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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 692 · 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.Meera thinks of a number, multiplies it by 3 and then adds 24. The result is 39. What is the number?
  2. 2.Solve: 2n + 1 = 31. What is n?
  3. 3.Solve: 4x − 2 = 10. What is x?
  4. 4.Solve: p/8 + 5 = 19. What is p?
  5. 5.Dev’s mother is three times as old as Dev. Their ages add up to 44 years. How old is Dev?
  6. 6.Solve: 8m − 4 = 4. What is m?
  7. 7.Solve: y/7 + 1 = 6. What is y?
  8. 8.Solve: 4t − 1 = 7. What is t?
  9. 9.Solve: 8(x + 2) = 56. What is x?
  10. 10.Solve: 9x − 3 = 69. What is x?
  11. 11.Solve: 2m − 8 = 22. What is m?
  12. 12.Solve: 3m − 10 = 23. What is m?
  13. 13.Tara is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  14. 14.Rahul’s mother is four times as old as Rahul. Their ages add up to 65 years. How old is Rahul?
  15. 15.Riya thinks of a number, multiplies it by 6 and then adds 27. The result is 51. What is the number?
  16. 16.Solve: 7y − 21 = 21. What is y?
  17. 17.Solve: 7n + 10 = 87. What is n?
  18. 18.Solve: n/9 + 8 = 20. What is n?
  19. 19.Solve: 6n + 10 = 58. What is n?
  20. 20.Solve: 2(y + 4) = 12. What is y?
  21. 21.Solve: 4m + 2 = 38. What is m?
  22. 22.Solve: t/4 + 14 = 16. What is t?
  23. 23.Karan’s mother is twice as old as Karan. Their ages add up to 18 years. How old is Karan?
  24. 24.Solve: 9p + 9 = 63. What is p?
  25. 25.Solve: 6m − 2 = 4. What is m?
  26. 26.Solve: y/9 + 7 = 8. What is y?
  27. 27.Solve: y/4 + 1 = 10. What is y?
  28. 28.Solve: 7n + 19 = 75. What is n?
  29. 29.Solve: y/8 + 5 = 16. What is y?
  30. 30.Solve: 6p − 65 = 13. What is p?
  31. 31.Sneha is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  32. 32.Solve: 8x − 7 = 1. What is x?
  33. 33.Solve: 7(m + 9) = 70. What is m?
  34. 34.Aditya thinks of a number, multiplies it by 9 and then adds 10. The result is 145. What is the number?
  35. 35.Tara thinks of a number, multiplies it by 9 and then adds 3. The result is 93. What is the number?
  36. 36.Zoya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  37. 37.Solve: 2y − 21 = 9. What is y?
  38. 38.Meera is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  39. 39.Solve: 3(m + 2) = 39. What is m?
  40. 40.Solve: 7n − 96 = 2. What is n?

Answer key

  1. 5
  2. 15
  3. 3
  4. 112
  5. 11
  6. 1
  7. 35
  8. 2
  9. 5
  10. 8
  11. 15
  12. 11
  13. 11
  14. 13
  15. 4
  16. 6
  17. 11
  18. 108
  19. 8
  20. 2
  21. 9
  22. 8
  23. 6
  24. 6
  25. 1
  26. 9
  27. 36
  28. 8
  29. 88
  30. 13
  31. 4
  32. 1
  33. 1
  34. 15
  35. 10
  36. 5
  37. 15
  38. 14
  39. 11
  40. 14

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