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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 983 · 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.Riya thinks of a number, multiplies it by 8 and then adds 13. The result is 45. What is the number?
  2. 2.Manav thinks of a number, multiplies it by 2 and then adds 18. The result is 26. What is the number?
  3. 3.Solve: n/2 + 14 = 26. What is n?
  4. 4.Solve: m/4 + 18 = 27. What is m?
  5. 5.Solve: 5x + 10 = 80. What is x?
  6. 6.Solve: 9(t + 7) = 189. What is t?
  7. 7.Aditya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  8. 8.Solve: 2t − 16 = 8. What is t?
  9. 9.Farhan is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  10. 10.Solve: 5p + 7 = 52. What is p?
  11. 11.Dev is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  12. 12.Aarav is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  13. 13.Sneha is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  14. 14.Solve: 8t − 26 = 62. What is t?
  15. 15.Vivaan thinks of a number, multiplies it by 8 and then adds 28. The result is 84. What is the number?
  16. 16.Zoya’s mother is four times as old as Zoya. Their ages add up to 20 years. How old is Zoya?
  17. 17.Solve: n/6 + 6 = 10. What is n?
  18. 18.Aarav is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  19. 19.Solve: 9n − 42 = 12. What is n?
  20. 20.Solve: 6(t + 7) = 126. What is t?
  21. 21.Solve: m/7 + 19 = 33. What is m?
  22. 22.Aarav thinks of a number, multiplies it by 3 and then adds 3. The result is 45. What is the number?
  23. 23.Solve: 3p − 20 = 22. What is p?
  24. 24.Solve: 5p + 19 = 29. What is p?
  25. 25.Priya thinks of a number, multiplies it by 4 and then adds 7. The result is 55. What is the number?
  26. 26.Solve: 9(y + 3) = 81. What is y?
  27. 27.Isha thinks of a number, multiplies it by 3 and then adds 29. The result is 53. What is the number?
  28. 28.Tara is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  29. 29.Solve: 6(y + 1) = 78. What is y?
  30. 30.Kavya is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  31. 31.Solve: t/7 + 1 = 15. What is t?
  32. 32.Diya thinks of a number, multiplies it by 4 and then adds 30. The result is 62. What is the number?
  33. 33.Solve: 6m + 25 = 55. What is m?
  34. 34.Kavya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  35. 35.Nisha thinks of a number, multiplies it by 6 and then adds 13. The result is 55. What is the number?
  36. 36.Solve: 5m + 28 = 98. What is m?
  37. 37.Solve: 7m + 21 = 98. What is m?
  38. 38.Vivaan is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  39. 39.Solve: 2(y + 7) = 42. What is y?
  40. 40.Karan thinks of a number, multiplies it by 6 and then adds 16. The result is 22. What is the number?

Answer key

  1. 4
  2. 4
  3. 24
  4. 36
  5. 14
  6. 14
  7. 15
  8. 12
  9. 15
  10. 9
  11. 11
  12. 6
  13. 5
  14. 11
  15. 7
  16. 4
  17. 24
  18. 8
  19. 6
  20. 14
  21. 98
  22. 14
  23. 14
  24. 2
  25. 12
  26. 6
  27. 8
  28. 7
  29. 12
  30. 14
  31. 98
  32. 8
  33. 5
  34. 13
  35. 7
  36. 14
  37. 11
  38. 15
  39. 14
  40. 1

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