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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 221 · 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: 3p + 27 = 48. What is p?
  2. 2.Solve: 6n − 27 = 39. What is n?
  3. 3.Rahul thinks of a number, multiplies it by 8 and then adds 30. The result is 70. What is the number?
  4. 4.Solve: 4x + 30 = 62. What is x?
  5. 5.Diya thinks of a number, multiplies it by 4 and then adds 2. The result is 26. What is the number?
  6. 6.Solve: 7n − 10 = 11. What is n?
  7. 7.Solve: 4n + 19 = 63. What is n?
  8. 8.Solve: 5m + 6 = 51. What is m?
  9. 9.Aarav’s mother is three times as old as Aarav. Their ages add up to 52 years. How old is Aarav?
  10. 10.Solve: 9(y + 3) = 36. What is y?
  11. 11.Solve: 4n − 18 = 42. What is n?
  12. 12.Solve: 4(m + 6) = 60. What is m?
  13. 13.Pooja thinks of a number, multiplies it by 4 and then adds 28. The result is 36. What is the number?
  14. 14.Solve: t/2 + 9 = 12. What is t?
  15. 15.Farhan is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  16. 16.Solve: x/2 + 4 = 18. What is x?
  17. 17.Solve: 9(m + 4) = 135. What is m?
  18. 18.Tara thinks of a number, multiplies it by 6 and then adds 19. The result is 43. What is the number?
  19. 19.Rohan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  20. 20.Solve: 4x − 26 = 6. What is x?
  21. 21.Solve: 6m − 38 = 22. What is m?
  22. 22.Solve: 5(p + 4) = 25. What is p?
  23. 23.Meera’s mother is twice as old as Meera. Their ages add up to 39 years. How old is Meera?
  24. 24.Solve: t/5 + 2 = 10. What is t?
  25. 25.Solve: 9(m + 4) = 81. What is m?
  26. 26.Riya thinks of a number, multiplies it by 4 and then adds 28. The result is 76. What is the number?
  27. 27.Solve: 6x + 17 = 83. What is x?
  28. 28.Solve: 9x + 9 = 90. What is x?
  29. 29.Kabir thinks of a number, multiplies it by 3 and then adds 11. The result is 35. What is the number?
  30. 30.Riya thinks of a number, multiplies it by 2 and then adds 18. The result is 26. What is the number?
  31. 31.Solve: n/7 + 5 = 6. What is n?
  32. 32.Solve: 2(t + 9) = 24. What is t?
  33. 33.Diya thinks of a number, multiplies it by 6 and then adds 30. The result is 102. What is the number?
  34. 34.Solve: n/6 + 9 = 10. What is n?
  35. 35.Solve: x/4 + 17 = 25. What is x?
  36. 36.Solve: 6(p + 8) = 126. What is p?
  37. 37.Sneha thinks of a number, multiplies it by 8 and then adds 21. The result is 109. What is the number?
  38. 38.Solve: t/2 + 20 = 35. What is t?
  39. 39.Solve: 8n + 8 = 80. What is n?
  40. 40.Nisha is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?

Answer key

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

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