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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 226 · 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: 6p + 5 = 23. What is p?
  2. 2.Solve: 5t + 4 = 44. What is t?
  3. 3.Solve: 9m − 4 = 5. What is m?
  4. 4.Solve: 2n + 16 = 28. What is n?
  5. 5.Solve: y/2 + 7 = 10. What is y?
  6. 6.Manav thinks of a number, multiplies it by 4 and then adds 22. The result is 54. What is the number?
  7. 7.Isha is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  8. 8.Solve: 8(x + 5) = 128. What is x?
  9. 9.Solve: 7t − 5 = 2. What is t?
  10. 10.Solve: 2(y + 3) = 30. What is y?
  11. 11.Isha’s mother is twice as old as Isha. Their ages add up to 12 years. How old is Isha?
  12. 12.Rohan thinks of a number, multiplies it by 6 and then adds 26. The result is 74. What is the number?
  13. 13.Solve: 8(y + 7) = 80. What is y?
  14. 14.Solve: 3m + 24 = 39. What is m?
  15. 15.Solve: 7t + 3 = 10. What is t?
  16. 16.Solve: t/9 + 16 = 18. What is t?
  17. 17.Solve: x/3 + 14 = 23. What is x?
  18. 18.Arjun thinks of a number, multiplies it by 2 and then adds 5. The result is 23. What is the number?
  19. 19.Kavya’s mother is four times as old as Kavya. Their ages add up to 40 years. How old is Kavya?
  20. 20.Diya’s mother is twice as old as Diya. Their ages add up to 45 years. How old is Diya?
  21. 21.Solve: 8(x + 4) = 112. What is x?
  22. 22.Solve: 7t − 54 = 30. What is t?
  23. 23.Nisha is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  24. 24.Solve: 3m − 7 = 20. What is m?
  25. 25.Solve: 5(p + 1) = 65. What is p?
  26. 26.Solve: 8y + 13 = 45. What is y?
  27. 27.Riya is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  28. 28.Joseph thinks of a number, multiplies it by 2 and then adds 6. The result is 28. What is the number?
  29. 29.Kabir thinks of a number, multiplies it by 3 and then adds 8. The result is 53. What is the number?
  30. 30.Solve: m/2 + 3 = 6. What is m?
  31. 31.Dev thinks of a number, multiplies it by 7 and then adds 30. The result is 79. What is the number?
  32. 32.Solve: 8m − 2 = 6. What is m?
  33. 33.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 52 years. How old is Vivaan?
  34. 34.Tara thinks of a number, multiplies it by 9 and then adds 19. The result is 46. What is the number?
  35. 35.Solve: x/6 + 3 = 12. What is x?
  36. 36.Meera thinks of a number, multiplies it by 2 and then adds 4. The result is 34. What is the number?
  37. 37.Solve: 4n − 2 = 10. What is n?
  38. 38.Solve: 6x + 26 = 44. What is x?
  39. 39.Solve: 5(y + 3) = 35. What is y?
  40. 40.Kavya is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?

Answer key

  1. 3
  2. 8
  3. 1
  4. 6
  5. 6
  6. 8
  7. 11
  8. 11
  9. 1
  10. 12
  11. 4
  12. 8
  13. 3
  14. 5
  15. 1
  16. 18
  17. 27
  18. 9
  19. 8
  20. 15
  21. 10
  22. 12
  23. 5
  24. 9
  25. 12
  26. 4
  27. 7
  28. 11
  29. 15
  30. 6
  31. 7
  32. 1
  33. 13
  34. 3
  35. 54
  36. 15
  37. 3
  38. 3
  39. 4
  40. 8

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