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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 314 · 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/3 + 18 = 21. What is n?
  2. 2.Solve: y/2 + 9 = 21. What is y?
  3. 3.Solve: 3y + 28 = 34. What is y?
  4. 4.Solve: y/9 + 2 = 3. What is y?
  5. 5.Pooja’s mother is twice as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  6. 6.Solve: 6y + 7 = 85. What is y?
  7. 7.Solve: n/4 + 11 = 18. What is n?
  8. 8.Solve: 8x − 10 = 102. What is x?
  9. 9.Solve: 9y + 8 = 44. What is y?
  10. 10.Aditya is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  11. 11.Solve: y/7 + 9 = 23. What is y?
  12. 12.Solve: 6p + 6 = 66. What is p?
  13. 13.Solve: 3(x + 4) = 48. What is x?
  14. 14.Ishaan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  15. 15.Saanvi thinks of a number, multiplies it by 4 and then adds 1. The result is 37. What is the number?
  16. 16.Solve: n/3 + 15 = 29. What is n?
  17. 17.Solve: p/5 + 18 = 30. What is p?
  18. 18.Solve: 6y − 16 = 8. What is y?
  19. 19.Solve: m/2 + 14 = 28. What is m?
  20. 20.Solve: 4n − 8 = 32. What is n?
  21. 21.Rohan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  22. 22.Solve: 7(x + 4) = 84. What is x?
  23. 23.Ananya thinks of a number, multiplies it by 5 and then adds 14. The result is 69. What is the number?
  24. 24.Solve: 7n + 8 = 113. What is n?
  25. 25.Solve: 3(n + 4) = 48. What is n?
  26. 26.Gurpreet is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  27. 27.Solve: 8n + 25 = 129. What is n?
  28. 28.Solve: 2(n + 1) = 30. What is n?
  29. 29.Solve: p/3 + 13 = 22. What is p?
  30. 30.Nisha thinks of a number, multiplies it by 4 and then adds 23. The result is 31. What is the number?
  31. 31.Solve: p/3 + 17 = 25. What is p?
  32. 32.Rahul is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  33. 33.Solve: 2x + 15 = 17. What is x?
  34. 34.Rohan thinks of a number, multiplies it by 5 and then adds 18. The result is 58. What is the number?
  35. 35.Solve: 2p + 23 = 37. What is p?
  36. 36.Solve: t/9 + 8 = 15. What is t?
  37. 37.Solve: 4x + 11 = 15. What is x?
  38. 38.Solve: 3(p + 3) = 15. What is p?
  39. 39.Solve: 4(y + 4) = 40. What is y?
  40. 40.Solve: 5t − 2 = 13. What is t?

Answer key

  1. 9
  2. 24
  3. 2
  4. 9
  5. 15
  6. 13
  7. 28
  8. 14
  9. 4
  10. 13
  11. 98
  12. 10
  13. 12
  14. 5
  15. 9
  16. 42
  17. 60
  18. 4
  19. 28
  20. 10
  21. 4
  22. 8
  23. 11
  24. 15
  25. 12
  26. 12
  27. 13
  28. 14
  29. 27
  30. 2
  31. 24
  32. 12
  33. 1
  34. 8
  35. 7
  36. 63
  37. 1
  38. 2
  39. 6
  40. 3

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