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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 454 · 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: y/2 + 6 = 7. What is y?
  2. 2.Solve: 6m − 23 = 25. What is m?
  3. 3.Solve: 5(t + 2) = 70. What is t?
  4. 4.Arjun thinks of a number, multiplies it by 2 and then adds 3. The result is 33. What is the number?
  5. 5.Solve: x/2 + 20 = 23. What is x?
  6. 6.Aarav thinks of a number, multiplies it by 9 and then adds 15. The result is 60. What is the number?
  7. 7.Solve: 2y + 7 = 15. What is y?
  8. 8.Solve: n/8 + 16 = 26. What is n?
  9. 9.Solve: n/6 + 20 = 32. What is n?
  10. 10.Solve: 2t − 5 = 1. What is t?
  11. 11.Solve: 2x − 18 = 4. What is x?
  12. 12.Solve: 2x + 20 = 46. What is x?
  13. 13.Saanvi is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Joseph thinks of a number, multiplies it by 4 and then adds 7. The result is 47. What is the number?
  15. 15.Pooja is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Solve: 3(n + 6) = 63. What is n?
  17. 17.Solve: 6x + 21 = 81. What is x?
  18. 18.Solve: 5(p + 5) = 50. What is p?
  19. 19.Kabir is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  20. 20.Solve: m/3 + 12 = 22. What is m?
  21. 21.Solve: 2x − 8 = 12. What is x?
  22. 22.Solve: m/2 + 5 = 16. What is m?
  23. 23.Solve: p/6 + 2 = 5. What is p?
  24. 24.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 33 years. How old is Lakshmi?
  25. 25.Solve: 6x + 24 = 42. What is x?
  26. 26.Solve: n/4 + 19 = 20. What is n?
  27. 27.Solve: p/7 + 2 = 6. What is p?
  28. 28.Solve: 2(m + 6) = 34. What is m?
  29. 29.Solve: 3x − 3 = 12. What is x?
  30. 30.Solve: 3m − 32 = 4. What is m?
  31. 31.Solve: 3x − 4 = 8. What is x?
  32. 32.Solve: 3t − 14 = 31. What is t?
  33. 33.Solve: 5n − 3 = 2. What is n?
  34. 34.Solve: 4t + 16 = 64. What is t?
  35. 35.Solve: x/3 + 12 = 13. What is x?
  36. 36.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  37. 37.Dev’s mother is twice as old as Dev. Their ages add up to 12 years. How old is Dev?
  38. 38.Diya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  39. 39.Kabir thinks of a number, multiplies it by 9 and then adds 25. The result is 43. What is the number?
  40. 40.Rohan thinks of a number, multiplies it by 5 and then adds 13. The result is 63. What is the number?

Answer key

  1. 2
  2. 8
  3. 12
  4. 15
  5. 6
  6. 5
  7. 4
  8. 80
  9. 72
  10. 3
  11. 11
  12. 13
  13. 6
  14. 10
  15. 13
  16. 15
  17. 10
  18. 5
  19. 12
  20. 30
  21. 10
  22. 22
  23. 18
  24. 11
  25. 3
  26. 4
  27. 28
  28. 11
  29. 5
  30. 12
  31. 4
  32. 15
  33. 1
  34. 12
  35. 3
  36. 9
  37. 4
  38. 6
  39. 2
  40. 10

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