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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 870 · 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.Rohan’s mother is three times as old as Rohan. Their ages add up to 56 years. How old is Rohan?
  2. 2.Solve: 4y − 1 = 35. What is y?
  3. 3.Solve: 2(y + 2) = 16. What is y?
  4. 4.Solve: p/9 + 2 = 3. What is p?
  5. 5.Solve: 7x − 94 = 11. What is x?
  6. 6.Solve: x/8 + 16 = 26. What is x?
  7. 7.Solve: 7(y + 6) = 105. What is y?
  8. 8.Solve: p/5 + 20 = 35. What is p?
  9. 9.Solve: 8x − 3 = 13. What is x?
  10. 10.Solve: 6(n + 6) = 60. What is n?
  11. 11.Priya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  12. 12.Solve: 3t − 11 = 22. What is t?
  13. 13.Solve: 6y + 1 = 73. What is y?
  14. 14.Solve: 6y + 20 = 56. What is y?
  15. 15.Nisha is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  16. 16.Solve: 3x + 3 = 15. What is x?
  17. 17.Solve: 8t − 21 = 51. What is t?
  18. 18.Solve: 6x + 3 = 21. What is x?
  19. 19.Karan thinks of a number, multiplies it by 7 and then adds 18. The result is 46. What is the number?
  20. 20.Zoya thinks of a number, multiplies it by 7 and then adds 12. The result is 89. What is the number?
  21. 21.Solve: 9y + 9 = 81. What is y?
  22. 22.Farhan thinks of a number, multiplies it by 7 and then adds 11. The result is 32. What is the number?
  23. 23.Solve: n/9 + 6 = 7. What is n?
  24. 24.Tara’s mother is twice as old as Tara. Their ages add up to 15 years. How old is Tara?
  25. 25.Solve: 7(t + 9) = 91. What is t?
  26. 26.Solve: n/7 + 6 = 9. What is n?
  27. 27.Solve: 4(x + 1) = 28. What is x?
  28. 28.Joseph is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  29. 29.Ishaan thinks of a number, multiplies it by 9 and then adds 9. The result is 18. What is the number?
  30. 30.Solve: 4p − 13 = 3. What is p?
  31. 31.Ananya’s mother is four times as old as Ananya. Their ages add up to 50 years. How old is Ananya?
  32. 32.Solve: 7t + 25 = 130. What is t?
  33. 33.Solve: 6x − 72 = 18. What is x?
  34. 34.Solve: p/7 + 8 = 11. What is p?
  35. 35.Solve: 3m + 2 = 47. What is m?
  36. 36.Solve: t/3 + 4 = 6. What is t?
  37. 37.Solve: 7p − 14 = 21. What is p?
  38. 38.Solve: t/7 + 2 = 4. What is t?
  39. 39.Solve: 5p + 5 = 10. What is p?
  40. 40.Solve: 3(m + 1) = 24. What is m?

Answer key

  1. 14
  2. 9
  3. 6
  4. 9
  5. 15
  6. 80
  7. 9
  8. 75
  9. 2
  10. 4
  11. 13
  12. 11
  13. 12
  14. 6
  15. 14
  16. 4
  17. 9
  18. 3
  19. 4
  20. 11
  21. 8
  22. 3
  23. 9
  24. 5
  25. 4
  26. 21
  27. 6
  28. 15
  29. 1
  30. 4
  31. 10
  32. 15
  33. 15
  34. 21
  35. 15
  36. 6
  37. 5
  38. 14
  39. 1
  40. 7

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