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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 488 · 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 + 20 = 26. What is t?
  2. 2.Solve: 2m + 5 = 21. What is m?
  3. 3.Priya’s mother is twice as old as Priya. Their ages add up to 18 years. How old is Priya?
  4. 4.Solve: 7(y + 4) = 105. What is y?
  5. 5.Karan’s mother is four times as old as Karan. Their ages add up to 50 years. How old is Karan?
  6. 6.Solve: m/3 + 5 = 6. What is m?
  7. 7.Solve: 8(t + 7) = 136. What is t?
  8. 8.Solve: 6y + 9 = 57. What is y?
  9. 9.Solve: 5p − 37 = 33. What is p?
  10. 10.Solve: 4t + 20 = 52. What is t?
  11. 11.Solve: 7t − 3 = 46. What is t?
  12. 12.Solve: 2y + 18 = 22. What is y?
  13. 13.Solve: 9x + 23 = 158. What is x?
  14. 14.Solve: p/6 + 8 = 15. What is p?
  15. 15.Solve: 8m − 8 = 24. What is m?
  16. 16.Solve: 5p + 4 = 9. What is p?
  17. 17.Solve: 7(y + 7) = 91. What is y?
  18. 18.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 48 years. How old is Saanvi?
  19. 19.Solve: 6y − 12 = 30. What is y?
  20. 20.Solve: 7(y + 7) = 84. What is y?
  21. 21.Solve: 6m + 13 = 67. What is m?
  22. 22.Solve: t/3 + 4 = 5. What is t?
  23. 23.Solve: 5x − 8 = 37. What is x?
  24. 24.Diya’s mother is three times as old as Diya. Their ages add up to 48 years. How old is Diya?
  25. 25.Solve: y/7 + 5 = 20. What is y?
  26. 26.Solve: x/7 + 9 = 19. What is x?
  27. 27.Farhan thinks of a number, multiplies it by 8 and then adds 14. The result is 22. What is the number?
  28. 28.Solve: 4x − 13 = 35. What is x?
  29. 29.Solve: 3m + 23 = 41. What is m?
  30. 30.Solve: 8p + 28 = 76. What is p?
  31. 31.Zoya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  32. 32.Aditya thinks of a number, multiplies it by 2 and then adds 30. The result is 32. What is the number?
  33. 33.Solve: 9(t + 5) = 153. What is t?
  34. 34.Solve: 7p + 1 = 8. What is p?
  35. 35.Farhan thinks of a number, multiplies it by 7 and then adds 16. The result is 30. What is the number?
  36. 36.Solve: 2m + 1 = 19. What is m?
  37. 37.Solve: x/6 + 5 = 14. What is x?
  38. 38.Karan thinks of a number, multiplies it by 9 and then adds 7. The result is 106. What is the number?
  39. 39.Arjun thinks of a number, multiplies it by 6 and then adds 30. The result is 120. What is the number?
  40. 40.Rohan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?

Answer key

  1. 42
  2. 8
  3. 6
  4. 11
  5. 10
  6. 3
  7. 10
  8. 8
  9. 14
  10. 8
  11. 7
  12. 2
  13. 15
  14. 42
  15. 4
  16. 1
  17. 6
  18. 12
  19. 7
  20. 5
  21. 9
  22. 3
  23. 9
  24. 12
  25. 105
  26. 70
  27. 1
  28. 12
  29. 6
  30. 6
  31. 5
  32. 1
  33. 12
  34. 1
  35. 2
  36. 9
  37. 54
  38. 11
  39. 15
  40. 7

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