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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 600 · 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: 2t + 20 = 46. What is t?
  2. 2.Dev thinks of a number, multiplies it by 9 and then adds 9. The result is 90. What is the number?
  3. 3.Arjun is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  4. 4.Solve: 8m − 38 = 2. What is m?
  5. 5.Solve: p/9 + 13 = 15. What is p?
  6. 6.Solve: 7x + 26 = 96. What is x?
  7. 7.Solve: 4t + 9 = 25. What is t?
  8. 8.Solve: 7(p + 4) = 119. What is p?
  9. 9.Solve: x/3 + 8 = 11. What is x?
  10. 10.Solve: 8n + 1 = 49. What is n?
  11. 11.Solve: 6n − 71 = 1. What is n?
  12. 12.Solve: t/8 + 12 = 17. What is t?
  13. 13.Solve: 8n + 12 = 36. What is n?
  14. 14.Solve: x/9 + 11 = 15. What is x?
  15. 15.Solve: 6p + 8 = 38. What is p?
  16. 16.Solve: 7(p + 6) = 56. What is p?
  17. 17.Aditya thinks of a number, multiplies it by 2 and then adds 21. The result is 49. What is the number?
  18. 18.Solve: 9n + 4 = 13. What is n?
  19. 19.Pooja’s mother is twice as old as Pooja. Their ages add up to 27 years. How old is Pooja?
  20. 20.Solve: 6y − 26 = 46. What is y?
  21. 21.Solve: 7y + 9 = 100. What is y?
  22. 22.Solve: 3m − 7 = 8. What is m?
  23. 23.Solve: 4t + 14 = 74. What is t?
  24. 24.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  25. 25.Solve: 3n + 7 = 37. What is n?
  26. 26.Solve: 7(p + 6) = 119. What is p?
  27. 27.Solve: 6m + 1 = 31. What is m?
  28. 28.Solve: 2(t + 3) = 28. What is t?
  29. 29.Solve: n/9 + 2 = 14. What is n?
  30. 30.Solve: 2(x + 8) = 40. What is x?
  31. 31.Solve: 2m + 3 = 29. What is m?
  32. 32.Solve: 2n + 6 = 20. What is n?
  33. 33.Rahul thinks of a number, multiplies it by 7 and then adds 17. The result is 115. What is the number?
  34. 34.Solve: 7n − 56 = 14. What is n?
  35. 35.Saanvi thinks of a number, multiplies it by 3 and then adds 29. The result is 32. What is the number?
  36. 36.Solve: m/7 + 16 = 30. What is m?
  37. 37.Solve: 6(p + 4) = 96. What is p?
  38. 38.Arjun is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  39. 39.Gurpreet thinks of a number, multiplies it by 7 and then adds 20. The result is 111. What is the number?
  40. 40.Solve: x/8 + 17 = 24. What is x?

Answer key

  1. 13
  2. 9
  3. 14
  4. 5
  5. 18
  6. 10
  7. 4
  8. 13
  9. 9
  10. 6
  11. 12
  12. 40
  13. 3
  14. 36
  15. 5
  16. 2
  17. 14
  18. 1
  19. 9
  20. 12
  21. 13
  22. 5
  23. 15
  24. 6
  25. 10
  26. 11
  27. 5
  28. 11
  29. 108
  30. 12
  31. 13
  32. 7
  33. 14
  34. 10
  35. 1
  36. 98
  37. 12
  38. 14
  39. 13
  40. 56

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