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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 311 · 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: 3(n + 1) = 6. What is n?
  2. 2.Priya thinks of a number, multiplies it by 3 and then adds 9. The result is 45. What is the number?
  3. 3.Solve: 9(t + 6) = 108. What is t?
  4. 4.Solve: 9(x + 8) = 99. What is x?
  5. 5.Solve: 4t − 18 = 42. What is t?
  6. 6.Solve: 9(m + 5) = 162. What is m?
  7. 7.Solve: x/9 + 7 = 20. What is x?
  8. 8.Arjun’s mother is four times as old as Arjun. Their ages add up to 65 years. How old is Arjun?
  9. 9.Solve: 4t + 8 = 48. What is t?
  10. 10.Solve: 6m − 33 = 9. What is m?
  11. 11.Solve: 3m − 19 = 23. What is m?
  12. 12.Solve: 3y − 27 = 9. What is y?
  13. 13.Solve: 8m − 10 = 22. What is m?
  14. 14.Joseph is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  15. 15.Solve: 3(n + 5) = 30. What is n?
  16. 16.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 25 years. How old is Lakshmi?
  17. 17.Solve: 6t + 13 = 79. What is t?
  18. 18.Diya thinks of a number, multiplies it by 6 and then adds 22. The result is 76. What is the number?
  19. 19.Solve: 8y + 7 = 15. What is y?
  20. 20.Solve: 6(n + 6) = 72. What is n?
  21. 21.Solve: 5x + 7 = 72. What is x?
  22. 22.Solve: 3(m + 9) = 69. What is m?
  23. 23.Solve: 2p − 17 = 5. What is p?
  24. 24.Solve: y/6 + 1 = 3. What is y?
  25. 25.Solve: 4x + 3 = 15. What is x?
  26. 26.Solve: 9m + 27 = 126. What is m?
  27. 27.Solve: 8(n + 1) = 88. What is n?
  28. 28.Solve: 2p − 12 = 4. What is p?
  29. 29.Solve: 2(p + 6) = 36. What is p?
  30. 30.Kavya thinks of a number, multiplies it by 6 and then adds 6. The result is 36. What is the number?
  31. 31.Solve: 9x − 23 = 49. What is x?
  32. 32.Isha is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  33. 33.Solve: 8(x + 1) = 120. What is x?
  34. 34.Solve: 6t − 48 = 18. What is t?
  35. 35.Solve: m/3 + 19 = 20. What is m?
  36. 36.Solve: 9x + 5 = 23. What is x?
  37. 37.Rohan thinks of a number, multiplies it by 8 and then adds 11. The result is 75. What is the number?
  38. 38.Solve: 3m + 1 = 19. What is m?
  39. 39.Gurpreet is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  40. 40.Solve: 4y + 15 = 75. What is y?

Answer key

  1. 1
  2. 12
  3. 6
  4. 3
  5. 15
  6. 13
  7. 117
  8. 13
  9. 10
  10. 7
  11. 14
  12. 12
  13. 4
  14. 13
  15. 5
  16. 5
  17. 11
  18. 9
  19. 1
  20. 6
  21. 13
  22. 14
  23. 11
  24. 12
  25. 3
  26. 11
  27. 10
  28. 8
  29. 12
  30. 5
  31. 8
  32. 14
  33. 14
  34. 11
  35. 3
  36. 2
  37. 8
  38. 6
  39. 4
  40. 15

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