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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 32 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Kavya thinks of a number, multiplies it by 3 and then adds 4. The result is 40. What is the number?
  2. 2.Dev thinks of a number, multiplies it by 6 and then adds 8. The result is 86. What is the number?
  3. 3.Solve: n/9 + 20 = 21. What is n?
  4. 4.Solve: m/8 + 3 = 4. What is m?
  5. 5.Solve: 9n − 8 = 1. What is n?
  6. 6.Solve: 4m − 9 = 23. What is m?
  7. 7.Solve: y/4 + 2 = 3. What is y?
  8. 8.Solve: 4y − 5 = 27. What is y?
  9. 9.Kabir is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  10. 10.Solve: 3p + 25 = 61. What is p?
  11. 11.Zoya thinks of a number, multiplies it by 8 and then adds 17. The result is 105. What is the number?
  12. 12.Tara’s mother is four times as old as Tara. Their ages add up to 35 years. How old is Tara?
  13. 13.Solve: 2(m + 7) = 18. What is m?
  14. 14.Solve: 7m + 6 = 13. What is m?
  15. 15.Solve: p/9 + 6 = 7. What is p?
  16. 16.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 42 years. How old is Vivaan?
  17. 17.Solve: 6m − 55 = 11. What is m?
  18. 18.Solve: 2t + 15 = 21. What is t?
  19. 19.Solve: 3t + 29 = 47. What is t?
  20. 20.Diya thinks of a number, multiplies it by 5 and then adds 1. The result is 6. What is the number?
  21. 21.Solve: 7(x + 6) = 84. What is x?
  22. 22.Solve: 8n + 26 = 66. What is n?
  23. 23.Solve: 3m + 13 = 58. What is m?
  24. 24.Solve: x/8 + 1 = 14. What is x?
  25. 25.Solve: 3x − 2 = 16. What is x?
  26. 26.Solve: 4x − 22 = 6. What is x?
  27. 27.Solve: 4t − 14 = 6. What is t?
  28. 28.Rohan’s mother is four times as old as Rohan. Their ages add up to 25 years. How old is Rohan?
  29. 29.Solve: t/7 + 7 = 10. What is t?
  30. 30.Aarav thinks of a number, multiplies it by 6 and then adds 17. The result is 35. What is the number?
  31. 31.Solve: 7m − 21 = 56. What is m?
  32. 32.Solve: 8p + 9 = 17. What is p?
  33. 33.Kabir thinks of a number, multiplies it by 4 and then adds 13. The result is 69. What is the number?
  34. 34.Zoya’s mother is four times as old as Zoya. Their ages add up to 55 years. How old is Zoya?
  35. 35.Solve: 5(x + 6) = 75. What is x?
  36. 36.Solve: 4y − 17 = 23. What is y?
  37. 37.Solve: n/4 + 17 = 20. What is n?
  38. 38.Solve: x/7 + 4 = 10. What is x?
  39. 39.Solve: 4t + 8 = 20. What is t?
  40. 40.Tara’s mother is four times as old as Tara. Their ages add up to 25 years. How old is Tara?

Answer key

  1. 12
  2. 13
  3. 9
  4. 8
  5. 1
  6. 8
  7. 4
  8. 8
  9. 12
  10. 12
  11. 11
  12. 7
  13. 2
  14. 1
  15. 9
  16. 14
  17. 11
  18. 3
  19. 6
  20. 1
  21. 6
  22. 5
  23. 15
  24. 104
  25. 6
  26. 7
  27. 5
  28. 5
  29. 21
  30. 3
  31. 11
  32. 1
  33. 14
  34. 11
  35. 9
  36. 10
  37. 12
  38. 42
  39. 3
  40. 5

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