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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 548 · 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: 7n + 5 = 12. What is n?
  2. 2.Solve: n/3 + 5 = 9. What is n?
  3. 3.Solve: 3p + 16 = 55. What is p?
  4. 4.Joseph is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  5. 5.Solve: 5y + 8 = 18. What is y?
  6. 6.Karan’s mother is twice as old as Karan. Their ages add up to 33 years. How old is Karan?
  7. 7.Gurpreet is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  8. 8.Solve: x/8 + 14 = 24. What is x?
  9. 9.Solve: m/4 + 3 = 11. What is m?
  10. 10.Solve: 9t + 24 = 33. What is t?
  11. 11.Solve: 3(x + 5) = 27. What is x?
  12. 12.Solve: 3n − 24 = 3. What is n?
  13. 13.Solve: 9(m + 2) = 81. What is m?
  14. 14.Solve: 6(p + 1) = 60. What is p?
  15. 15.Solve: 3x + 28 = 49. What is x?
  16. 16.Solve: 4(y + 5) = 64. What is y?
  17. 17.Solve: 4p + 6 = 10. What is p?
  18. 18.Ananya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  19. 19.Solve: 8t + 27 = 67. What is t?
  20. 20.Solve: 2n + 23 = 25. What is n?
  21. 21.Solve: 6(n + 3) = 90. What is n?
  22. 22.Rohan thinks of a number, multiplies it by 2 and then adds 5. The result is 15. What is the number?
  23. 23.Solve: 2x − 13 = 15. What is x?
  24. 24.Solve: x/9 + 8 = 11. What is x?
  25. 25.Solve: 8(x + 3) = 112. What is x?
  26. 26.Solve: 5t − 48 = 12. What is t?
  27. 27.Solve: 3(y + 4) = 48. What is y?
  28. 28.Solve: 6t − 68 = 16. What is t?
  29. 29.Solve: 2(m + 1) = 22. What is m?
  30. 30.Solve: x/5 + 3 = 17. What is x?
  31. 31.Solve: y/5 + 5 = 14. What is y?
  32. 32.Solve: 8n − 12 = 4. What is n?
  33. 33.Solve: y/8 + 5 = 7. What is y?
  34. 34.Solve: 4(p + 2) = 32. What is p?
  35. 35.Kabir thinks of a number, multiplies it by 4 and then adds 1. The result is 17. What is the number?
  36. 36.Solve: 6(p + 9) = 60. What is p?
  37. 37.Solve: t/5 + 6 = 18. What is t?
  38. 38.Solve: x/7 + 11 = 13. What is x?
  39. 39.Solve: 7x − 20 = 1. What is x?
  40. 40.Solve: 4y − 10 = 2. What is y?

Answer key

  1. 1
  2. 12
  3. 13
  4. 7
  5. 2
  6. 11
  7. 4
  8. 80
  9. 32
  10. 1
  11. 4
  12. 9
  13. 7
  14. 9
  15. 7
  16. 11
  17. 1
  18. 8
  19. 5
  20. 1
  21. 12
  22. 5
  23. 14
  24. 27
  25. 11
  26. 12
  27. 12
  28. 14
  29. 10
  30. 70
  31. 45
  32. 2
  33. 16
  34. 6
  35. 4
  36. 1
  37. 60
  38. 14
  39. 3
  40. 3

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