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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 589 · 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 8x + 7 = 2x + 37, what is x? (a) 5 (b) 3 (c) 7 (d) 6
  2. 2.If 9x + 15 = 141, what is x? (a) 13 (b) 14 (c) 15 (d) 126
  3. 3.If 8x − 89 = 15, what is x? (a) 13 (b) 12 (c) 104 (d) 14
  4. 4.If 6x − 12 = 12, what is x? (a) 24 (b) 5 (c) 4 (d) 3
  5. 5.If 4x + 1 = 3x + 9, what is x? (a) 7 (b) 10 (c) 8 (d) 9
  6. 6.If 7x + 15 = 71, what is x? (a) 56 (b) 7 (c) 8 (d) 9
  7. 7.If 9x + 9 = 2x + 58, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  8. 8.If 7x + 22 = 106, what is x? (a) 13 (b) 11 (c) 84 (d) 12
  9. 9.If 9x + 14 = 32, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  10. 10.If x/3 + 3 = 9, what is x? (a) 6 (b) 36 (c) 24 (d) 18
  11. 11.If 7x + 24 = 87, what is x? (a) 63 (b) 9 (c) 10 (d) 8
  12. 12.If 7x − 18 = 3, what is x? (a) 2 (b) 4 (c) 21 (d) 3
  13. 13.If 9x − 24 = 3, what is x? (a) 4 (b) 2 (c) 27 (d) 3
  14. 14.If 4x + 30 = 86, what is x? (a) 15 (b) 14 (c) 56 (d) 29
  15. 15.If x/6 + 7 = 19, what is x? (a) 156 (b) 12 (c) 107 (d) 72
  16. 16.If x/4 + 2 = 9, what is x? (a) 34 (b) 28 (c) 7 (d) 44
  17. 17.If 2x − 11 = 1, what is x? (a) 12 (b) 6 (c) 5 (d) 7
  18. 18.If 2x − 8 = 2, what is x? (a) 6 (b) 5 (c) 4 (d) 10
  19. 19.If 6x + 14 = x + 74, what is x? (a) 12 (b) 13 (c) 11 (d) 14
  20. 20.If x/5 + 12 = 21, what is x? (a) 45 (b) 165 (c) 93 (d) 9
  21. 21.If x/5 + 4 = 6, what is x? (a) 2 (b) 50 (c) 26 (d) 10
  22. 22.If 8x + 15 = 5x + 24, what is x? (a) 3 (b) 4 (c) 13 (d) 5
  23. 23.If 4x + 13 = x + 37, what is x? (a) 7 (b) 10 (c) 9 (d) 8
  24. 24.If 6x + 6 = 4x + 12, what is x? (a) 4 (b) 3 (c) 9 (d) 5
  25. 25.If 2x − 10 = 2, what is x? (a) 6 (b) 5 (c) 7 (d) 12
  26. 26.If 5x + 11 = 81, what is x? (a) 15 (b) 13 (c) 14 (d) 70
  27. 27.If 3x + 11 = x + 19, what is x? (a) 2 (b) 4 (c) 5 (d) 15
  28. 28.If x/4 + 6 = 12, what is x? (a) 42 (b) 6 (c) 24 (d) 72
  29. 29.If 2x + 10 = 34, what is x? (a) 13 (b) 12 (c) 22 (d) 24
  30. 30.If 5x + 7 = 27, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  31. 31.If 4x + 30 = 66, what is x? (a) 36 (b) 24 (c) 10 (d) 9
  32. 32.If 7x + 19 = 89, what is x? (a) 9 (b) 70 (c) 10 (d) 11
  33. 33.If x/2 + 12 = 19, what is x? (a) 26 (b) 62 (c) 14 (d) 7
  34. 34.If x/2 + 3 = 11, what is x? (a) 19 (b) 28 (c) 16 (d) 8
  35. 35.If 2x + 11 = 25, what is x? (a) 8 (b) 7 (c) 18 (d) 14
  36. 36.If 2x + 3 = 11, what is x? (a) 5 (b) 8 (c) 4 (d) 7
  37. 37.If 2x − 1 = 3, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  38. 38.If 9x + 7 = 6x + 43, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  39. 39.If 9x + 5 = 131, what is x? (a) 13 (b) 15 (c) 14 (d) 126
  40. 40.If 3x + 2 = 2x + 3, what is x? (a) 5 (b) 2 (c) 1 (d) 3

Answer key

  1. 5
  2. 14
  3. 13
  4. 4
  5. 8
  6. 8
  7. 7
  8. 12
  9. 2
  10. 18
  11. 9
  12. 3
  13. 3
  14. 14
  15. 72
  16. 28
  17. 6
  18. 5
  19. 12
  20. 45
  21. 10
  22. 3
  23. 8
  24. 3
  25. 6
  26. 14
  27. 4
  28. 24
  29. 12
  30. 4
  31. 9
  32. 10
  33. 14
  34. 16
  35. 7
  36. 4
  37. 2
  38. 12
  39. 14
  40. 1

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