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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 943 · 40 sums
TalentJR

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: 4x + 6 = 66. What is x?
  2. 2.Arjun thinks of a number, multiplies it by 5 and then adds 26. The result is 86. What is the number?
  3. 3.Solve: 4p + 26 = 70. What is p?
  4. 4.Solve: 2y + 14 = 40. What is y?
  5. 5.Solve: 8(m + 4) = 112. What is m?
  6. 6.Solve: 6y + 5 = 95. What is y?
  7. 7.Solve: 8(x + 4) = 136. What is x?
  8. 8.Solve: 5y + 2 = 22. What is y?
  9. 9.Solve: 6n − 30 = 6. What is n?
  10. 10.Solve: x/5 + 2 = 10. What is x?
  11. 11.Meera thinks of a number, multiplies it by 3 and then adds 9. The result is 27. What is the number?
  12. 12.Nisha thinks of a number, multiplies it by 4 and then adds 25. The result is 37. What is the number?
  13. 13.Solve: y/6 + 2 = 4. What is y?
  14. 14.Solve: 5y + 13 = 33. What is y?
  15. 15.Solve: t/7 + 17 = 18. What is t?
  16. 16.Solve: x/8 + 12 = 18. What is x?
  17. 17.Solve: 8x + 9 = 65. What is x?
  18. 18.Solve: 3(t + 5) = 45. What is t?
  19. 19.Farhan thinks of a number, multiplies it by 9 and then adds 11. The result is 20. What is the number?
  20. 20.Solve: 8x − 19 = 45. What is x?
  21. 21.Solve: m/7 + 5 = 7. What is m?
  22. 22.Meera thinks of a number, multiplies it by 8 and then adds 5. The result is 85. What is the number?
  23. 23.Joseph thinks of a number, multiplies it by 7 and then adds 19. The result is 26. What is the number?
  24. 24.Solve: 9x + 14 = 86. What is x?
  25. 25.Solve: 8x − 22 = 58. What is x?
  26. 26.Solve: 3(n + 2) = 18. What is n?
  27. 27.Solve: 2x − 1 = 3. What is x?
  28. 28.Saanvi is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  29. 29.Solve: 4n + 12 = 52. What is n?
  30. 30.Solve: 6x + 16 = 94. What is x?
  31. 31.Solve: m/2 + 11 = 14. What is m?
  32. 32.Solve: 6(p + 7) = 84. What is p?
  33. 33.Solve: 6p − 5 = 7. What is p?
  34. 34.Solve: 4p + 2 = 42. What is p?
  35. 35.Solve: 3m + 14 = 53. What is m?
  36. 36.Solve: 4(t + 2) = 44. What is t?
  37. 37.Solve: y/6 + 6 = 19. What is y?
  38. 38.Arjun thinks of a number, multiplies it by 5 and then adds 4. The result is 24. What is the number?
  39. 39.Solve: 4(x + 4) = 32. What is x?
  40. 40.Solve: 6(y + 2) = 48. What is y?

Answer key

  1. 15
  2. 12
  3. 11
  4. 13
  5. 10
  6. 15
  7. 13
  8. 4
  9. 6
  10. 40
  11. 6
  12. 3
  13. 12
  14. 4
  15. 7
  16. 48
  17. 7
  18. 10
  19. 1
  20. 8
  21. 14
  22. 10
  23. 1
  24. 8
  25. 10
  26. 4
  27. 2
  28. 10
  29. 10
  30. 13
  31. 6
  32. 7
  33. 2
  34. 10
  35. 13
  36. 9
  37. 78
  38. 4
  39. 4
  40. 6

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