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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 509 · 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.Manav thinks of a number, multiplies it by 9 and then adds 16. The result is 97. What is the number?
  2. 2.Ishaan thinks of a number, multiplies it by 3 and then adds 2. The result is 44. What is the number?
  3. 3.Solve: 5n − 3 = 17. What is n?
  4. 4.Solve: 4(p + 7) = 68. What is p?
  5. 5.Solve: 9(t + 5) = 135. What is t?
  6. 6.Solve: 2n − 6 = 4. What is n?
  7. 7.Solve: 2n − 1 = 1. What is n?
  8. 8.Kavya thinks of a number, multiplies it by 9 and then adds 12. The result is 48. What is the number?
  9. 9.Solve: y/8 + 4 = 10. What is y?
  10. 10.Solve: y/9 + 4 = 5. What is y?
  11. 11.Kabir’s mother is three times as old as Kabir. Their ages add up to 36 years. How old is Kabir?
  12. 12.Priya thinks of a number, multiplies it by 3 and then adds 12. The result is 24. What is the number?
  13. 13.Solve: 9x − 23 = 4. What is x?
  14. 14.Solve: 4(y + 2) = 28. What is y?
  15. 15.Solve: 8x − 40 = 48. What is x?
  16. 16.Solve: 6t + 27 = 117. What is t?
  17. 17.Solve: m/3 + 17 = 20. What is m?
  18. 18.Solve: 8p − 8 = 24. What is p?
  19. 19.Solve: m/6 + 3 = 7. What is m?
  20. 20.Solve: 8m − 1 = 7. What is m?
  21. 21.Gurpreet thinks of a number, multiplies it by 5 and then adds 28. The result is 103. What is the number?
  22. 22.Solve: n/4 + 17 = 25. What is n?
  23. 23.Rahul’s mother is twice as old as Rahul. Their ages add up to 39 years. How old is Rahul?
  24. 24.Solve: 2(t + 7) = 34. What is t?
  25. 25.Solve: x/9 + 1 = 15. What is x?
  26. 26.Solve: 9(y + 4) = 126. What is y?
  27. 27.Solve: 4(n + 9) = 76. What is n?
  28. 28.Solve: 6t + 19 = 67. What is t?
  29. 29.Solve: 8y + 5 = 21. What is y?
  30. 30.Aditya’s mother is twice as old as Aditya. Their ages add up to 39 years. How old is Aditya?
  31. 31.Aditya thinks of a number, multiplies it by 5 and then adds 25. The result is 90. What is the number?
  32. 32.Aarav’s mother is twice as old as Aarav. Their ages add up to 36 years. How old is Aarav?
  33. 33.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  34. 34.Solve: 7x + 19 = 33. What is x?
  35. 35.Solve: 3t + 19 = 64. What is t?
  36. 36.Solve: n/8 + 8 = 17. What is n?
  37. 37.Solve: 3(x + 3) = 54. What is x?
  38. 38.Kabir thinks of a number, multiplies it by 7 and then adds 1. The result is 64. What is the number?
  39. 39.Solve: 7x − 15 = 34. What is x?
  40. 40.Aditya thinks of a number, multiplies it by 2 and then adds 23. The result is 33. What is the number?

Answer key

  1. 9
  2. 14
  3. 4
  4. 10
  5. 10
  6. 5
  7. 1
  8. 4
  9. 48
  10. 9
  11. 9
  12. 4
  13. 3
  14. 5
  15. 11
  16. 15
  17. 9
  18. 4
  19. 24
  20. 1
  21. 15
  22. 32
  23. 13
  24. 10
  25. 126
  26. 10
  27. 10
  28. 8
  29. 2
  30. 13
  31. 13
  32. 12
  33. 6
  34. 2
  35. 15
  36. 72
  37. 15
  38. 9
  39. 7
  40. 5

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