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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 140 · 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.Ananya thinks of a number, multiplies it by 3 and then adds 25. The result is 55. What is the number?
  2. 2.Solve: 7(p + 7) = 84. What is p?
  3. 3.Pooja thinks of a number, multiplies it by 2 and then adds 29. The result is 55. What is the number?
  4. 4.Nisha’s mother is three times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
  5. 5.Meera thinks of a number, multiplies it by 7 and then adds 19. The result is 61. What is the number?
  6. 6.Manav thinks of a number, multiplies it by 6 and then adds 7. The result is 97. What is the number?
  7. 7.Solve: 3x + 8 = 14. What is x?
  8. 8.Solve: x/9 + 19 = 20. What is x?
  9. 9.Ananya is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  10. 10.Solve: 6y + 23 = 83. What is y?
  11. 11.Solve: 3y + 15 = 18. What is y?
  12. 12.Solve: t/7 + 12 = 19. What is t?
  13. 13.Solve: 6p − 17 = 19. What is p?
  14. 14.Solve: 5x − 2 = 13. What is x?
  15. 15.Rahul is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  16. 16.Solve: 3(n + 9) = 69. What is n?
  17. 17.Solve: 2(m + 4) = 28. What is m?
  18. 18.Solve: 3t − 18 = 12. What is t?
  19. 19.Solve: 9n + 1 = 127. What is n?
  20. 20.Arjun is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  21. 21.Arjun thinks of a number, multiplies it by 4 and then adds 1. The result is 17. What is the number?
  22. 22.Solve: 7x + 17 = 73. What is x?
  23. 23.Solve: x/6 + 11 = 22. What is x?
  24. 24.Solve: 6p − 11 = 31. What is p?
  25. 25.Solve: 7p − 35 = 70. What is p?
  26. 26.Karan thinks of a number, multiplies it by 7 and then adds 1. The result is 15. What is the number?
  27. 27.Solve: 6p − 42 = 24. What is p?
  28. 28.Solve: 4x − 1 = 7. What is x?
  29. 29.Solve: 8p + 8 = 48. What is p?
  30. 30.Solve: 9x − 24 = 12. What is x?
  31. 31.Gurpreet is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  32. 32.Solve: 2p + 7 = 11. What is p?
  33. 33.Rohan thinks of a number, multiplies it by 5 and then adds 11. The result is 81. What is the number?
  34. 34.Solve: 3x + 29 = 41. What is x?
  35. 35.Solve: p/2 + 13 = 24. What is p?
  36. 36.Dev is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  37. 37.Solve: 2(t + 4) = 26. What is t?
  38. 38.Solve: 2(x + 5) = 18. What is x?
  39. 39.Solve: t/9 + 17 = 18. What is t?
  40. 40.Solve: x/7 + 6 = 9. What is x?

Answer key

  1. 10
  2. 5
  3. 13
  4. 15
  5. 6
  6. 15
  7. 2
  8. 9
  9. 13
  10. 10
  11. 1
  12. 49
  13. 6
  14. 3
  15. 12
  16. 14
  17. 10
  18. 10
  19. 14
  20. 12
  21. 4
  22. 8
  23. 66
  24. 7
  25. 15
  26. 2
  27. 11
  28. 2
  29. 5
  30. 4
  31. 8
  32. 2
  33. 14
  34. 4
  35. 22
  36. 5
  37. 9
  38. 4
  39. 9
  40. 21

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