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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 763 · 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.Karan thinks of a number, multiplies it by 2 and then adds 16. The result is 30. What is the number?
  2. 2.Gurpreet thinks of a number, multiplies it by 9 and then adds 3. The result is 57. What is the number?
  3. 3.Solve: y/2 + 5 = 9. What is y?
  4. 4.Tara’s mother is twice as old as Tara. Their ages add up to 18 years. How old is Tara?
  5. 5.Solve: 4x − 5 = 35. What is x?
  6. 6.Diya’s mother is twice as old as Diya. Their ages add up to 15 years. How old is Diya?
  7. 7.Solve: 5n − 2 = 18. What is n?
  8. 8.Solve: y/3 + 6 = 12. What is y?
  9. 9.Solve: 6t + 21 = 69. What is t?
  10. 10.Kavya thinks of a number, multiplies it by 8 and then adds 15. The result is 71. What is the number?
  11. 11.Solve: n/8 + 20 = 23. What is n?
  12. 12.Solve: 8(x + 8) = 88. What is x?
  13. 13.Tara thinks of a number, multiplies it by 4 and then adds 5. The result is 17. What is the number?
  14. 14.Solve: t/3 + 4 = 15. What is t?
  15. 15.Solve: 7p − 37 = 5. What is p?
  16. 16.Solve: 8n + 17 = 33. What is n?
  17. 17.Solve: x/3 + 1 = 11. What is x?
  18. 18.Solve: 2(x + 5) = 12. What is x?
  19. 19.Solve: 3n − 5 = 4. What is n?
  20. 20.Solve: 4x + 4 = 8. What is x?
  21. 21.Solve: 4y + 29 = 85. What is y?
  22. 22.Solve: p/4 + 7 = 10. What is p?
  23. 23.Rahul’s mother is four times as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  24. 24.Solve: 8(y + 9) = 120. What is y?
  25. 25.Riya thinks of a number, multiplies it by 6 and then adds 9. The result is 15. What is the number?
  26. 26.Rohan thinks of a number, multiplies it by 8 and then adds 22. The result is 94. What is the number?
  27. 27.Solve: 5t − 14 = 41. What is t?
  28. 28.Solve: n/2 + 20 = 24. What is n?
  29. 29.Solve: 4n + 29 = 33. What is n?
  30. 30.Solve: y/2 + 19 = 31. What is y?
  31. 31.Solve: t/3 + 3 = 10. What is t?
  32. 32.Sneha thinks of a number, multiplies it by 7 and then adds 25. The result is 32. What is the number?
  33. 33.Solve: 9(n + 2) = 126. What is n?
  34. 34.Solve: 3(x + 7) = 54. What is x?
  35. 35.Solve: x/8 + 5 = 9. What is x?
  36. 36.Solve: 9y − 60 = 39. What is y?
  37. 37.Solve: 3x − 9 = 15. What is x?
  38. 38.Solve: y/2 + 19 = 27. What is y?
  39. 39.Solve: 7y − 9 = 12. What is y?
  40. 40.Dev’s mother is three times as old as Dev. Their ages add up to 32 years. How old is Dev?

Answer key

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

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