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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 734 · 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: 5n − 4 = 41. What is n?
  2. 2.Solve: 8x − 1 = 79. What is x?
  3. 3.Solve: 2y − 14 = 8. What is y?
  4. 4.Meera is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  5. 5.Aditya’s mother is twice as old as Aditya. Their ages add up to 15 years. How old is Aditya?
  6. 6.Solve: 3x − 2 = 1. What is x?
  7. 7.Solve: 4(p + 5) = 44. What is p?
  8. 8.Farhan is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  9. 9.Solve: p/2 + 9 = 24. What is p?
  10. 10.Solve: 4t − 13 = 11. What is t?
  11. 11.Solve: m/7 + 5 = 14. What is m?
  12. 12.Ananya’s mother is four times as old as Ananya. Their ages add up to 70 years. How old is Ananya?
  13. 13.Karan’s mother is three times as old as Karan. Their ages add up to 20 years. How old is Karan?
  14. 14.Ishaan thinks of a number, multiplies it by 2 and then adds 9. The result is 13. What is the number?
  15. 15.Solve: p/2 + 12 = 20. What is p?
  16. 16.Solve: 6x − 3 = 3. What is x?
  17. 17.Solve: y/3 + 20 = 33. What is y?
  18. 18.Solve: 3(x + 9) = 51. What is x?
  19. 19.Solve: 7m − 5 = 2. What is m?
  20. 20.Solve: 3t − 19 = 8. What is t?
  21. 21.Diya thinks of a number, multiplies it by 5 and then adds 7. The result is 47. What is the number?
  22. 22.Priya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  23. 23.Solve: 2n − 1 = 3. What is n?
  24. 24.Sneha thinks of a number, multiplies it by 5 and then adds 29. The result is 34. What is the number?
  25. 25.Solve: 3y + 30 = 72. What is y?
  26. 26.Solve: 2(m + 3) = 32. What is m?
  27. 27.Solve: t/5 + 2 = 5. What is t?
  28. 28.Nisha thinks of a number, multiplies it by 7 and then adds 26. The result is 47. What is the number?
  29. 29.Solve: 5n + 1 = 46. What is n?
  30. 30.Solve: 9(m + 4) = 90. What is m?
  31. 31.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 75 years. How old is Vivaan?
  32. 32.Solve: 7y − 41 = 43. What is y?
  33. 33.Riya thinks of a number, multiplies it by 2 and then adds 22. The result is 40. What is the number?
  34. 34.Solve: 9n + 6 = 78. What is n?
  35. 35.Solve: n/8 + 19 = 20. What is n?
  36. 36.Karan thinks of a number, multiplies it by 5 and then adds 17. The result is 42. What is the number?
  37. 37.Solve: 8n − 31 = 1. What is n?
  38. 38.Solve: 5(y + 9) = 65. What is y?
  39. 39.Aarav is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  40. 40.Isha thinks of a number, multiplies it by 9 and then adds 5. The result is 95. What is the number?

Answer key

  1. 9
  2. 10
  3. 11
  4. 10
  5. 5
  6. 1
  7. 6
  8. 9
  9. 30
  10. 6
  11. 63
  12. 14
  13. 5
  14. 2
  15. 16
  16. 1
  17. 39
  18. 8
  19. 1
  20. 9
  21. 8
  22. 9
  23. 2
  24. 1
  25. 14
  26. 13
  27. 15
  28. 3
  29. 9
  30. 6
  31. 15
  32. 12
  33. 9
  34. 8
  35. 8
  36. 5
  37. 4
  38. 4
  39. 12
  40. 10

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