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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 290 · 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: 2(p + 5) = 12. What is p?
  2. 2.Solve: 6(n + 2) = 54. What is n?
  3. 3.Solve: p/7 + 20 = 29. What is p?
  4. 4.Kabir thinks of a number, multiplies it by 7 and then adds 7. The result is 14. What is the number?
  5. 5.Aditya thinks of a number, multiplies it by 6 and then adds 8. The result is 80. What is the number?
  6. 6.Solve: 6t + 19 = 67. What is t?
  7. 7.Solve: x/8 + 16 = 23. What is x?
  8. 8.Solve: 2p − 6 = 10. What is p?
  9. 9.Solve: 2p + 19 = 31. What is p?
  10. 10.Solve: 6x − 10 = 14. What is x?
  11. 11.Solve: 3(y + 7) = 60. What is y?
  12. 12.Solve: 7t − 12 = 2. What is t?
  13. 13.Lakshmi is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  14. 14.Aarav is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  15. 15.Kabir’s mother is twice as old as Kabir. Their ages add up to 18 years. How old is Kabir?
  16. 16.Solve: 9(t + 8) = 117. What is t?
  17. 17.Solve: 3y + 9 = 36. What is y?
  18. 18.Solve: p/9 + 18 = 21. What is p?
  19. 19.Aarav thinks of a number, multiplies it by 7 and then adds 10. The result is 59. What is the number?
  20. 20.Solve: 2(y + 4) = 22. What is y?
  21. 21.Lakshmi thinks of a number, multiplies it by 8 and then adds 1. The result is 89. What is the number?
  22. 22.Solve: 7n − 8 = 90. What is n?
  23. 23.Farhan thinks of a number, multiplies it by 8 and then adds 5. The result is 77. What is the number?
  24. 24.Solve: 5(x + 5) = 50. What is x?
  25. 25.Solve: n/6 + 16 = 30. What is n?
  26. 26.Solve: 5p + 19 = 54. What is p?
  27. 27.Aditya thinks of a number, multiplies it by 2 and then adds 17. The result is 33. What is the number?
  28. 28.Solve: n/8 + 7 = 16. What is n?
  29. 29.Priya thinks of a number, multiplies it by 2 and then adds 16. The result is 42. What is the number?
  30. 30.Solve: 6(x + 2) = 36. What is x?
  31. 31.Solve: 3p − 1 = 35. What is p?
  32. 32.Solve: 4(y + 3) = 32. What is y?
  33. 33.Solve: 7(y + 6) = 119. What is y?
  34. 34.Solve: 5x − 7 = 3. What is x?
  35. 35.Solve: 2m + 10 = 12. What is m?
  36. 36.Solve: 2t − 10 = 12. What is t?
  37. 37.Solve: p/4 + 16 = 23. What is p?
  38. 38.Gurpreet is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  39. 39.Solve: 8p + 28 = 52. What is p?
  40. 40.Solve: 7n − 4 = 66. What is n?

Answer key

  1. 1
  2. 7
  3. 63
  4. 1
  5. 12
  6. 8
  7. 56
  8. 8
  9. 6
  10. 4
  11. 13
  12. 2
  13. 4
  14. 6
  15. 6
  16. 5
  17. 9
  18. 27
  19. 7
  20. 7
  21. 11
  22. 14
  23. 9
  24. 5
  25. 84
  26. 7
  27. 8
  28. 72
  29. 13
  30. 4
  31. 12
  32. 5
  33. 11
  34. 2
  35. 1
  36. 11
  37. 28
  38. 14
  39. 3
  40. 10

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