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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 558 · 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.Solve: 5m + 28 = 73. What is m?
  2. 2.Solve: 5n − 1 = 9. What is n?
  3. 3.Solve: 7(x + 7) = 126. What is x?
  4. 4.Solve: p/2 + 16 = 18. What is p?
  5. 5.Joseph is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Solve: 3(p + 2) = 12. What is p?
  7. 7.Solve: y/5 + 8 = 9. What is y?
  8. 8.Isha’s mother is four times as old as Isha. Their ages add up to 45 years. How old is Isha?
  9. 9.Arjun is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  10. 10.Solve: 2t − 3 = 1. What is t?
  11. 11.Solve: 7t + 14 = 91. What is t?
  12. 12.Solve: 7n − 34 = 22. What is n?
  13. 13.Solve: 5y − 1 = 24. What is y?
  14. 14.Solve: n/6 + 19 = 27. What is n?
  15. 15.Solve: 2x − 6 = 18. What is x?
  16. 16.Solve: 9x + 2 = 119. What is x?
  17. 17.Kavya thinks of a number, multiplies it by 5 and then adds 4. The result is 9. What is the number?
  18. 18.Nisha’s mother is four times as old as Nisha. Their ages add up to 55 years. How old is Nisha?
  19. 19.Solve: 6(p + 4) = 48. What is p?
  20. 20.Solve: 2y + 9 = 11. What is y?
  21. 21.Solve: n/5 + 2 = 12. What is n?
  22. 22.Solve: 6n − 3 = 33. What is n?
  23. 23.Solve: m/8 + 18 = 32. What is m?
  24. 24.Solve: 2m + 21 = 51. What is m?
  25. 25.Meera thinks of a number, multiplies it by 6 and then adds 8. The result is 86. What is the number?
  26. 26.Solve: 9n + 2 = 65. What is n?
  27. 27.Solve: 7p − 18 = 66. What is p?
  28. 28.Solve: 3(m + 6) = 51. What is m?
  29. 29.Solve: 2t + 8 = 14. What is t?
  30. 30.Solve: 4y + 3 = 55. What is y?
  31. 31.Solve: m/8 + 9 = 21. What is m?
  32. 32.Solve: 9x + 7 = 52. What is x?
  33. 33.Solve: 7y − 13 = 8. What is y?
  34. 34.Priya’s mother is twice as old as Priya. Their ages add up to 12 years. How old is Priya?
  35. 35.Solve: 9n + 6 = 141. What is n?
  36. 36.Solve: 6n + 4 = 16. What is n?
  37. 37.Solve: 8x − 74 = 6. What is x?
  38. 38.Solve: 7p − 23 = 61. What is p?
  39. 39.Solve: y/3 + 5 = 7. What is y?
  40. 40.Solve: n/3 + 20 = 21. What is n?

Answer key

  1. 9
  2. 2
  3. 11
  4. 4
  5. 7
  6. 2
  7. 5
  8. 9
  9. 12
  10. 2
  11. 11
  12. 8
  13. 5
  14. 48
  15. 12
  16. 13
  17. 1
  18. 11
  19. 4
  20. 1
  21. 50
  22. 6
  23. 112
  24. 15
  25. 13
  26. 7
  27. 12
  28. 11
  29. 3
  30. 13
  31. 96
  32. 5
  33. 3
  34. 4
  35. 15
  36. 2
  37. 10
  38. 12
  39. 6
  40. 3

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