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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 665 · 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: 2n + 22 = 36. What is n?
  2. 2.Meera thinks of a number, multiplies it by 3 and then adds 4. The result is 13. What is the number?
  3. 3.Solve: 6(n + 8) = 78. What is n?
  4. 4.Solve: 4x + 24 = 36. What is x?
  5. 5.Solve: 6p − 6 = 36. What is p?
  6. 6.Solve: 6(y + 7) = 54. What is y?
  7. 7.Solve: 5p − 22 = 53. What is p?
  8. 8.Solve: 7p − 9 = 40. What is p?
  9. 9.Kavya’s mother is three times as old as Kavya. Their ages add up to 52 years. How old is Kavya?
  10. 10.Solve: t/5 + 17 = 18. What is t?
  11. 11.Solve: 2t + 17 = 23. What is t?
  12. 12.Solve: t/7 + 19 = 32. What is t?
  13. 13.Rahul’s mother is three times as old as Rahul. Their ages add up to 36 years. How old is Rahul?
  14. 14.Dev thinks of a number, multiplies it by 7 and then adds 26. The result is 117. What is the number?
  15. 15.Solve: 6p + 26 = 110. What is p?
  16. 16.Solve: 7y + 15 = 43. What is y?
  17. 17.Solve: 7x + 17 = 115. What is x?
  18. 18.Rohan is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  19. 19.Solve: 2y − 8 = 22. What is y?
  20. 20.Solve: 2x − 9 = 17. What is x?
  21. 21.Solve: 2n − 5 = 3. What is n?
  22. 22.Solve: 8m + 27 = 147. What is m?
  23. 23.Saanvi thinks of a number, multiplies it by 3 and then adds 18. The result is 48. What is the number?
  24. 24.Solve: m/4 + 2 = 14. What is m?
  25. 25.Solve: 4t + 24 = 84. What is t?
  26. 26.Gurpreet thinks of a number, multiplies it by 2 and then adds 17. The result is 39. What is the number?
  27. 27.Solve: 6t + 24 = 48. What is t?
  28. 28.Kabir is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  29. 29.Solve: n/2 + 4 = 11. What is n?
  30. 30.Solve: 8y − 37 = 51. What is y?
  31. 31.Solve: 6x − 10 = 74. What is x?
  32. 32.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 16 years. How old is Ishaan?
  33. 33.Zoya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  34. 34.Solve: 9(p + 8) = 198. What is p?
  35. 35.Solve: 6(y + 2) = 54. What is y?
  36. 36.Priya’s mother is twice as old as Priya. Their ages add up to 12 years. How old is Priya?
  37. 37.Solve: x/3 + 8 = 20. What is x?
  38. 38.Solve: 7n + 27 = 69. What is n?
  39. 39.Solve: 5(x + 1) = 40. What is x?
  40. 40.Solve: 6n + 25 = 43. What is n?

Answer key

  1. 7
  2. 3
  3. 5
  4. 3
  5. 7
  6. 2
  7. 15
  8. 7
  9. 13
  10. 5
  11. 3
  12. 91
  13. 9
  14. 13
  15. 14
  16. 4
  17. 14
  18. 7
  19. 15
  20. 13
  21. 4
  22. 15
  23. 10
  24. 48
  25. 15
  26. 11
  27. 4
  28. 7
  29. 14
  30. 11
  31. 14
  32. 4
  33. 5
  34. 14
  35. 7
  36. 4
  37. 36
  38. 6
  39. 7
  40. 3

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