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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 217 · 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: 7m + 2 = 100. What is m?
  2. 2.Solve: p/3 + 11 = 13. What is p?
  3. 3.Dev is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  4. 4.Solve: 5t − 51 = 4. What is t?
  5. 5.Solve: 9p − 26 = 28. What is p?
  6. 6.Solve: 6n − 18 = 60. What is n?
  7. 7.Karan is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  8. 8.Arjun’s mother is four times as old as Arjun. Their ages add up to 25 years. How old is Arjun?
  9. 9.Solve: 9x − 126 = 9. What is x?
  10. 10.Solve: 4t + 20 = 24. What is t?
  11. 11.Solve: 8(p + 5) = 72. What is p?
  12. 12.Solve: y/2 + 12 = 26. What is y?
  13. 13.Solve: 2t − 2 = 8. What is t?
  14. 14.Solve: 8p + 17 = 73. What is p?
  15. 15.Solve: 5y + 2 = 22. What is y?
  16. 16.Sneha thinks of a number, multiplies it by 4 and then adds 6. The result is 58. What is the number?
  17. 17.Solve: 2p − 4 = 2. What is p?
  18. 18.Solve: y/7 + 14 = 27. What is y?
  19. 19.Solve: 7(x + 7) = 133. What is x?
  20. 20.Solve: m/5 + 4 = 19. What is m?
  21. 21.Solve: 9x − 12 = 69. What is x?
  22. 22.Solve: 2p − 21 = 7. What is p?
  23. 23.Solve: 6y + 12 = 102. What is y?
  24. 24.Diya thinks of a number, multiplies it by 7 and then adds 9. The result is 44. What is the number?
  25. 25.Solve: 3y + 30 = 51. What is y?
  26. 26.Saanvi is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  27. 27.Solve: 9(y + 3) = 117. What is y?
  28. 28.Gurpreet is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  29. 29.Solve: 3t − 23 = 4. What is t?
  30. 30.Solve: 4(x + 4) = 76. What is x?
  31. 31.Solve: 2n − 22 = 2. What is n?
  32. 32.Solve: 7(p + 7) = 77. What is p?
  33. 33.Zoya thinks of a number, multiplies it by 5 and then adds 3. The result is 13. What is the number?
  34. 34.Solve: p/5 + 18 = 20. What is p?
  35. 35.Solve: x/6 + 4 = 11. What is x?
  36. 36.Rohan thinks of a number, multiplies it by 5 and then adds 4. The result is 19. What is the number?
  37. 37.Solve: 2(x + 9) = 36. What is x?
  38. 38.Diya’s mother is three times as old as Diya. Their ages add up to 20 years. How old is Diya?
  39. 39.Solve: 2y + 19 = 45. What is y?
  40. 40.Solve: x/8 + 17 = 31. What is x?

Answer key

  1. 14
  2. 6
  3. 15
  4. 11
  5. 6
  6. 13
  7. 12
  8. 5
  9. 15
  10. 1
  11. 4
  12. 28
  13. 5
  14. 7
  15. 4
  16. 13
  17. 3
  18. 91
  19. 12
  20. 75
  21. 9
  22. 14
  23. 15
  24. 5
  25. 7
  26. 5
  27. 10
  28. 9
  29. 9
  30. 15
  31. 12
  32. 4
  33. 2
  34. 10
  35. 42
  36. 3
  37. 9
  38. 5
  39. 13
  40. 112

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