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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 926 · 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.Vivaan thinks of a number, multiplies it by 8 and then adds 5. The result is 29. What is the number?
  2. 2.Solve: 5m − 1 = 4. What is m?
  3. 3.Solve: 9(x + 7) = 126. What is x?
  4. 4.Solve: 8t + 18 = 90. What is t?
  5. 5.Solve: 5t − 41 = 19. What is t?
  6. 6.Diya thinks of a number, multiplies it by 7 and then adds 9. The result is 107. What is the number?
  7. 7.Solve: 3p + 15 = 48. What is p?
  8. 8.Solve: 9(x + 8) = 171. What is x?
  9. 9.Kabir thinks of a number, multiplies it by 8 and then adds 16. The result is 56. What is the number?
  10. 10.Kabir thinks of a number, multiplies it by 7 and then adds 10. The result is 87. What is the number?
  11. 11.Karan thinks of a number, multiplies it by 3 and then adds 24. The result is 60. What is the number?
  12. 12.Solve: 8t + 10 = 90. What is t?
  13. 13.Solve: 6(p + 5) = 36. What is p?
  14. 14.Solve: 9(p + 3) = 54. What is p?
  15. 15.Solve: 9x − 12 = 105. What is x?
  16. 16.Solve: 5(p + 2) = 30. What is p?
  17. 17.Solve: 3m + 21 = 51. What is m?
  18. 18.Ishaan is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  19. 19.Nisha is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  20. 20.Saanvi thinks of a number, multiplies it by 9 and then adds 1. The result is 127. What is the number?
  21. 21.Solve: 7(x + 2) = 63. What is x?
  22. 22.Arjun’s mother is four times as old as Arjun. Their ages add up to 55 years. How old is Arjun?
  23. 23.Solve: t/7 + 15 = 28. What is t?
  24. 24.Nisha is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  25. 25.Solve: 2y + 12 = 34. What is y?
  26. 26.Solve: 7(y + 3) = 28. What is y?
  27. 27.Dev thinks of a number, multiplies it by 8 and then adds 2. The result is 82. What is the number?
  28. 28.Solve: 6(y + 4) = 36. What is y?
  29. 29.Riya is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  30. 30.Solve: 9(y + 1) = 117. What is y?
  31. 31.Solve: p/2 + 12 = 27. What is p?
  32. 32.Vivaan thinks of a number, multiplies it by 6 and then adds 9. The result is 57. What is the number?
  33. 33.Solve: m/4 + 17 = 29. What is m?
  34. 34.Kabir is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  35. 35.Solve: 4y + 13 = 49. What is y?
  36. 36.Solve: 3x − 28 = 2. What is x?
  37. 37.Priya thinks of a number, multiplies it by 6 and then adds 15. The result is 87. What is the number?
  38. 38.Solve: 5n + 21 = 81. What is n?
  39. 39.Solve: 8t − 9 = 39. What is t?
  40. 40.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?

Answer key

  1. 3
  2. 1
  3. 7
  4. 9
  5. 12
  6. 14
  7. 11
  8. 11
  9. 5
  10. 11
  11. 12
  12. 10
  13. 1
  14. 3
  15. 13
  16. 4
  17. 10
  18. 5
  19. 4
  20. 14
  21. 7
  22. 11
  23. 91
  24. 14
  25. 11
  26. 1
  27. 10
  28. 2
  29. 15
  30. 12
  31. 30
  32. 8
  33. 48
  34. 11
  35. 9
  36. 10
  37. 12
  38. 12
  39. 6
  40. 13

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