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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 191 · 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: y/4 + 19 = 30. What is y?
  2. 2.Saanvi thinks of a number, multiplies it by 3 and then adds 29. The result is 68. What is the number?
  3. 3.Riya thinks of a number, multiplies it by 5 and then adds 16. The result is 21. What is the number?
  4. 4.Solve: p/6 + 18 = 29. What is p?
  5. 5.Aarav thinks of a number, multiplies it by 5 and then adds 15. The result is 70. What is the number?
  6. 6.Solve: 6(x + 9) = 60. What is x?
  7. 7.Nisha thinks of a number, multiplies it by 7 and then adds 29. The result is 120. What is the number?
  8. 8.Diya thinks of a number, multiplies it by 4 and then adds 1. The result is 41. What is the number?
  9. 9.Solve: 4m + 14 = 34. What is m?
  10. 10.Solve: 4y − 13 = 3. What is y?
  11. 11.Sneha thinks of a number, multiplies it by 5 and then adds 14. The result is 64. What is the number?
  12. 12.Pooja’s mother is four times as old as Pooja. Their ages add up to 75 years. How old is Pooja?
  13. 13.Solve: 3x − 2 = 16. What is x?
  14. 14.Solve: 7x − 11 = 66. What is x?
  15. 15.Solve: 3(x + 2) = 12. What is x?
  16. 16.Solve: 4(x + 7) = 32. What is x?
  17. 17.Solve: m/6 + 13 = 23. What is m?
  18. 18.Solve: t/8 + 5 = 12. What is t?
  19. 19.Solve: 3(m + 4) = 48. What is m?
  20. 20.Solve: 3m − 14 = 1. What is m?
  21. 21.Aarav thinks of a number, multiplies it by 9 and then adds 6. The result is 60. What is the number?
  22. 22.Karan thinks of a number, multiplies it by 5 and then adds 9. The result is 44. What is the number?
  23. 23.Joseph thinks of a number, multiplies it by 3 and then adds 10. The result is 25. What is the number?
  24. 24.Solve: 5m − 14 = 51. What is m?
  25. 25.Farhan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Solve: 7x + 15 = 99. What is x?
  27. 27.Ananya’s mother is four times as old as Ananya. Their ages add up to 60 years. How old is Ananya?
  28. 28.Solve: t/2 + 12 = 24. What is t?
  29. 29.Karan is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  30. 30.Kavya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  31. 31.Joseph’s mother is twice as old as Joseph. Their ages add up to 21 years. How old is Joseph?
  32. 32.Meera thinks of a number, multiplies it by 9 and then adds 7. The result is 133. What is the number?
  33. 33.Solve: 2(x + 9) = 34. What is x?
  34. 34.Solve: y/3 + 19 = 32. What is y?
  35. 35.Solve: 2(n + 1) = 32. What is n?
  36. 36.Zoya thinks of a number, multiplies it by 8 and then adds 11. The result is 27. What is the number?
  37. 37.Solve: 5p + 24 = 44. What is p?
  38. 38.Solve: m/9 + 7 = 9. What is m?
  39. 39.Solve: y/8 + 15 = 30. What is y?
  40. 40.Solve: 3x + 27 = 66. What is x?

Answer key

  1. 44
  2. 13
  3. 1
  4. 66
  5. 11
  6. 1
  7. 13
  8. 10
  9. 5
  10. 4
  11. 10
  12. 15
  13. 6
  14. 11
  15. 2
  16. 1
  17. 60
  18. 56
  19. 12
  20. 5
  21. 6
  22. 7
  23. 5
  24. 13
  25. 5
  26. 12
  27. 12
  28. 24
  29. 6
  30. 6
  31. 7
  32. 14
  33. 8
  34. 39
  35. 15
  36. 2
  37. 4
  38. 18
  39. 120
  40. 13

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