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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 385 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If x/5 + 2 = 7, what is x? (a) 25 (b) 33 (c) 45 (d) 5
  2. 2.If x/2 + 13 = 23, what is x? (a) 10 (b) 20 (c) 72 (d) 33
  3. 3.If x/2 + 14 = 26, what is x? (a) 12 (b) 24 (c) 80 (d) 38
  4. 4.If 7x + 19 = 5x + 37, what is x? (a) 10 (b) 9 (c) 11 (d) 28
  5. 5.If x/2 + 13 = 18, what is x? (a) 5 (b) 23 (c) 62 (d) 10
  6. 6.If x/6 + 12 = 21, what is x? (a) 114 (b) 198 (c) 54 (d) 9
  7. 7.If x/2 + 3 = 13, what is x? (a) 32 (b) 23 (c) 10 (d) 20
  8. 8.If 6x + 2 = 4x + 26, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  9. 9.If x/6 + 11 = 15, what is x? (a) 24 (b) 79 (c) 4 (d) 156
  10. 10.If x/2 + 4 = 11, what is x? (a) 18 (b) 14 (c) 30 (d) 7
  11. 11.If 9x + 3 = 4x + 23, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  12. 12.If 3x − 27 = 9, what is x? (a) 12 (b) 13 (c) 11 (d) 36
  13. 13.If 4x + 5 = 3x + 7, what is x? (a) 3 (b) 2 (c) 4 (d) 12
  14. 14.If 3x + 26 = 59, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  15. 15.If x/2 + 8 = 19, what is x? (a) 11 (b) 30 (c) 22 (d) 54
  16. 16.If 2x − 5 = 1, what is x? (a) 2 (b) 4 (c) 6 (d) 3
  17. 17.If 4x + 11 = 2x + 31, what is x? (a) 12 (b) 10 (c) 11 (d) 21
  18. 18.If 3x + 9 = 2x + 18, what is x? (a) 27 (b) 10 (c) 9 (d) 11
  19. 19.If x/3 + 12 = 17, what is x? (a) 87 (b) 39 (c) 5 (d) 15
  20. 20.If x/2 + 3 = 6, what is x? (a) 3 (b) 6 (c) 9 (d) 18
  21. 21.If 3x + 4 = 13, what is x? (a) 2 (b) 3 (c) 9 (d) 4
  22. 22.If 7x − 54 = 9, what is x? (a) 10 (b) 8 (c) 9 (d) 63
  23. 23.If 8x + 17 = 33, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  24. 24.If 7x + 7 = 70, what is x? (a) 63 (b) 9 (c) 11 (d) 10
  25. 25.If 5x + 5 = 25, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  26. 26.If 5x + 7 = 3x + 27, what is x? (a) 10 (b) 17 (c) 12 (d) 11
  27. 27.If 4x + 20 = x + 32, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  28. 28.If 7x + 6 = 6x + 14, what is x? (a) 9 (b) 20 (c) 8 (d) 10
  29. 29.If 2x − 8 = 22, what is x? (a) 30 (b) 7 (c) 16 (d) 15
  30. 30.If 6x + 10 = 34, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  31. 31.If 4x + 28 = 44, what is x? (a) 16 (b) 18 (c) 5 (d) 4
  32. 32.If x/5 + 15 = 26, what is x? (a) 115 (b) 55 (c) 11 (d) 205
  33. 33.If x/4 + 9 = 11, what is x? (a) 2 (b) 8 (c) 80 (d) 35
  34. 34.If x/6 + 5 = 16, what is x? (a) 11 (b) 66 (c) 126 (d) 91
  35. 35.If 8x + 14 = 86, what is x? (a) 9 (b) 72 (c) 8 (d) 10
  36. 36.If 7x − 61 = 44, what is x? (a) 16 (b) 14 (c) 15 (d) 105
  37. 37.If x/6 + 7 = 12, what is x? (a) 5 (b) 30 (c) 65 (d) 114
  38. 38.If 7x + 3 = x + 51, what is x? (a) 8 (b) 6 (c) 10 (d) 9
  39. 39.If 9x + 16 = 61, what is x? (a) 5 (b) 45 (c) 4 (d) 6
  40. 40.If 9x − 13 = 5, what is x? (a) 1 (b) 2 (c) 18 (d) 3

Answer key

  1. 25
  2. 20
  3. 24
  4. 9
  5. 10
  6. 54
  7. 20
  8. 12
  9. 24
  10. 14
  11. 4
  12. 12
  13. 2
  14. 11
  15. 22
  16. 3
  17. 10
  18. 9
  19. 15
  20. 6
  21. 3
  22. 9
  23. 2
  24. 9
  25. 4
  26. 10
  27. 4
  28. 8
  29. 15
  30. 4
  31. 4
  32. 55
  33. 8
  34. 66
  35. 9
  36. 15
  37. 30
  38. 8
  39. 5
  40. 2

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