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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 702 · 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.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  2. 2.Solve: 3y + 28 = 31. What is y?
  3. 3.Manav thinks of a number, multiplies it by 4 and then adds 7. The result is 59. What is the number?
  4. 4.Solve: 6t + 26 = 104. What is t?
  5. 5.Solve: 5t − 6 = 59. What is t?
  6. 6.Solve: 5m + 7 = 42. What is m?
  7. 7.Solve: 3t + 22 = 58. What is t?
  8. 8.Isha thinks of a number, multiplies it by 7 and then adds 26. The result is 54. What is the number?
  9. 9.Solve: 9m + 9 = 36. What is m?
  10. 10.Solve: 7(y + 5) = 63. What is y?
  11. 11.Karan’s mother is twice as old as Karan. Their ages add up to 24 years. How old is Karan?
  12. 12.Diya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  13. 13.Solve: m/7 + 3 = 12. What is m?
  14. 14.Solve: 9n + 18 = 144. What is n?
  15. 15.Solve: 9n − 18 = 9. What is n?
  16. 16.Solve: y/7 + 2 = 8. What is y?
  17. 17.Solve: 8p + 27 = 91. What is p?
  18. 18.Solve: 7x + 7 = 42. What is x?
  19. 19.Solve: n/8 + 8 = 17. What is n?
  20. 20.Solve: m/2 + 15 = 27. What is m?
  21. 21.Gurpreet thinks of a number, multiplies it by 9 and then adds 6. The result is 42. What is the number?
  22. 22.Diya thinks of a number, multiplies it by 3 and then adds 16. The result is 43. What is the number?
  23. 23.Solve: 5n − 1 = 4. What is n?
  24. 24.Kabir thinks of a number, multiplies it by 7 and then adds 12. The result is 89. What is the number?
  25. 25.Solve: 8(m + 1) = 120. What is m?
  26. 26.Solve: 6n − 25 = 35. What is n?
  27. 27.Kavya is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  28. 28.Solve: y/3 + 2 = 15. What is y?
  29. 29.Kavya thinks of a number, multiplies it by 2 and then adds 8. The result is 14. What is the number?
  30. 30.Priya’s mother is three times as old as Priya. Their ages add up to 16 years. How old is Priya?
  31. 31.Nisha’s mother is twice as old as Nisha. Their ages add up to 30 years. How old is Nisha?
  32. 32.Solve: 6t + 17 = 41. What is t?
  33. 33.Aditya is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Solve: 7m − 3 = 18. What is m?
  35. 35.Solve: 2(m + 7) = 32. What is m?
  36. 36.Solve: p/8 + 1 = 13. What is p?
  37. 37.Solve: 4x + 3 = 11. What is x?
  38. 38.Solve: 2(x + 5) = 22. What is x?
  39. 39.Solve: 4p + 17 = 65. What is p?
  40. 40.Solve: m/9 + 1 = 15. What is m?

Answer key

  1. 12
  2. 1
  3. 13
  4. 13
  5. 13
  6. 7
  7. 12
  8. 4
  9. 3
  10. 4
  11. 8
  12. 6
  13. 63
  14. 14
  15. 3
  16. 42
  17. 8
  18. 5
  19. 72
  20. 24
  21. 4
  22. 9
  23. 1
  24. 11
  25. 14
  26. 10
  27. 10
  28. 39
  29. 3
  30. 4
  31. 10
  32. 4
  33. 9
  34. 3
  35. 9
  36. 96
  37. 2
  38. 6
  39. 12
  40. 126

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