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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 519 · 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: 6(n + 6) = 78. What is n?
  2. 2.Solve: 3y − 19 = 5. What is y?
  3. 3.Solve: 4p − 1 = 23. What is p?
  4. 4.Solve: 4x − 29 = 7. What is x?
  5. 5.Farhan is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  6. 6.Riya’s mother is twice as old as Riya. Their ages add up to 45 years. How old is Riya?
  7. 7.Solve: 3(x + 9) = 51. What is x?
  8. 8.Solve: p/5 + 1 = 12. What is p?
  9. 9.Farhan thinks of a number, multiplies it by 7 and then adds 21. The result is 98. What is the number?
  10. 10.Solve: x/3 + 9 = 17. What is x?
  11. 11.Dev thinks of a number, multiplies it by 5 and then adds 15. The result is 30. What is the number?
  12. 12.Solve: 9m − 18 = 27. What is m?
  13. 13.Solve: 9m + 1 = 37. What is m?
  14. 14.Rahul thinks of a number, multiplies it by 7 and then adds 8. The result is 85. What is the number?
  15. 15.Tara is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Kabir thinks of a number, multiplies it by 4 and then adds 20. The result is 56. What is the number?
  17. 17.Vivaan thinks of a number, multiplies it by 3 and then adds 27. The result is 42. What is the number?
  18. 18.Solve: 3x − 16 = 11. What is x?
  19. 19.Solve: 9m − 19 = 98. What is m?
  20. 20.Solve: 4x − 1 = 3. What is x?
  21. 21.Dev thinks of a number, multiplies it by 8 and then adds 12. The result is 68. What is the number?
  22. 22.Lakshmi thinks of a number, multiplies it by 4 and then adds 30. The result is 70. What is the number?
  23. 23.Solve: 3t − 17 = 4. What is t?
  24. 24.Solve: 4(x + 8) = 76. What is x?
  25. 25.Ananya thinks of a number, multiplies it by 4 and then adds 17. The result is 33. What is the number?
  26. 26.Manav thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
  27. 27.Solve: 8m − 32 = 56. What is m?
  28. 28.Solve: p/6 + 18 = 23. What is p?
  29. 29.Solve: 6(y + 8) = 114. What is y?
  30. 30.Solve: 3y + 6 = 12. What is y?
  31. 31.Solve: p/2 + 17 = 23. What is p?
  32. 32.Solve: t/7 + 17 = 24. What is t?
  33. 33.Solve: 4p − 19 = 1. What is p?
  34. 34.Solve: 2n + 6 = 10. What is n?
  35. 35.Solve: p/3 + 8 = 11. What is p?
  36. 36.Solve: x/6 + 1 = 6. What is x?
  37. 37.Solve: 2m + 12 = 40. What is m?
  38. 38.Solve: p/3 + 9 = 13. What is p?
  39. 39.Solve: 9n − 8 = 1. What is n?
  40. 40.Solve: 3(x + 6) = 60. What is x?

Answer key

  1. 7
  2. 8
  3. 6
  4. 9
  5. 9
  6. 15
  7. 8
  8. 55
  9. 11
  10. 24
  11. 3
  12. 5
  13. 4
  14. 11
  15. 12
  16. 9
  17. 5
  18. 9
  19. 13
  20. 1
  21. 7
  22. 10
  23. 7
  24. 11
  25. 4
  26. 5
  27. 11
  28. 30
  29. 11
  30. 2
  31. 12
  32. 49
  33. 5
  34. 2
  35. 9
  36. 30
  37. 14
  38. 12
  39. 1
  40. 14

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