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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 474 · 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 + 9 = 23. What is y?
  2. 2.Solve: y/7 + 18 = 25. What is y?
  3. 3.Solve: 9m + 28 = 46. What is m?
  4. 4.Solve: 6(x + 8) = 60. What is x?
  5. 5.Saanvi thinks of a number, multiplies it by 7 and then adds 1. The result is 106. What is the number?
  6. 6.Solve: 4t + 5 = 29. What is t?
  7. 7.Solve: 7p + 14 = 49. What is p?
  8. 8.Kabir thinks of a number, multiplies it by 5 and then adds 8. The result is 53. What is the number?
  9. 9.Solve: 4x − 24 = 32. What is x?
  10. 10.Solve: 3p − 2 = 1. What is p?
  11. 11.Pooja is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  12. 12.Solve: y/3 + 14 = 26. What is y?
  13. 13.Solve: 8p + 9 = 17. What is p?
  14. 14.Aarav is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  15. 15.Solve: 8y + 19 = 91. What is y?
  16. 16.Solve: 3n − 21 = 24. What is n?
  17. 17.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 36 years. How old is Ishaan?
  18. 18.Solve: y/4 + 2 = 5. What is y?
  19. 19.Solve: p/3 + 7 = 14. What is p?
  20. 20.Solve: 9x + 29 = 137. What is x?
  21. 21.Solve: m/8 + 4 = 9. What is m?
  22. 22.Vivaan thinks of a number, multiplies it by 5 and then adds 11. The result is 81. What is the number?
  23. 23.Priya thinks of a number, multiplies it by 3 and then adds 22. The result is 31. What is the number?
  24. 24.Lakshmi thinks of a number, multiplies it by 5 and then adds 13. The result is 18. What is the number?
  25. 25.Solve: 3p − 6 = 21. What is p?
  26. 26.Solve: 8y + 27 = 35. What is y?
  27. 27.Diya’s mother is three times as old as Diya. Their ages add up to 16 years. How old is Diya?
  28. 28.Solve: 4(n + 9) = 52. What is n?
  29. 29.Zoya thinks of a number, multiplies it by 4 and then adds 23. The result is 27. What is the number?
  30. 30.Solve: 9(y + 3) = 81. What is y?
  31. 31.Arjun thinks of a number, multiplies it by 2 and then adds 7. The result is 37. What is the number?
  32. 32.Solve: 7y + 5 = 26. What is y?
  33. 33.Solve: n/5 + 5 = 16. What is n?
  34. 34.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 45 years. How old is Gurpreet?
  35. 35.Solve: 6(p + 1) = 36. What is p?
  36. 36.Riya thinks of a number, multiplies it by 8 and then adds 25. The result is 41. What is the number?
  37. 37.Solve: 3n − 2 = 13. What is n?
  38. 38.Solve: 7(p + 5) = 105. What is p?
  39. 39.Solve: 9t + 20 = 128. What is t?
  40. 40.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 44 years. How old is Gurpreet?

Answer key

  1. 56
  2. 49
  3. 2
  4. 2
  5. 15
  6. 6
  7. 5
  8. 9
  9. 14
  10. 1
  11. 13
  12. 36
  13. 1
  14. 8
  15. 9
  16. 15
  17. 9
  18. 12
  19. 21
  20. 12
  21. 40
  22. 14
  23. 3
  24. 1
  25. 9
  26. 1
  27. 4
  28. 4
  29. 1
  30. 6
  31. 15
  32. 3
  33. 55
  34. 9
  35. 5
  36. 2
  37. 5
  38. 10
  39. 12
  40. 11

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