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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 322 · 40 sums
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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: 4(p + 6) = 60. What is p?
  2. 2.Joseph’s mother is three times as old as Joseph. Their ages add up to 28 years. How old is Joseph?
  3. 3.Riya’s mother is twice as old as Riya. Their ages add up to 24 years. How old is Riya?
  4. 4.Gurpreet thinks of a number, multiplies it by 2 and then adds 21. The result is 27. What is the number?
  5. 5.Solve: m/3 + 10 = 22. What is m?
  6. 6.Solve: 3t − 8 = 10. What is t?
  7. 7.Solve: 4(t + 5) = 24. What is t?
  8. 8.Solve: 9(p + 5) = 81. What is p?
  9. 9.Solve: y/2 + 9 = 20. What is y?
  10. 10.Solve: 8(t + 7) = 64. What is t?
  11. 11.Solve: y/3 + 13 = 22. What is y?
  12. 12.Solve: 6y + 7 = 25. What is y?
  13. 13.Gurpreet thinks of a number, multiplies it by 3 and then adds 17. The result is 53. What is the number?
  14. 14.Ananya thinks of a number, multiplies it by 2 and then adds 27. The result is 43. What is the number?
  15. 15.Solve: x/3 + 6 = 13. What is x?
  16. 16.Solve: 5n − 3 = 22. What is n?
  17. 17.Solve: 4(n + 6) = 40. What is n?
  18. 18.Zoya thinks of a number, multiplies it by 7 and then adds 25. The result is 81. What is the number?
  19. 19.Meera is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  20. 20.Kavya thinks of a number, multiplies it by 3 and then adds 18. The result is 36. What is the number?
  21. 21.Solve: 6(p + 3) = 72. What is p?
  22. 22.Rahul thinks of a number, multiplies it by 5 and then adds 2. The result is 27. What is the number?
  23. 23.Solve: 3m + 30 = 48. What is m?
  24. 24.Solve: 2n + 15 = 23. What is n?
  25. 25.Solve: 2p + 26 = 30. What is p?
  26. 26.Solve: t/6 + 19 = 31. What is t?
  27. 27.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 44 years. How old is Ishaan?
  28. 28.Solve: y/4 + 7 = 8. What is y?
  29. 29.Solve: 7y + 11 = 46. What is y?
  30. 30.Meera thinks of a number, multiplies it by 6 and then adds 12. The result is 78. What is the number?
  31. 31.Solve: 4m − 17 = 3. What is m?
  32. 32.Karan thinks of a number, multiplies it by 3 and then adds 16. The result is 37. What is the number?
  33. 33.Solve: 7p − 20 = 64. What is p?
  34. 34.Solve: 9n + 29 = 56. What is n?
  35. 35.Solve: 3p − 19 = 5. What is p?
  36. 36.Solve: 6x − 50 = 22. What is x?
  37. 37.Solve: x/6 + 1 = 8. What is x?
  38. 38.Solve: 6(p + 6) = 108. What is p?
  39. 39.Priya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  40. 40.Solve: 4n + 21 = 77. What is n?

Answer key

  1. 9
  2. 7
  3. 8
  4. 3
  5. 36
  6. 6
  7. 1
  8. 4
  9. 22
  10. 1
  11. 27
  12. 3
  13. 12
  14. 8
  15. 21
  16. 5
  17. 4
  18. 8
  19. 4
  20. 6
  21. 9
  22. 5
  23. 6
  24. 4
  25. 2
  26. 72
  27. 11
  28. 4
  29. 5
  30. 11
  31. 5
  32. 7
  33. 12
  34. 3
  35. 8
  36. 12
  37. 42
  38. 12
  39. 15
  40. 14

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