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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 948 · 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: p/6 + 8 = 9. What is p?
  2. 2.Solve: 9n + 22 = 139. What is n?
  3. 3.Kabir’s mother is four times as old as Kabir. Their ages add up to 55 years. How old is Kabir?
  4. 4.Lakshmi is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  5. 5.Solve: x/4 + 16 = 30. What is x?
  6. 6.Solve: 9x + 10 = 91. What is x?
  7. 7.Solve: 6(t + 4) = 36. What is t?
  8. 8.Solve: p/6 + 18 = 32. What is p?
  9. 9.Vivaan thinks of a number, multiplies it by 5 and then adds 30. The result is 70. What is the number?
  10. 10.Solve: 3x − 5 = 31. What is x?
  11. 11.Pooja thinks of a number, multiplies it by 6 and then adds 25. The result is 55. What is the number?
  12. 12.Aarav thinks of a number, multiplies it by 6 and then adds 22. The result is 64. What is the number?
  13. 13.Aarav is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  14. 14.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 60 years. How old is Gurpreet?
  15. 15.Solve: 5(t + 8) = 110. What is t?
  16. 16.Solve: 9(x + 3) = 108. What is x?
  17. 17.Solve: 2y + 3 = 7. What is y?
  18. 18.Solve: 3y − 31 = 11. What is y?
  19. 19.Meera’s mother is twice as old as Meera. Their ages add up to 45 years. How old is Meera?
  20. 20.Solve: 4m − 5 = 3. What is m?
  21. 21.Lakshmi thinks of a number, multiplies it by 9 and then adds 1. The result is 10. What is the number?
  22. 22.Solve: 2(t + 3) = 16. What is t?
  23. 23.Ananya thinks of a number, multiplies it by 4 and then adds 29. The result is 85. What is the number?
  24. 24.Solve: 7x − 59 = 32. What is x?
  25. 25.Solve: 9t − 14 = 13. What is t?
  26. 26.Solve: 6p + 16 = 100. What is p?
  27. 27.Pooja is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  28. 28.Manav is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  29. 29.Solve: 3x + 22 = 61. What is x?
  30. 30.Riya’s mother is twice as old as Riya. Their ages add up to 24 years. How old is Riya?
  31. 31.Dev’s mother is four times as old as Dev. Their ages add up to 35 years. How old is Dev?
  32. 32.Solve: 7y + 20 = 48. What is y?
  33. 33.Solve: 3p + 9 = 36. What is p?
  34. 34.Manav is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  35. 35.Aditya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Solve: y/4 + 2 = 9. What is y?
  37. 37.Solve: m/4 + 13 = 28. What is m?
  38. 38.Meera is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  39. 39.Solve: 8n − 13 = 19. What is n?
  40. 40.Solve: 3x − 25 = 20. What is x?

Answer key

  1. 6
  2. 13
  3. 11
  4. 9
  5. 56
  6. 9
  7. 2
  8. 84
  9. 8
  10. 12
  11. 5
  12. 7
  13. 11
  14. 12
  15. 14
  16. 9
  17. 2
  18. 14
  19. 15
  20. 2
  21. 1
  22. 5
  23. 14
  24. 13
  25. 3
  26. 14
  27. 9
  28. 11
  29. 13
  30. 8
  31. 7
  32. 4
  33. 9
  34. 15
  35. 6
  36. 28
  37. 60
  38. 10
  39. 4
  40. 15

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