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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 817 · 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.Ishaan is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  2. 2.Isha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  3. 3.Solve: 3p + 14 = 38. What is p?
  4. 4.Solve: 6n + 16 = 76. What is n?
  5. 5.Solve: 7(n + 3) = 35. What is n?
  6. 6.Solve: 5(m + 7) = 110. What is m?
  7. 7.Nisha thinks of a number, multiplies it by 3 and then adds 20. The result is 59. What is the number?
  8. 8.Dev thinks of a number, multiplies it by 3 and then adds 4. The result is 40. What is the number?
  9. 9.Solve: 6(p + 7) = 78. What is p?
  10. 10.Solve: m/5 + 1 = 14. What is m?
  11. 11.Solve: x/7 + 13 = 17. What is x?
  12. 12.Solve: 3m + 22 = 58. What is m?
  13. 13.Solve: y/2 + 16 = 23. What is y?
  14. 14.Rohan’s mother is four times as old as Rohan. Their ages add up to 75 years. How old is Rohan?
  15. 15.Riya thinks of a number, multiplies it by 7 and then adds 4. The result is 60. What is the number?
  16. 16.Farhan thinks of a number, multiplies it by 2 and then adds 14. The result is 20. What is the number?
  17. 17.Nisha’s mother is four times as old as Nisha. Their ages add up to 20 years. How old is Nisha?
  18. 18.Solve: 8x + 1 = 49. What is x?
  19. 19.Solve: 9p + 19 = 37. What is p?
  20. 20.Nisha is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  21. 21.Solve: x/4 + 19 = 31. What is x?
  22. 22.Solve: p/5 + 9 = 20. What is p?
  23. 23.Solve: 3n + 8 = 32. What is n?
  24. 24.Priya is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  25. 25.Solve: 3n − 3 = 15. What is n?
  26. 26.Solve: 5(x + 3) = 30. What is x?
  27. 27.Solve: n/6 + 15 = 23. What is n?
  28. 28.Sneha thinks of a number, multiplies it by 3 and then adds 11. The result is 17. What is the number?
  29. 29.Solve: 9t + 8 = 44. What is t?
  30. 30.Gurpreet thinks of a number, multiplies it by 7 and then adds 22. The result is 106. What is the number?
  31. 31.Solve: x/4 + 13 = 23. What is x?
  32. 32.Solve: 8y − 6 = 42. What is y?
  33. 33.Solve: 5(m + 3) = 45. What is m?
  34. 34.Solve: x/5 + 8 = 20. What is x?
  35. 35.Solve: 7x + 16 = 79. What is x?
  36. 36.Solve: 2(p + 2) = 6. What is p?
  37. 37.Solve: 6n + 3 = 27. What is n?
  38. 38.Solve: 4(m + 8) = 76. What is m?
  39. 39.Priya thinks of a number, multiplies it by 4 and then adds 10. The result is 26. What is the number?
  40. 40.Solve: 6y − 43 = 47. What is y?

Answer key

  1. 7
  2. 12
  3. 8
  4. 10
  5. 2
  6. 15
  7. 13
  8. 12
  9. 6
  10. 65
  11. 28
  12. 12
  13. 14
  14. 15
  15. 8
  16. 3
  17. 4
  18. 6
  19. 2
  20. 9
  21. 48
  22. 55
  23. 8
  24. 10
  25. 6
  26. 3
  27. 48
  28. 2
  29. 4
  30. 12
  31. 40
  32. 6
  33. 6
  34. 60
  35. 9
  36. 1
  37. 4
  38. 11
  39. 4
  40. 15

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