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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 341 · 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: 8y − 47 = 9. What is y?
  2. 2.Arjun thinks of a number, multiplies it by 2 and then adds 4. The result is 8. What is the number?
  3. 3.Solve: 9n + 11 = 65. What is n?
  4. 4.Ananya thinks of a number, multiplies it by 6 and then adds 21. The result is 27. What is the number?
  5. 5.Solve: 5t + 18 = 93. What is t?
  6. 6.Solve: 7p + 1 = 29. What is p?
  7. 7.Solve: 2(n + 4) = 20. What is n?
  8. 8.Solve: 5(n + 7) = 85. What is n?
  9. 9.Nisha’s mother is four times as old as Nisha. Their ages add up to 55 years. How old is Nisha?
  10. 10.Solve: 4x + 2 = 30. What is x?
  11. 11.Solve: 9(p + 7) = 189. What is p?
  12. 12.Solve: m/3 + 16 = 19. What is m?
  13. 13.Vivaan is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  14. 14.Aditya’s mother is four times as old as Aditya. Their ages add up to 50 years. How old is Aditya?
  15. 15.Arjun is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Ishaan thinks of a number, multiplies it by 2 and then adds 6. The result is 28. What is the number?
  17. 17.Meera is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  18. 18.Diya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  19. 19.Solve: t/6 + 1 = 12. What is t?
  20. 20.Solve: x/3 + 7 = 8. What is x?
  21. 21.Solve: 9(m + 5) = 108. What is m?
  22. 22.Rohan’s mother is four times as old as Rohan. Their ages add up to 55 years. How old is Rohan?
  23. 23.Solve: 2x + 1 = 11. What is x?
  24. 24.Solve: 7n + 17 = 73. What is n?
  25. 25.Solve: 2(x + 5) = 26. What is x?
  26. 26.Solve: 8t + 6 = 86. What is t?
  27. 27.Joseph’s mother is twice as old as Joseph. Their ages add up to 27 years. How old is Joseph?
  28. 28.Arjun is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  29. 29.Solve: 7(p + 9) = 105. What is p?
  30. 30.Solve: 6x − 34 = 26. What is x?
  31. 31.Zoya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  32. 32.Joseph thinks of a number, multiplies it by 9 and then adds 5. The result is 50. What is the number?
  33. 33.Solve: 2(p + 7) = 40. What is p?
  34. 34.Solve: 8x + 29 = 53. What is x?
  35. 35.Solve: 7p − 7 = 28. What is p?
  36. 36.Solve: m/8 + 13 = 15. What is m?
  37. 37.Solve: 8x − 6 = 66. What is x?
  38. 38.Solve: x/4 + 3 = 6. What is x?
  39. 39.Vivaan is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  40. 40.Solve: 2x + 25 = 39. What is x?

Answer key

  1. 7
  2. 2
  3. 6
  4. 1
  5. 15
  6. 4
  7. 6
  8. 10
  9. 11
  10. 7
  11. 14
  12. 9
  13. 9
  14. 10
  15. 7
  16. 11
  17. 6
  18. 4
  19. 66
  20. 3
  21. 7
  22. 11
  23. 5
  24. 8
  25. 8
  26. 10
  27. 9
  28. 15
  29. 6
  30. 10
  31. 6
  32. 5
  33. 13
  34. 3
  35. 5
  36. 16
  37. 9
  38. 12
  39. 10
  40. 7

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