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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 433 · 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.Dev thinks of a number, multiplies it by 7 and then adds 17. The result is 80. What is the number?
  2. 2.Pooja thinks of a number, multiplies it by 8 and then adds 7. The result is 47. What is the number?
  3. 3.Diya thinks of a number, multiplies it by 9 and then adds 3. The result is 48. What is the number?
  4. 4.Isha’s mother is three times as old as Isha. Their ages add up to 32 years. How old is Isha?
  5. 5.Solve: 4y + 21 = 29. What is y?
  6. 6.Solve: 7n + 2 = 86. What is n?
  7. 7.Solve: 8m − 65 = 55. What is m?
  8. 8.Solve: 3(t + 5) = 60. What is t?
  9. 9.Kabir is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  10. 10.Lakshmi thinks of a number, multiplies it by 2 and then adds 2. The result is 32. What is the number?
  11. 11.Isha thinks of a number, multiplies it by 6 and then adds 9. The result is 51. What is the number?
  12. 12.Solve: 6m + 14 = 62. What is m?
  13. 13.Solve: 3(x + 3) = 42. What is x?
  14. 14.Aarav is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  15. 15.Ananya thinks of a number, multiplies it by 9 and then adds 13. The result is 148. What is the number?
  16. 16.Priya’s mother is twice as old as Priya. Their ages add up to 30 years. How old is Priya?
  17. 17.Solve: t/3 + 20 = 31. What is t?
  18. 18.Solve: 2m − 1 = 15. What is m?
  19. 19.Solve: 3y − 20 = 7. What is y?
  20. 20.Kabir thinks of a number, multiplies it by 9 and then adds 7. The result is 79. What is the number?
  21. 21.Arjun thinks of a number, multiplies it by 5 and then adds 25. The result is 30. What is the number?
  22. 22.Solve: 2x + 5 = 13. What is x?
  23. 23.Solve: 6p + 4 = 28. What is p?
  24. 24.Solve: 3p − 33 = 12. What is p?
  25. 25.Karan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Saanvi thinks of a number, multiplies it by 6 and then adds 17. The result is 23. What is the number?
  27. 27.Solve: 3n − 32 = 7. What is n?
  28. 28.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 20 years. How old is Gurpreet?
  29. 29.Solve: 9x − 25 = 2. What is x?
  30. 30.Priya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  31. 31.Diya’s mother is four times as old as Diya. Their ages add up to 75 years. How old is Diya?
  32. 32.Solve: 9(t + 2) = 81. What is t?
  33. 33.Solve: 2y − 9 = 9. What is y?
  34. 34.Solve: 2x − 11 = 3. What is x?
  35. 35.Arjun’s mother is twice as old as Arjun. Their ages add up to 42 years. How old is Arjun?
  36. 36.Solve: 8(y + 9) = 184. What is y?
  37. 37.Isha’s mother is three times as old as Isha. Their ages add up to 60 years. How old is Isha?
  38. 38.Solve: n/3 + 20 = 32. What is n?
  39. 39.Solve: 5m + 6 = 16. What is m?
  40. 40.Nisha’s mother is four times as old as Nisha. Their ages add up to 50 years. How old is Nisha?

Answer key

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

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