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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 738 · 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.Farhan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  2. 2.Solve: 9(n + 8) = 189. What is n?
  3. 3.Karan thinks of a number, multiplies it by 3 and then adds 6. The result is 27. What is the number?
  4. 4.Karan thinks of a number, multiplies it by 4 and then adds 25. The result is 29. What is the number?
  5. 5.Solve: 2n − 12 = 12. What is n?
  6. 6.Solve: 6(m + 5) = 96. What is m?
  7. 7.Pooja thinks of a number, multiplies it by 6 and then adds 5. The result is 71. What is the number?
  8. 8.Solve: 6x + 30 = 120. What is x?
  9. 9.Solve: 8t + 22 = 126. What is t?
  10. 10.Solve: p/2 + 2 = 16. What is p?
  11. 11.Solve: 3y − 7 = 26. What is y?
  12. 12.Solve: 2(t + 2) = 10. What is t?
  13. 13.Solve: 6x − 17 = 19. What is x?
  14. 14.Solve: 9n + 22 = 58. What is n?
  15. 15.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 25 years. How old is Vivaan?
  16. 16.Solve: 6n + 22 = 76. What is n?
  17. 17.Solve: 4n + 10 = 18. What is n?
  18. 18.Solve: 9n − 48 = 15. What is n?
  19. 19.Solve: 3(x + 1) = 30. What is x?
  20. 20.Solve: 7(m + 3) = 98. What is m?
  21. 21.Solve: 4m − 3 = 21. What is m?
  22. 22.Solve: y/5 + 4 = 13. What is y?
  23. 23.Solve: 8x + 1 = 49. What is x?
  24. 24.Solve: 2(t + 7) = 36. What is t?
  25. 25.Solve: 8(p + 1) = 56. What is p?
  26. 26.Solve: 6m + 6 = 78. What is m?
  27. 27.Solve: 6n − 1 = 11. What is n?
  28. 28.Solve: t/6 + 19 = 34. What is t?
  29. 29.Solve: t/2 + 1 = 10. What is t?
  30. 30.Solve: 8p + 27 = 59. What is p?
  31. 31.Zoya’s mother is three times as old as Zoya. Their ages add up to 48 years. How old is Zoya?
  32. 32.Solve: p/5 + 5 = 20. What is p?
  33. 33.Solve: 3(x + 1) = 24. What is x?
  34. 34.Solve: m/2 + 18 = 21. What is m?
  35. 35.Solve: 3(x + 2) = 12. What is x?
  36. 36.Solve: 8(t + 3) = 136. What is t?
  37. 37.Solve: 6p − 4 = 20. What is p?
  38. 38.Solve: 6p − 18 = 48. What is p?
  39. 39.Solve: 8(t + 2) = 104. What is t?
  40. 40.Kabir thinks of a number, multiplies it by 4 and then adds 22. The result is 42. What is the number?

Answer key

  1. 12
  2. 13
  3. 7
  4. 1
  5. 12
  6. 11
  7. 11
  8. 15
  9. 13
  10. 28
  11. 11
  12. 3
  13. 6
  14. 4
  15. 5
  16. 9
  17. 2
  18. 7
  19. 9
  20. 11
  21. 6
  22. 45
  23. 6
  24. 11
  25. 6
  26. 12
  27. 2
  28. 90
  29. 18
  30. 4
  31. 12
  32. 75
  33. 7
  34. 6
  35. 2
  36. 14
  37. 4
  38. 11
  39. 11
  40. 5

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