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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 560 · 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: 4y + 11 = 71. What is y?
  2. 2.Solve: 2x − 15 = 11. What is x?
  3. 3.Gurpreet is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  4. 4.Solve: 6x − 15 = 39. What is x?
  5. 5.Solve: 3(p + 3) = 33. What is p?
  6. 6.Zoya thinks of a number, multiplies it by 7 and then adds 15. The result is 50. What is the number?
  7. 7.Solve: 4m − 3 = 1. What is m?
  8. 8.Solve: n/3 + 19 = 29. What is n?
  9. 9.Solve: 9y − 71 = 37. What is y?
  10. 10.Solve: 2t + 21 = 43. What is t?
  11. 11.Rahul thinks of a number, multiplies it by 6 and then adds 6. The result is 60. What is the number?
  12. 12.Solve: 3p − 1 = 5. What is p?
  13. 13.Solve: p/3 + 6 = 8. What is p?
  14. 14.Solve: 7m − 79 = 12. What is m?
  15. 15.Solve: 7(x + 9) = 105. What is x?
  16. 16.Rahul’s mother is twice as old as Rahul. Their ages add up to 15 years. How old is Rahul?
  17. 17.Solve: 7(p + 3) = 77. What is p?
  18. 18.Vivaan thinks of a number, multiplies it by 7 and then adds 10. The result is 38. What is the number?
  19. 19.Solve: 3n + 11 = 23. What is n?
  20. 20.Solve: 3x − 39 = 3. What is x?
  21. 21.Solve: 2y − 5 = 1. What is y?
  22. 22.Dev is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  23. 23.Solve: 4p + 30 = 62. What is p?
  24. 24.Solve: 2y + 29 = 51. What is y?
  25. 25.Priya’s mother is twice as old as Priya. Their ages add up to 24 years. How old is Priya?
  26. 26.Zoya’s mother is three times as old as Zoya. Their ages add up to 60 years. How old is Zoya?
  27. 27.Meera thinks of a number, multiplies it by 3 and then adds 6. The result is 15. What is the number?
  28. 28.Manav thinks of a number, multiplies it by 5 and then adds 3. The result is 73. What is the number?
  29. 29.Rohan thinks of a number, multiplies it by 4 and then adds 2. The result is 22. What is the number?
  30. 30.Solve: 9(y + 6) = 108. What is y?
  31. 31.Priya thinks of a number, multiplies it by 8 and then adds 28. The result is 132. What is the number?
  32. 32.Solve: 4p − 15 = 21. What is p?
  33. 33.Solve: 5n − 4 = 1. What is n?
  34. 34.Solve: 6x + 18 = 108. What is x?
  35. 35.Riya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  36. 36.Solve: 2t − 4 = 26. What is t?
  37. 37.Solve: 8t − 8 = 16. What is t?
  38. 38.Solve: 7p − 17 = 25. What is p?
  39. 39.Solve: 6t − 26 = 16. What is t?
  40. 40.Solve: 5(n + 4) = 70. What is n?

Answer key

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

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