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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 179 · 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.Arjun’s mother is twice as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  2. 2.Solve: 2t − 1 = 1. What is t?
  3. 3.Zoya thinks of a number, multiplies it by 8 and then adds 10. The result is 34. What is the number?
  4. 4.Solve: 7m − 18 = 66. What is m?
  5. 5.Sneha’s mother is twice as old as Sneha. Their ages add up to 12 years. How old is Sneha?
  6. 6.Solve: 6n − 39 = 51. What is n?
  7. 7.Tara’s mother is three times as old as Tara. Their ages add up to 32 years. How old is Tara?
  8. 8.Solve: p/5 + 10 = 17. What is p?
  9. 9.Solve: 2y + 12 = 30. What is y?
  10. 10.Solve: 4p − 2 = 6. What is p?
  11. 11.Zoya thinks of a number, multiplies it by 5 and then adds 27. The result is 32. What is the number?
  12. 12.Solve: 2y − 6 = 20. What is y?
  13. 13.Solve: n/7 + 11 = 24. What is n?
  14. 14.Rohan’s mother is twice as old as Rohan. Their ages add up to 18 years. How old is Rohan?
  15. 15.Solve: 3p − 33 = 3. What is p?
  16. 16.Solve: n/9 + 20 = 21. What is n?
  17. 17.Solve: x/2 + 17 = 19. What is x?
  18. 18.Rohan thinks of a number, multiplies it by 5 and then adds 7. The result is 47. What is the number?
  19. 19.Solve: 4n − 1 = 3. What is n?
  20. 20.Solve: 5x − 9 = 11. What is x?
  21. 21.Solve: 8m + 4 = 108. What is m?
  22. 22.Solve: 8n − 79 = 17. What is n?
  23. 23.Solve: y/7 + 16 = 26. What is y?
  24. 24.Solve: m/4 + 19 = 29. What is m?
  25. 25.Solve: 6(p + 9) = 144. What is p?
  26. 26.Solve: 4n − 9 = 27. What is n?
  27. 27.Karan thinks of a number, multiplies it by 6 and then adds 8. The result is 80. What is the number?
  28. 28.Sneha’s mother is four times as old as Sneha. Their ages add up to 40 years. How old is Sneha?
  29. 29.Solve: 9(p + 1) = 117. What is p?
  30. 30.Solve: p/5 + 20 = 29. What is p?
  31. 31.Solve: 8(t + 2) = 32. What is t?
  32. 32.Pooja’s mother is four times as old as Pooja. Their ages add up to 75 years. How old is Pooja?
  33. 33.Zoya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  34. 34.Karan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  35. 35.Solve: 9n − 124 = 2. What is n?
  36. 36.Karan is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  37. 37.Solve: 2n + 6 = 14. What is n?
  38. 38.Isha is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  39. 39.Tara thinks of a number, multiplies it by 6 and then adds 22. The result is 58. What is the number?
  40. 40.Rahul thinks of a number, multiplies it by 5 and then adds 10. The result is 50. What is the number?

Answer key

  1. 8
  2. 1
  3. 3
  4. 12
  5. 4
  6. 15
  7. 8
  8. 35
  9. 9
  10. 2
  11. 1
  12. 13
  13. 91
  14. 6
  15. 12
  16. 9
  17. 4
  18. 8
  19. 1
  20. 4
  21. 13
  22. 12
  23. 70
  24. 40
  25. 15
  26. 9
  27. 12
  28. 8
  29. 12
  30. 45
  31. 2
  32. 15
  33. 4
  34. 4
  35. 14
  36. 11
  37. 4
  38. 13
  39. 6
  40. 8

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