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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 913 · 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.Aditya thinks of a number, multiplies it by 4 and then adds 9. The result is 61. What is the number?
  2. 2.Priya thinks of a number, multiplies it by 5 and then adds 11. The result is 31. What is the number?
  3. 3.Pooja thinks of a number, multiplies it by 5 and then adds 26. The result is 56. What is the number?
  4. 4.Solve: 3n + 9 = 24. What is n?
  5. 5.Solve: 7(y + 9) = 112. What is y?
  6. 6.Solve: p/4 + 6 = 8. What is p?
  7. 7.Solve: 9m + 13 = 76. What is m?
  8. 8.Solve: 5t + 5 = 80. What is t?
  9. 9.Solve: 2(m + 7) = 22. What is m?
  10. 10.Solve: p/9 + 6 = 20. What is p?
  11. 11.Solve: 5(m + 1) = 10. What is m?
  12. 12.Gurpreet thinks of a number, multiplies it by 4 and then adds 27. The result is 79. What is the number?
  13. 13.Solve: n/2 + 5 = 6. What is n?
  14. 14.Solve: t/6 + 10 = 11. What is t?
  15. 15.Solve: y/8 + 10 = 20. What is y?
  16. 16.Solve: 5(t + 3) = 50. What is t?
  17. 17.Solve: 2x − 4 = 10. What is x?
  18. 18.Vivaan thinks of a number, multiplies it by 2 and then adds 20. The result is 32. What is the number?
  19. 19.Solve: p/8 + 9 = 18. What is p?
  20. 20.Isha is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  21. 21.Solve: 3t + 23 = 35. What is t?
  22. 22.Solve: m/8 + 19 = 22. What is m?
  23. 23.Solve: 3x − 2 = 7. What is x?
  24. 24.Solve: m/6 + 14 = 23. What is m?
  25. 25.Rohan thinks of a number, multiplies it by 3 and then adds 21. The result is 63. What is the number?
  26. 26.Solve: 2t + 4 = 22. What is t?
  27. 27.Solve: 9(t + 2) = 45. What is t?
  28. 28.Solve: 9t − 38 = 43. What is t?
  29. 29.Solve: 2n − 9 = 1. What is n?
  30. 30.Priya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  31. 31.Solve: 5x − 7 = 8. What is x?
  32. 32.Solve: 5t + 10 = 20. What is t?
  33. 33.Solve: 4(n + 5) = 24. What is n?
  34. 34.Solve: 3(n + 8) = 27. What is n?
  35. 35.Vivaan thinks of a number, multiplies it by 9 and then adds 8. The result is 125. What is the number?
  36. 36.Solve: 2(m + 9) = 24. What is m?
  37. 37.Joseph thinks of a number, multiplies it by 3 and then adds 5. The result is 32. What is the number?
  38. 38.Solve: p/7 + 10 = 15. What is p?
  39. 39.Solve: 3t + 15 = 60. What is t?
  40. 40.Rohan thinks of a number, multiplies it by 4 and then adds 14. The result is 38. What is the number?

Answer key

  1. 13
  2. 4
  3. 6
  4. 5
  5. 7
  6. 8
  7. 7
  8. 15
  9. 4
  10. 126
  11. 1
  12. 13
  13. 2
  14. 6
  15. 80
  16. 7
  17. 7
  18. 6
  19. 72
  20. 15
  21. 4
  22. 24
  23. 3
  24. 54
  25. 14
  26. 9
  27. 3
  28. 9
  29. 5
  30. 6
  31. 3
  32. 2
  33. 1
  34. 1
  35. 13
  36. 3
  37. 9
  38. 35
  39. 15
  40. 6

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