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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 182 · 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: t/4 + 11 = 15. What is t?
  2. 2.Solve: 3(p + 9) = 39. What is p?
  3. 3.Solve: 8y − 46 = 66. What is y?
  4. 4.Solve: x/7 + 3 = 18. What is x?
  5. 5.Solve: 5(m + 4) = 70. What is m?
  6. 6.Solve: 4n + 5 = 21. What is n?
  7. 7.Joseph is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  8. 8.Solve: 8(n + 6) = 104. What is n?
  9. 9.Solve: t/8 + 7 = 10. What is t?
  10. 10.Diya’s mother is four times as old as Diya. Their ages add up to 75 years. How old is Diya?
  11. 11.Solve: 7y + 8 = 78. What is y?
  12. 12.Solve: 5(y + 2) = 30. What is y?
  13. 13.Solve: 9(p + 6) = 99. What is p?
  14. 14.Solve: x/4 + 4 = 11. What is x?
  15. 15.Solve: 7y − 37 = 68. What is y?
  16. 16.Solve: 2(n + 4) = 18. What is n?
  17. 17.Solve: 7(y + 3) = 35. What is y?
  18. 18.Vivaan thinks of a number, multiplies it by 4 and then adds 12. The result is 24. What is the number?
  19. 19.Solve: y/5 + 9 = 18. What is y?
  20. 20.Solve: 7m + 1 = 8. What is m?
  21. 21.Solve: 2x + 29 = 39. What is x?
  22. 22.Solve: 6(m + 1) = 12. What is m?
  23. 23.Solve: 2x + 25 = 47. What is x?
  24. 24.Solve: 3(n + 5) = 45. What is n?
  25. 25.Solve: 9(x + 1) = 54. What is x?
  26. 26.Solve: 9(m + 3) = 72. What is m?
  27. 27.Meera thinks of a number, multiplies it by 9 and then adds 6. The result is 60. What is the number?
  28. 28.Solve: y/2 + 14 = 28. What is y?
  29. 29.Solve: 9p + 28 = 100. What is p?
  30. 30.Solve: 2t − 4 = 2. What is t?
  31. 31.Solve: 2t − 9 = 3. What is t?
  32. 32.Solve: 3(m + 3) = 42. What is m?
  33. 33.Solve: 9y + 17 = 125. What is y?
  34. 34.Solve: 2t + 26 = 48. What is t?
  35. 35.Solve: 8(x + 1) = 32. What is x?
  36. 36.Solve: 7t + 17 = 45. What is t?
  37. 37.Solve: 8y + 15 = 111. What is y?
  38. 38.Solve: 2x − 2 = 2. What is x?
  39. 39.Rohan thinks of a number, multiplies it by 8 and then adds 12. The result is 116. What is the number?
  40. 40.Aarav is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?

Answer key

  1. 16
  2. 4
  3. 14
  4. 105
  5. 10
  6. 4
  7. 11
  8. 7
  9. 24
  10. 15
  11. 10
  12. 4
  13. 5
  14. 28
  15. 15
  16. 5
  17. 2
  18. 3
  19. 45
  20. 1
  21. 5
  22. 1
  23. 11
  24. 10
  25. 5
  26. 5
  27. 6
  28. 28
  29. 8
  30. 3
  31. 6
  32. 11
  33. 12
  34. 11
  35. 3
  36. 4
  37. 12
  38. 2
  39. 13
  40. 13

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