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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 277 · 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 + 4 = 14. What is x?
  2. 2.Solve: x/7 + 9 = 16. What is x?
  3. 3.Solve: y/6 + 7 = 11. What is y?
  4. 4.Karan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  5. 5.Solve: 6m + 21 = 45. What is m?
  6. 6.Solve: 3(m + 8) = 42. What is m?
  7. 7.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 32 years. How old is Saanvi?
  8. 8.Isha is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  9. 9.Solve: 3y − 11 = 31. What is y?
  10. 10.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 16 years. How old is Ishaan?
  11. 11.Solve: 7t + 10 = 80. What is t?
  12. 12.Zoya’s mother is four times as old as Zoya. Their ages add up to 30 years. How old is Zoya?
  13. 13.Solve: 6p + 20 = 110. What is p?
  14. 14.Pooja thinks of a number, multiplies it by 5 and then adds 12. The result is 57. What is the number?
  15. 15.Joseph is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  16. 16.Solve: n/6 + 13 = 22. What is n?
  17. 17.Solve: 8y + 1 = 33. What is y?
  18. 18.Solve: 5m + 6 = 76. What is m?
  19. 19.Solve: p/8 + 8 = 9. What is p?
  20. 20.Pooja thinks of a number, multiplies it by 2 and then adds 7. The result is 37. What is the number?
  21. 21.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  22. 22.Solve: p/4 + 13 = 15. What is p?
  23. 23.Solve: 3(y + 7) = 33. What is y?
  24. 24.Solve: 3(y + 8) = 30. What is y?
  25. 25.Vivaan thinks of a number, multiplies it by 8 and then adds 4. The result is 28. What is the number?
  26. 26.Ishaan thinks of a number, multiplies it by 2 and then adds 3. The result is 9. What is the number?
  27. 27.Lakshmi is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  28. 28.Solve: 8n − 89 = 31. What is n?
  29. 29.Solve: 6y + 17 = 83. What is y?
  30. 30.Solve: 8n + 10 = 58. What is n?
  31. 31.Dev thinks of a number, multiplies it by 9 and then adds 4. The result is 40. What is the number?
  32. 32.Solve: 6(p + 9) = 72. What is p?
  33. 33.Solve: 3p + 8 = 14. What is p?
  34. 34.Solve: 4n + 23 = 71. What is n?
  35. 35.Solve: 3p − 24 = 9. What is p?
  36. 36.Solve: 3n − 16 = 20. What is n?
  37. 37.Aarav thinks of a number, multiplies it by 3 and then adds 18. The result is 45. What is the number?
  38. 38.Kabir thinks of a number, multiplies it by 4 and then adds 20. The result is 52. What is the number?
  39. 39.Solve: 8x − 11 = 21. What is x?
  40. 40.Solve: 2(y + 9) = 46. What is y?

Answer key

  1. 70
  2. 49
  3. 24
  4. 8
  5. 4
  6. 6
  7. 8
  8. 10
  9. 14
  10. 4
  11. 10
  12. 6
  13. 15
  14. 9
  15. 4
  16. 54
  17. 4
  18. 14
  19. 8
  20. 15
  21. 6
  22. 8
  23. 4
  24. 2
  25. 3
  26. 3
  27. 12
  28. 15
  29. 11
  30. 6
  31. 4
  32. 3
  33. 2
  34. 12
  35. 11
  36. 12
  37. 9
  38. 8
  39. 4
  40. 14

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