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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 174 · 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: n/7 + 9 = 23. What is n?
  2. 2.Solve: 6m − 24 = 6. What is m?
  3. 3.Solve: 6(m + 3) = 36. What is m?
  4. 4.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  5. 5.Solve: 7(y + 7) = 56. What is y?
  6. 6.Solve: 2(y + 2) = 20. What is y?
  7. 7.Solve: 9m − 98 = 37. What is m?
  8. 8.Solve: 5(y + 3) = 40. What is y?
  9. 9.Solve: 4n + 2 = 22. What is n?
  10. 10.Solve: p/3 + 8 = 12. What is p?
  11. 11.Solve: 4n + 2 = 46. What is n?
  12. 12.Solve: 9t + 5 = 95. What is t?
  13. 13.Solve: 8(t + 7) = 112. What is t?
  14. 14.Solve: 6y + 16 = 70. What is y?
  15. 15.Solve: 4(y + 2) = 20. What is y?
  16. 16.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 30 years. How old is Lakshmi?
  17. 17.Riya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  18. 18.Solve: 8y + 20 = 100. What is y?
  19. 19.Solve: 5t + 2 = 47. What is t?
  20. 20.Tara is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  21. 21.Gurpreet thinks of a number, multiplies it by 8 and then adds 20. The result is 60. What is the number?
  22. 22.Solve: 2n + 28 = 34. What is n?
  23. 23.Diya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  24. 24.Solve: 9(n + 2) = 108. What is n?
  25. 25.Solve: 3y − 11 = 10. What is y?
  26. 26.Solve: 2(y + 1) = 16. What is y?
  27. 27.Solve: 8n − 13 = 91. What is n?
  28. 28.Dev thinks of a number, multiplies it by 9 and then adds 1. The result is 118. What is the number?
  29. 29.Solve: 8(m + 2) = 24. What is m?
  30. 30.Solve: 8t + 18 = 106. What is t?
  31. 31.Solve: 3y + 26 = 44. What is y?
  32. 32.Solve: 9n − 83 = 25. What is n?
  33. 33.Aditya thinks of a number, multiplies it by 2 and then adds 1. The result is 9. What is the number?
  34. 34.Solve: x/6 + 12 = 13. What is x?
  35. 35.Gurpreet thinks of a number, multiplies it by 8 and then adds 29. The result is 125. What is the number?
  36. 36.Diya thinks of a number, multiplies it by 7 and then adds 16. The result is 51. What is the number?
  37. 37.Solve: m/9 + 19 = 27. What is m?
  38. 38.Solve: t/5 + 11 = 13. What is t?
  39. 39.Arjun thinks of a number, multiplies it by 4 and then adds 29. The result is 73. What is the number?
  40. 40.Solve: y/3 + 7 = 11. What is y?

Answer key

  1. 98
  2. 5
  3. 3
  4. 12
  5. 1
  6. 8
  7. 15
  8. 5
  9. 5
  10. 12
  11. 11
  12. 10
  13. 7
  14. 9
  15. 3
  16. 6
  17. 11
  18. 10
  19. 9
  20. 5
  21. 5
  22. 3
  23. 14
  24. 10
  25. 7
  26. 7
  27. 13
  28. 13
  29. 1
  30. 11
  31. 6
  32. 12
  33. 4
  34. 6
  35. 12
  36. 5
  37. 72
  38. 10
  39. 11
  40. 12

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