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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 777 · 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.Kabir thinks of a number, multiplies it by 6 and then adds 4. The result is 22. What is the number?
  2. 2.Solve: t/4 + 9 = 14. What is t?
  3. 3.Solve: 6p − 34 = 32. What is p?
  4. 4.Arjun thinks of a number, multiplies it by 7 and then adds 5. The result is 54. What is the number?
  5. 5.Solve: n/4 + 6 = 7. What is n?
  6. 6.Solve: 8y − 4 = 28. What is y?
  7. 7.Solve: 4t − 47 = 1. What is t?
  8. 8.Solve: 2p − 26 = 2. What is p?
  9. 9.Solve: x/2 + 18 = 20. What is x?
  10. 10.Solve: 4n − 1 = 7. What is n?
  11. 11.Solve: 3p − 2 = 40. What is p?
  12. 12.Solve: 3m + 10 = 31. What is m?
  13. 13.Rohan thinks of a number, multiplies it by 7 and then adds 6. The result is 20. What is the number?
  14. 14.Aarav thinks of a number, multiplies it by 7 and then adds 8. The result is 78. What is the number?
  15. 15.Solve: 7(m + 7) = 154. What is m?
  16. 16.Solve: 9(n + 2) = 36. What is n?
  17. 17.Solve: t/9 + 17 = 27. What is t?
  18. 18.Solve: 2y − 3 = 7. What is y?
  19. 19.Solve: 4(n + 1) = 36. What is n?
  20. 20.Solve: 6n + 12 = 102. What is n?
  21. 21.Solve: 9x − 51 = 21. What is x?
  22. 22.Solve: 3m + 7 = 19. What is m?
  23. 23.Solve: 8y − 48 = 48. What is y?
  24. 24.Solve: m/8 + 3 = 10. What is m?
  25. 25.Meera thinks of a number, multiplies it by 9 and then adds 21. The result is 129. What is the number?
  26. 26.Solve: 8(y + 7) = 168. What is y?
  27. 27.Pooja’s mother is twice as old as Pooja. Their ages add up to 21 years. How old is Pooja?
  28. 28.Solve: 9(x + 1) = 117. What is x?
  29. 29.Karan’s mother is three times as old as Karan. Their ages add up to 44 years. How old is Karan?
  30. 30.Solve: 4(x + 1) = 60. What is x?
  31. 31.Solve: m/5 + 12 = 21. What is m?
  32. 32.Solve: 7m + 25 = 123. What is m?
  33. 33.Solve: 5p + 20 = 35. What is p?
  34. 34.Manav is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  35. 35.Solve: 9p + 18 = 81. What is p?
  36. 36.Solve: 3(x + 9) = 60. What is x?
  37. 37.Zoya thinks of a number, multiplies it by 3 and then adds 6. The result is 42. What is the number?
  38. 38.Solve: m/6 + 13 = 18. What is m?
  39. 39.Rahul is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  40. 40.Solve: 7(m + 9) = 91. What is m?

Answer key

  1. 3
  2. 20
  3. 11
  4. 7
  5. 4
  6. 4
  7. 12
  8. 14
  9. 4
  10. 2
  11. 14
  12. 7
  13. 2
  14. 10
  15. 15
  16. 2
  17. 90
  18. 5
  19. 8
  20. 15
  21. 8
  22. 4
  23. 12
  24. 56
  25. 12
  26. 14
  27. 7
  28. 12
  29. 11
  30. 14
  31. 45
  32. 14
  33. 3
  34. 15
  35. 7
  36. 11
  37. 12
  38. 30
  39. 12
  40. 4

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