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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 815 · 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.Rohan thinks of a number, multiplies it by 9 and then adds 30. The result is 39. What is the number?
  2. 2.Solve: 3p + 10 = 25. What is p?
  3. 3.Farhan thinks of a number, multiplies it by 8 and then adds 15. The result is 63. What is the number?
  4. 4.Sneha’s mother is three times as old as Sneha. Their ages add up to 16 years. How old is Sneha?
  5. 5.Solve: 3m + 22 = 58. What is m?
  6. 6.Solve: x/8 + 8 = 12. What is x?
  7. 7.Solve: 5x + 5 = 10. What is x?
  8. 8.Solve: p/4 + 17 = 30. What is p?
  9. 9.Solve: 2m + 25 = 35. What is m?
  10. 10.Solve: 6(y + 7) = 108. What is y?
  11. 11.Arjun’s mother is four times as old as Arjun. Their ages add up to 35 years. How old is Arjun?
  12. 12.Farhan thinks of a number, multiplies it by 4 and then adds 30. The result is 70. What is the number?
  13. 13.Saanvi is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  14. 14.Rohan thinks of a number, multiplies it by 9 and then adds 28. The result is 118. What is the number?
  15. 15.Solve: 3n + 9 = 48. What is n?
  16. 16.Solve: 2y − 21 = 3. What is y?
  17. 17.Solve: 8x + 5 = 125. What is x?
  18. 18.Rohan thinks of a number, multiplies it by 2 and then adds 15. The result is 23. What is the number?
  19. 19.Solve: y/6 + 9 = 13. What is y?
  20. 20.Solve: 7(p + 8) = 77. What is p?
  21. 21.Solve: 8n + 3 = 27. What is n?
  22. 22.Solve: 3y − 7 = 14. What is y?
  23. 23.Solve: 9(x + 6) = 90. What is x?
  24. 24.Solve: 6x + 6 = 96. What is x?
  25. 25.Joseph thinks of a number, multiplies it by 2 and then adds 20. The result is 40. What is the number?
  26. 26.Riya thinks of a number, multiplies it by 8 and then adds 5. The result is 21. What is the number?
  27. 27.Solve: 8m − 5 = 3. What is m?
  28. 28.Riya thinks of a number, multiplies it by 7 and then adds 12. The result is 26. What is the number?
  29. 29.Solve: t/4 + 14 = 19. What is t?
  30. 30.Solve: 4y − 25 = 3. What is y?
  31. 31.Solve: 7x + 28 = 35. What is x?
  32. 32.Kabir is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  33. 33.Rahul is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  34. 34.Saanvi thinks of a number, multiplies it by 8 and then adds 9. The result is 129. What is the number?
  35. 35.Solve: 9y + 8 = 89. What is y?
  36. 36.Solve: 6t + 29 = 35. What is t?
  37. 37.Solve: 9x − 18 = 36. What is x?
  38. 38.Solve: 3(x + 4) = 27. What is x?
  39. 39.Solve: 5n + 5 = 50. What is n?
  40. 40.Solve: 4x + 15 = 39. What is x?

Answer key

  1. 1
  2. 5
  3. 6
  4. 4
  5. 12
  6. 32
  7. 1
  8. 52
  9. 5
  10. 11
  11. 7
  12. 10
  13. 11
  14. 10
  15. 13
  16. 12
  17. 15
  18. 4
  19. 24
  20. 3
  21. 3
  22. 7
  23. 4
  24. 15
  25. 10
  26. 2
  27. 1
  28. 2
  29. 20
  30. 7
  31. 1
  32. 14
  33. 11
  34. 15
  35. 9
  36. 1
  37. 6
  38. 5
  39. 9
  40. 6

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