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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 866 · 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: 7m + 18 = 81. What is m?
  2. 2.Solve: 6n − 48 = 6. What is n?
  3. 3.Solve: 5m − 12 = 3. What is m?
  4. 4.Solve: 9x + 5 = 59. What is x?
  5. 5.Solve: 8p − 91 = 29. What is p?
  6. 6.Solve: n/5 + 9 = 10. What is n?
  7. 7.Solve: 5y + 15 = 20. What is y?
  8. 8.Solve: 2(m + 5) = 28. What is m?
  9. 9.Gurpreet thinks of a number, multiplies it by 7 and then adds 15. The result is 71. What is the number?
  10. 10.Zoya thinks of a number, multiplies it by 5 and then adds 30. The result is 55. What is the number?
  11. 11.Solve: 2(t + 5) = 38. What is t?
  12. 12.Kabir thinks of a number, multiplies it by 6 and then adds 23. The result is 47. What is the number?
  13. 13.Solve: 9t + 12 = 120. What is t?
  14. 14.Solve: 6x − 46 = 32. What is x?
  15. 15.Solve: 7p + 1 = 50. What is p?
  16. 16.Solve: 4m + 21 = 69. What is m?
  17. 17.Sneha’s mother is twice as old as Sneha. Their ages add up to 42 years. How old is Sneha?
  18. 18.Solve: 7t + 9 = 114. What is t?
  19. 19.Pooja thinks of a number, multiplies it by 8 and then adds 21. The result is 69. What is the number?
  20. 20.Riya’s mother is four times as old as Riya. Their ages add up to 65 years. How old is Riya?
  21. 21.Solve: p/3 + 9 = 23. What is p?
  22. 22.Solve: 2n + 9 = 31. What is n?
  23. 23.Priya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  24. 24.Solve: p/5 + 2 = 6. What is p?
  25. 25.Solve: 9x − 16 = 20. What is x?
  26. 26.Solve: 3t − 4 = 8. What is t?
  27. 27.Rahul is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  28. 28.Solve: 7y − 52 = 11. What is y?
  29. 29.Solve: m/4 + 9 = 15. What is m?
  30. 30.Nisha thinks of a number, multiplies it by 9 and then adds 25. The result is 106. What is the number?
  31. 31.Rohan thinks of a number, multiplies it by 3 and then adds 29. The result is 32. What is the number?
  32. 32.Tara’s mother is four times as old as Tara. Their ages add up to 35 years. How old is Tara?
  33. 33.Solve: 4n + 20 = 68. What is n?
  34. 34.Solve: y/5 + 14 = 18. What is y?
  35. 35.Solve: 3(t + 4) = 21. What is t?
  36. 36.Solve: 5t − 42 = 23. What is t?
  37. 37.Solve: 9(x + 5) = 117. What is x?
  38. 38.Rohan is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  39. 39.Solve: 2y + 30 = 56. What is y?
  40. 40.Solve: 9(x + 2) = 117. What is x?

Answer key

  1. 9
  2. 9
  3. 3
  4. 6
  5. 15
  6. 5
  7. 1
  8. 9
  9. 8
  10. 5
  11. 14
  12. 4
  13. 12
  14. 13
  15. 7
  16. 12
  17. 14
  18. 15
  19. 6
  20. 13
  21. 42
  22. 11
  23. 11
  24. 20
  25. 4
  26. 4
  27. 8
  28. 9
  29. 24
  30. 9
  31. 1
  32. 7
  33. 12
  34. 20
  35. 3
  36. 13
  37. 8
  38. 15
  39. 13
  40. 11

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