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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 636 · 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.Ananya thinks of a number, multiplies it by 5 and then adds 3. The result is 38. What is the number?
  2. 2.Solve: p/7 + 14 = 20. What is p?
  3. 3.Solve: 6p + 24 = 78. What is p?
  4. 4.Solve: 3(m + 2) = 48. What is m?
  5. 5.Solve: 8(m + 4) = 80. What is m?
  6. 6.Gurpreet is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  7. 7.Solve: 7(t + 2) = 77. What is t?
  8. 8.Solve: 7(m + 1) = 112. What is m?
  9. 9.Saanvi is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  10. 10.Solve: 2t + 6 = 10. What is t?
  11. 11.Solve: y/8 + 13 = 17. What is y?
  12. 12.Farhan thinks of a number, multiplies it by 3 and then adds 6. The result is 21. What is the number?
  13. 13.Solve: x/7 + 3 = 9. What is x?
  14. 14.Pooja’s mother is twice as old as Pooja. Their ages add up to 15 years. How old is Pooja?
  15. 15.Manav thinks of a number, multiplies it by 5 and then adds 5. The result is 55. What is the number?
  16. 16.Solve: 8x + 16 = 64. What is x?
  17. 17.Solve: 7n − 7 = 14. What is n?
  18. 18.Aditya thinks of a number, multiplies it by 2 and then adds 12. The result is 22. What is the number?
  19. 19.Solve: 3m − 22 = 8. What is m?
  20. 20.Solve: y/4 + 4 = 18. What is y?
  21. 21.Solve: 5t − 3 = 47. What is t?
  22. 22.Solve: 8n + 4 = 36. What is n?
  23. 23.Solve: t/7 + 2 = 16. What is t?
  24. 24.Solve: 6(x + 4) = 54. What is x?
  25. 25.Solve: p/9 + 11 = 24. What is p?
  26. 26.Solve: 3x + 16 = 40. What is x?
  27. 27.Solve: 9y − 109 = 26. What is y?
  28. 28.Riya is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  29. 29.Karan thinks of a number, multiplies it by 4 and then adds 29. The result is 69. What is the number?
  30. 30.Solve: 3p + 17 = 32. What is p?
  31. 31.Solve: 7x − 2 = 54. What is x?
  32. 32.Solve: 6x + 10 = 28. What is x?
  33. 33.Solve: m/2 + 4 = 11. What is m?
  34. 34.Solve: 5y + 9 = 84. What is y?
  35. 35.Pooja thinks of a number, multiplies it by 9 and then adds 21. The result is 84. What is the number?
  36. 36.Aarav thinks of a number, multiplies it by 6 and then adds 24. The result is 36. What is the number?
  37. 37.Sneha’s mother is three times as old as Sneha. Their ages add up to 56 years. How old is Sneha?
  38. 38.Solve: 6(t + 9) = 120. What is t?
  39. 39.Solve: 9n − 11 = 34. What is n?
  40. 40.Arjun is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?

Answer key

  1. 7
  2. 42
  3. 9
  4. 14
  5. 6
  6. 13
  7. 9
  8. 15
  9. 6
  10. 2
  11. 32
  12. 5
  13. 42
  14. 5
  15. 10
  16. 6
  17. 3
  18. 5
  19. 10
  20. 56
  21. 10
  22. 4
  23. 98
  24. 5
  25. 117
  26. 8
  27. 15
  28. 14
  29. 10
  30. 5
  31. 8
  32. 3
  33. 14
  34. 15
  35. 7
  36. 2
  37. 14
  38. 11
  39. 5
  40. 15

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