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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 457 · 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: x/3 + 18 = 26. What is x?
  2. 2.Zoya thinks of a number, multiplies it by 3 and then adds 22. The result is 28. What is the number?
  3. 3.Solve: 8t + 9 = 105. What is t?
  4. 4.Solve: 4n − 36 = 20. What is n?
  5. 5.Solve: 3x − 1 = 2. What is x?
  6. 6.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 21 years. How old is Saanvi?
  7. 7.Solve: 3(y + 5) = 30. What is y?
  8. 8.Solve: 2(n + 3) = 32. What is n?
  9. 9.Solve: 4(m + 6) = 80. What is m?
  10. 10.Solve: 7m + 20 = 55. What is m?
  11. 11.Dev’s mother is four times as old as Dev. Their ages add up to 60 years. How old is Dev?
  12. 12.Solve: 3(x + 4) = 36. What is x?
  13. 13.Solve: 5x − 42 = 3. What is x?
  14. 14.Solve: 5y + 28 = 58. What is y?
  15. 15.Saanvi is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  16. 16.Zoya thinks of a number, multiplies it by 2 and then adds 11. The result is 37. What is the number?
  17. 17.Solve: 5(y + 5) = 90. What is y?
  18. 18.Zoya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  19. 19.Solve: m/5 + 11 = 14. What is m?
  20. 20.Ananya thinks of a number, multiplies it by 8 and then adds 3. The result is 27. What is the number?
  21. 21.Solve: y/2 + 12 = 21. What is y?
  22. 22.Solve: 9n − 55 = 17. What is n?
  23. 23.Solve: 6t − 7 = 5. What is t?
  24. 24.Aarav is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  25. 25.Solve: 8(n + 8) = 168. What is n?
  26. 26.Rahul’s mother is four times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  27. 27.Solve: 6(n + 5) = 96. What is n?
  28. 28.Solve: 3(m + 9) = 51. What is m?
  29. 29.Arjun thinks of a number, multiplies it by 7 and then adds 6. The result is 111. What is the number?
  30. 30.Solve: 6n − 23 = 7. What is n?
  31. 31.Riya’s mother is twice as old as Riya. Their ages add up to 33 years. How old is Riya?
  32. 32.Solve: 6m + 20 = 92. What is m?
  33. 33.Solve: 5n + 8 = 48. What is n?
  34. 34.Solve: 8t + 30 = 118. What is t?
  35. 35.Solve: 8x − 12 = 4. What is x?
  36. 36.Arjun’s mother is twice as old as Arjun. Their ages add up to 33 years. How old is Arjun?
  37. 37.Solve: 2x + 28 = 58. What is x?
  38. 38.Pooja thinks of a number, multiplies it by 4 and then adds 22. The result is 34. What is the number?
  39. 39.Solve: y/4 + 4 = 8. What is y?
  40. 40.Meera is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?

Answer key

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

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