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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 160 · 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: 7n + 22 = 120. What is n?
  2. 2.Pooja’s mother is twice as old as Pooja. Their ages add up to 21 years. How old is Pooja?
  3. 3.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 27 years. How old is Lakshmi?
  4. 4.Solve: t/6 + 5 = 16. What is t?
  5. 5.Rohan thinks of a number, multiplies it by 3 and then adds 15. The result is 54. What is the number?
  6. 6.Solve: 8m − 96 = 24. What is m?
  7. 7.Solve: 9y + 11 = 74. What is y?
  8. 8.Kavya thinks of a number, multiplies it by 4 and then adds 7. The result is 31. What is the number?
  9. 9.Arjun thinks of a number, multiplies it by 9 and then adds 7. The result is 106. What is the number?
  10. 10.Solve: 6(t + 4) = 60. What is t?
  11. 11.Solve: 2(m + 4) = 24. What is m?
  12. 12.Solve: 8y − 20 = 52. What is y?
  13. 13.Solve: 7(p + 3) = 70. What is p?
  14. 14.Solve: p/5 + 4 = 14. What is p?
  15. 15.Solve: x/4 + 16 = 22. What is x?
  16. 16.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  17. 17.Arjun is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  18. 18.Solve: 5(y + 8) = 45. What is y?
  19. 19.Vivaan thinks of a number, multiplies it by 5 and then adds 24. The result is 89. What is the number?
  20. 20.Aditya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  21. 21.Aditya’s mother is four times as old as Aditya. Their ages add up to 45 years. How old is Aditya?
  22. 22.Solve: x/8 + 10 = 14. What is x?
  23. 23.Solve: 3y − 10 = 17. What is y?
  24. 24.Solve: 5(p + 2) = 70. What is p?
  25. 25.Solve: 7y + 19 = 124. What is y?
  26. 26.Dev’s mother is twice as old as Dev. Their ages add up to 15 years. How old is Dev?
  27. 27.Solve: 2p + 3 = 17. What is p?
  28. 28.Solve: 8m − 3 = 5. What is m?
  29. 29.Solve: 5m − 1 = 69. What is m?
  30. 30.Isha’s mother is three times as old as Isha. Their ages add up to 60 years. How old is Isha?
  31. 31.Solve: 5y − 35 = 35. What is y?
  32. 32.Solve: p/6 + 17 = 26. What is p?
  33. 33.Diya’s mother is twice as old as Diya. Their ages add up to 45 years. How old is Diya?
  34. 34.Karan thinks of a number, multiplies it by 5 and then adds 18. The result is 33. What is the number?
  35. 35.Solve: p/7 + 7 = 14. What is p?
  36. 36.Riya’s mother is twice as old as Riya. Their ages add up to 24 years. How old is Riya?
  37. 37.Lakshmi is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  38. 38.Solve: p/3 + 18 = 32. What is p?
  39. 39.Solve: 7(y + 3) = 63. What is y?
  40. 40.Manav’s mother is four times as old as Manav. Their ages add up to 35 years. How old is Manav?

Answer key

  1. 14
  2. 7
  3. 9
  4. 66
  5. 13
  6. 15
  7. 7
  8. 6
  9. 11
  10. 6
  11. 8
  12. 9
  13. 7
  14. 50
  15. 24
  16. 12
  17. 5
  18. 1
  19. 13
  20. 9
  21. 9
  22. 32
  23. 9
  24. 12
  25. 15
  26. 5
  27. 7
  28. 1
  29. 14
  30. 15
  31. 14
  32. 54
  33. 15
  34. 3
  35. 49
  36. 8
  37. 8
  38. 42
  39. 6
  40. 7

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