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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 890 · 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: 5y + 24 = 49. What is y?
  2. 2.Ananya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  3. 3.Solve: 9n + 17 = 44. What is n?
  4. 4.Solve: m/3 + 5 = 11. What is m?
  5. 5.Solve: 7(p + 5) = 63. What is p?
  6. 6.Solve: 5t + 16 = 26. What is t?
  7. 7.Solve: m/7 + 19 = 24. What is m?
  8. 8.Solve: 2p − 7 = 7. What is p?
  9. 9.Karan is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  10. 10.Solve: y/9 + 15 = 29. What is y?
  11. 11.Solve: m/7 + 4 = 10. What is m?
  12. 12.Ananya thinks of a number, multiplies it by 7 and then adds 30. The result is 37. What is the number?
  13. 13.Manav thinks of a number, multiplies it by 2 and then adds 11. The result is 29. What is the number?
  14. 14.Priya thinks of a number, multiplies it by 2 and then adds 6. The result is 8. What is the number?
  15. 15.Solve: y/6 + 17 = 21. What is y?
  16. 16.Solve: 3m − 10 = 26. What is m?
  17. 17.Solve: 3y + 14 = 38. What is y?
  18. 18.Joseph’s mother is four times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  19. 19.Solve: 4(p + 9) = 72. What is p?
  20. 20.Zoya’s mother is twice as old as Zoya. Their ages add up to 12 years. How old is Zoya?
  21. 21.Solve: p/4 + 2 = 13. What is p?
  22. 22.Solve: 5y + 18 = 93. What is y?
  23. 23.Kavya’s mother is three times as old as Kavya. Their ages add up to 36 years. How old is Kavya?
  24. 24.Priya thinks of a number, multiplies it by 6 and then adds 5. The result is 17. What is the number?
  25. 25.Solve: 7(y + 2) = 70. What is y?
  26. 26.Solve: 5t − 20 = 40. What is t?
  27. 27.Solve: p/9 + 12 = 13. What is p?
  28. 28.Solve: t/8 + 20 = 21. What is t?
  29. 29.Solve: t/2 + 6 = 18. What is t?
  30. 30.Solve: 2y − 1 = 3. What is y?
  31. 31.Solve: 4t − 10 = 10. What is t?
  32. 32.Solve: p/6 + 18 = 31. What is p?
  33. 33.Solve: x/2 + 9 = 14. What is x?
  34. 34.Solve: p/3 + 13 = 19. What is p?
  35. 35.Solve: 8x − 34 = 14. What is x?
  36. 36.Solve: 2y + 10 = 36. What is y?
  37. 37.Solve: 9p − 25 = 38. What is p?
  38. 38.Kavya’s mother is three times as old as Kavya. Their ages add up to 28 years. How old is Kavya?
  39. 39.Solve: 8p − 2 = 22. What is p?
  40. 40.Tara is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?

Answer key

  1. 5
  2. 6
  3. 3
  4. 18
  5. 4
  6. 2
  7. 35
  8. 7
  9. 11
  10. 126
  11. 42
  12. 1
  13. 9
  14. 1
  15. 24
  16. 12
  17. 8
  18. 4
  19. 9
  20. 4
  21. 44
  22. 15
  23. 9
  24. 2
  25. 8
  26. 12
  27. 9
  28. 8
  29. 24
  30. 2
  31. 5
  32. 78
  33. 10
  34. 18
  35. 6
  36. 13
  37. 7
  38. 7
  39. 3
  40. 12

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