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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 69 · 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: 3p − 2 = 4. What is p?
  2. 2.Solve: 8(p + 3) = 96. What is p?
  3. 3.Pooja is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  4. 4.Kavya thinks of a number, multiplies it by 9 and then adds 12. The result is 21. What is the number?
  5. 5.Solve: 6y − 32 = 58. What is y?
  6. 6.Riya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  7. 7.Solve: y/7 + 7 = 8. What is y?
  8. 8.Solve: t/3 + 16 = 22. What is t?
  9. 9.Solve: 8(t + 4) = 40. What is t?
  10. 10.Solve: 5p + 10 = 30. What is p?
  11. 11.Solve: 8y + 6 = 38. What is y?
  12. 12.Solve: 6n − 25 = 23. What is n?
  13. 13.Kabir thinks of a number, multiplies it by 7 and then adds 11. The result is 32. What is the number?
  14. 14.Solve: 5t + 18 = 38. What is t?
  15. 15.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 45 years. How old is Gurpreet?
  16. 16.Solve: t/5 + 14 = 19. What is t?
  17. 17.Solve: 8x − 32 = 40. What is x?
  18. 18.Isha thinks of a number, multiplies it by 9 and then adds 28. The result is 118. What is the number?
  19. 19.Solve: 8(t + 9) = 184. What is t?
  20. 20.Dev thinks of a number, multiplies it by 9 and then adds 27. The result is 45. What is the number?
  21. 21.Rohan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  22. 22.Rohan is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  23. 23.Solve: 8x − 18 = 14. What is x?
  24. 24.Solve: 4p − 19 = 1. What is p?
  25. 25.Priya thinks of a number, multiplies it by 3 and then adds 2. The result is 17. What is the number?
  26. 26.Solve: 3n + 19 = 55. What is n?
  27. 27.Solve: 2m + 18 = 48. What is m?
  28. 28.Solve: 3(y + 3) = 45. What is y?
  29. 29.Solve: 3m + 19 = 46. What is m?
  30. 30.Aditya’s mother is four times as old as Aditya. Their ages add up to 35 years. How old is Aditya?
  31. 31.Solve: x/9 + 19 = 28. What is x?
  32. 32.Solve: 8m + 15 = 87. What is m?
  33. 33.Solve: 7t − 25 = 31. What is t?
  34. 34.Solve: m/6 + 19 = 21. What is m?
  35. 35.Solve: 6(x + 2) = 60. What is x?
  36. 36.Solve: 2p + 18 = 32. What is p?
  37. 37.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 18 years. How old is Gurpreet?
  38. 38.Pooja thinks of a number, multiplies it by 3 and then adds 23. The result is 44. What is the number?
  39. 39.Solve: 5y + 3 = 48. What is y?
  40. 40.Solve: y/6 + 1 = 9. What is y?

Answer key

  1. 2
  2. 9
  3. 10
  4. 1
  5. 15
  6. 15
  7. 7
  8. 18
  9. 1
  10. 4
  11. 4
  12. 8
  13. 3
  14. 4
  15. 15
  16. 25
  17. 9
  18. 10
  19. 14
  20. 2
  21. 7
  22. 15
  23. 4
  24. 5
  25. 5
  26. 12
  27. 15
  28. 12
  29. 9
  30. 7
  31. 81
  32. 9
  33. 8
  34. 12
  35. 8
  36. 7
  37. 6
  38. 7
  39. 9
  40. 48

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