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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 859 · 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 − 7 = 77. What is t?
  2. 2.Solve: 7y − 35 = 7. What is y?
  3. 3.Isha thinks of a number, multiplies it by 9 and then adds 29. The result is 155. What is the number?
  4. 4.Solve: 9(p + 5) = 63. What is p?
  5. 5.Solve: n/3 + 14 = 26. What is n?
  6. 6.Solve: 4(n + 1) = 40. What is n?
  7. 7.Kabir thinks of a number, multiplies it by 6 and then adds 24. The result is 78. What is the number?
  8. 8.Solve: 8(y + 5) = 152. What is y?
  9. 9.Meera thinks of a number, multiplies it by 8 and then adds 29. The result is 117. What is the number?
  10. 10.Solve: 2x + 25 = 35. What is x?
  11. 11.Solve: 6m − 72 = 6. What is m?
  12. 12.Isha thinks of a number, multiplies it by 8 and then adds 7. The result is 39. What is the number?
  13. 13.Solve: 6p + 21 = 87. What is p?
  14. 14.Solve: 4(y + 3) = 20. What is y?
  15. 15.Solve: 7n + 27 = 90. What is n?
  16. 16.Solve: 3n − 28 = 17. What is n?
  17. 17.Solve: 8(m + 6) = 152. What is m?
  18. 18.Solve: m/2 + 3 = 4. What is m?
  19. 19.Solve: y/3 + 15 = 24. What is y?
  20. 20.Aditya thinks of a number, multiplies it by 8 and then adds 9. The result is 33. What is the number?
  21. 21.Solve: y/9 + 1 = 16. What is y?
  22. 22.Solve: 2n + 20 = 36. What is n?
  23. 23.Solve: 2(x + 8) = 34. What is x?
  24. 24.Solve: 2y − 4 = 20. What is y?
  25. 25.Solve: 2x − 2 = 8. What is x?
  26. 26.Kavya thinks of a number, multiplies it by 9 and then adds 8. The result is 116. What is the number?
  27. 27.Dev’s mother is twice as old as Dev. Their ages add up to 30 years. How old is Dev?
  28. 28.Solve: n/4 + 1 = 7. What is n?
  29. 29.Solve: 3n + 29 = 65. What is n?
  30. 30.Solve: 4p + 3 = 35. What is p?
  31. 31.Solve: 2(x + 9) = 24. What is x?
  32. 32.Riya’s mother is four times as old as Riya. Their ages add up to 25 years. How old is Riya?
  33. 33.Solve: 2n + 8 = 22. What is n?
  34. 34.Ishaan thinks of a number, multiplies it by 5 and then adds 21. The result is 26. What is the number?
  35. 35.Gurpreet thinks of a number, multiplies it by 3 and then adds 22. The result is 46. What is the number?
  36. 36.Solve: 5p + 4 = 24. What is p?
  37. 37.Solve: p/8 + 3 = 11. What is p?
  38. 38.Solve: 7x − 2 = 5. What is x?
  39. 39.Solve: 8p + 24 = 104. What is p?
  40. 40.Solve: x/3 + 2 = 17. What is x?

Answer key

  1. 14
  2. 6
  3. 14
  4. 2
  5. 36
  6. 9
  7. 9
  8. 14
  9. 11
  10. 5
  11. 13
  12. 4
  13. 11
  14. 2
  15. 9
  16. 15
  17. 13
  18. 2
  19. 27
  20. 3
  21. 135
  22. 8
  23. 9
  24. 12
  25. 5
  26. 12
  27. 10
  28. 24
  29. 12
  30. 8
  31. 3
  32. 5
  33. 7
  34. 1
  35. 8
  36. 4
  37. 64
  38. 1
  39. 10
  40. 45

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