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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 922 · 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: 7x + 7 = 35. What is x?
  2. 2.Solve: 3(y + 7) = 42. What is y?
  3. 3.Solve: n/3 + 20 = 23. What is n?
  4. 4.Solve: 2p − 16 = 12. What is p?
  5. 5.Solve: x/7 + 5 = 11. What is x?
  6. 6.Solve: 9(t + 8) = 117. What is t?
  7. 7.Dev is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  8. 8.Lakshmi is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  9. 9.Solve: 6t + 27 = 81. What is t?
  10. 10.Joseph thinks of a number, multiplies it by 7 and then adds 5. The result is 96. What is the number?
  11. 11.Solve: 7p + 26 = 40. What is p?
  12. 12.Solve: 9(t + 6) = 135. What is t?
  13. 13.Joseph’s mother is three times as old as Joseph. Their ages add up to 48 years. How old is Joseph?
  14. 14.Vivaan thinks of a number, multiplies it by 7 and then adds 3. The result is 80. What is the number?
  15. 15.Solve: n/2 + 1 = 16. What is n?
  16. 16.Arjun is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  17. 17.Manav thinks of a number, multiplies it by 7 and then adds 10. The result is 59. What is the number?
  18. 18.Farhan thinks of a number, multiplies it by 4 and then adds 6. The result is 66. What is the number?
  19. 19.Ishaan thinks of a number, multiplies it by 4 and then adds 12. The result is 32. What is the number?
  20. 20.Riya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Solve: 4(t + 5) = 72. What is t?
  22. 22.Solve: m/5 + 7 = 12. What is m?
  23. 23.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  24. 24.Solve: 2y − 5 = 19. What is y?
  25. 25.Solve: n/4 + 16 = 29. What is n?
  26. 26.Solve: y/6 + 10 = 18. What is y?
  27. 27.Zoya’s mother is twice as old as Zoya. Their ages add up to 15 years. How old is Zoya?
  28. 28.Solve: 5m + 27 = 87. What is m?
  29. 29.Ishaan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  30. 30.Solve: m/3 + 4 = 19. What is m?
  31. 31.Solve: 2x + 19 = 25. What is x?
  32. 32.Solve: p/5 + 8 = 10. What is p?
  33. 33.Solve: 3(y + 4) = 18. What is y?
  34. 34.Solve: 7t − 27 = 8. What is t?
  35. 35.Solve: 9x − 3 = 51. What is x?
  36. 36.Rohan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  37. 37.Solve: 9t + 30 = 93. What is t?
  38. 38.Solve: 6m + 2 = 92. What is m?
  39. 39.Solve: 5(y + 5) = 45. What is y?
  40. 40.Solve: 7(x + 3) = 63. What is x?

Answer key

  1. 4
  2. 7
  3. 9
  4. 14
  5. 42
  6. 5
  7. 4
  8. 12
  9. 9
  10. 13
  11. 2
  12. 9
  13. 12
  14. 11
  15. 30
  16. 9
  17. 7
  18. 15
  19. 5
  20. 5
  21. 13
  22. 25
  23. 6
  24. 12
  25. 52
  26. 48
  27. 5
  28. 12
  29. 13
  30. 45
  31. 3
  32. 10
  33. 2
  34. 5
  35. 6
  36. 15
  37. 7
  38. 15
  39. 4
  40. 6

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