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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 502 · 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.Aarav thinks of a number, multiplies it by 3 and then adds 20. The result is 50. What is the number?
  2. 2.Priya thinks of a number, multiplies it by 2 and then adds 8. The result is 18. What is the number?
  3. 3.Solve: x/6 + 14 = 15. What is x?
  4. 4.Solve: 9y + 26 = 89. What is y?
  5. 5.Manav thinks of a number, multiplies it by 4 and then adds 15. The result is 47. What is the number?
  6. 6.Meera is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  7. 7.Solve: 8n + 5 = 117. What is n?
  8. 8.Solve: n/8 + 3 = 4. What is n?
  9. 9.Solve: 2y − 11 = 19. What is y?
  10. 10.Solve: 2n + 27 = 47. What is n?
  11. 11.Dev’s mother is four times as old as Dev. Their ages add up to 70 years. How old is Dev?
  12. 12.Solve: 5y − 41 = 14. What is y?
  13. 13.Solve: m/8 + 3 = 4. What is m?
  14. 14.Arjun thinks of a number, multiplies it by 3 and then adds 1. The result is 4. What is the number?
  15. 15.Sneha thinks of a number, multiplies it by 5 and then adds 24. The result is 64. What is the number?
  16. 16.Solve: 4x + 6 = 10. What is x?
  17. 17.Aarav thinks of a number, multiplies it by 7 and then adds 30. The result is 86. What is the number?
  18. 18.Solve: 3x − 3 = 15. What is x?
  19. 19.Solve: 2p + 19 = 29. What is p?
  20. 20.Solve: 9p + 12 = 147. What is p?
  21. 21.Solve: 3y + 16 = 25. What is y?
  22. 22.Farhan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  23. 23.Solve: y/8 + 20 = 32. What is y?
  24. 24.Riya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  25. 25.Solve: 2y − 22 = 4. What is y?
  26. 26.Solve: n/8 + 20 = 30. What is n?
  27. 27.Joseph’s mother is twice as old as Joseph. Their ages add up to 42 years. How old is Joseph?
  28. 28.Solve: y/2 + 10 = 22. What is y?
  29. 29.Manav thinks of a number, multiplies it by 6 and then adds 4. The result is 28. What is the number?
  30. 30.Kavya thinks of a number, multiplies it by 5 and then adds 30. The result is 105. What is the number?
  31. 31.Sneha thinks of a number, multiplies it by 7 and then adds 24. The result is 122. What is the number?
  32. 32.Kabir’s mother is four times as old as Kabir. Their ages add up to 25 years. How old is Kabir?
  33. 33.Meera is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  34. 34.Solve: 8n − 75 = 37. What is n?
  35. 35.Solve: 3x + 17 = 32. What is x?
  36. 36.Solve: y/9 + 1 = 2. What is y?
  37. 37.Tara is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  38. 38.Manav’s mother is twice as old as Manav. Their ages add up to 33 years. How old is Manav?
  39. 39.Solve: t/6 + 4 = 6. What is t?
  40. 40.Rahul thinks of a number, multiplies it by 5 and then adds 29. The result is 49. What is the number?

Answer key

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

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