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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 893 · 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: 5y − 41 = 14. What is y?
  2. 2.Aditya’s mother is twice as old as Aditya. Their ages add up to 33 years. How old is Aditya?
  3. 3.Solve: 9y + 11 = 20. What is y?
  4. 4.Solve: 9t − 39 = 60. What is t?
  5. 5.Pooja thinks of a number, multiplies it by 4 and then adds 11. The result is 51. What is the number?
  6. 6.Solve: y/3 + 3 = 12. What is y?
  7. 7.Zoya’s mother is twice as old as Zoya. Their ages add up to 24 years. How old is Zoya?
  8. 8.Solve: 8m + 22 = 38. What is m?
  9. 9.Priya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  10. 10.Tara thinks of a number, multiplies it by 5 and then adds 8. The result is 28. What is the number?
  11. 11.Ishaan thinks of a number, multiplies it by 3 and then adds 12. The result is 21. What is the number?
  12. 12.Solve: m/9 + 10 = 15. What is m?
  13. 13.Solve: m/9 + 12 = 13. What is m?
  14. 14.Solve: 2m − 2 = 26. What is m?
  15. 15.Solve: 5y − 29 = 46. What is y?
  16. 16.Vivaan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  17. 17.Solve: 5y − 45 = 5. What is y?
  18. 18.Solve: m/6 + 5 = 14. What is m?
  19. 19.Solve: 9p − 12 = 6. What is p?
  20. 20.Solve: 3n + 4 = 25. What is n?
  21. 21.Nisha thinks of a number, multiplies it by 6 and then adds 16. The result is 94. What is the number?
  22. 22.Solve: 8n − 5 = 11. What is n?
  23. 23.Solve: 8y + 29 = 93. What is y?
  24. 24.Solve: 8p + 20 = 100. What is p?
  25. 25.Pooja thinks of a number, multiplies it by 6 and then adds 14. The result is 44. What is the number?
  26. 26.Solve: 8(y + 5) = 72. What is y?
  27. 27.Solve: 6(p + 2) = 66. What is p?
  28. 28.Solve: 9y + 8 = 80. What is y?
  29. 29.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 40 years. How old is Saanvi?
  30. 30.Ishaan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  31. 31.Solve: 6x − 20 = 34. What is x?
  32. 32.Solve: 2x + 15 = 29. What is x?
  33. 33.Solve: 3t + 12 = 30. What is t?
  34. 34.Lakshmi thinks of a number, multiplies it by 9 and then adds 23. The result is 41. What is the number?
  35. 35.Solve: 5(n + 1) = 80. What is n?
  36. 36.Solve: 9n + 3 = 129. What is n?
  37. 37.Solve: 4y − 12 = 12. What is y?
  38. 38.Solve: 3(t + 4) = 33. What is t?
  39. 39.Karan’s mother is twice as old as Karan. Their ages add up to 42 years. How old is Karan?
  40. 40.Solve: t/6 + 7 = 15. What is t?

Answer key

  1. 11
  2. 11
  3. 1
  4. 11
  5. 10
  6. 27
  7. 8
  8. 2
  9. 12
  10. 4
  11. 3
  12. 45
  13. 9
  14. 14
  15. 15
  16. 5
  17. 10
  18. 54
  19. 2
  20. 7
  21. 13
  22. 2
  23. 8
  24. 10
  25. 5
  26. 4
  27. 9
  28. 8
  29. 8
  30. 14
  31. 9
  32. 7
  33. 6
  34. 2
  35. 15
  36. 14
  37. 6
  38. 7
  39. 14
  40. 48

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