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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 664 · 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: 7x + 21 = 126. What is x?
  2. 2.Solve: 3n + 26 = 50. What is n?
  3. 3.Rahul thinks of a number, multiplies it by 6 and then adds 13. The result is 25. What is the number?
  4. 4.Ishaan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  5. 5.Arjun thinks of a number, multiplies it by 9 and then adds 16. The result is 61. What is the number?
  6. 6.Solve: 9x − 40 = 32. What is x?
  7. 7.Joseph thinks of a number, multiplies it by 6 and then adds 1. The result is 67. What is the number?
  8. 8.Lakshmi is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  9. 9.Vivaan thinks of a number, multiplies it by 5 and then adds 29. The result is 89. What is the number?
  10. 10.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 65 years. How old is Gurpreet?
  11. 11.Solve: y/2 + 8 = 12. What is y?
  12. 12.Saanvi thinks of a number, multiplies it by 3 and then adds 17. The result is 44. What is the number?
  13. 13.Solve: 9(m + 2) = 63. What is m?
  14. 14.Solve: 9(p + 8) = 180. What is p?
  15. 15.Solve: p/7 + 20 = 23. What is p?
  16. 16.Rohan thinks of a number, multiplies it by 5 and then adds 30. The result is 55. What is the number?
  17. 17.Dev thinks of a number, multiplies it by 4 and then adds 3. The result is 51. What is the number?
  18. 18.Solve: 8(p + 3) = 80. What is p?
  19. 19.Solve: 2m − 1 = 29. What is m?
  20. 20.Dev thinks of a number, multiplies it by 8 and then adds 5. The result is 37. What is the number?
  21. 21.Solve: 5(y + 7) = 70. What is y?
  22. 22.Solve: 3m − 15 = 30. What is m?
  23. 23.Solve: y/4 + 7 = 19. What is y?
  24. 24.Solve: 2y − 14 = 2. What is y?
  25. 25.Solve: 3(x + 9) = 60. What is x?
  26. 26.Solve: 5t + 15 = 30. What is t?
  27. 27.Solve: x/2 + 6 = 10. What is x?
  28. 28.Solve: 3x + 29 = 53. What is x?
  29. 29.Solve: 4n − 56 = 4. What is n?
  30. 30.Rahul’s mother is three times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  31. 31.Solve: 9x − 9 = 126. What is x?
  32. 32.Solve: 2(t + 2) = 8. What is t?
  33. 33.Solve: p/6 + 9 = 17. What is p?
  34. 34.Solve: 4(m + 1) = 12. What is m?
  35. 35.Solve: 7t + 21 = 63. What is t?
  36. 36.Solve: 7(p + 4) = 133. What is p?
  37. 37.Sneha’s mother is three times as old as Sneha. Their ages add up to 40 years. How old is Sneha?
  38. 38.Solve: 8y + 12 = 44. What is y?
  39. 39.Solve: 8(t + 8) = 96. What is t?
  40. 40.Solve: 8(x + 2) = 56. What is x?

Answer key

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

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