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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 843 · 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: 3x − 3 = 3. What is x?
  2. 2.Solve: 2p − 15 = 11. What is p?
  3. 3.Solve: 6p + 28 = 58. What is p?
  4. 4.Solve: 4n − 8 = 20. What is n?
  5. 5.Solve: 3p + 10 = 49. What is p?
  6. 6.Solve: 3(y + 3) = 15. What is y?
  7. 7.Nisha thinks of a number, multiplies it by 5 and then adds 9. The result is 64. What is the number?
  8. 8.Rahul is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  9. 9.Saanvi thinks of a number, multiplies it by 6 and then adds 22. The result is 28. What is the number?
  10. 10.Kavya thinks of a number, multiplies it by 2 and then adds 20. The result is 50. What is the number?
  11. 11.Diya thinks of a number, multiplies it by 7 and then adds 20. The result is 97. What is the number?
  12. 12.Solve: 5y + 9 = 19. What is y?
  13. 13.Isha thinks of a number, multiplies it by 7 and then adds 29. The result is 36. What is the number?
  14. 14.Solve: 4(y + 3) = 60. What is y?
  15. 15.Solve: 2p − 23 = 7. What is p?
  16. 16.Solve: 3t − 15 = 21. What is t?
  17. 17.Solve: 6x − 2 = 4. What is x?
  18. 18.Kabir is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  19. 19.Solve: 3p + 25 = 31. What is p?
  20. 20.Solve: m/6 + 13 = 26. What is m?
  21. 21.Pooja thinks of a number, multiplies it by 2 and then adds 5. The result is 29. What is the number?
  22. 22.Solve: y/8 + 9 = 20. What is y?
  23. 23.Solve: 2(p + 3) = 32. What is p?
  24. 24.Solve: 4(m + 9) = 76. What is m?
  25. 25.Solve: 9n + 9 = 81. What is n?
  26. 26.Solve: 3x − 1 = 8. What is x?
  27. 27.Tara thinks of a number, multiplies it by 8 and then adds 29. The result is 133. What is the number?
  28. 28.Solve: 6p − 25 = 17. What is p?
  29. 29.Aarav thinks of a number, multiplies it by 2 and then adds 1. The result is 9. What is the number?
  30. 30.Solve: x/7 + 9 = 13. What is x?
  31. 31.Solve: 9(m + 5) = 63. What is m?
  32. 32.Solve: 4(m + 2) = 48. What is m?
  33. 33.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 50 years. How old is Vivaan?
  34. 34.Dev is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  35. 35.Solve: 6n + 5 = 41. What is n?
  36. 36.Pooja is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  37. 37.Aarav is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  38. 38.Solve: n/4 + 19 = 32. What is n?
  39. 39.Priya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  40. 40.Solve: 3(p + 8) = 69. What is p?

Answer key

  1. 2
  2. 13
  3. 5
  4. 7
  5. 13
  6. 2
  7. 11
  8. 7
  9. 1
  10. 15
  11. 11
  12. 2
  13. 1
  14. 12
  15. 15
  16. 12
  17. 1
  18. 8
  19. 2
  20. 78
  21. 12
  22. 88
  23. 13
  24. 10
  25. 8
  26. 3
  27. 13
  28. 7
  29. 4
  30. 28
  31. 2
  32. 10
  33. 10
  34. 13
  35. 6
  36. 9
  37. 4
  38. 52
  39. 8
  40. 15

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