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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 431 · 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.Arjun thinks of a number, multiplies it by 6 and then adds 14. The result is 26. What is the number?
  2. 2.Solve: 2x − 3 = 1. What is x?
  3. 3.Arjun thinks of a number, multiplies it by 9 and then adds 23. The result is 104. What is the number?
  4. 4.Solve: y/5 + 5 = 8. What is y?
  5. 5.Rohan thinks of a number, multiplies it by 5 and then adds 9. The result is 34. What is the number?
  6. 6.Solve: 8(y + 2) = 136. What is y?
  7. 7.Solve: 7(n + 3) = 63. What is n?
  8. 8.Solve: x/6 + 7 = 19. What is x?
  9. 9.Solve: 8(t + 3) = 96. What is t?
  10. 10.Solve: 9m + 30 = 102. What is m?
  11. 11.Solve: 2p − 14 = 2. What is p?
  12. 12.Solve: 8(t + 2) = 48. What is t?
  13. 13.Solve: 9(m + 3) = 126. What is m?
  14. 14.Joseph thinks of a number, multiplies it by 3 and then adds 30. The result is 69. What is the number?
  15. 15.Meera’s mother is twice as old as Meera. Their ages add up to 42 years. How old is Meera?
  16. 16.Solve: x/6 + 10 = 11. What is x?
  17. 17.Solve: n/2 + 11 = 13. What is n?
  18. 18.Solve: 4x + 8 = 12. What is x?
  19. 19.Solve: x/5 + 5 = 13. What is x?
  20. 20.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 16 years. How old is Saanvi?
  21. 21.Solve: 5t − 6 = 39. What is t?
  22. 22.Solve: 9x − 15 = 39. What is x?
  23. 23.Solve: 5x − 1 = 14. What is x?
  24. 24.Solve: 9(t + 5) = 54. What is t?
  25. 25.Solve: 6(p + 2) = 78. What is p?
  26. 26.Solve: y/8 + 8 = 21. What is y?
  27. 27.Sneha’s mother is twice as old as Sneha. Their ages add up to 18 years. How old is Sneha?
  28. 28.Solve: 2(p + 1) = 12. What is p?
  29. 29.Solve: 9(t + 7) = 198. What is t?
  30. 30.Solve: 8m − 64 = 16. What is m?
  31. 31.Zoya is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  32. 32.Solve: 3(y + 8) = 45. What is y?
  33. 33.Solve: 2m + 8 = 16. What is m?
  34. 34.Solve: 4x + 19 = 39. What is x?
  35. 35.Solve: 7m − 48 = 15. What is m?
  36. 36.Solve: 6t + 26 = 74. What is t?
  37. 37.Solve: 7x + 8 = 106. What is x?
  38. 38.Kabir thinks of a number, multiplies it by 9 and then adds 28. The result is 91. What is the number?
  39. 39.Solve: 7y − 6 = 64. What is y?
  40. 40.Solve: 2t + 13 = 21. What is t?

Answer key

  1. 2
  2. 2
  3. 9
  4. 15
  5. 5
  6. 15
  7. 6
  8. 72
  9. 9
  10. 8
  11. 8
  12. 4
  13. 11
  14. 13
  15. 14
  16. 6
  17. 4
  18. 1
  19. 40
  20. 4
  21. 9
  22. 6
  23. 3
  24. 1
  25. 11
  26. 104
  27. 6
  28. 5
  29. 15
  30. 10
  31. 14
  32. 7
  33. 4
  34. 5
  35. 9
  36. 8
  37. 14
  38. 7
  39. 10
  40. 4

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