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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 229 · 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: 3m − 15 = 15. What is m?
  2. 2.Solve: y/2 + 2 = 12. What is y?
  3. 3.Solve: 8(t + 5) = 56. What is t?
  4. 4.Solve: t/4 + 9 = 18. What is t?
  5. 5.Solve: 9y + 30 = 129. What is y?
  6. 6.Solve: 8t + 18 = 82. What is t?
  7. 7.Solve: p/6 + 1 = 3. What is p?
  8. 8.Karan is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  9. 9.Solve: 5y − 10 = 15. What is y?
  10. 10.Solve: n/2 + 13 = 20. What is n?
  11. 11.Solve: t/5 + 9 = 22. What is t?
  12. 12.Solve: 5(y + 4) = 60. What is y?
  13. 13.Solve: 2p − 14 = 14. What is p?
  14. 14.Solve: 4(m + 1) = 20. What is m?
  15. 15.Aditya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  16. 16.Lakshmi is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  17. 17.Rohan is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  18. 18.Pooja’s mother is four times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  19. 19.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  20. 20.Solve: 5m − 42 = 13. What is m?
  21. 21.Joseph thinks of a number, multiplies it by 2 and then adds 14. The result is 42. What is the number?
  22. 22.Solve: 4p − 29 = 31. What is p?
  23. 23.Solve: x/8 + 19 = 21. What is x?
  24. 24.Solve: p/6 + 15 = 18. What is p?
  25. 25.Solve: t/9 + 12 = 20. What is t?
  26. 26.Solve: p/6 + 17 = 26. What is p?
  27. 27.Solve: m/2 + 17 = 18. What is m?
  28. 28.Solve: 3y + 16 = 22. What is y?
  29. 29.Solve: 6x − 41 = 1. What is x?
  30. 30.Solve: 2y + 7 = 21. What is y?
  31. 31.Vivaan thinks of a number, multiplies it by 3 and then adds 14. The result is 53. What is the number?
  32. 32.Solve: 5x − 13 = 2. What is x?
  33. 33.Solve: p/4 + 13 = 28. What is p?
  34. 34.Solve: 9t + 25 = 70. What is t?
  35. 35.Dev is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  36. 36.Solve: 6(p + 4) = 42. What is p?
  37. 37.Solve: n/6 + 15 = 24. What is n?
  38. 38.Isha’s mother is twice as old as Isha. Their ages add up to 27 years. How old is Isha?
  39. 39.Solve: 8(t + 4) = 64. What is t?
  40. 40.Solve: 7n + 15 = 22. What is n?

Answer key

  1. 10
  2. 20
  3. 2
  4. 36
  5. 11
  6. 8
  7. 12
  8. 12
  9. 5
  10. 14
  11. 65
  12. 8
  13. 14
  14. 4
  15. 5
  16. 14
  17. 10
  18. 12
  19. 14
  20. 11
  21. 14
  22. 15
  23. 16
  24. 18
  25. 72
  26. 54
  27. 2
  28. 2
  29. 7
  30. 7
  31. 13
  32. 3
  33. 60
  34. 5
  35. 12
  36. 3
  37. 54
  38. 9
  39. 4
  40. 1

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