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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 259 · 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: 4x + 1 = 41. What is x?
  2. 2.Rohan’s mother is three times as old as Rohan. Their ages add up to 16 years. How old is Rohan?
  3. 3.Ananya’s mother is four times as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  4. 4.Meera is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  5. 5.Aarav thinks of a number, multiplies it by 7 and then adds 24. The result is 122. What is the number?
  6. 6.Isha thinks of a number, multiplies it by 5 and then adds 14. The result is 64. What is the number?
  7. 7.Solve: 9n + 11 = 110. What is n?
  8. 8.Solve: 5n + 6 = 36. What is n?
  9. 9.Pooja thinks of a number, multiplies it by 2 and then adds 17. The result is 27. What is the number?
  10. 10.Solve: 9t − 22 = 14. What is t?
  11. 11.Aarav is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  12. 12.Solve: 9p − 54 = 18. What is p?
  13. 13.Solve: 4t − 19 = 25. What is t?
  14. 14.Meera thinks of a number, multiplies it by 7 and then adds 11. The result is 25. What is the number?
  15. 15.Ananya’s mother is twice as old as Ananya. Their ages add up to 36 years. How old is Ananya?
  16. 16.Solve: 2n − 1 = 1. What is n?
  17. 17.Solve: 9m − 39 = 6. What is m?
  18. 18.Solve: 2p + 28 = 58. What is p?
  19. 19.Solve: m/5 + 9 = 24. What is m?
  20. 20.Solve: x/6 + 7 = 12. What is x?
  21. 21.Solve: 6n − 22 = 32. What is n?
  22. 22.Manav’s mother is twice as old as Manav. Their ages add up to 24 years. How old is Manav?
  23. 23.Sneha thinks of a number, multiplies it by 2 and then adds 7. The result is 37. What is the number?
  24. 24.Solve: 2(p + 1) = 22. What is p?
  25. 25.Zoya is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  26. 26.Solve: 2x − 12 = 12. What is x?
  27. 27.Solve: 3y − 1 = 32. What is y?
  28. 28.Solve: 4(x + 4) = 56. What is x?
  29. 29.Rohan’s mother is three times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  30. 30.Solve: 8x + 5 = 85. What is x?
  31. 31.Solve: 9n + 7 = 70. What is n?
  32. 32.Solve: 9(t + 1) = 72. What is t?
  33. 33.Solve: 2m + 22 = 28. What is m?
  34. 34.Solve: 2p − 6 = 20. What is p?
  35. 35.Aarav thinks of a number, multiplies it by 3 and then adds 5. The result is 47. What is the number?
  36. 36.Solve: 8m + 10 = 58. What is m?
  37. 37.Lakshmi thinks of a number, multiplies it by 3 and then adds 17. The result is 26. What is the number?
  38. 38.Solve: 2p − 7 = 15. What is p?
  39. 39.Gurpreet thinks of a number, multiplies it by 4 and then adds 21. The result is 77. What is the number?
  40. 40.Solve: 7t + 29 = 134. What is t?

Answer key

  1. 10
  2. 4
  3. 6
  4. 11
  5. 14
  6. 10
  7. 11
  8. 6
  9. 5
  10. 4
  11. 14
  12. 8
  13. 11
  14. 2
  15. 12
  16. 1
  17. 5
  18. 15
  19. 75
  20. 30
  21. 9
  22. 8
  23. 15
  24. 10
  25. 13
  26. 12
  27. 11
  28. 10
  29. 5
  30. 10
  31. 7
  32. 7
  33. 3
  34. 13
  35. 14
  36. 6
  37. 3
  38. 11
  39. 14
  40. 15

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