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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 307 · 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: 7(p + 8) = 112. What is p?
  2. 2.Solve: m/6 + 5 = 12. What is m?
  3. 3.Aditya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  4. 4.Solve: 6x + 5 = 11. What is x?
  5. 5.Solve: 2n + 26 = 54. What is n?
  6. 6.Solve: x/9 + 9 = 22. What is x?
  7. 7.Solve: 2m − 16 = 14. What is m?
  8. 8.Solve: 7t − 12 = 2. What is t?
  9. 9.Solve: 4(n + 2) = 48. What is n?
  10. 10.Meera thinks of a number, multiplies it by 4 and then adds 20. The result is 72. What is the number?
  11. 11.Solve: t/8 + 20 = 28. What is t?
  12. 12.Solve: t/2 + 15 = 20. What is t?
  13. 13.Solve: 3y − 1 = 2. What is y?
  14. 14.Isha thinks of a number, multiplies it by 2 and then adds 26. The result is 42. What is the number?
  15. 15.Zoya thinks of a number, multiplies it by 9 and then adds 4. The result is 49. What is the number?
  16. 16.Sneha is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  17. 17.Solve: 7t + 15 = 43. What is t?
  18. 18.Solve: y/4 + 13 = 16. What is y?
  19. 19.Solve: 4y + 4 = 16. What is y?
  20. 20.Solve: 8(m + 3) = 40. What is m?
  21. 21.Karan’s mother is three times as old as Karan. Their ages add up to 44 years. How old is Karan?
  22. 22.Solve: 9p + 30 = 102. What is p?
  23. 23.Solve: 6m + 1 = 7. What is m?
  24. 24.Solve: 4(y + 6) = 28. What is y?
  25. 25.Solve: 3m − 1 = 11. What is m?
  26. 26.Solve: 3(t + 9) = 69. What is t?
  27. 27.Solve: 5x + 22 = 52. What is x?
  28. 28.Kavya is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  29. 29.Arjun thinks of a number, multiplies it by 3 and then adds 26. The result is 50. What is the number?
  30. 30.Kavya thinks of a number, multiplies it by 7 and then adds 27. The result is 132. What is the number?
  31. 31.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  32. 32.Solve: 9(m + 2) = 27. What is m?
  33. 33.Solve: p/4 + 4 = 13. What is p?
  34. 34.Solve: m/4 + 6 = 18. What is m?
  35. 35.Solve: 2n − 5 = 13. What is n?
  36. 36.Solve: 3y + 9 = 21. What is y?
  37. 37.Solve: 8p + 12 = 100. What is p?
  38. 38.Aarav thinks of a number, multiplies it by 9 and then adds 19. The result is 154. What is the number?
  39. 39.Solve: m/6 + 19 = 31. What is m?
  40. 40.Solve: y/5 + 17 = 20. What is y?

Answer key

  1. 8
  2. 42
  3. 9
  4. 1
  5. 14
  6. 117
  7. 15
  8. 2
  9. 10
  10. 13
  11. 64
  12. 10
  13. 1
  14. 8
  15. 5
  16. 7
  17. 4
  18. 12
  19. 3
  20. 2
  21. 11
  22. 8
  23. 1
  24. 1
  25. 4
  26. 14
  27. 6
  28. 9
  29. 8
  30. 15
  31. 15
  32. 1
  33. 36
  34. 48
  35. 9
  36. 4
  37. 11
  38. 15
  39. 72
  40. 15

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