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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 149 · 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.Lakshmi thinks of a number, multiplies it by 3 and then adds 14. The result is 59. What is the number?
  2. 2.Solve: 4x − 11 = 45. What is x?
  3. 3.Solve: 2(y + 8) = 34. What is y?
  4. 4.Solve: 9(m + 7) = 126. What is m?
  5. 5.Riya thinks of a number, multiplies it by 3 and then adds 6. The result is 15. What is the number?
  6. 6.Solve: 5m + 28 = 63. What is m?
  7. 7.Solve: 9x − 7 = 2. What is x?
  8. 8.Solve: 2y − 7 = 23. What is y?
  9. 9.Solve: 3m − 21 = 15. What is m?
  10. 10.Solve: y/9 + 11 = 20. What is y?
  11. 11.Solve: n/7 + 14 = 19. What is n?
  12. 12.Solve: 5x − 38 = 22. What is x?
  13. 13.Solve: p/9 + 7 = 15. What is p?
  14. 14.Solve: n/4 + 17 = 25. What is n?
  15. 15.Karan is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  16. 16.Solve: 8m + 7 = 103. What is m?
  17. 17.Solve: y/8 + 7 = 15. What is y?
  18. 18.Ananya thinks of a number, multiplies it by 2 and then adds 25. The result is 53. What is the number?
  19. 19.Solve: 3y + 12 = 21. What is y?
  20. 20.Solve: 8n − 93 = 11. What is n?
  21. 21.Solve: 3(t + 5) = 21. What is t?
  22. 22.Solve: 2y + 23 = 31. What is y?
  23. 23.Solve: 6y − 55 = 29. What is y?
  24. 24.Priya thinks of a number, multiplies it by 3 and then adds 27. The result is 69. What is the number?
  25. 25.Kabir is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  26. 26.Solve: y/2 + 16 = 28. What is y?
  27. 27.Solve: 9x − 54 = 18. What is x?
  28. 28.Solve: n/4 + 9 = 19. What is n?
  29. 29.Rohan is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  30. 30.Solve: 5n − 67 = 8. What is n?
  31. 31.Solve: 6y + 11 = 89. What is y?
  32. 32.Solve: 4(x + 3) = 44. What is x?
  33. 33.Joseph’s mother is twice as old as Joseph. Their ages add up to 12 years. How old is Joseph?
  34. 34.Vivaan is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  35. 35.Solve: p/9 + 1 = 11. What is p?
  36. 36.Solve: 2y + 14 = 16. What is y?
  37. 37.Gurpreet thinks of a number, multiplies it by 7 and then adds 13. The result is 48. What is the number?
  38. 38.Solve: 4x − 3 = 1. What is x?
  39. 39.Solve: 5p − 3 = 22. What is p?
  40. 40.Solve: 4x + 8 = 44. What is x?

Answer key

  1. 15
  2. 14
  3. 9
  4. 7
  5. 3
  6. 7
  7. 1
  8. 15
  9. 12
  10. 81
  11. 35
  12. 12
  13. 72
  14. 32
  15. 10
  16. 12
  17. 64
  18. 14
  19. 3
  20. 13
  21. 2
  22. 4
  23. 14
  24. 14
  25. 6
  26. 24
  27. 8
  28. 40
  29. 7
  30. 15
  31. 13
  32. 8
  33. 4
  34. 6
  35. 90
  36. 1
  37. 5
  38. 1
  39. 5
  40. 9

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