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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 64 · 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 3x + 15 = 30, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  2. 2.If 5x + 1 = 2x + 10, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  3. 3.If 7x + 10 = 6x + 17, what is x? (a) 8 (b) 9 (c) 27 (d) 7
  4. 4.If x/5 + 14 = 24, what is x? (a) 10 (b) 190 (c) 106 (d) 50
  5. 5.If x/6 + 14 = 23, what is x? (a) 222 (b) 124 (c) 9 (d) 54
  6. 6.If 9x + 6 = 78, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  7. 7.If 4x − 9 = 27, what is x? (a) 8 (b) 36 (c) 9 (d) 10
  8. 8.If 4x − 7 = 33, what is x? (a) 9 (b) 40 (c) 11 (d) 10
  9. 9.If 4x + 5 = 2x + 13, what is x? (a) 5 (b) 4 (c) 6 (d) 9
  10. 10.If 7x − 9 = 5, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  11. 11.If 4x − 17 = 35, what is x? (a) 12 (b) 13 (c) 52 (d) 14
  12. 12.If 8x + 8 = 96, what is x? (a) 88 (b) 12 (c) 13 (d) 11
  13. 13.If x/6 + 14 = 24, what is x? (a) 60 (b) 228 (c) 10 (d) 130
  14. 14.If 7x − 41 = 22, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  15. 15.If 5x + 16 = 4x + 27, what is x? (a) 13 (b) 12 (c) 11 (d) 43
  16. 16.If x/6 + 6 = 16, what is x? (a) 60 (b) 132 (c) 90 (d) 10
  17. 17.If 4x − 2 = 6, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  18. 18.If 5x + 9 = 44, what is x? (a) 6 (b) 35 (c) 7 (d) 8
  19. 19.If 6x + 2 = 4x + 4, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  20. 20.If 9x + 18 = 153, what is x? (a) 16 (b) 135 (c) 15 (d) 19
  21. 21.If x/4 + 12 = 15, what is x? (a) 108 (b) 3 (c) 48 (d) 12
  22. 22.If 3x − 10 = 23, what is x? (a) 12 (b) 11 (c) 33 (d) 10
  23. 23.If 6x + 1 = 2x + 37, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  24. 24.If x/6 + 5 = 14, what is x? (a) 54 (b) 9 (c) 114 (d) 79
  25. 25.If 7x + 18 = 53, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  26. 26.If 2x − 2 = 4, what is x? (a) 1 (b) 4 (c) 6 (d) 3
  27. 27.If 9x − 15 = 39, what is x? (a) 54 (b) 5 (c) 6 (d) 7
  28. 28.If 4x + 13 = 3x + 19, what is x? (a) 8 (b) 6 (c) 7 (d) 32
  29. 29.If 9x + 30 = 66, what is x? (a) 4 (b) 36 (c) 3 (d) 5
  30. 30.If 2x + 5 = 31, what is x? (a) 14 (b) 26 (c) 13 (d) 18
  31. 31.If 7x − 29 = 48, what is x? (a) 12 (b) 11 (c) 77 (d) 10
  32. 32.If 2x + 19 = 35, what is x? (a) 16 (b) 27 (c) 8 (d) 9
  33. 33.If x/6 + 10 = 12, what is x? (a) 2 (b) 62 (c) 12 (d) 132
  34. 34.If 7x − 13 = 22, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  35. 35.If 3x + 18 = 2x + 23, what is x? (a) 6 (b) 1 (c) 5 (d) 41
  36. 36.If 3x + 18 = 60, what is x? (a) 26 (b) 15 (c) 42 (d) 14
  37. 37.If 7x − 1 = 27, what is x? (a) 4 (b) 5 (c) 28 (d) 3
  38. 38.If 9x + 1 = 100, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  39. 39.If x/3 + 1 = 3, what is x? (a) 8 (b) 12 (c) 2 (d) 6
  40. 40.If 8x − 37 = 11, what is x? (a) 5 (b) 48 (c) 6 (d) 7

Answer key

  1. 5
  2. 3
  3. 7
  4. 50
  5. 54
  6. 8
  7. 9
  8. 10
  9. 4
  10. 2
  11. 13
  12. 11
  13. 60
  14. 9
  15. 11
  16. 60
  17. 2
  18. 7
  19. 1
  20. 15
  21. 12
  22. 11
  23. 9
  24. 54
  25. 5
  26. 3
  27. 6
  28. 6
  29. 4
  30. 13
  31. 11
  32. 8
  33. 12
  34. 5
  35. 5
  36. 14
  37. 4
  38. 11
  39. 6
  40. 6

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