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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 223 · 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 5x + 4 = 64, what is x? (a) 11 (b) 12 (c) 60 (d) 13
  2. 2.If 9x + 13 = 31, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  3. 3.If 2x + 24 = 30, what is x? (a) 4 (b) 6 (c) 3 (d) 27
  4. 4.If 6x + 18 = 3x + 30, what is x? (a) 4 (b) 6 (c) 16 (d) 5
  5. 5.If x/5 + 2 = 12, what is x? (a) 70 (b) 50 (c) 10 (d) 58
  6. 6.If x/2 + 1 = 11, what is x? (a) 10 (b) 20 (c) 24 (d) 21
  7. 7.If 9x + 2 = 3x + 8, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  8. 8.If x/6 + 8 = 16, what is x? (a) 48 (b) 88 (c) 144 (d) 8
  9. 9.If 3x − 3 = 9, what is x? (a) 5 (b) 2 (c) 12 (d) 4
  10. 10.If 8x + 17 = 81, what is x? (a) 64 (b) 8 (c) 7 (d) 9
  11. 11.If 9x + 19 = 3x + 79, what is x? (a) 10 (b) 5 (c) 11 (d) 12
  12. 12.If 7x + 1 = 29, what is x? (a) 3 (b) 28 (c) 4 (d) 5
  13. 13.If 9x + 19 = 145, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  14. 14.If x/3 + 4 = 15, what is x? (a) 57 (b) 41 (c) 33 (d) 11
  15. 15.If 5x + 19 = 29, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  16. 16.If 4x − 37 = 15, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  17. 17.If 5x − 19 = 56, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  18. 18.If 3x + 9 = x + 13, what is x? (a) 1 (b) 2 (c) 11 (d) 3
  19. 19.If x/5 + 15 = 26, what is x? (a) 205 (b) 11 (c) 55 (d) 115
  20. 20.If x/4 + 4 = 10, what is x? (a) 6 (b) 56 (c) 36 (d) 24
  21. 21.If x/4 + 12 = 16, what is x? (a) 4 (b) 112 (c) 52 (d) 16
  22. 22.If 6x − 10 = 8, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  23. 23.If 2x + 27 = 53, what is x? (a) 13 (b) 26 (c) 14 (d) 40
  24. 24.If 6x + 29 = 119, what is x? (a) 14 (b) 16 (c) 15 (d) 90
  25. 25.If 6x + 10 = 3x + 22, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  26. 26.If 9x + 16 = 4x + 21, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  27. 27.If 3x + 18 = 2x + 20, what is x? (a) 4 (b) 2 (c) 38 (d) 3
  28. 28.If 7x − 19 = 16, what is x? (a) 6 (b) 4 (c) 5 (d) 35
  29. 29.If 5x + 22 = 87, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  30. 30.If 7x − 39 = 38, what is x? (a) 12 (b) 10 (c) 11 (d) 77
  31. 31.If 8x + 11 = 3x + 26, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  32. 32.If 3x − 6 = 9, what is x? (a) 15 (b) 1 (c) 6 (d) 5
  33. 33.If x/6 + 15 = 22, what is x? (a) 42 (b) 7 (c) 117 (d) 222
  34. 34.If 8x − 39 = 1, what is x? (a) 5 (b) 40 (c) 4 (d) 6
  35. 35.If 6x − 7 = 17, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  36. 36.If 6x − 44 = 10, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  37. 37.If 5x + 7 = 17, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  38. 38.If 7x − 32 = 66, what is x? (a) 98 (b) 14 (c) 15 (d) 13
  39. 39.If 3x + 17 = 2x + 20, what is x? (a) 37 (b) 5 (c) 3 (d) 4
  40. 40.If 4x + 6 = 22, what is x? (a) 16 (b) 5 (c) 4 (d) 7

Answer key

  1. 12
  2. 2
  3. 3
  4. 4
  5. 50
  6. 20
  7. 1
  8. 48
  9. 4
  10. 8
  11. 10
  12. 4
  13. 14
  14. 33
  15. 2
  16. 13
  17. 15
  18. 2
  19. 55
  20. 24
  21. 16
  22. 3
  23. 13
  24. 15
  25. 4
  26. 1
  27. 2
  28. 5
  29. 13
  30. 11
  31. 3
  32. 5
  33. 42
  34. 5
  35. 4
  36. 9
  37. 2
  38. 14
  39. 3
  40. 4

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