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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 232 · 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: 7m + 1 = 15. What is m?
  2. 2.Nisha’s mother is four times as old as Nisha. Their ages add up to 50 years. How old is Nisha?
  3. 3.Manav thinks of a number, multiplies it by 4 and then adds 6. The result is 14. What is the number?
  4. 4.Solve: 9y + 14 = 23. What is y?
  5. 5.Aditya’s mother is twice as old as Aditya. Their ages add up to 18 years. How old is Aditya?
  6. 6.Solve: x/4 + 14 = 26. What is x?
  7. 7.Joseph’s mother is four times as old as Joseph. Their ages add up to 70 years. How old is Joseph?
  8. 8.Solve: n/5 + 15 = 16. What is n?
  9. 9.Saanvi thinks of a number, multiplies it by 3 and then adds 14. The result is 38. What is the number?
  10. 10.Solve: 2p − 2 = 4. What is p?
  11. 11.Tara thinks of a number, multiplies it by 2 and then adds 21. The result is 25. What is the number?
  12. 12.Solve: y/4 + 14 = 18. What is y?
  13. 13.Solve: 4(y + 2) = 16. What is y?
  14. 14.Solve: 6m + 8 = 38. What is m?
  15. 15.Solve: 5m − 9 = 31. What is m?
  16. 16.Solve: 6(t + 7) = 48. What is t?
  17. 17.Nisha is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  18. 18.Gurpreet thinks of a number, multiplies it by 7 and then adds 2. The result is 72. What is the number?
  19. 19.Solve: 9p + 30 = 111. What is p?
  20. 20.Riya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  21. 21.Solve: x/8 + 5 = 11. What is x?
  22. 22.Solve: 8(t + 5) = 128. What is t?
  23. 23.Solve: 4(y + 6) = 68. What is y?
  24. 24.Solve: 9m − 24 = 3. What is m?
  25. 25.Karan thinks of a number, multiplies it by 3 and then adds 11. The result is 50. What is the number?
  26. 26.Solve: 4x − 11 = 9. What is x?
  27. 27.Ananya thinks of a number, multiplies it by 5 and then adds 21. The result is 61. What is the number?
  28. 28.Solve: 5x − 38 = 17. What is x?
  29. 29.Manav’s mother is twice as old as Manav. Their ages add up to 24 years. How old is Manav?
  30. 30.Solve: 2(n + 1) = 26. What is n?
  31. 31.Ananya thinks of a number, multiplies it by 4 and then adds 16. The result is 20. What is the number?
  32. 32.Solve: 8m − 70 = 50. What is m?
  33. 33.Aarav thinks of a number, multiplies it by 8 and then adds 27. The result is 115. What is the number?
  34. 34.Priya’s mother is three times as old as Priya. Their ages add up to 56 years. How old is Priya?
  35. 35.Karan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  36. 36.Saanvi thinks of a number, multiplies it by 5 and then adds 30. The result is 35. What is the number?
  37. 37.Solve: 3y − 6 = 6. What is y?
  38. 38.Solve: m/7 + 11 = 12. What is m?
  39. 39.Solve: 8y − 1 = 103. What is y?
  40. 40.Saanvi thinks of a number, multiplies it by 6 and then adds 5. The result is 77. What is the number?

Answer key

  1. 2
  2. 10
  3. 2
  4. 1
  5. 6
  6. 48
  7. 14
  8. 5
  9. 8
  10. 3
  11. 2
  12. 16
  13. 2
  14. 5
  15. 8
  16. 1
  17. 15
  18. 10
  19. 9
  20. 12
  21. 48
  22. 11
  23. 11
  24. 3
  25. 13
  26. 5
  27. 8
  28. 11
  29. 8
  30. 12
  31. 1
  32. 15
  33. 11
  34. 14
  35. 4
  36. 1
  37. 4
  38. 7
  39. 13
  40. 12

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