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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 50 · 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: 9n − 88 = 20. What is n?
  2. 2.Solve: 4p − 3 = 1. What is p?
  3. 3.Solve: 2m − 5 = 7. What is m?
  4. 4.Solve: 8t − 55 = 1. What is t?
  5. 5.Joseph’s mother is four times as old as Joseph. Their ages add up to 25 years. How old is Joseph?
  6. 6.Gurpreet thinks of a number, multiplies it by 3 and then adds 29. The result is 38. What is the number?
  7. 7.Solve: 9(y + 1) = 18. What is y?
  8. 8.Manav’s mother is three times as old as Manav. Their ages add up to 20 years. How old is Manav?
  9. 9.Solve: t/2 + 18 = 28. What is t?
  10. 10.Solve: p/7 + 18 = 23. What is p?
  11. 11.Zoya’s mother is twice as old as Zoya. Their ages add up to 21 years. How old is Zoya?
  12. 12.Kavya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  13. 13.Solve: 4(x + 4) = 28. What is x?
  14. 14.Solve: 2y − 4 = 6. What is y?
  15. 15.Sneha thinks of a number, multiplies it by 2 and then adds 30. The result is 32. What is the number?
  16. 16.Solve: 9(t + 1) = 81. What is t?
  17. 17.Solve: 6y − 35 = 43. What is y?
  18. 18.Arjun is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  19. 19.Riya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  20. 20.Solve: 2t − 6 = 10. What is t?
  21. 21.Joseph’s mother is twice as old as Joseph. Their ages add up to 27 years. How old is Joseph?
  22. 22.Solve: y/2 + 19 = 29. What is y?
  23. 23.Rohan thinks of a number, multiplies it by 9 and then adds 1. The result is 28. What is the number?
  24. 24.Solve: 2x + 9 = 31. What is x?
  25. 25.Solve: 7p + 5 = 82. What is p?
  26. 26.Nisha is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  27. 27.Solve: 2x − 1 = 1. What is x?
  28. 28.Solve: 6n − 5 = 1. What is n?
  29. 29.Solve: 3t − 22 = 5. What is t?
  30. 30.Ananya thinks of a number, multiplies it by 6 and then adds 5. The result is 17. What is the number?
  31. 31.Meera’s mother is three times as old as Meera. Their ages add up to 36 years. How old is Meera?
  32. 32.Arjun thinks of a number, multiplies it by 9 and then adds 2. The result is 92. What is the number?
  33. 33.Solve: 9m − 32 = 94. What is m?
  34. 34.Solve: 8n + 7 = 31. What is n?
  35. 35.Solve: 7n − 41 = 64. What is n?
  36. 36.Riya thinks of a number, multiplies it by 2 and then adds 10. The result is 40. What is the number?
  37. 37.Solve: x/7 + 17 = 19. What is x?
  38. 38.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  39. 39.Solve: 9x − 8 = 82. What is x?
  40. 40.Solve: p/5 + 20 = 25. What is p?

Answer key

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

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