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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 933 · 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: p/7 + 14 = 16. What is p?
  2. 2.Solve: 9n + 28 = 73. What is n?
  3. 3.Ishaan thinks of a number, multiplies it by 7 and then adds 23. The result is 72. What is the number?
  4. 4.Gurpreet thinks of a number, multiplies it by 7 and then adds 11. The result is 81. What is the number?
  5. 5.Solve: 4n − 14 = 42. What is n?
  6. 6.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  7. 7.Solve: 8m + 29 = 101. What is m?
  8. 8.Solve: 7m + 10 = 80. What is m?
  9. 9.Karan is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  10. 10.Solve: 3t − 2 = 1. What is t?
  11. 11.Kabir is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  12. 12.Solve: 5x − 10 = 5. What is x?
  13. 13.Solve: 6t + 1 = 67. What is t?
  14. 14.Solve: 2x − 1 = 27. What is x?
  15. 15.Solve: 5x + 10 = 70. What is x?
  16. 16.Arjun’s mother is three times as old as Arjun. Their ages add up to 44 years. How old is Arjun?
  17. 17.Nisha thinks of a number, multiplies it by 2 and then adds 9. The result is 19. What is the number?
  18. 18.Solve: n/6 + 7 = 17. What is n?
  19. 19.Saanvi is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  20. 20.Solve: 4m − 9 = 31. What is m?
  21. 21.Priya’s mother is three times as old as Priya. Their ages add up to 48 years. How old is Priya?
  22. 22.Solve: 2(x + 4) = 16. What is x?
  23. 23.Solve: 9(n + 7) = 90. What is n?
  24. 24.Solve: x/4 + 4 = 11. What is x?
  25. 25.Solve: 6(y + 6) = 60. What is y?
  26. 26.Solve: 7t + 2 = 37. What is t?
  27. 27.Solve: 4t − 11 = 5. What is t?
  28. 28.Solve: 2p − 4 = 8. What is p?
  29. 29.Diya thinks of a number, multiplies it by 9 and then adds 19. The result is 55. What is the number?
  30. 30.Solve: 9n − 96 = 12. What is n?
  31. 31.Ananya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  32. 32.Solve: n/9 + 13 = 24. What is n?
  33. 33.Pooja thinks of a number, multiplies it by 9 and then adds 22. The result is 31. What is the number?
  34. 34.Solve: 5p − 2 = 38. What is p?
  35. 35.Solve: 2t + 27 = 29. What is t?
  36. 36.Solve: 4m + 18 = 42. What is m?
  37. 37.Arjun’s mother is twice as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  38. 38.Solve: 7y + 6 = 104. What is y?
  39. 39.Solve: x/7 + 7 = 15. What is x?
  40. 40.Solve: 7t + 17 = 87. What is t?

Answer key

  1. 14
  2. 5
  3. 7
  4. 10
  5. 14
  6. 10
  7. 9
  8. 10
  9. 11
  10. 1
  11. 10
  12. 3
  13. 11
  14. 14
  15. 12
  16. 11
  17. 5
  18. 60
  19. 11
  20. 10
  21. 12
  22. 4
  23. 3
  24. 28
  25. 4
  26. 5
  27. 4
  28. 6
  29. 4
  30. 12
  31. 7
  32. 99
  33. 1
  34. 8
  35. 1
  36. 6
  37. 8
  38. 14
  39. 56
  40. 10

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