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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 241 · 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: 9p + 29 = 65. What is p?
  2. 2.Solve: t/9 + 7 = 19. What is t?
  3. 3.Solve: n/6 + 7 = 8. What is n?
  4. 4.Solve: 9p − 6 = 3. What is p?
  5. 5.Solve: x/9 + 20 = 28. What is x?
  6. 6.Solve: 4p − 1 = 3. What is p?
  7. 7.Solve: 6(p + 8) = 66. What is p?
  8. 8.Solve: 4(y + 9) = 72. What is y?
  9. 9.Solve: 3y + 22 = 40. What is y?
  10. 10.Solve: 4x + 2 = 54. What is x?
  11. 11.Solve: 2(y + 1) = 4. What is y?
  12. 12.Solve: p/9 + 17 = 20. What is p?
  13. 13.Solve: 7y + 18 = 116. What is y?
  14. 14.Solve: 9(m + 8) = 108. What is m?
  15. 15.Isha thinks of a number, multiplies it by 5 and then adds 16. The result is 71. What is the number?
  16. 16.Solve: 9(y + 2) = 45. What is y?
  17. 17.Nisha thinks of a number, multiplies it by 4 and then adds 16. The result is 56. What is the number?
  18. 18.Solve: 9(m + 7) = 99. What is m?
  19. 19.Solve: t/3 + 16 = 29. What is t?
  20. 20.Solve: 2(x + 4) = 34. What is x?
  21. 21.Solve: 9(m + 2) = 36. What is m?
  22. 22.Solve: 6(n + 4) = 78. What is n?
  23. 23.Nisha thinks of a number, multiplies it by 2 and then adds 20. The result is 42. What is the number?
  24. 24.Solve: 7(p + 6) = 70. What is p?
  25. 25.Aarav thinks of a number, multiplies it by 2 and then adds 24. The result is 48. What is the number?
  26. 26.Nisha thinks of a number, multiplies it by 8 and then adds 26. The result is 98. What is the number?
  27. 27.Solve: 6(y + 8) = 108. What is y?
  28. 28.Farhan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  29. 29.Solve: 5(t + 1) = 40. What is t?
  30. 30.Solve: 4y + 29 = 57. What is y?
  31. 31.Solve: 5(x + 9) = 50. What is x?
  32. 32.Solve: 6(p + 1) = 72. What is p?
  33. 33.Solve: n/2 + 18 = 19. What is n?
  34. 34.Nisha thinks of a number, multiplies it by 7 and then adds 3. The result is 31. What is the number?
  35. 35.Gurpreet thinks of a number, multiplies it by 4 and then adds 26. The result is 54. What is the number?
  36. 36.Solve: 2t + 30 = 34. What is t?
  37. 37.Riya thinks of a number, multiplies it by 9 and then adds 5. The result is 50. What is the number?
  38. 38.Solve: 2(t + 6) = 24. What is t?
  39. 39.Solve: 8m + 24 = 136. What is m?
  40. 40.Solve: 8t + 29 = 149. What is t?

Answer key

  1. 4
  2. 108
  3. 6
  4. 1
  5. 72
  6. 1
  7. 3
  8. 9
  9. 6
  10. 13
  11. 1
  12. 27
  13. 14
  14. 4
  15. 11
  16. 3
  17. 10
  18. 4
  19. 39
  20. 13
  21. 2
  22. 9
  23. 11
  24. 4
  25. 12
  26. 9
  27. 10
  28. 7
  29. 7
  30. 7
  31. 1
  32. 11
  33. 2
  34. 4
  35. 7
  36. 2
  37. 5
  38. 6
  39. 14
  40. 15

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