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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 717 · 40 sums
TalentJR

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.Riya is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  2. 2.Solve: 9(t + 8) = 99. What is t?
  3. 3.Solve: 8x − 13 = 11. What is x?
  4. 4.Ananya thinks of a number, multiplies it by 3 and then adds 14. The result is 23. What is the number?
  5. 5.Solve: x/3 + 12 = 23. What is x?
  6. 6.Solve: 4m − 1 = 3. What is m?
  7. 7.Solve: 3n + 6 = 18. What is n?
  8. 8.Solve: t/6 + 17 = 20. What is t?
  9. 9.Solve: t/9 + 19 = 28. What is t?
  10. 10.Solve: 9(x + 8) = 153. What is x?
  11. 11.Solve: 4x − 4 = 12. What is x?
  12. 12.Pooja’s mother is three times as old as Pooja. Their ages add up to 24 years. How old is Pooja?
  13. 13.Solve: 9t + 15 = 123. What is t?
  14. 14.Solve: 3p + 30 = 75. What is p?
  15. 15.Solve: 3(p + 2) = 39. What is p?
  16. 16.Solve: 7m + 28 = 91. What is m?
  17. 17.Solve: t/5 + 13 = 28. What is t?
  18. 18.Solve: 2(p + 7) = 22. What is p?
  19. 19.Solve: n/3 + 12 = 26. What is n?
  20. 20.Nisha is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  21. 21.Solve: 9(x + 5) = 63. What is x?
  22. 22.Solve: 5x − 14 = 36. What is x?
  23. 23.Solve: 7m − 66 = 18. What is m?
  24. 24.Solve: n/5 + 6 = 17. What is n?
  25. 25.Solve: 8m + 23 = 127. What is m?
  26. 26.Vivaan thinks of a number, multiplies it by 4 and then adds 12. The result is 56. What is the number?
  27. 27.Solve: n/5 + 12 = 27. What is n?
  28. 28.Solve: y/9 + 4 = 6. What is y?
  29. 29.Solve: 8t − 10 = 14. What is t?
  30. 30.Solve: x/6 + 3 = 10. What is x?
  31. 31.Solve: 4x + 14 = 70. What is x?
  32. 32.Solve: 9m + 4 = 103. What is m?
  33. 33.Solve: 9m − 1 = 89. What is m?
  34. 34.Priya thinks of a number, multiplies it by 5 and then adds 7. The result is 27. What is the number?
  35. 35.Solve: 7y + 19 = 47. What is y?
  36. 36.Solve: 8(n + 4) = 48. What is n?
  37. 37.Solve: 9x − 15 = 21. What is x?
  38. 38.Lakshmi is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  39. 39.Solve: 2x + 15 = 43. What is x?
  40. 40.Aditya’s mother is three times as old as Aditya. Their ages add up to 28 years. How old is Aditya?

Answer key

  1. 10
  2. 3
  3. 3
  4. 3
  5. 33
  6. 1
  7. 4
  8. 18
  9. 81
  10. 9
  11. 4
  12. 6
  13. 12
  14. 15
  15. 11
  16. 9
  17. 75
  18. 4
  19. 42
  20. 14
  21. 2
  22. 10
  23. 12
  24. 55
  25. 13
  26. 11
  27. 75
  28. 18
  29. 3
  30. 42
  31. 14
  32. 11
  33. 10
  34. 4
  35. 4
  36. 2
  37. 4
  38. 5
  39. 14
  40. 7

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