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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 678 · 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: 8x − 12 = 28. What is x?
  2. 2.Solve: 5p − 9 = 26. What is p?
  3. 3.Solve: 6(x + 6) = 114. What is x?
  4. 4.Isha thinks of a number, multiplies it by 4 and then adds 10. The result is 50. What is the number?
  5. 5.Solve: y/5 + 13 = 26. What is y?
  6. 6.Solve: 2t + 7 = 31. What is t?
  7. 7.Solve: 6(x + 8) = 96. What is x?
  8. 8.Solve: 6t + 19 = 91. What is t?
  9. 9.Solve: 5(n + 6) = 80. What is n?
  10. 10.Solve: t/5 + 10 = 22. What is t?
  11. 11.Solve: x/3 + 2 = 16. What is x?
  12. 12.Sneha thinks of a number, multiplies it by 2 and then adds 22. The result is 50. What is the number?
  13. 13.Solve: t/3 + 5 = 13. What is t?
  14. 14.Solve: 8n − 46 = 50. What is n?
  15. 15.Kavya is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  16. 16.Tara thinks of a number, multiplies it by 8 and then adds 3. The result is 67. What is the number?
  17. 17.Solve: 6y − 36 = 12. What is y?
  18. 18.Saanvi thinks of a number, multiplies it by 5 and then adds 17. The result is 32. What is the number?
  19. 19.Solve: y/9 + 1 = 10. What is y?
  20. 20.Solve: 2x + 19 = 45. What is x?
  21. 21.Ishaan thinks of a number, multiplies it by 2 and then adds 30. The result is 38. What is the number?
  22. 22.Aditya thinks of a number, multiplies it by 5 and then adds 15. The result is 60. What is the number?
  23. 23.Solve: 5x − 37 = 3. What is x?
  24. 24.Solve: 2(t + 1) = 12. What is t?
  25. 25.Gurpreet thinks of a number, multiplies it by 2 and then adds 29. The result is 43. What is the number?
  26. 26.Solve: 9(x + 2) = 144. What is x?
  27. 27.Rohan thinks of a number, multiplies it by 3 and then adds 3. The result is 15. What is the number?
  28. 28.Solve: 6n + 17 = 29. What is n?
  29. 29.Ananya thinks of a number, multiplies it by 8 and then adds 5. The result is 101. What is the number?
  30. 30.Solve: 7x + 27 = 118. What is x?
  31. 31.Arjun thinks of a number, multiplies it by 2 and then adds 11. The result is 31. What is the number?
  32. 32.Solve: 9t − 42 = 12. What is t?
  33. 33.Solve: p/4 + 4 = 7. What is p?
  34. 34.Solve: 9y + 13 = 31. What is y?
  35. 35.Solve: y/8 + 12 = 20. What is y?
  36. 36.Solve: 5(p + 1) = 75. What is p?
  37. 37.Solve: 8m + 7 = 95. What is m?
  38. 38.Solve: 3x + 2 = 17. What is x?
  39. 39.Solve: 5x + 25 = 35. What is x?
  40. 40.Solve: 6m + 8 = 32. What is m?

Answer key

  1. 5
  2. 7
  3. 13
  4. 10
  5. 65
  6. 12
  7. 8
  8. 12
  9. 10
  10. 60
  11. 42
  12. 14
  13. 24
  14. 12
  15. 13
  16. 8
  17. 8
  18. 3
  19. 81
  20. 13
  21. 4
  22. 9
  23. 8
  24. 5
  25. 7
  26. 14
  27. 4
  28. 2
  29. 12
  30. 13
  31. 10
  32. 6
  33. 12
  34. 2
  35. 64
  36. 14
  37. 11
  38. 5
  39. 2
  40. 4

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