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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 605 · 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.Joseph thinks of a number, multiplies it by 4 and then adds 3. The result is 11. What is the number?
  2. 2.Solve: 6(m + 1) = 54. What is m?
  3. 3.Solve: 2p − 13 = 11. What is p?
  4. 4.Solve: 6y + 1 = 91. What is y?
  5. 5.Solve: p/4 + 13 = 21. What is p?
  6. 6.Solve: 2x − 1 = 1. What is x?
  7. 7.Solve: 3(t + 9) = 72. What is t?
  8. 8.Solve: 3y + 4 = 28. What is y?
  9. 9.Solve: p/5 + 11 = 23. What is p?
  10. 10.Solve: 5y + 4 = 14. What is y?
  11. 11.Solve: 6p − 2 = 4. What is p?
  12. 12.Solve: 7y − 37 = 47. What is y?
  13. 13.Solve: 9y + 6 = 141. What is y?
  14. 14.Solve: 2(y + 5) = 26. What is y?
  15. 15.Pooja is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  16. 16.Solve: 5t + 16 = 56. What is t?
  17. 17.Dev thinks of a number, multiplies it by 2 and then adds 22. The result is 46. What is the number?
  18. 18.Solve: 9y + 23 = 95. What is y?
  19. 19.Solve: m/6 + 19 = 32. What is m?
  20. 20.Aarav is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Arjun’s mother is twice as old as Arjun. Their ages add up to 18 years. How old is Arjun?
  22. 22.Solve: 2m + 7 = 11. What is m?
  23. 23.Riya thinks of a number, multiplies it by 5 and then adds 18. The result is 33. What is the number?
  24. 24.Solve: n/5 + 4 = 6. What is n?
  25. 25.Solve: 3(p + 7) = 60. What is p?
  26. 26.Solve: 6n − 14 = 34. What is n?
  27. 27.Isha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  28. 28.Solve: 8m − 13 = 51. What is m?
  29. 29.Solve: 6n − 3 = 9. What is n?
  30. 30.Lakshmi thinks of a number, multiplies it by 9 and then adds 10. The result is 118. What is the number?
  31. 31.Solve: 8y + 12 = 108. What is y?
  32. 32.Solve: 4(m + 4) = 24. What is m?
  33. 33.Karan’s mother is twice as old as Karan. Their ages add up to 24 years. How old is Karan?
  34. 34.Solve: 6(x + 5) = 108. What is x?
  35. 35.Solve: 5p − 13 = 57. What is p?
  36. 36.Solve: 9(p + 5) = 144. What is p?
  37. 37.Joseph thinks of a number, multiplies it by 4 and then adds 26. The result is 38. What is the number?
  38. 38.Solve: y/9 + 16 = 27. What is y?
  39. 39.Ananya is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  40. 40.Solve: x/2 + 9 = 18. What is x?

Answer key

  1. 2
  2. 8
  3. 12
  4. 15
  5. 32
  6. 1
  7. 15
  8. 8
  9. 60
  10. 2
  11. 1
  12. 12
  13. 15
  14. 8
  15. 6
  16. 8
  17. 12
  18. 8
  19. 78
  20. 5
  21. 6
  22. 2
  23. 3
  24. 10
  25. 13
  26. 8
  27. 4
  28. 8
  29. 2
  30. 12
  31. 12
  32. 2
  33. 8
  34. 13
  35. 14
  36. 11
  37. 3
  38. 99
  39. 4
  40. 18

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