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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 317 · 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: 6(x + 5) = 78. What is x?
  2. 2.Nisha is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  3. 3.Solve: y/7 + 7 = 17. What is y?
  4. 4.Meera is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  5. 5.Solve: 4t + 14 = 46. What is t?
  6. 6.Aditya thinks of a number, multiplies it by 3 and then adds 12. The result is 42. What is the number?
  7. 7.Meera thinks of a number, multiplies it by 8 and then adds 26. The result is 74. What is the number?
  8. 8.Solve: 3m + 28 = 43. What is m?
  9. 9.Pooja is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  10. 10.Solve: 9p + 6 = 123. What is p?
  11. 11.Solve: 3x + 28 = 31. What is x?
  12. 12.Farhan thinks of a number, multiplies it by 4 and then adds 20. The result is 80. What is the number?
  13. 13.Solve: 2m − 2 = 18. What is m?
  14. 14.Solve: 4x − 7 = 13. What is x?
  15. 15.Priya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  16. 16.Solve: 5y + 1 = 6. What is y?
  17. 17.Solve: 9y − 25 = 2. What is y?
  18. 18.Diya’s mother is four times as old as Diya. Their ages add up to 45 years. How old is Diya?
  19. 19.Solve: 2t + 20 = 32. What is t?
  20. 20.Solve: 3t − 27 = 6. What is t?
  21. 21.Rahul thinks of a number, multiplies it by 6 and then adds 5. The result is 83. What is the number?
  22. 22.Rohan thinks of a number, multiplies it by 4 and then adds 23. The result is 43. What is the number?
  23. 23.Solve: y/8 + 1 = 12. What is y?
  24. 24.Solve: 8(m + 9) = 80. What is m?
  25. 25.Riya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  26. 26.Solve: 2(x + 4) = 30. What is x?
  27. 27.Solve: 5t − 3 = 2. What is t?
  28. 28.Solve: 9y + 21 = 138. What is y?
  29. 29.Joseph is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  30. 30.Karan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  31. 31.Solve: t/2 + 9 = 12. What is t?
  32. 32.Solve: 7m + 8 = 50. What is m?
  33. 33.Rohan thinks of a number, multiplies it by 4 and then adds 6. The result is 26. What is the number?
  34. 34.Saanvi thinks of a number, multiplies it by 4 and then adds 19. The result is 75. What is the number?
  35. 35.Solve: m/3 + 15 = 23. What is m?
  36. 36.Kavya thinks of a number, multiplies it by 3 and then adds 21. The result is 33. What is the number?
  37. 37.Solve: 6(y + 6) = 54. What is y?
  38. 38.Solve: 6(y + 7) = 72. What is y?
  39. 39.Solve: 6t + 4 = 70. What is t?
  40. 40.Solve: x/2 + 2 = 11. What is x?

Answer key

  1. 8
  2. 14
  3. 70
  4. 10
  5. 8
  6. 10
  7. 6
  8. 5
  9. 4
  10. 13
  11. 1
  12. 15
  13. 10
  14. 5
  15. 6
  16. 1
  17. 3
  18. 9
  19. 6
  20. 11
  21. 13
  22. 5
  23. 88
  24. 1
  25. 5
  26. 11
  27. 1
  28. 13
  29. 4
  30. 5
  31. 6
  32. 6
  33. 5
  34. 14
  35. 24
  36. 4
  37. 3
  38. 5
  39. 11
  40. 18

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