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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 820 · 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: 3p + 19 = 22. What is p?
  2. 2.Solve: 4n + 20 = 72. What is n?
  3. 3.Tara thinks of a number, multiplies it by 2 and then adds 13. The result is 35. What is the number?
  4. 4.Solve: 5(x + 8) = 50. What is x?
  5. 5.Solve: 4m − 6 = 14. What is m?
  6. 6.Solve: 7p − 32 = 24. What is p?
  7. 7.Solve: 3m − 1 = 5. What is m?
  8. 8.Solve: 3y + 12 = 15. What is y?
  9. 9.Solve: 4x − 3 = 49. What is x?
  10. 10.Rahul’s mother is twice as old as Rahul. Their ages add up to 27 years. How old is Rahul?
  11. 11.Nisha thinks of a number, multiplies it by 6 and then adds 6. The result is 42. What is the number?
  12. 12.Riya is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  13. 13.Solve: 2(m + 1) = 28. What is m?
  14. 14.Solve: 3n − 10 = 2. What is n?
  15. 15.Arjun thinks of a number, multiplies it by 2 and then adds 29. The result is 37. What is the number?
  16. 16.Solve: 4(n + 1) = 16. What is n?
  17. 17.Vivaan thinks of a number, multiplies it by 9 and then adds 5. The result is 59. What is the number?
  18. 18.Solve: 3n + 3 = 12. What is n?
  19. 19.Solve: 4(m + 8) = 64. What is m?
  20. 20.Priya thinks of a number, multiplies it by 2 and then adds 25. The result is 55. What is the number?
  21. 21.Kabir thinks of a number, multiplies it by 4 and then adds 29. The result is 33. What is the number?
  22. 22.Solve: 9p + 6 = 96. What is p?
  23. 23.Vivaan thinks of a number, multiplies it by 6 and then adds 20. The result is 32. What is the number?
  24. 24.Solve: 3x + 10 = 22. What is x?
  25. 25.Solve: 2n − 2 = 12. What is n?
  26. 26.Saanvi is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  27. 27.Solve: p/8 + 9 = 19. What is p?
  28. 28.Diya thinks of a number, multiplies it by 9 and then adds 4. The result is 40. What is the number?
  29. 29.Solve: 4x + 15 = 23. What is x?
  30. 30.Solve: 9y + 7 = 115. What is y?
  31. 31.Meera is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  32. 32.Solve: 3t + 26 = 35. What is t?
  33. 33.Sneha’s mother is twice as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  34. 34.Solve: 9x − 25 = 11. What is x?
  35. 35.Solve: 3(t + 4) = 30. What is t?
  36. 36.Solve: 2n − 1 = 3. What is n?
  37. 37.Solve: t/3 + 17 = 19. What is t?
  38. 38.Solve: p/5 + 20 = 22. What is p?
  39. 39.Solve: 6n − 6 = 18. What is n?
  40. 40.Solve: 6p − 9 = 27. What is p?

Answer key

  1. 1
  2. 13
  3. 11
  4. 2
  5. 5
  6. 8
  7. 2
  8. 1
  9. 13
  10. 9
  11. 6
  12. 13
  13. 13
  14. 4
  15. 4
  16. 3
  17. 6
  18. 3
  19. 8
  20. 15
  21. 1
  22. 10
  23. 2
  24. 4
  25. 7
  26. 7
  27. 80
  28. 4
  29. 2
  30. 12
  31. 9
  32. 3
  33. 10
  34. 4
  35. 6
  36. 2
  37. 6
  38. 10
  39. 4
  40. 6

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