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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 12 · 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: 9(x + 2) = 27. What is x?
  2. 2.Rahul’s mother is four times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  3. 3.Meera thinks of a number, multiplies it by 8 and then adds 6. The result is 102. What is the number?
  4. 4.Priya thinks of a number, multiplies it by 2 and then adds 23. The result is 41. What is the number?
  5. 5.Solve: 8(n + 7) = 104. What is n?
  6. 6.Solve: y/2 + 2 = 16. What is y?
  7. 7.Gurpreet is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  8. 8.Solve: m/6 + 15 = 24. What is m?
  9. 9.Solve: 4m + 21 = 77. What is m?
  10. 10.Rahul thinks of a number, multiplies it by 4 and then adds 24. The result is 40. What is the number?
  11. 11.Tara thinks of a number, multiplies it by 2 and then adds 28. The result is 50. What is the number?
  12. 12.Solve: p/6 + 19 = 32. What is p?
  13. 13.Farhan thinks of a number, multiplies it by 8 and then adds 13. The result is 109. What is the number?
  14. 14.Solve: y/5 + 8 = 23. What is y?
  15. 15.Solve: 4p + 17 = 73. What is p?
  16. 16.Solve: 9x + 12 = 138. What is x?
  17. 17.Solve: 6y + 11 = 77. What is y?
  18. 18.Solve: y/4 + 9 = 16. What is y?
  19. 19.Rahul thinks of a number, multiplies it by 9 and then adds 30. The result is 102. What is the number?
  20. 20.Solve: 9x + 8 = 98. What is x?
  21. 21.Solve: x/9 + 19 = 31. What is x?
  22. 22.Solve: 5t − 1 = 4. What is t?
  23. 23.Karan is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  24. 24.Solve: 4y + 16 = 64. What is y?
  25. 25.Diya thinks of a number, multiplies it by 7 and then adds 2. The result is 30. What is the number?
  26. 26.Ishaan is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  27. 27.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 20 years. How old is Lakshmi?
  28. 28.Lakshmi thinks of a number, multiplies it by 4 and then adds 15. The result is 23. What is the number?
  29. 29.Solve: 5p + 10 = 40. What is p?
  30. 30.Karan is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  31. 31.Solve: 3m + 8 = 17. What is m?
  32. 32.Solve: 2(t + 1) = 18. What is t?
  33. 33.Gurpreet thinks of a number, multiplies it by 4 and then adds 21. The result is 73. What is the number?
  34. 34.Rahul thinks of a number, multiplies it by 6 and then adds 14. The result is 20. What is the number?
  35. 35.Solve: 3n − 25 = 20. What is n?
  36. 36.Solve: 8m + 6 = 14. What is m?
  37. 37.Solve: 9(x + 3) = 90. What is x?
  38. 38.Solve: 2n − 8 = 6. What is n?
  39. 39.Rohan is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  40. 40.Aditya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?

Answer key

  1. 1
  2. 4
  3. 12
  4. 9
  5. 6
  6. 28
  7. 4
  8. 54
  9. 14
  10. 4
  11. 11
  12. 78
  13. 12
  14. 75
  15. 14
  16. 14
  17. 11
  18. 28
  19. 8
  20. 10
  21. 108
  22. 1
  23. 6
  24. 12
  25. 4
  26. 7
  27. 4
  28. 2
  29. 6
  30. 15
  31. 3
  32. 8
  33. 13
  34. 1
  35. 15
  36. 1
  37. 7
  38. 7
  39. 12
  40. 8

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