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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 166 · 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: m/8 + 19 = 31. What is m?
  2. 2.Solve: 8t + 9 = 49. What is t?
  3. 3.Solve: 5n − 1 = 4. What is n?
  4. 4.Diya thinks of a number, multiplies it by 4 and then adds 9. The result is 21. What is the number?
  5. 5.Ananya thinks of a number, multiplies it by 9 and then adds 9. The result is 90. What is the number?
  6. 6.Solve: 6y − 5 = 13. What is y?
  7. 7.Rahul’s mother is three times as old as Rahul. Their ages add up to 28 years. How old is Rahul?
  8. 8.Solve: 3(n + 3) = 54. What is n?
  9. 9.Solve: 8x − 30 = 2. What is x?
  10. 10.Solve: 2x + 30 = 34. What is x?
  11. 11.Rohan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  12. 12.Dev is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  13. 13.Rohan thinks of a number, multiplies it by 8 and then adds 5. The result is 101. What is the number?
  14. 14.Solve: 2t + 10 = 12. What is t?
  15. 15.Solve: 5(t + 8) = 80. What is t?
  16. 16.Solve: 6y + 14 = 20. What is y?
  17. 17.Solve: 5(x + 1) = 65. What is x?
  18. 18.Solve: t/6 + 13 = 16. What is t?
  19. 19.Solve: 9x + 27 = 162. What is x?
  20. 20.Solve: 3y + 1 = 40. What is y?
  21. 21.Solve: 4p + 30 = 50. What is p?
  22. 22.Solve: 4y − 10 = 6. What is y?
  23. 23.Saanvi is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  24. 24.Solve: 4t + 29 = 69. What is t?
  25. 25.Solve: 5x + 23 = 43. What is x?
  26. 26.Nisha thinks of a number, multiplies it by 4 and then adds 26. The result is 66. What is the number?
  27. 27.Joseph thinks of a number, multiplies it by 6 and then adds 15. The result is 39. What is the number?
  28. 28.Solve: 7(m + 1) = 42. What is m?
  29. 29.Solve: n/5 + 4 = 8. What is n?
  30. 30.Solve: 6p + 25 = 49. What is p?
  31. 31.Solve: 6(n + 2) = 18. What is n?
  32. 32.Solve: 8t + 17 = 33. What is t?
  33. 33.Solve: 2(y + 9) = 44. What is y?
  34. 34.Solve: 5(y + 8) = 90. What is y?
  35. 35.Solve: x/3 + 2 = 8. What is x?
  36. 36.Solve: 2(y + 1) = 14. What is y?
  37. 37.Solve: 8(p + 7) = 72. What is p?
  38. 38.Ananya is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  39. 39.Solve: 6x − 2 = 28. What is x?
  40. 40.Solve: 8(y + 7) = 168. What is y?

Answer key

  1. 96
  2. 5
  3. 1
  4. 3
  5. 9
  6. 3
  7. 7
  8. 15
  9. 4
  10. 2
  11. 7
  12. 5
  13. 12
  14. 1
  15. 8
  16. 1
  17. 12
  18. 18
  19. 15
  20. 13
  21. 5
  22. 4
  23. 15
  24. 10
  25. 4
  26. 10
  27. 4
  28. 5
  29. 20
  30. 4
  31. 1
  32. 2
  33. 13
  34. 10
  35. 18
  36. 6
  37. 2
  38. 10
  39. 5
  40. 14

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