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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 461 · 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/7 + 5 = 6. What is t?
  2. 2.Solve: 9y + 9 = 126. What is y?
  3. 3.Sneha is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  4. 4.Solve: 7(n + 6) = 49. What is n?
  5. 5.Solve: 7p − 56 = 14. What is p?
  6. 6.Manav’s mother is three times as old as Manav. Their ages add up to 48 years. How old is Manav?
  7. 7.Saanvi thinks of a number, multiplies it by 7 and then adds 21. The result is 49. What is the number?
  8. 8.Solve: 7n + 1 = 36. What is n?
  9. 9.Solve: x/7 + 15 = 19. What is x?
  10. 10.Solve: 8p − 69 = 11. What is p?
  11. 11.Solve: 5x + 21 = 76. What is x?
  12. 12.Solve: t/2 + 6 = 11. What is t?
  13. 13.Solve: 9p + 10 = 118. What is p?
  14. 14.Zoya’s mother is three times as old as Zoya. Their ages add up to 28 years. How old is Zoya?
  15. 15.Solve: 7(t + 9) = 77. What is t?
  16. 16.Solve: 8x + 6 = 70. What is x?
  17. 17.Solve: p/7 + 2 = 6. What is p?
  18. 18.Solve: 6n + 29 = 113. What is n?
  19. 19.Solve: 2y + 14 = 24. What is y?
  20. 20.Solve: 8x + 18 = 122. What is x?
  21. 21.Zoya thinks of a number, multiplies it by 2 and then adds 12. The result is 36. What is the number?
  22. 22.Pooja’s mother is twice as old as Pooja. Their ages add up to 33 years. How old is Pooja?
  23. 23.Solve: 8(m + 7) = 80. What is m?
  24. 24.Solve: y/6 + 12 = 17. What is y?
  25. 25.Dev’s mother is three times as old as Dev. Their ages add up to 56 years. How old is Dev?
  26. 26.Solve: 3m − 2 = 4. What is m?
  27. 27.Solve: 4y − 21 = 23. What is y?
  28. 28.Solve: 4p + 22 = 46. What is p?
  29. 29.Solve: y/5 + 4 = 11. What is y?
  30. 30.Solve: 2x + 22 = 40. What is x?
  31. 31.Solve: x/9 + 20 = 21. What is x?
  32. 32.Solve: 2(y + 3) = 34. What is y?
  33. 33.Solve: 3p − 16 = 20. What is p?
  34. 34.Solve: 3n − 3 = 42. What is n?
  35. 35.Solve: y/3 + 5 = 6. What is y?
  36. 36.Dev thinks of a number, multiplies it by 2 and then adds 22. The result is 44. What is the number?
  37. 37.Dev’s mother is twice as old as Dev. Their ages add up to 30 years. How old is Dev?
  38. 38.Solve: 9y + 25 = 70. What is y?
  39. 39.Solve: 7m + 30 = 51. What is m?
  40. 40.Kabir thinks of a number, multiplies it by 8 and then adds 15. The result is 63. What is the number?

Answer key

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

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