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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 151 · 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.Farhan thinks of a number, multiplies it by 5 and then adds 20. The result is 25. What is the number?
  2. 2.Solve: 2t − 1 = 1. What is t?
  3. 3.Solve: 4y − 18 = 10. What is y?
  4. 4.Pooja is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  5. 5.Solve: 5p − 24 = 1. What is p?
  6. 6.Isha is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  7. 7.Solve: 3y + 23 = 26. What is y?
  8. 8.Solve: 9(x + 9) = 117. What is x?
  9. 9.Solve: 7(t + 3) = 119. What is t?
  10. 10.Solve: 7n − 48 = 36. What is n?
  11. 11.Solve: 8p − 46 = 42. What is p?
  12. 12.Solve: 7x − 6 = 1. What is x?
  13. 13.Sneha thinks of a number, multiplies it by 8 and then adds 7. The result is 79. What is the number?
  14. 14.Pooja thinks of a number, multiplies it by 6 and then adds 15. The result is 51. What is the number?
  15. 15.Solve: 8y − 26 = 70. What is y?
  16. 16.Solve: 5p + 13 = 28. What is p?
  17. 17.Solve: y/2 + 2 = 8. What is y?
  18. 18.Nisha is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  19. 19.Solve: 3n − 4 = 8. What is n?
  20. 20.Solve: 4(p + 2) = 52. What is p?
  21. 21.Solve: p/3 + 6 = 15. What is p?
  22. 22.Solve: 5y − 17 = 3. What is y?
  23. 23.Solve: 6n − 18 = 6. What is n?
  24. 24.Solve: t/2 + 11 = 22. What is t?
  25. 25.Priya thinks of a number, multiplies it by 6 and then adds 10. The result is 100. What is the number?
  26. 26.Solve: p/2 + 19 = 24. What is p?
  27. 27.Solve: 3x + 20 = 62. What is x?
  28. 28.Farhan thinks of a number, multiplies it by 9 and then adds 7. The result is 79. What is the number?
  29. 29.Meera thinks of a number, multiplies it by 5 and then adds 7. The result is 32. What is the number?
  30. 30.Solve: 9m + 27 = 99. What is m?
  31. 31.Kabir thinks of a number, multiplies it by 4 and then adds 3. The result is 35. What is the number?
  32. 32.Sneha is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  33. 33.Solve: 3x − 1 = 14. What is x?
  34. 34.Riya thinks of a number, multiplies it by 8 and then adds 27. The result is 123. What is the number?
  35. 35.Solve: 2(n + 1) = 8. What is n?
  36. 36.Solve: 5x − 6 = 19. What is x?
  37. 37.Solve: y/5 + 10 = 13. What is y?
  38. 38.Ishaan thinks of a number, multiplies it by 5 and then adds 2. The result is 22. What is the number?
  39. 39.Aarav thinks of a number, multiplies it by 8 and then adds 6. The result is 78. What is the number?
  40. 40.Solve: 9(t + 3) = 36. What is t?

Answer key

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

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