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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 766 · 40 sums
TalentJR

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: 9x − 1 = 107. What is x?
  2. 2.Solve: 6x + 13 = 55. What is x?
  3. 3.Zoya’s mother is four times as old as Zoya. Their ages add up to 25 years. How old is Zoya?
  4. 4.Solve: 7p + 1 = 64. What is p?
  5. 5.Solve: 4(n + 8) = 40. What is n?
  6. 6.Solve: x/4 + 4 = 6. What is x?
  7. 7.Gurpreet thinks of a number, multiplies it by 2 and then adds 23. The result is 39. What is the number?
  8. 8.Ananya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  9. 9.Solve: 3y − 1 = 38. What is y?
  10. 10.Nisha’s mother is four times as old as Nisha. Their ages add up to 45 years. How old is Nisha?
  11. 11.Solve: 3x − 2 = 4. What is x?
  12. 12.Solve: n/4 + 17 = 26. What is n?
  13. 13.Solve: 5y + 24 = 74. What is y?
  14. 14.Solve: 3y + 12 = 27. What is y?
  15. 15.Solve: 3(x + 4) = 45. What is x?
  16. 16.Saanvi thinks of a number, multiplies it by 5 and then adds 13. The result is 73. What is the number?
  17. 17.Solve: 8(p + 3) = 136. What is p?
  18. 18.Solve: 4t + 24 = 52. What is t?
  19. 19.Solve: 5t + 20 = 40. What is t?
  20. 20.Rahul’s mother is twice as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  21. 21.Rahul thinks of a number, multiplies it by 3 and then adds 8. The result is 35. What is the number?
  22. 22.Solve: 7m − 76 = 22. What is m?
  23. 23.Solve: 8x − 64 = 24. What is x?
  24. 24.Saanvi is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  25. 25.Solve: 9m − 20 = 16. What is m?
  26. 26.Solve: 3(t + 3) = 36. What is t?
  27. 27.Solve: 8(t + 1) = 32. What is t?
  28. 28.Solve: 4t + 18 = 42. What is t?
  29. 29.Nisha is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  30. 30.Solve: 8t + 4 = 60. What is t?
  31. 31.Solve: 6x − 44 = 4. What is x?
  32. 32.Solve: 2y + 3 = 9. What is y?
  33. 33.Solve: 2p − 6 = 8. What is p?
  34. 34.Solve: 9t + 20 = 92. What is t?
  35. 35.Solve: 4(m + 3) = 36. What is m?
  36. 36.Solve: 2p − 8 = 2. What is p?
  37. 37.Sneha thinks of a number, multiplies it by 4 and then adds 25. The result is 61. What is the number?
  38. 38.Solve: p/9 + 11 = 20. What is p?
  39. 39.Riya thinks of a number, multiplies it by 9 and then adds 3. The result is 30. What is the number?
  40. 40.Solve: 3(n + 5) = 33. What is n?

Answer key

  1. 12
  2. 7
  3. 5
  4. 9
  5. 2
  6. 8
  7. 8
  8. 8
  9. 13
  10. 9
  11. 2
  12. 36
  13. 10
  14. 5
  15. 11
  16. 12
  17. 14
  18. 7
  19. 4
  20. 8
  21. 9
  22. 14
  23. 11
  24. 4
  25. 4
  26. 9
  27. 3
  28. 6
  29. 5
  30. 7
  31. 8
  32. 3
  33. 7
  34. 8
  35. 6
  36. 5
  37. 9
  38. 81
  39. 3
  40. 6

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