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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 61 · 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: 2y + 1 = 23. What is y?
  2. 2.Solve: m/3 + 1 = 7. What is m?
  3. 3.Solve: n/4 + 18 = 31. What is n?
  4. 4.Solve: 9x − 109 = 26. What is x?
  5. 5.Solve: 7p − 23 = 33. What is p?
  6. 6.Solve: 2x − 1 = 3. What is x?
  7. 7.Solve: 2t − 1 = 29. What is t?
  8. 8.Solve: p/2 + 10 = 22. What is p?
  9. 9.Solve: 4y − 7 = 21. What is y?
  10. 10.Isha thinks of a number, multiplies it by 8 and then adds 20. The result is 52. What is the number?
  11. 11.Dev thinks of a number, multiplies it by 4 and then adds 29. The result is 73. What is the number?
  12. 12.Solve: p/3 + 8 = 12. What is p?
  13. 13.Solve: 7n − 68 = 9. What is n?
  14. 14.Solve: 3n − 18 = 12. What is n?
  15. 15.Solve: 5y − 4 = 1. What is y?
  16. 16.Aditya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  17. 17.Solve: 8p − 22 = 98. What is p?
  18. 18.Solve: 4m − 7 = 13. What is m?
  19. 19.Solve: 7p − 18 = 59. What is p?
  20. 20.Solve: 3m + 24 = 60. What is m?
  21. 21.Kavya thinks of a number, multiplies it by 4 and then adds 20. The result is 68. What is the number?
  22. 22.Meera thinks of a number, multiplies it by 6 and then adds 13. The result is 61. What is the number?
  23. 23.Solve: 3t + 5 = 17. What is t?
  24. 24.Solve: 5(m + 2) = 75. What is m?
  25. 25.Rohan thinks of a number, multiplies it by 9 and then adds 14. The result is 77. What is the number?
  26. 26.Solve: t/6 + 3 = 14. What is t?
  27. 27.Solve: 5y + 3 = 28. What is y?
  28. 28.Arjun is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  29. 29.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  30. 30.Solve: 2(x + 8) = 34. What is x?
  31. 31.Solve: 6(x + 7) = 90. What is x?
  32. 32.Solve: y/6 + 1 = 2. What is y?
  33. 33.Solve: 6t + 1 = 7. What is t?
  34. 34.Solve: 8x + 21 = 53. What is x?
  35. 35.Nisha is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  36. 36.Solve: 4y + 2 = 46. What is y?
  37. 37.Farhan is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  38. 38.Solve: 9y − 21 = 114. What is y?
  39. 39.Solve: 5(t + 8) = 75. What is t?
  40. 40.Nisha thinks of a number, multiplies it by 8 and then adds 17. The result is 121. What is the number?

Answer key

  1. 11
  2. 18
  3. 52
  4. 15
  5. 8
  6. 2
  7. 15
  8. 24
  9. 7
  10. 4
  11. 11
  12. 12
  13. 11
  14. 10
  15. 1
  16. 9
  17. 15
  18. 5
  19. 11
  20. 12
  21. 12
  22. 8
  23. 4
  24. 13
  25. 7
  26. 66
  27. 5
  28. 15
  29. 6
  30. 9
  31. 8
  32. 6
  33. 1
  34. 4
  35. 7
  36. 11
  37. 9
  38. 15
  39. 7
  40. 13

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