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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 982 · 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.Isha thinks of a number, multiplies it by 2 and then adds 14. The result is 44. What is the number?
  2. 2.Farhan’s mother is three times as old as Farhan. Their ages add up to 56 years. How old is Farhan?
  3. 3.Solve: 5x + 11 = 46. What is x?
  4. 4.Solve: n/6 + 10 = 23. What is n?
  5. 5.Meera is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  6. 6.Solve: 5t + 24 = 54. What is t?
  7. 7.Solve: 7(y + 8) = 119. What is y?
  8. 8.Solve: 5(x + 8) = 80. What is x?
  9. 9.Solve: 2(x + 1) = 20. What is x?
  10. 10.Solve: p/8 + 7 = 16. What is p?
  11. 11.Solve: 8t + 15 = 127. What is t?
  12. 12.Solve: 4y + 24 = 40. What is y?
  13. 13.Rahul thinks of a number, multiplies it by 4 and then adds 21. The result is 33. What is the number?
  14. 14.Zoya thinks of a number, multiplies it by 8 and then adds 17. The result is 57. What is the number?
  15. 15.Ishaan is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  16. 16.Solve: 2y + 12 = 38. What is y?
  17. 17.Nisha is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  18. 18.Solve: 2x − 6 = 2. What is x?
  19. 19.Solve: 8t + 25 = 121. What is t?
  20. 20.Solve: 3n − 36 = 3. What is n?
  21. 21.Solve: p/4 + 2 = 3. What is p?
  22. 22.Solve: 2p + 24 = 52. What is p?
  23. 23.Solve: m/7 + 4 = 14. What is m?
  24. 24.Solve: y/6 + 10 = 23. What is y?
  25. 25.Arjun is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  26. 26.Solve: 5y + 25 = 65. What is y?
  27. 27.Solve: 3x − 2 = 25. What is x?
  28. 28.Zoya thinks of a number, multiplies it by 9 and then adds 2. The result is 128. What is the number?
  29. 29.Ananya thinks of a number, multiplies it by 2 and then adds 6. The result is 20. What is the number?
  30. 30.Solve: 6(x + 4) = 108. What is x?
  31. 31.Solve: m/6 + 17 = 28. What is m?
  32. 32.Solve: 3(t + 3) = 42. What is t?
  33. 33.Solve: 2x − 8 = 4. What is x?
  34. 34.Solve: t/6 + 13 = 23. What is t?
  35. 35.Pooja thinks of a number, multiplies it by 2 and then adds 2. The result is 22. What is the number?
  36. 36.Solve: 8(n + 6) = 80. What is n?
  37. 37.Sneha’s mother is three times as old as Sneha. Their ages add up to 36 years. How old is Sneha?
  38. 38.Solve: 9(t + 3) = 162. What is t?
  39. 39.Lakshmi thinks of a number, multiplies it by 3 and then adds 14. The result is 38. What is the number?
  40. 40.Solve: y/2 + 11 = 16. What is y?

Answer key

  1. 15
  2. 14
  3. 7
  4. 78
  5. 13
  6. 6
  7. 9
  8. 8
  9. 9
  10. 72
  11. 14
  12. 4
  13. 3
  14. 5
  15. 10
  16. 13
  17. 11
  18. 4
  19. 12
  20. 13
  21. 4
  22. 14
  23. 70
  24. 78
  25. 7
  26. 8
  27. 9
  28. 14
  29. 7
  30. 14
  31. 66
  32. 11
  33. 6
  34. 60
  35. 10
  36. 4
  37. 9
  38. 15
  39. 8
  40. 10

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