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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 153 · 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.Gurpreet thinks of a number, multiplies it by 2 and then adds 25. The result is 41. What is the number?
  2. 2.Solve: x/8 + 8 = 15. What is x?
  3. 3.Solve: 9y + 12 = 138. What is y?
  4. 4.Solve: t/2 + 2 = 5. What is t?
  5. 5.Solve: 2m − 16 = 6. What is m?
  6. 6.Aarav is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  7. 7.Solve: 9(y + 2) = 72. What is y?
  8. 8.Solve: 9m + 29 = 92. What is m?
  9. 9.Aditya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  10. 10.Solve: 3x + 14 = 56. What is x?
  11. 11.Solve: 4m + 28 = 36. What is m?
  12. 12.Solve: m/4 + 13 = 24. What is m?
  13. 13.Solve: x/9 + 11 = 22. What is x?
  14. 14.Diya thinks of a number, multiplies it by 6 and then adds 4. The result is 58. What is the number?
  15. 15.Solve: 8x + 7 = 87. What is x?
  16. 16.Lakshmi is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  17. 17.Solve: 2(t + 2) = 14. What is t?
  18. 18.Solve: 7(n + 7) = 91. What is n?
  19. 19.Solve: y/8 + 18 = 25. What is y?
  20. 20.Solve: 3x − 1 = 17. What is x?
  21. 21.Solve: 5p − 24 = 26. What is p?
  22. 22.Solve: 3(x + 8) = 63. What is x?
  23. 23.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 50 years. How old is Ishaan?
  24. 24.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 35 years. How old is Saanvi?
  25. 25.Solve: p/8 + 7 = 10. What is p?
  26. 26.Solve: x/2 + 7 = 12. What is x?
  27. 27.Solve: 4n + 19 = 75. What is n?
  28. 28.Solve: y/7 + 4 = 8. What is y?
  29. 29.Rahul’s mother is twice as old as Rahul. Their ages add up to 39 years. How old is Rahul?
  30. 30.Solve: 2(y + 6) = 38. What is y?
  31. 31.Solve: 5n − 51 = 19. What is n?
  32. 32.Solve: t/5 + 14 = 21. What is t?
  33. 33.Priya thinks of a number, multiplies it by 4 and then adds 29. The result is 65. What is the number?
  34. 34.Solve: n/4 + 18 = 31. What is n?
  35. 35.Solve: 7m + 13 = 90. What is m?
  36. 36.Meera is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  37. 37.Solve: y/3 + 6 = 20. What is y?
  38. 38.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 75 years. How old is Lakshmi?
  39. 39.Solve: x/9 + 20 = 22. What is x?
  40. 40.Solve: m/9 + 8 = 13. What is m?

Answer key

  1. 8
  2. 56
  3. 14
  4. 6
  5. 11
  6. 14
  7. 6
  8. 7
  9. 11
  10. 14
  11. 2
  12. 44
  13. 99
  14. 9
  15. 10
  16. 4
  17. 5
  18. 6
  19. 56
  20. 6
  21. 10
  22. 13
  23. 10
  24. 7
  25. 24
  26. 10
  27. 14
  28. 28
  29. 13
  30. 13
  31. 14
  32. 35
  33. 9
  34. 52
  35. 11
  36. 11
  37. 42
  38. 15
  39. 18
  40. 45

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