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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 436 · 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: x/7 + 17 = 21. What is x?
  2. 2.Solve: 7n + 23 = 44. What is n?
  3. 3.Solve: x/3 + 12 = 23. What is x?
  4. 4.Solve: 7t − 8 = 6. What is t?
  5. 5.Solve: 6(n + 3) = 60. What is n?
  6. 6.Solve: 8(m + 1) = 40. What is m?
  7. 7.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 27 years. How old is Lakshmi?
  8. 8.Solve: n/2 + 16 = 18. What is n?
  9. 9.Solve: n/4 + 4 = 11. What is n?
  10. 10.Solve: 6y + 20 = 44. What is y?
  11. 11.Solve: 3m + 25 = 67. What is m?
  12. 12.Solve: 2(m + 2) = 10. What is m?
  13. 13.Solve: 3x − 3 = 6. What is x?
  14. 14.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  15. 15.Solve: 3x + 28 = 52. What is x?
  16. 16.Solve: 8(x + 9) = 128. What is x?
  17. 17.Rohan thinks of a number, multiplies it by 7 and then adds 6. The result is 41. What is the number?
  18. 18.Solve: 3y + 13 = 58. What is y?
  19. 19.Solve: m/7 + 2 = 9. What is m?
  20. 20.Vivaan thinks of a number, multiplies it by 2 and then adds 1. The result is 13. What is the number?
  21. 21.Solve: 7x + 13 = 90. What is x?
  22. 22.Diya’s mother is twice as old as Diya. Their ages add up to 30 years. How old is Diya?
  23. 23.Pooja is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  24. 24.Solve: 4x + 28 = 32. What is x?
  25. 25.Solve: 3y + 1 = 28. What is y?
  26. 26.Kavya thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
  27. 27.Solve: 2y − 2 = 2. What is y?
  28. 28.Aditya thinks of a number, multiplies it by 2 and then adds 18. The result is 26. What is the number?
  29. 29.Solve: 8p + 11 = 27. What is p?
  30. 30.Gurpreet thinks of a number, multiplies it by 9 and then adds 16. The result is 115. What is the number?
  31. 31.Solve: y/9 + 7 = 12. What is y?
  32. 32.Solve: y/6 + 10 = 20. What is y?
  33. 33.Solve: x/4 + 16 = 22. What is x?
  34. 34.Solve: p/4 + 8 = 22. What is p?
  35. 35.Solve: 7y + 23 = 128. What is y?
  36. 36.Solve: t/9 + 11 = 20. What is t?
  37. 37.Solve: 9(y + 1) = 72. What is y?
  38. 38.Solve: 6x − 19 = 47. What is x?
  39. 39.Solve: 7(t + 7) = 98. What is t?
  40. 40.Diya thinks of a number, multiplies it by 2 and then adds 4. The result is 18. What is the number?

Answer key

  1. 28
  2. 3
  3. 33
  4. 2
  5. 7
  6. 4
  7. 9
  8. 4
  9. 28
  10. 4
  11. 14
  12. 3
  13. 3
  14. 10
  15. 8
  16. 7
  17. 5
  18. 15
  19. 49
  20. 6
  21. 11
  22. 10
  23. 7
  24. 1
  25. 9
  26. 1
  27. 2
  28. 4
  29. 2
  30. 11
  31. 45
  32. 60
  33. 24
  34. 56
  35. 15
  36. 81
  37. 7
  38. 11
  39. 7
  40. 7

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