 14
  33. 5
  34. 5
  35. 11
  36. 5
  37. 26
  38. 2
  39. 77
  40. 15

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