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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 415 · 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.Tara thinks of a number, multiplies it by 6 and then adds 26. The result is 56. What is the number?
  2. 2.Solve: 6t + 1 = 67. What is t?
  3. 3.Solve: y/8 + 3 = 17. What is y?
  4. 4.Solve: m/3 + 8 = 12. What is m?
  5. 5.Vivaan thinks of a number, multiplies it by 9 and then adds 9. The result is 54. What is the number?
  6. 6.Aditya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  7. 7.Solve: 9m + 14 = 104. What is m?
  8. 8.Solve: m/7 + 1 = 4. What is m?
  9. 9.Kavya’s mother is four times as old as Kavya. Their ages add up to 75 years. How old is Kavya?
  10. 10.Aarav thinks of a number, multiplies it by 8 and then adds 30. The result is 46. What is the number?
  11. 11.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  12. 12.Lakshmi thinks of a number, multiplies it by 2 and then adds 19. The result is 49. What is the number?
  13. 13.Solve: 3t − 3 = 12. What is t?
  14. 14.Solve: 3t + 26 = 56. What is t?
  15. 15.Solve: 8(x + 5) = 112. What is x?
  16. 16.Gurpreet is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  17. 17.Solve: 5x + 26 = 41. What is x?
  18. 18.Solve: 2m + 14 = 40. What is m?
  19. 19.Solve: 5x + 10 = 15. What is x?
  20. 20.Solve: n/2 + 11 = 16. What is n?
  21. 21.Diya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  22. 22.Rohan is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  23. 23.Solve: 4(p + 7) = 72. What is p?
  24. 24.Solve: 6(n + 1) = 90. What is n?
  25. 25.Dev thinks of a number, multiplies it by 9 and then adds 26. The result is 89. What is the number?
  26. 26.Solve: 2x + 26 = 38. What is x?
  27. 27.Solve: x/8 + 5 = 17. What is x?
  28. 28.Solve: y/8 + 1 = 14. What is y?
  29. 29.Karan’s mother is four times as old as Karan. Their ages add up to 55 years. How old is Karan?
  30. 30.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 20 years. How old is Vivaan?
  31. 31.Manav thinks of a number, multiplies it by 7 and then adds 20. The result is 27. What is the number?
  32. 32.Solve: 8y + 21 = 117. What is y?
  33. 33.Solve: 3x − 9 = 6. What is x?
  34. 34.Solve: p/7 + 9 = 11. What is p?
  35. 35.Rahul thinks of a number, multiplies it by 4 and then adds 22. The result is 70. What is the number?
  36. 36.Kavya’s mother is four times as old as Kavya. Their ages add up to 45 years. How old is Kavya?
  37. 37.Solve: 7x − 10 = 32. What is x?
  38. 38.Solve: 4m + 13 = 53. What is m?
  39. 39.Solve: 3x + 16 = 40. What is x?
  40. 40.Priya thinks of a number, multiplies it by 3 and then adds 11. The result is 23. What is the number?

Answer key

  1. 5
  2. 11
  3. 112
  4. 12
  5. 5
  6. 13
  7. 10
  8. 21
  9. 15
  10. 2
  11. 14
  12. 15
  13. 5
  14. 10
  15. 9
  16. 6
  17. 3
  18. 13
  19. 1
  20. 10
  21. 5
  22. 4
  23. 11
  24. 14
  25. 7
  26. 6
  27. 96
  28. 104
  29. 11
  30. 5
  31. 1
  32. 12
  33. 5
  34. 14
  35. 12
  36. 9
  37. 6
  38. 10
  39. 8
  40. 4

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