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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 703 · 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: 6x − 21 = 3. What is x?
  2. 2.Solve: y/7 + 10 = 25. What is y?
  3. 3.Solve: 9x − 6 = 21. What is x?
  4. 4.Solve: 6x − 19 = 71. What is x?
  5. 5.Solve: 3n − 7 = 17. What is n?
  6. 6.Solve: 6(x + 3) = 66. What is x?
  7. 7.Solve: t/4 + 8 = 14. What is t?
  8. 8.Gurpreet thinks of a number, multiplies it by 7 and then adds 14. The result is 21. What is the number?
  9. 9.Isha thinks of a number, multiplies it by 3 and then adds 17. The result is 38. What is the number?
  10. 10.Solve: n/6 + 6 = 21. What is n?
  11. 11.Rohan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  12. 12.Solve: 7x + 25 = 95. What is x?
  13. 13.Solve: 4(m + 9) = 76. What is m?
  14. 14.Solve: p/8 + 4 = 14. What is p?
  15. 15.Solve: n/2 + 5 = 16. What is n?
  16. 16.Solve: 9m + 26 = 53. What is m?
  17. 17.Isha’s mother is four times as old as Isha. Their ages add up to 60 years. How old is Isha?
  18. 18.Saanvi is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  19. 19.Solve: 3(n + 7) = 45. What is n?
  20. 20.Solve: 4(n + 1) = 44. What is n?
  21. 21.Solve: 9x + 8 = 143. What is x?
  22. 22.Solve: 8y − 49 = 31. What is y?
  23. 23.Priya’s mother is twice as old as Priya. Their ages add up to 15 years. How old is Priya?
  24. 24.Solve: x/3 + 3 = 18. What is x?
  25. 25.Solve: 9m − 61 = 20. What is m?
  26. 26.Solve: 3n + 16 = 49. What is n?
  27. 27.Solve: 3(y + 1) = 9. What is y?
  28. 28.Solve: m/9 + 4 = 7. What is m?
  29. 29.Solve: 3(y + 8) = 45. What is y?
  30. 30.Solve: 6(n + 9) = 96. What is n?
  31. 31.Dev thinks of a number, multiplies it by 3 and then adds 30. The result is 69. What is the number?
  32. 32.Solve: 2n + 6 = 28. What is n?
  33. 33.Pooja’s mother is three times as old as Pooja. Their ages add up to 24 years. How old is Pooja?
  34. 34.Solve: 7x − 46 = 10. What is x?
  35. 35.Solve: 6t + 21 = 27. What is t?
  36. 36.Solve: m/8 + 12 = 22. What is m?
  37. 37.Solve: 8p + 13 = 125. What is p?
  38. 38.Solve: 3(y + 1) = 18. What is y?
  39. 39.Solve: 4m − 16 = 16. What is m?
  40. 40.Solve: 8x − 45 = 59. What is x?

Answer key

  1. 4
  2. 105
  3. 3
  4. 15
  5. 8
  6. 8
  7. 24
  8. 1
  9. 7
  10. 90
  11. 5
  12. 10
  13. 10
  14. 80
  15. 22
  16. 3
  17. 12
  18. 10
  19. 8
  20. 10
  21. 15
  22. 10
  23. 5
  24. 45
  25. 9
  26. 11
  27. 2
  28. 27
  29. 7
  30. 7
  31. 13
  32. 11
  33. 6
  34. 8
  35. 1
  36. 80
  37. 14
  38. 5
  39. 8
  40. 13

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