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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 4 · 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: t/3 + 2 = 11. What is t?
  2. 2.Solve: m/3 + 9 = 15. What is m?
  3. 3.Solve: 5(p + 1) = 30. What is p?
  4. 4.Solve: 8n + 14 = 126. What is n?
  5. 5.Solve: 4x + 7 = 47. What is x?
  6. 6.Solve: 6(x + 7) = 90. What is x?
  7. 7.Meera is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  8. 8.Solve: p/9 + 5 = 6. What is p?
  9. 9.Ananya thinks of a number, multiplies it by 4 and then adds 1. The result is 57. What is the number?
  10. 10.Solve: 2t − 2 = 2. What is t?
  11. 11.Solve: y/8 + 17 = 26. What is y?
  12. 12.Nisha thinks of a number, multiplies it by 5 and then adds 11. The result is 16. What is the number?
  13. 13.Kabir is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  14. 14.Solve: 7(t + 4) = 56. What is t?
  15. 15.Zoya thinks of a number, multiplies it by 6 and then adds 17. The result is 29. What is the number?
  16. 16.Rohan is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  17. 17.Solve: 5(y + 6) = 65. What is y?
  18. 18.Solve: 2(n + 7) = 36. What is n?
  19. 19.Meera’s mother is four times as old as Meera. Their ages add up to 30 years. How old is Meera?
  20. 20.Solve: 7p − 12 = 93. What is p?
  21. 21.Ananya thinks of a number, multiplies it by 8 and then adds 24. The result is 136. What is the number?
  22. 22.Priya’s mother is three times as old as Priya. Their ages add up to 24 years. How old is Priya?
  23. 23.Karan thinks of a number, multiplies it by 7 and then adds 22. The result is 50. What is the number?
  24. 24.Solve: n/9 + 15 = 21. What is n?
  25. 25.Solve: n/9 + 13 = 25. What is n?
  26. 26.Solve: x/3 + 1 = 4. What is x?
  27. 27.Solve: 8y + 8 = 48. What is y?
  28. 28.Rahul thinks of a number, multiplies it by 3 and then adds 4. The result is 13. What is the number?
  29. 29.Solve: 5n + 18 = 43. What is n?
  30. 30.Solve: t/2 + 7 = 22. What is t?
  31. 31.Solve: 2(p + 9) = 44. What is p?
  32. 32.Solve: 6m − 25 = 65. What is m?
  33. 33.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  34. 34.Gurpreet thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
  35. 35.Solve: 8x − 6 = 106. What is x?
  36. 36.Solve: t/9 + 6 = 20. What is t?
  37. 37.Solve: 9(p + 1) = 27. What is p?
  38. 38.Solve: 2n + 9 = 31. What is n?
  39. 39.Solve: n/3 + 4 = 14. What is n?
  40. 40.Solve: 2x + 28 = 32. What is x?

Answer key

  1. 27
  2. 18
  3. 5
  4. 14
  5. 10
  6. 8
  7. 9
  8. 9
  9. 14
  10. 2
  11. 72
  12. 1
  13. 6
  14. 4
  15. 2
  16. 5
  17. 7
  18. 11
  19. 6
  20. 15
  21. 14
  22. 6
  23. 4
  24. 54
  25. 108
  26. 9
  27. 5
  28. 3
  29. 5
  30. 30
  31. 13
  32. 15
  33. 6
  34. 1
  35. 14
  36. 126
  37. 2
  38. 11
  39. 30
  40. 2

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