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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 212 · 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.Sneha thinks of a number, multiplies it by 5 and then adds 6. The result is 81. What is the number?
  2. 2.Rahul thinks of a number, multiplies it by 6 and then adds 25. The result is 97. What is the number?
  3. 3.Solve: 8(x + 6) = 120. What is x?
  4. 4.Solve: 7x − 11 = 3. What is x?
  5. 5.Solve: 4x + 15 = 63. What is x?
  6. 6.Solve: x/7 + 2 = 10. What is x?
  7. 7.Solve: p/3 + 11 = 20. What is p?
  8. 8.Gurpreet thinks of a number, multiplies it by 8 and then adds 3. The result is 91. What is the number?
  9. 9.Solve: p/9 + 5 = 14. What is p?
  10. 10.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  11. 11.Arjun is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  12. 12.Riya thinks of a number, multiplies it by 8 and then adds 7. The result is 47. What is the number?
  13. 13.Solve: 3p − 6 = 12. What is p?
  14. 14.Kabir thinks of a number, multiplies it by 7 and then adds 17. The result is 52. What is the number?
  15. 15.Solve: 8(n + 5) = 160. What is n?
  16. 16.Solve: 6m − 30 = 36. What is m?
  17. 17.Solve: 2n + 16 = 36. What is n?
  18. 18.Solve: 7n + 5 = 61. What is n?
  19. 19.Solve: 4y + 23 = 63. What is y?
  20. 20.Isha thinks of a number, multiplies it by 3 and then adds 6. The result is 45. What is the number?
  21. 21.Solve: 6(n + 7) = 66. What is n?
  22. 22.Solve: 6x − 30 = 30. What is x?
  23. 23.Solve: 4n − 7 = 1. What is n?
  24. 24.Meera is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  25. 25.Lakshmi thinks of a number, multiplies it by 7 and then adds 6. The result is 97. What is the number?
  26. 26.Solve: 8t − 5 = 43. What is t?
  27. 27.Solve: 5p + 1 = 51. What is p?
  28. 28.Solve: 7x + 9 = 79. What is x?
  29. 29.Priya thinks of a number, multiplies it by 8 and then adds 13. The result is 93. What is the number?
  30. 30.Aarav thinks of a number, multiplies it by 9 and then adds 3. The result is 84. What is the number?
  31. 31.Pooja is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  32. 32.Solve: 2(n + 2) = 22. What is n?
  33. 33.Solve: 4t + 22 = 30. What is t?
  34. 34.Arjun thinks of a number, multiplies it by 7 and then adds 1. The result is 43. What is the number?
  35. 35.Solve: x/2 + 8 = 9. What is x?
  36. 36.Kabir thinks of a number, multiplies it by 9 and then adds 8. The result is 116. What is the number?
  37. 37.Solve: t/2 + 10 = 13. What is t?
  38. 38.Solve: 2n + 13 = 27. What is n?
  39. 39.Solve: 2t − 1 = 7. What is t?
  40. 40.Solve: 9(m + 1) = 18. What is m?

Answer key

  1. 15
  2. 12
  3. 9
  4. 2
  5. 12
  6. 56
  7. 27
  8. 11
  9. 81
  10. 12
  11. 7
  12. 5
  13. 6
  14. 5
  15. 15
  16. 11
  17. 10
  18. 8
  19. 10
  20. 13
  21. 4
  22. 10
  23. 2
  24. 13
  25. 13
  26. 6
  27. 10
  28. 10
  29. 10
  30. 9
  31. 13
  32. 9
  33. 2
  34. 6
  35. 2
  36. 12
  37. 6
  38. 7
  39. 4
  40. 1

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