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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 589 · 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.Rohan thinks of a number, multiplies it by 2 and then adds 15. The result is 43. What is the number?
  2. 2.Solve: 4x − 39 = 5. What is x?
  3. 3.Karan thinks of a number, multiplies it by 2 and then adds 13. The result is 37. What is the number?
  4. 4.Solve: 8y + 23 = 95. What is y?
  5. 5.Solve: 3(p + 8) = 39. What is p?
  6. 6.Manav’s mother is twice as old as Manav. Their ages add up to 15 years. How old is Manav?
  7. 7.Manav thinks of a number, multiplies it by 2 and then adds 1. The result is 9. What is the number?
  8. 8.Solve: 8(t + 1) = 56. What is t?
  9. 9.Farhan thinks of a number, multiplies it by 8 and then adds 2. The result is 90. What is the number?
  10. 10.Solve: 9y + 8 = 89. What is y?
  11. 11.Solve: y/6 + 5 = 19. What is y?
  12. 12.Ishaan thinks of a number, multiplies it by 5 and then adds 12. The result is 57. What is the number?
  13. 13.Gurpreet thinks of a number, multiplies it by 3 and then adds 18. The result is 33. What is the number?
  14. 14.Solve: 5(t + 1) = 20. What is t?
  15. 15.Tara thinks of a number, multiplies it by 6 and then adds 24. The result is 66. What is the number?
  16. 16.Solve: 7(t + 3) = 84. What is t?
  17. 17.Solve: 4(t + 7) = 68. What is t?
  18. 18.Solve: 5(x + 6) = 35. What is x?
  19. 19.Solve: 6(t + 1) = 72. What is t?
  20. 20.Solve: 3x − 18 = 15. What is x?
  21. 21.Solve: m/7 + 16 = 21. What is m?
  22. 22.Solve: n/6 + 12 = 15. What is n?
  23. 23.Solve: 6x + 2 = 62. What is x?
  24. 24.Solve: x/3 + 18 = 30. What is x?
  25. 25.Solve: 4m − 15 = 5. What is m?
  26. 26.Diya thinks of a number, multiplies it by 8 and then adds 9. The result is 33. What is the number?
  27. 27.Solve: x/6 + 7 = 10. What is x?
  28. 28.Solve: 5y − 6 = 9. What is y?
  29. 29.Solve: 6n − 3 = 51. What is n?
  30. 30.Solve: 7m − 3 = 4. What is m?
  31. 31.Dev thinks of a number, multiplies it by 7 and then adds 24. The result is 38. What is the number?
  32. 32.Solve: 7y − 73 = 25. What is y?
  33. 33.Solve: 8m + 17 = 57. What is m?
  34. 34.Solve: 9y + 14 = 41. What is y?
  35. 35.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  36. 36.Solve: 5x − 33 = 12. What is x?
  37. 37.Solve: 6m + 14 = 32. What is m?
  38. 38.Solve: 3m + 22 = 40. What is m?
  39. 39.Tara is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  40. 40.Solve: 5(t + 3) = 60. What is t?

Answer key

  1. 14
  2. 11
  3. 12
  4. 9
  5. 5
  6. 5
  7. 4
  8. 6
  9. 11
  10. 9
  11. 84
  12. 9
  13. 5
  14. 3
  15. 7
  16. 9
  17. 10
  18. 1
  19. 11
  20. 11
  21. 35
  22. 18
  23. 10
  24. 36
  25. 5
  26. 3
  27. 18
  28. 3
  29. 9
  30. 1
  31. 2
  32. 14
  33. 5
  34. 3
  35. 7
  36. 9
  37. 3
  38. 6
  39. 11
  40. 9

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