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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 249 · 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: 9x + 26 = 152. What is x?
  2. 2.Solve: 8y − 1 = 23. What is y?
  3. 3.Solve: 5p − 58 = 7. What is p?
  4. 4.Solve: 4n + 27 = 87. What is n?
  5. 5.Karan is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  6. 6.Meera’s mother is twice as old as Meera. Their ages add up to 30 years. How old is Meera?
  7. 7.Solve: p/4 + 18 = 32. What is p?
  8. 8.Solve: p/5 + 2 = 16. What is p?
  9. 9.Solve: x/8 + 19 = 24. What is x?
  10. 10.Pooja thinks of a number, multiplies it by 5 and then adds 17. The result is 22. What is the number?
  11. 11.Solve: 9(n + 8) = 171. What is n?
  12. 12.Joseph thinks of a number, multiplies it by 5 and then adds 30. The result is 40. What is the number?
  13. 13.Solve: x/2 + 13 = 16. What is x?
  14. 14.Solve: 9p − 37 = 62. What is p?
  15. 15.Solve: 4(y + 2) = 40. What is y?
  16. 16.Solve: 8n − 31 = 1. What is n?
  17. 17.Solve: 2p + 24 = 38. What is p?
  18. 18.Solve: 4(n + 4) = 24. What is n?
  19. 19.Solve: 7y + 27 = 69. What is y?
  20. 20.Zoya is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  21. 21.Pooja thinks of a number, multiplies it by 8 and then adds 28. The result is 132. What is the number?
  22. 22.Solve: p/9 + 5 = 8. What is p?
  23. 23.Solve: 3(y + 4) = 51. What is y?
  24. 24.Priya thinks of a number, multiplies it by 9 and then adds 29. The result is 128. What is the number?
  25. 25.Solve: 4t − 5 = 19. What is t?
  26. 26.Solve: 5y − 29 = 1. What is y?
  27. 27.Ananya’s mother is four times as old as Ananya. Their ages add up to 60 years. How old is Ananya?
  28. 28.Solve: 4t − 14 = 38. What is t?
  29. 29.Solve: 9m − 22 = 59. What is m?
  30. 30.Gurpreet thinks of a number, multiplies it by 6 and then adds 28. The result is 118. What is the number?
  31. 31.Arjun’s mother is twice as old as Arjun. Their ages add up to 21 years. How old is Arjun?
  32. 32.Dev thinks of a number, multiplies it by 4 and then adds 14. The result is 74. What is the number?
  33. 33.Solve: 7p − 24 = 18. What is p?
  34. 34.Solve: t/5 + 3 = 12. What is t?
  35. 35.Solve: y/2 + 17 = 30. What is y?
  36. 36.Solve: 3y − 2 = 13. What is y?
  37. 37.Karan’s mother is four times as old as Karan. Their ages add up to 45 years. How old is Karan?
  38. 38.Diya thinks of a number, multiplies it by 8 and then adds 11. The result is 75. What is the number?
  39. 39.Kavya thinks of a number, multiplies it by 5 and then adds 9. The result is 64. What is the number?
  40. 40.Solve: 6(t + 5) = 48. What is t?

Answer key

  1. 14
  2. 3
  3. 13
  4. 15
  5. 11
  6. 10
  7. 56
  8. 70
  9. 40
  10. 1
  11. 11
  12. 2
  13. 6
  14. 11
  15. 8
  16. 4
  17. 7
  18. 2
  19. 6
  20. 11
  21. 13
  22. 27
  23. 13
  24. 11
  25. 6
  26. 6
  27. 12
  28. 13
  29. 9
  30. 15
  31. 7
  32. 15
  33. 6
  34. 45
  35. 26
  36. 5
  37. 9
  38. 8
  39. 11
  40. 3

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