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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 961 · 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/8 + 4 = 14. What is n?
  2. 2.Dev thinks of a number, multiplies it by 6 and then adds 13. The result is 55. What is the number?
  3. 3.Solve: 5p − 30 = 40. What is p?
  4. 4.Solve: 4n − 3 = 1. What is n?
  5. 5.Solve: 5m + 7 = 27. What is m?
  6. 6.Solve: 9x + 6 = 132. What is x?
  7. 7.Solve: 9y − 26 = 46. What is y?
  8. 8.Solve: 7m + 26 = 47. What is m?
  9. 9.Aarav thinks of a number, multiplies it by 2 and then adds 4. The result is 8. What is the number?
  10. 10.Solve: 6x + 22 = 70. What is x?
  11. 11.Sneha is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  12. 12.Farhan thinks of a number, multiplies it by 7 and then adds 5. The result is 19. What is the number?
  13. 13.Solve: m/5 + 6 = 14. What is m?
  14. 14.Saanvi thinks of a number, multiplies it by 3 and then adds 2. The result is 5. What is the number?
  15. 15.Solve: 5p − 2 = 3. What is p?
  16. 16.Solve: p/3 + 16 = 24. What is p?
  17. 17.Solve: 6t + 30 = 72. What is t?
  18. 18.Ananya thinks of a number, multiplies it by 8 and then adds 8. The result is 96. What is the number?
  19. 19.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 21 years. How old is Ishaan?
  20. 20.Solve: y/4 + 20 = 21. What is y?
  21. 21.Solve: 7(n + 1) = 28. What is n?
  22. 22.Solve: 3x − 4 = 8. What is x?
  23. 23.Arjun thinks of a number, multiplies it by 9 and then adds 16. The result is 124. What is the number?
  24. 24.Solve: 2(n + 3) = 22. What is n?
  25. 25.Aarav is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  26. 26.Solve: 3t + 2 = 14. What is t?
  27. 27.Solve: 3(m + 2) = 15. What is m?
  28. 28.Solve: 7(t + 5) = 112. What is t?
  29. 29.Solve: x/8 + 1 = 13. What is x?
  30. 30.Diya thinks of a number, multiplies it by 4 and then adds 25. The result is 45. What is the number?
  31. 31.Solve: p/8 + 3 = 15. What is p?
  32. 32.Ananya thinks of a number, multiplies it by 4 and then adds 19. The result is 27. What is the number?
  33. 33.Solve: 9(x + 8) = 99. What is x?
  34. 34.Solve: 7x − 56 = 14. What is x?
  35. 35.Lakshmi thinks of a number, multiplies it by 9 and then adds 20. The result is 128. What is the number?
  36. 36.Solve: 6m − 25 = 29. What is m?
  37. 37.Solve: 9x + 11 = 128. What is x?
  38. 38.Solve: x/3 + 18 = 29. What is x?
  39. 39.Solve: x/8 + 13 = 23. What is x?
  40. 40.Manav thinks of a number, multiplies it by 6 and then adds 18. The result is 84. What is the number?

Answer key

  1. 80
  2. 7
  3. 14
  4. 1
  5. 4
  6. 14
  7. 8
  8. 3
  9. 2
  10. 8
  11. 7
  12. 2
  13. 40
  14. 1
  15. 1
  16. 24
  17. 7
  18. 11
  19. 7
  20. 4
  21. 3
  22. 4
  23. 12
  24. 8
  25. 4
  26. 4
  27. 3
  28. 11
  29. 96
  30. 5
  31. 96
  32. 2
  33. 3
  34. 10
  35. 12
  36. 9
  37. 13
  38. 33
  39. 80
  40. 11

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