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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 529 · 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: 4t + 1 = 45. What is t?
  2. 2.Arjun’s mother is three times as old as Arjun. Their ages add up to 48 years. How old is Arjun?
  3. 3.Ishaan thinks of a number, multiplies it by 4 and then adds 26. The result is 78. What is the number?
  4. 4.Solve: x/5 + 12 = 26. What is x?
  5. 5.Solve: 8t − 15 = 49. What is t?
  6. 6.Solve: 3m − 11 = 16. What is m?
  7. 7.Solve: 6(m + 9) = 66. What is m?
  8. 8.Solve: m/2 + 19 = 24. What is m?
  9. 9.Kabir is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  10. 10.Isha thinks of a number, multiplies it by 2 and then adds 14. The result is 24. What is the number?
  11. 11.Solve: 2(y + 7) = 32. What is y?
  12. 12.Solve: m/9 + 15 = 17. What is m?
  13. 13.Solve: 4n + 9 = 21. What is n?
  14. 14.Nisha thinks of a number, multiplies it by 8 and then adds 7. The result is 87. What is the number?
  15. 15.Joseph thinks of a number, multiplies it by 9 and then adds 19. The result is 136. What is the number?
  16. 16.Solve: 9y + 20 = 29. What is y?
  17. 17.Solve: x/2 + 7 = 22. What is x?
  18. 18.Solve: 8m − 43 = 13. What is m?
  19. 19.Solve: t/8 + 6 = 20. What is t?
  20. 20.Solve: 7t + 27 = 104. What is t?
  21. 21.Kavya thinks of a number, multiplies it by 2 and then adds 1. The result is 25. What is the number?
  22. 22.Solve: 5x − 13 = 2. What is x?
  23. 23.Solve: t/4 + 3 = 17. What is t?
  24. 24.Solve: t/2 + 12 = 24. What is t?
  25. 25.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 20 years. How old is Vivaan?
  26. 26.Saanvi thinks of a number, multiplies it by 6 and then adds 9. The result is 69. What is the number?
  27. 27.Solve: p/7 + 7 = 17. What is p?
  28. 28.Tara’s mother is twice as old as Tara. Their ages add up to 39 years. How old is Tara?
  29. 29.Joseph is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  30. 30.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 20 years. How old is Ishaan?
  31. 31.Nisha thinks of a number, multiplies it by 6 and then adds 1. The result is 91. What is the number?
  32. 32.Solve: 7(y + 7) = 56. What is y?
  33. 33.Solve: 9(x + 2) = 54. What is x?
  34. 34.Solve: 2m − 17 = 3. What is m?
  35. 35.Solve: 6t + 2 = 62. What is t?
  36. 36.Kabir’s mother is three times as old as Kabir. Their ages add up to 48 years. How old is Kabir?
  37. 37.Solve: 9x − 13 = 14. What is x?
  38. 38.Nisha is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  39. 39.Solve: 2(x + 7) = 44. What is x?
  40. 40.Solve: 6n + 5 = 41. What is n?

Answer key

  1. 11
  2. 12
  3. 13
  4. 70
  5. 8
  6. 9
  7. 2
  8. 10
  9. 4
  10. 5
  11. 9
  12. 18
  13. 3
  14. 10
  15. 13
  16. 1
  17. 30
  18. 7
  19. 112
  20. 11
  21. 12
  22. 3
  23. 56
  24. 24
  25. 4
  26. 10
  27. 70
  28. 13
  29. 9
  30. 4
  31. 15
  32. 1
  33. 4
  34. 10
  35. 10
  36. 12
  37. 3
  38. 6
  39. 15
  40. 6

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