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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 309 · 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: 7(p + 9) = 98. What is p?
  2. 2.Solve: 4(t + 5) = 32. What is t?
  3. 3.Riya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  4. 4.Solve: 4t − 3 = 53. What is t?
  5. 5.Ananya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  6. 6.Solve: 5x + 4 = 19. What is x?
  7. 7.Solve: y/4 + 3 = 14. What is y?
  8. 8.Solve: 4y − 38 = 14. What is y?
  9. 9.Zoya thinks of a number, multiplies it by 7 and then adds 21. The result is 98. What is the number?
  10. 10.Solve: x/4 + 17 = 22. What is x?
  11. 11.Meera thinks of a number, multiplies it by 8 and then adds 18. The result is 58. What is the number?
  12. 12.Solve: x/6 + 15 = 24. What is x?
  13. 13.Dev is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  14. 14.Rohan thinks of a number, multiplies it by 3 and then adds 2. The result is 38. What is the number?
  15. 15.Sneha is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  16. 16.Solve: 2p + 20 = 46. What is p?
  17. 17.Solve: 2m − 4 = 6. What is m?
  18. 18.Aditya’s mother is three times as old as Aditya. Their ages add up to 60 years. How old is Aditya?
  19. 19.Solve: 9(y + 8) = 171. What is y?
  20. 20.Saanvi is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  21. 21.Solve: t/4 + 3 = 7. What is t?
  22. 22.Solve: 2t + 8 = 38. What is t?
  23. 23.Solve: 2t − 4 = 8. What is t?
  24. 24.Solve: 2n + 20 = 32. What is n?
  25. 25.Solve: m/6 + 18 = 23. What is m?
  26. 26.Rahul thinks of a number, multiplies it by 9 and then adds 29. The result is 155. What is the number?
  27. 27.Solve: 7x − 5 = 30. What is x?
  28. 28.Solve: 3p + 21 = 27. What is p?
  29. 29.Solve: p/4 + 15 = 30. What is p?
  30. 30.Solve: 9(p + 3) = 72. What is p?
  31. 31.Solve: 6(x + 6) = 54. What is x?
  32. 32.Tara thinks of a number, multiplies it by 8 and then adds 24. The result is 40. What is the number?
  33. 33.Solve: 9x − 10 = 8. What is x?
  34. 34.Gurpreet is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  35. 35.Solve: x/2 + 10 = 16. What is x?
  36. 36.Riya thinks of a number, multiplies it by 9 and then adds 11. The result is 92. What is the number?
  37. 37.Solve: 8n − 7 = 89. What is n?
  38. 38.Arjun is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  39. 39.Solve: p/2 + 5 = 18. What is p?
  40. 40.Solve: 4x + 7 = 55. What is x?

Answer key

  1. 5
  2. 3
  3. 8
  4. 14
  5. 5
  6. 3
  7. 44
  8. 13
  9. 11
  10. 20
  11. 5
  12. 54
  13. 9
  14. 12
  15. 8
  16. 13
  17. 5
  18. 15
  19. 11
  20. 12
  21. 16
  22. 15
  23. 6
  24. 6
  25. 30
  26. 14
  27. 5
  28. 2
  29. 60
  30. 5
  31. 3
  32. 2
  33. 2
  34. 5
  35. 12
  36. 9
  37. 12
  38. 11
  39. 26
  40. 12

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