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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 396 · 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: 6t − 70 = 20. What is t?
  2. 2.Solve: 7(m + 7) = 119. What is m?
  3. 3.Solve: 7(p + 3) = 35. What is p?
  4. 4.Solve: m/8 + 12 = 21. What is m?
  5. 5.Solve: 5m + 19 = 79. What is m?
  6. 6.Solve: n/6 + 15 = 25. What is n?
  7. 7.Dev is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  8. 8.Solve: 4n − 19 = 41. What is n?
  9. 9.Saanvi is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  10. 10.Solve: 8(y + 2) = 72. What is y?
  11. 11.Vivaan thinks of a number, multiplies it by 3 and then adds 18. The result is 39. What is the number?
  12. 12.Solve: 6(x + 1) = 54. What is x?
  13. 13.Solve: 6x + 4 = 88. What is x?
  14. 14.Sneha thinks of a number, multiplies it by 5 and then adds 18. The result is 63. What is the number?
  15. 15.Solve: 9t + 30 = 39. What is t?
  16. 16.Solve: 3t + 19 = 46. What is t?
  17. 17.Joseph thinks of a number, multiplies it by 8 and then adds 7. The result is 31. What is the number?
  18. 18.Solve: 5x − 1 = 4. What is x?
  19. 19.Rahul thinks of a number, multiplies it by 8 and then adds 13. The result is 133. What is the number?
  20. 20.Solve: x/3 + 10 = 11. What is x?
  21. 21.Solve: 2(t + 9) = 22. What is t?
  22. 22.Solve: 3(p + 5) = 48. What is p?
  23. 23.Solve: 2x + 9 = 35. What is x?
  24. 24.Solve: 6(n + 8) = 60. What is n?
  25. 25.Solve: 2p + 8 = 20. What is p?
  26. 26.Solve: 5m + 6 = 31. What is m?
  27. 27.Solve: 5(y + 4) = 90. What is y?
  28. 28.Solve: 8m − 7 = 57. What is m?
  29. 29.Solve: 7(m + 9) = 126. What is m?
  30. 30.Solve: 4(p + 9) = 64. What is p?
  31. 31.Solve: 9x + 23 = 95. What is x?
  32. 32.Solve: 9(y + 3) = 162. What is y?
  33. 33.Solve: 2t + 23 = 49. What is t?
  34. 34.Isha thinks of a number, multiplies it by 8 and then adds 25. The result is 73. What is the number?
  35. 35.Farhan thinks of a number, multiplies it by 5 and then adds 28. The result is 73. What is the number?
  36. 36.Vivaan thinks of a number, multiplies it by 5 and then adds 30. The result is 45. What is the number?
  37. 37.Solve: 7(y + 1) = 35. What is y?
  38. 38.Solve: 4(n + 5) = 36. What is n?
  39. 39.Solve: y/4 + 3 = 11. What is y?
  40. 40.Solve: 7(m + 3) = 77. What is m?

Answer key

  1. 15
  2. 10
  3. 2
  4. 72
  5. 12
  6. 60
  7. 8
  8. 15
  9. 6
  10. 7
  11. 7
  12. 8
  13. 14
  14. 9
  15. 1
  16. 9
  17. 3
  18. 1
  19. 15
  20. 3
  21. 2
  22. 11
  23. 13
  24. 2
  25. 6
  26. 5
  27. 14
  28. 8
  29. 9
  30. 7
  31. 8
  32. 15
  33. 13
  34. 6
  35. 9
  36. 3
  37. 4
  38. 4
  39. 32
  40. 8

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