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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 716 · 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 + 18 = 90. What is x?
  2. 2.Solve: 4n − 2 = 38. What is n?
  3. 3.Solve: 5(p + 5) = 40. What is p?
  4. 4.Solve: m/4 + 4 = 7. What is m?
  5. 5.Solve: y/6 + 19 = 28. What is y?
  6. 6.Solve: 3(y + 1) = 42. What is y?
  7. 7.Solve: 6y + 18 = 66. What is y?
  8. 8.Riya thinks of a number, multiplies it by 8 and then adds 11. The result is 51. What is the number?
  9. 9.Solve: 3t + 10 = 43. What is t?
  10. 10.Solve: 3y + 24 = 57. What is y?
  11. 11.Priya thinks of a number, multiplies it by 5 and then adds 20. The result is 50. What is the number?
  12. 12.Solve: 4m − 56 = 4. What is m?
  13. 13.Diya thinks of a number, multiplies it by 2 and then adds 10. The result is 20. What is the number?
  14. 14.Vivaan thinks of a number, multiplies it by 9 and then adds 14. The result is 77. What is the number?
  15. 15.Zoya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  16. 16.Joseph is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  17. 17.Riya’s mother is twice as old as Riya. Their ages add up to 30 years. How old is Riya?
  18. 18.Solve: 5p − 40 = 25. What is p?
  19. 19.Meera thinks of a number, multiplies it by 5 and then adds 24. The result is 94. What is the number?
  20. 20.Pooja is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  21. 21.Solve: 6y + 25 = 49. What is y?
  22. 22.Sneha’s mother is twice as old as Sneha. Their ages add up to 18 years. How old is Sneha?
  23. 23.Zoya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  24. 24.Solve: 5p − 4 = 11. What is p?
  25. 25.Solve: 6(x + 5) = 120. What is x?
  26. 26.Isha thinks of a number, multiplies it by 4 and then adds 5. The result is 17. What is the number?
  27. 27.Aarav thinks of a number, multiplies it by 6 and then adds 26. The result is 68. What is the number?
  28. 28.Solve: 3(p + 1) = 36. What is p?
  29. 29.Lakshmi thinks of a number, multiplies it by 9 and then adds 1. The result is 82. What is the number?
  30. 30.Solve: 6(t + 3) = 60. What is t?
  31. 31.Solve: 4(x + 3) = 56. What is x?
  32. 32.Joseph thinks of a number, multiplies it by 8 and then adds 18. The result is 98. What is the number?
  33. 33.Meera’s mother is three times as old as Meera. Their ages add up to 44 years. How old is Meera?
  34. 34.Solve: x/2 + 10 = 18. What is x?
  35. 35.Solve: 2y + 17 = 47. What is y?
  36. 36.Solve: 9m − 95 = 22. What is m?
  37. 37.Farhan thinks of a number, multiplies it by 8 and then adds 19. The result is 83. What is the number?
  38. 38.Solve: 9p − 18 = 99. What is p?
  39. 39.Solve: 4y + 15 = 59. What is y?
  40. 40.Solve: 9t + 2 = 83. What is t?

Answer key

  1. 12
  2. 10
  3. 3
  4. 12
  5. 54
  6. 13
  7. 8
  8. 5
  9. 11
  10. 11
  11. 6
  12. 15
  13. 5
  14. 7
  15. 14
  16. 13
  17. 10
  18. 13
  19. 14
  20. 6
  21. 4
  22. 6
  23. 8
  24. 3
  25. 15
  26. 3
  27. 7
  28. 11
  29. 9
  30. 7
  31. 11
  32. 10
  33. 11
  34. 16
  35. 15
  36. 13
  37. 8
  38. 13
  39. 11
  40. 9

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