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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 228 · 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: 2n + 7 = 27. What is n?
  2. 2.Solve: 4y + 7 = 15. What is y?
  3. 3.Solve: y/6 + 19 = 20. What is y?
  4. 4.Solve: 2(m + 1) = 20. What is m?
  5. 5.Riya’s mother is twice as old as Riya. Their ages add up to 27 years. How old is Riya?
  6. 6.Solve: 9x − 6 = 111. What is x?
  7. 7.Solve: 2(p + 5) = 26. What is p?
  8. 8.Solve: 3y + 12 = 24. What is y?
  9. 9.Solve: 6(y + 8) = 72. What is y?
  10. 10.Solve: 9y + 23 = 59. What is y?
  11. 11.Solve: 5(x + 2) = 35. What is x?
  12. 12.Solve: 2n + 21 = 33. What is n?
  13. 13.Solve: 7t + 8 = 29. What is t?
  14. 14.Solve: 2n + 11 = 39. What is n?
  15. 15.Riya thinks of a number, multiplies it by 2 and then adds 9. The result is 21. What is the number?
  16. 16.Solve: p/5 + 2 = 11. What is p?
  17. 17.Aditya thinks of a number, multiplies it by 7 and then adds 29. The result is 64. What is the number?
  18. 18.Zoya thinks of a number, multiplies it by 3 and then adds 25. The result is 43. What is the number?
  19. 19.Solve: p/5 + 1 = 7. What is p?
  20. 20.Diya thinks of a number, multiplies it by 2 and then adds 21. The result is 25. What is the number?
  21. 21.Solve: 5x − 18 = 7. What is x?
  22. 22.Meera thinks of a number, multiplies it by 4 and then adds 2. The result is 42. What is the number?
  23. 23.Sneha thinks of a number, multiplies it by 9 and then adds 14. The result is 95. What is the number?
  24. 24.Solve: 5n + 9 = 24. What is n?
  25. 25.Diya’s mother is three times as old as Diya. Their ages add up to 48 years. How old is Diya?
  26. 26.Rohan thinks of a number, multiplies it by 4 and then adds 5. The result is 33. What is the number?
  27. 27.Solve: 2m − 2 = 14. What is m?
  28. 28.Solve: 3n + 20 = 47. What is n?
  29. 29.Solve: 6y − 8 = 16. What is y?
  30. 30.Solve: 3t − 38 = 7. What is t?
  31. 31.Solve: 5p + 20 = 70. What is p?
  32. 32.Isha is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Sneha thinks of a number, multiplies it by 4 and then adds 19. The result is 59. What is the number?
  34. 34.Lakshmi thinks of a number, multiplies it by 5 and then adds 5. The result is 40. What is the number?
  35. 35.Solve: 6(n + 2) = 42. What is n?
  36. 36.Solve: 9t + 24 = 69. What is t?
  37. 37.Solve: t/2 + 7 = 11. What is t?
  38. 38.Solve: 3(p + 7) = 45. What is p?
  39. 39.Saanvi thinks of a number, multiplies it by 4 and then adds 26. The result is 86. What is the number?
  40. 40.Zoya thinks of a number, multiplies it by 6 and then adds 16. The result is 22. What is the number?

Answer key

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

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