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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 687 · 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: 7x − 6 = 50. What is x?
  2. 2.Riya’s mother is three times as old as Riya. Their ages add up to 56 years. How old is Riya?
  3. 3.Solve: 6(p + 6) = 72. What is p?
  4. 4.Solve: 9n − 12 = 51. What is n?
  5. 5.Solve: 7m + 1 = 36. What is m?
  6. 6.Zoya thinks of a number, multiplies it by 2 and then adds 18. The result is 38. What is the number?
  7. 7.Solve: y/5 + 15 = 28. What is y?
  8. 8.Solve: 3(m + 3) = 24. What is m?
  9. 9.Solve: 3n − 10 = 11. What is n?
  10. 10.Rahul thinks of a number, multiplies it by 8 and then adds 20. The result is 84. What is the number?
  11. 11.Tara’s mother is twice as old as Tara. Their ages add up to 36 years. How old is Tara?
  12. 12.Solve: 6x + 1 = 73. What is x?
  13. 13.Solve: 8m + 4 = 12. What is m?
  14. 14.Solve: 8y − 16 = 88. What is y?
  15. 15.Solve: 5(m + 3) = 40. What is m?
  16. 16.Ananya’s mother is four times as old as Ananya. Their ages add up to 35 years. How old is Ananya?
  17. 17.Dev thinks of a number, multiplies it by 8 and then adds 21. The result is 85. What is the number?
  18. 18.Tara thinks of a number, multiplies it by 6 and then adds 14. The result is 32. What is the number?
  19. 19.Solve: 8t + 21 = 101. What is t?
  20. 20.Solve: 3(p + 2) = 42. What is p?
  21. 21.Solve: 2(p + 8) = 40. What is p?
  22. 22.Solve: 3p − 2 = 1. What is p?
  23. 23.Solve: 2n − 14 = 6. What is n?
  24. 24.Meera thinks of a number, multiplies it by 2 and then adds 26. The result is 50. What is the number?
  25. 25.Solve: 9(t + 6) = 72. What is t?
  26. 26.Solve: x/9 + 12 = 22. What is x?
  27. 27.Solve: 7(y + 3) = 49. What is y?
  28. 28.Ananya thinks of a number, multiplies it by 7 and then adds 8. The result is 78. What is the number?
  29. 29.Tara thinks of a number, multiplies it by 2 and then adds 26. The result is 36. What is the number?
  30. 30.Solve: x/4 + 18 = 21. What is x?
  31. 31.Dev thinks of a number, multiplies it by 3 and then adds 25. The result is 61. What is the number?
  32. 32.Solve: 8(p + 4) = 40. What is p?
  33. 33.Solve: 3(t + 9) = 69. What is t?
  34. 34.Solve: 8x + 5 = 13. What is x?
  35. 35.Solve: 6y + 22 = 64. What is y?
  36. 36.Solve: 7t + 4 = 67. What is t?
  37. 37.Solve: 9m + 6 = 96. What is m?
  38. 38.Solve: y/3 + 9 = 22. What is y?
  39. 39.Solve: 5y − 12 = 63. What is y?
  40. 40.Solve: 4m + 11 = 67. What is m?

Answer key

  1. 8
  2. 14
  3. 6
  4. 7
  5. 5
  6. 10
  7. 65
  8. 5
  9. 7
  10. 8
  11. 12
  12. 12
  13. 1
  14. 13
  15. 5
  16. 7
  17. 8
  18. 3
  19. 10
  20. 12
  21. 12
  22. 1
  23. 10
  24. 12
  25. 2
  26. 90
  27. 4
  28. 10
  29. 5
  30. 12
  31. 12
  32. 1
  33. 14
  34. 1
  35. 7
  36. 9
  37. 10
  38. 39
  39. 15
  40. 14

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