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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 725 · 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: 5m + 16 = 41. What is m?
  2. 2.Solve: 4n − 34 = 18. What is n?
  3. 3.Solve: p/7 + 14 = 29. What is p?
  4. 4.Solve: p/8 + 18 = 24. What is p?
  5. 5.Solve: y/5 + 19 = 24. What is y?
  6. 6.Solve: 6y + 11 = 65. What is y?
  7. 7.Solve: x/2 + 12 = 26. What is x?
  8. 8.Solve: 7(x + 1) = 42. What is x?
  9. 9.Solve: 6(n + 4) = 84. What is n?
  10. 10.Solve: 4n − 12 = 36. What is n?
  11. 11.Solve: 4t − 35 = 5. What is t?
  12. 12.Solve: p/4 + 20 = 25. What is p?
  13. 13.Solve: 5(n + 2) = 35. What is n?
  14. 14.Ishaan thinks of a number, multiplies it by 4 and then adds 9. The result is 37. What is the number?
  15. 15.Solve: 9x − 56 = 70. What is x?
  16. 16.Solve: n/2 + 15 = 22. What is n?
  17. 17.Solve: p/2 + 16 = 19. What is p?
  18. 18.Solve: 8p − 54 = 58. What is p?
  19. 19.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 52 years. How old is Vivaan?
  20. 20.Gurpreet is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  21. 21.Solve: 9t + 7 = 88. What is t?
  22. 22.Solve: p/5 + 2 = 6. What is p?
  23. 23.Ananya’s mother is twice as old as Ananya. Their ages add up to 24 years. How old is Ananya?
  24. 24.Solve: 2x − 9 = 19. What is x?
  25. 25.Solve: 2x − 2 = 6. What is x?
  26. 26.Solve: 6m + 24 = 96. What is m?
  27. 27.Solve: 2(y + 1) = 4. What is y?
  28. 28.Solve: 3x + 29 = 44. What is x?
  29. 29.Solve: 6n − 8 = 52. What is n?
  30. 30.Solve: m/6 + 9 = 15. What is m?
  31. 31.Solve: 5y + 28 = 48. What is y?
  32. 32.Arjun is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  33. 33.Solve: x/2 + 18 = 20. What is x?
  34. 34.Sneha is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  35. 35.Kabir is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  36. 36.Solve: n/8 + 14 = 17. What is n?
  37. 37.Solve: 3(m + 1) = 9. What is m?
  38. 38.Meera thinks of a number, multiplies it by 4 and then adds 10. The result is 18. What is the number?
  39. 39.Solve: 2(t + 6) = 38. What is t?
  40. 40.Rohan thinks of a number, multiplies it by 9 and then adds 30. The result is 165. What is the number?

Answer key

  1. 5
  2. 13
  3. 105
  4. 48
  5. 25
  6. 9
  7. 28
  8. 5
  9. 10
  10. 12
  11. 10
  12. 20
  13. 5
  14. 7
  15. 14
  16. 14
  17. 6
  18. 14
  19. 13
  20. 11
  21. 9
  22. 20
  23. 8
  24. 14
  25. 4
  26. 12
  27. 1
  28. 5
  29. 10
  30. 36
  31. 4
  32. 13
  33. 4
  34. 7
  35. 11
  36. 24
  37. 2
  38. 2
  39. 13
  40. 15

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