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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 771 · 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: n/7 + 15 = 27. What is n?
  2. 2.Solve: y/4 + 10 = 12. What is y?
  3. 3.Vivaan thinks of a number, multiplies it by 2 and then adds 28. The result is 32. What is the number?
  4. 4.Nisha thinks of a number, multiplies it by 2 and then adds 14. The result is 20. What is the number?
  5. 5.Solve: 3(y + 5) = 51. What is y?
  6. 6.Solve: 2(p + 2) = 18. What is p?
  7. 7.Solve: 3y − 8 = 1. What is y?
  8. 8.Solve: 9(x + 5) = 180. What is x?
  9. 9.Solve: t/7 + 6 = 17. What is t?
  10. 10.Arjun thinks of a number, multiplies it by 3 and then adds 11. The result is 41. What is the number?
  11. 11.Solve: n/7 + 14 = 28. What is n?
  12. 12.Solve: 6y + 30 = 114. What is y?
  13. 13.Solve: 3n − 2 = 1. What is n?
  14. 14.Solve: 2(y + 5) = 28. What is y?
  15. 15.Solve: t/4 + 1 = 9. What is t?
  16. 16.Solve: m/3 + 13 = 19. What is m?
  17. 17.Solve: 2y + 28 = 32. What is y?
  18. 18.Solve: t/8 + 9 = 24. What is t?
  19. 19.Gurpreet thinks of a number, multiplies it by 7 and then adds 15. The result is 50. What is the number?
  20. 20.Solve: 2x + 5 = 9. What is x?
  21. 21.Solve: 2(n + 5) = 26. What is n?
  22. 22.Solve: 2n − 1 = 23. What is n?
  23. 23.Solve: 9(p + 3) = 99. What is p?
  24. 24.Sneha thinks of a number, multiplies it by 4 and then adds 28. The result is 72. What is the number?
  25. 25.Vivaan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  26. 26.Ananya’s mother is four times as old as Ananya. Their ages add up to 45 years. How old is Ananya?
  27. 27.Farhan thinks of a number, multiplies it by 6 and then adds 1. The result is 67. What is the number?
  28. 28.Solve: 4m − 1 = 59. What is m?
  29. 29.Solve: 6y − 14 = 4. What is y?
  30. 30.Solve: 6(t + 1) = 36. What is t?
  31. 31.Solve: 3x − 4 = 38. What is x?
  32. 32.Solve: 5m − 46 = 4. What is m?
  33. 33.Solve: 7(x + 1) = 84. What is x?
  34. 34.Nisha thinks of a number, multiplies it by 2 and then adds 14. The result is 30. What is the number?
  35. 35.Karan thinks of a number, multiplies it by 8 and then adds 19. The result is 115. What is the number?
  36. 36.Solve: 4y − 1 = 3. What is y?
  37. 37.Solve: 8t − 32 = 40. What is t?
  38. 38.Aditya thinks of a number, multiplies it by 3 and then adds 28. The result is 55. What is the number?
  39. 39.Solve: m/9 + 16 = 23. What is m?
  40. 40.Rohan’s mother is twice as old as Rohan. Their ages add up to 39 years. How old is Rohan?

Answer key

  1. 84
  2. 8
  3. 2
  4. 3
  5. 12
  6. 7
  7. 3
  8. 15
  9. 77
  10. 10
  11. 98
  12. 14
  13. 1
  14. 9
  15. 32
  16. 18
  17. 2
  18. 120
  19. 5
  20. 2
  21. 8
  22. 12
  23. 8
  24. 11
  25. 8
  26. 9
  27. 11
  28. 15
  29. 3
  30. 5
  31. 14
  32. 10
  33. 11
  34. 8
  35. 12
  36. 1
  37. 9
  38. 9
  39. 63
  40. 13

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