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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 840 · 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.Priya thinks of a number, multiplies it by 5 and then adds 25. The result is 65. What is the number?
  2. 2.Karan’s mother is twice as old as Karan. Their ages add up to 36 years. How old is Karan?
  3. 3.Aarav thinks of a number, multiplies it by 3 and then adds 9. The result is 39. What is the number?
  4. 4.Manav’s mother is twice as old as Manav. Their ages add up to 33 years. How old is Manav?
  5. 5.Solve: 3n + 23 = 29. What is n?
  6. 6.Solve: 7(n + 3) = 28. What is n?
  7. 7.Solve: 4m − 7 = 5. What is m?
  8. 8.Pooja thinks of a number, multiplies it by 8 and then adds 1. The result is 49. What is the number?
  9. 9.Solve: x/4 + 18 = 32. What is x?
  10. 10.Solve: 8n + 25 = 65. What is n?
  11. 11.Solve: m/5 + 3 = 15. What is m?
  12. 12.Solve: 7(m + 5) = 49. What is m?
  13. 13.Meera thinks of a number, multiplies it by 5 and then adds 22. The result is 77. What is the number?
  14. 14.Saanvi is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  15. 15.Solve: 2t − 9 = 3. What is t?
  16. 16.Solve: 5y + 30 = 50. What is y?
  17. 17.Dev’s mother is twice as old as Dev. Their ages add up to 45 years. How old is Dev?
  18. 18.Kavya’s mother is three times as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  19. 19.Karan’s mother is twice as old as Karan. Their ages add up to 42 years. How old is Karan?
  20. 20.Solve: 6n + 15 = 93. What is n?
  21. 21.Solve: 2t − 6 = 14. What is t?
  22. 22.Solve: 5x − 3 = 7. What is x?
  23. 23.Rahul’s mother is four times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  24. 24.Meera thinks of a number, multiplies it by 9 and then adds 9. The result is 117. What is the number?
  25. 25.Solve: 7n + 6 = 69. What is n?
  26. 26.Solve: p/6 + 7 = 18. What is p?
  27. 27.Solve: 2(t + 3) = 26. What is t?
  28. 28.Solve: m/3 + 11 = 19. What is m?
  29. 29.Farhan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  30. 30.Solve: 9y − 15 = 48. What is y?
  31. 31.Solve: 8(y + 6) = 136. What is y?
  32. 32.Solve: 8m + 21 = 125. What is m?
  33. 33.Sneha’s mother is four times as old as Sneha. Their ages add up to 55 years. How old is Sneha?
  34. 34.Solve: 9y + 23 = 158. What is y?
  35. 35.Solve: 5n + 5 = 15. What is n?
  36. 36.Solve: x/5 + 20 = 32. What is x?
  37. 37.Solve: 2(t + 1) = 32. What is t?
  38. 38.Nisha thinks of a number, multiplies it by 9 and then adds 14. The result is 104. What is the number?
  39. 39.Kabir thinks of a number, multiplies it by 2 and then adds 11. The result is 41. What is the number?
  40. 40.Ananya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?

Answer key

  1. 8
  2. 12
  3. 10
  4. 11
  5. 2
  6. 1
  7. 3
  8. 6
  9. 56
  10. 5
  11. 60
  12. 2
  13. 11
  14. 14
  15. 6
  16. 4
  17. 15
  18. 6
  19. 14
  20. 13
  21. 10
  22. 2
  23. 4
  24. 12
  25. 9
  26. 66
  27. 10
  28. 24
  29. 7
  30. 7
  31. 11
  32. 13
  33. 11
  34. 15
  35. 2
  36. 60
  37. 15
  38. 10
  39. 15
  40. 5

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