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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 385 · 40 sums
TalentJR

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: 5t + 25 = 70. What is t?
  2. 2.Solve: 7p − 4 = 24. What is p?
  3. 3.Arjun thinks of a number, multiplies it by 4 and then adds 18. The result is 70. What is the number?
  4. 4.Solve: 3y + 13 = 31. What is y?
  5. 5.Solve: 2t + 10 = 26. What is t?
  6. 6.Solve: 7(m + 8) = 84. What is m?
  7. 7.Kavya’s mother is four times as old as Kavya. Their ages add up to 40 years. How old is Kavya?
  8. 8.Solve: 9m + 30 = 57. What is m?
  9. 9.Solve: x/4 + 9 = 16. What is x?
  10. 10.Kavya thinks of a number, multiplies it by 6 and then adds 3. The result is 27. What is the number?
  11. 11.Pooja’s mother is twice as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  12. 12.Solve: t/4 + 5 = 10. What is t?
  13. 13.Solve: 9n + 4 = 112. What is n?
  14. 14.Solve: m/8 + 13 = 24. What is m?
  15. 15.Solve: 8(y + 8) = 168. What is y?
  16. 16.Dev is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  17. 17.Solve: p/7 + 1 = 16. What is p?
  18. 18.Solve: 6y + 28 = 52. What is y?
  19. 19.Isha is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  20. 20.Solve: 5(y + 4) = 30. What is y?
  21. 21.Solve: 9x − 115 = 20. What is x?
  22. 22.Solve: 6(y + 1) = 78. What is y?
  23. 23.Solve: 8(y + 2) = 112. What is y?
  24. 24.Solve: m/3 + 16 = 24. What is m?
  25. 25.Solve: p/3 + 6 = 8. What is p?
  26. 26.Solve: m/8 + 18 = 19. What is m?
  27. 27.Solve: 5m − 3 = 42. What is m?
  28. 28.Isha’s mother is three times as old as Isha. Their ages add up to 28 years. How old is Isha?
  29. 29.Solve: m/9 + 16 = 29. What is m?
  30. 30.Solve: 8x + 28 = 84. What is x?
  31. 31.Solve: 2(x + 6) = 14. What is x?
  32. 32.Solve: 6p + 8 = 26. What is p?
  33. 33.Solve: x/4 + 14 = 20. What is x?
  34. 34.Solve: n/6 + 4 = 5. What is n?
  35. 35.Solve: p/8 + 3 = 6. What is p?
  36. 36.Priya is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  37. 37.Meera is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  38. 38.Vivaan is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  39. 39.Isha is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  40. 40.Solve: 3p + 10 = 13. What is p?

Answer key

  1. 9
  2. 4
  3. 13
  4. 6
  5. 8
  6. 4
  7. 8
  8. 3
  9. 28
  10. 4
  11. 15
  12. 20
  13. 12
  14. 88
  15. 13
  16. 5
  17. 105
  18. 4
  19. 12
  20. 2
  21. 15
  22. 12
  23. 12
  24. 24
  25. 6
  26. 8
  27. 9
  28. 7
  29. 117
  30. 7
  31. 1
  32. 3
  33. 24
  34. 6
  35. 24
  36. 9
  37. 6
  38. 12
  39. 15
  40. 1

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