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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 329 · 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(x + 6) = 91. What is x?
  2. 2.Pooja is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  3. 3.Solve: t/9 + 17 = 22. What is t?
  4. 4.Aditya thinks of a number, multiplies it by 4 and then adds 1. The result is 5. What is the number?
  5. 5.Solve: 3p + 24 = 57. What is p?
  6. 6.Manav’s mother is four times as old as Manav. Their ages add up to 65 years. How old is Manav?
  7. 7.Solve: 8(m + 5) = 128. What is m?
  8. 8.Karan thinks of a number, multiplies it by 2 and then adds 13. The result is 23. What is the number?
  9. 9.Solve: 2y − 8 = 2. What is y?
  10. 10.Joseph is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  11. 11.Solve: 9m + 15 = 114. What is m?
  12. 12.Solve: 2p + 12 = 42. What is p?
  13. 13.Solve: 5t − 4 = 26. What is t?
  14. 14.Solve: 4(y + 5) = 24. What is y?
  15. 15.Solve: 7(t + 1) = 98. What is t?
  16. 16.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 20 years. How old is Lakshmi?
  17. 17.Solve: 8(x + 1) = 128. What is x?
  18. 18.Solve: 6y − 16 = 68. What is y?
  19. 19.Solve: 8x + 5 = 21. What is x?
  20. 20.Sneha thinks of a number, multiplies it by 7 and then adds 5. The result is 82. What is the number?
  21. 21.Rahul thinks of a number, multiplies it by 8 and then adds 12. The result is 92. What is the number?
  22. 22.Gurpreet thinks of a number, multiplies it by 8 and then adds 19. The result is 139. What is the number?
  23. 23.Rohan thinks of a number, multiplies it by 3 and then adds 12. The result is 30. What is the number?
  24. 24.Nisha thinks of a number, multiplies it by 8 and then adds 4. The result is 124. What is the number?
  25. 25.Aditya’s mother is twice as old as Aditya. Their ages add up to 45 years. How old is Aditya?
  26. 26.Rohan’s mother is four times as old as Rohan. Their ages add up to 25 years. How old is Rohan?
  27. 27.Solve: 7(x + 4) = 91. What is x?
  28. 28.Joseph is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  29. 29.Solve: 5(y + 2) = 35. What is y?
  30. 30.Kabir thinks of a number, multiplies it by 8 and then adds 2. The result is 90. What is the number?
  31. 31.Gurpreet is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  32. 32.Saanvi is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  33. 33.Solve: 8m − 26 = 14. What is m?
  34. 34.Solve: 6m − 27 = 15. What is m?
  35. 35.Sneha is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Solve: 8y + 19 = 83. What is y?
  37. 37.Solve: t/7 + 2 = 17. What is t?
  38. 38.Solve: 2x + 17 = 43. What is x?
  39. 39.Farhan thinks of a number, multiplies it by 7 and then adds 19. The result is 33. What is the number?
  40. 40.Solve: 8n − 32 = 64. What is n?

Answer key

  1. 7
  2. 14
  3. 45
  4. 1
  5. 11
  6. 13
  7. 11
  8. 5
  9. 5
  10. 10
  11. 11
  12. 15
  13. 6
  14. 1
  15. 13
  16. 4
  17. 15
  18. 14
  19. 2
  20. 11
  21. 10
  22. 15
  23. 6
  24. 15
  25. 15
  26. 5
  27. 9
  28. 4
  29. 5
  30. 11
  31. 15
  32. 11
  33. 5
  34. 7
  35. 5
  36. 8
  37. 105
  38. 13
  39. 2
  40. 12

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