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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 812 · 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: 4(t + 9) = 84. What is t?
  2. 2.Solve: 5t + 10 = 40. What is t?
  3. 3.Diya thinks of a number, multiplies it by 8 and then adds 3. The result is 107. What is the number?
  4. 4.Sneha is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  5. 5.Rohan thinks of a number, multiplies it by 5 and then adds 9. The result is 24. What is the number?
  6. 6.Solve: 8y − 18 = 30. What is y?
  7. 7.Nisha thinks of a number, multiplies it by 7 and then adds 13. The result is 55. What is the number?
  8. 8.Solve: 9x + 30 = 147. What is x?
  9. 9.Solve: 5m − 6 = 54. What is m?
  10. 10.Solve: 4n + 29 = 89. What is n?
  11. 11.Solve: 3y − 9 = 6. What is y?
  12. 12.Joseph is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  13. 13.Solve: x/6 + 16 = 31. What is x?
  14. 14.Solve: 8(t + 6) = 80. What is t?
  15. 15.Ananya is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Tara thinks of a number, multiplies it by 3 and then adds 2. The result is 38. What is the number?
  17. 17.Solve: n/2 + 16 = 19. What is n?
  18. 18.Solve: 4t + 25 = 29. What is t?
  19. 19.Solve: 8n − 1 = 103. What is n?
  20. 20.Solve: 6t + 28 = 106. What is t?
  21. 21.Solve: 9t − 31 = 77. What is t?
  22. 22.Solve: 5(n + 7) = 40. What is n?
  23. 23.Saanvi thinks of a number, multiplies it by 9 and then adds 5. The result is 32. What is the number?
  24. 24.Solve: 9t + 27 = 63. What is t?
  25. 25.Riya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  26. 26.Solve: 7x + 7 = 35. What is x?
  27. 27.Vivaan thinks of a number, multiplies it by 8 and then adds 7. The result is 31. What is the number?
  28. 28.Solve: 6y − 10 = 2. What is y?
  29. 29.Solve: 5(p + 2) = 75. What is p?
  30. 30.Solve: 8y + 24 = 32. What is y?
  31. 31.Isha’s mother is four times as old as Isha. Their ages add up to 60 years. How old is Isha?
  32. 32.Sneha’s mother is three times as old as Sneha. Their ages add up to 28 years. How old is Sneha?
  33. 33.Solve: 3n − 8 = 25. What is n?
  34. 34.Solve: 7(y + 3) = 56. What is y?
  35. 35.Solve: 4(x + 1) = 60. What is x?
  36. 36.Solve: y/9 + 18 = 21. What is y?
  37. 37.Vivaan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  38. 38.Solve: 9t + 12 = 39. What is t?
  39. 39.Solve: 6x + 26 = 80. What is x?
  40. 40.Solve: 4n − 9 = 35. What is n?

Answer key

  1. 12
  2. 6
  3. 13
  4. 7
  5. 3
  6. 6
  7. 6
  8. 13
  9. 12
  10. 15
  11. 5
  12. 11
  13. 90
  14. 4
  15. 10
  16. 12
  17. 6
  18. 1
  19. 13
  20. 13
  21. 12
  22. 1
  23. 3
  24. 4
  25. 12
  26. 4
  27. 3
  28. 2
  29. 13
  30. 1
  31. 12
  32. 7
  33. 11
  34. 5
  35. 14
  36. 27
  37. 8
  38. 3
  39. 9
  40. 11

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