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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 335 · 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: p/7 + 15 = 22. What is p?
  2. 2.Solve: y/7 + 4 = 15. What is y?
  3. 3.Saanvi is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  4. 4.Kabir is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  5. 5.Solve: 8n + 19 = 131. What is n?
  6. 6.Solve: 5(x + 2) = 15. What is x?
  7. 7.Solve: 2(m + 3) = 14. What is m?
  8. 8.Solve: 4y − 31 = 13. What is y?
  9. 9.Saanvi thinks of a number, multiplies it by 9 and then adds 11. The result is 146. What is the number?
  10. 10.Solve: 4(t + 7) = 32. What is t?
  11. 11.Solve: 7(x + 4) = 49. What is x?
  12. 12.Solve: 3n − 1 = 2. What is n?
  13. 13.Solve: 7(t + 1) = 56. What is t?
  14. 14.Solve: 8m + 20 = 116. What is m?
  15. 15.Solve: 2(n + 6) = 14. What is n?
  16. 16.Solve: 6m + 30 = 54. What is m?
  17. 17.Solve: 6t − 21 = 9. What is t?
  18. 18.Solve: 2x − 12 = 2. What is x?
  19. 19.Solve: 2t + 26 = 54. What is t?
  20. 20.Solve: 4y + 20 = 44. What is y?
  21. 21.Solve: 5x + 11 = 71. What is x?
  22. 22.Lakshmi is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  23. 23.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 40 years. How old is Ishaan?
  24. 24.Solve: t/5 + 19 = 21. What is t?
  25. 25.Solve: 9x − 49 = 23. What is x?
  26. 26.Rahul’s mother is three times as old as Rahul. Their ages add up to 28 years. How old is Rahul?
  27. 27.Solve: n/3 + 18 = 24. What is n?
  28. 28.Solve: n/2 + 3 = 5. What is n?
  29. 29.Aarav is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  30. 30.Solve: 4n + 9 = 29. What is n?
  31. 31.Solve: 4x − 30 = 10. What is x?
  32. 32.Diya is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  33. 33.Solve: t/5 + 11 = 23. What is t?
  34. 34.Kabir thinks of a number, multiplies it by 7 and then adds 30. The result is 58. What is the number?
  35. 35.Solve: 2m − 1 = 1. What is m?
  36. 36.Solve: 6(y + 8) = 54. What is y?
  37. 37.Farhan thinks of a number, multiplies it by 8 and then adds 28. The result is 140. What is the number?
  38. 38.Solve: 4y + 10 = 38. What is y?
  39. 39.Solve: t/9 + 18 = 23. What is t?
  40. 40.Kabir’s mother is three times as old as Kabir. Their ages add up to 28 years. How old is Kabir?

Answer key

  1. 49
  2. 77
  3. 4
  4. 13
  5. 14
  6. 1
  7. 4
  8. 11
  9. 15
  10. 1
  11. 3
  12. 1
  13. 7
  14. 12
  15. 1
  16. 4
  17. 5
  18. 7
  19. 14
  20. 6
  21. 12
  22. 15
  23. 10
  24. 10
  25. 8
  26. 7
  27. 18
  28. 4
  29. 4
  30. 5
  31. 10
  32. 12
  33. 60
  34. 4
  35. 1
  36. 1
  37. 14
  38. 7
  39. 45
  40. 7

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