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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 603 · 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 6x + 13 = 2x + 17, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  2. 2.If 2x + 13 = 19, what is x? (a) 16 (b) 4 (c) 6 (d) 3
  3. 3.If 8x + 2 = 58, what is x? (a) 6 (b) 7 (c) 8 (d) 56
  4. 4.If 3x + 12 = x + 34, what is x? (a) 11 (b) 13 (c) 23 (d) 12
  5. 5.If 2x − 5 = 21, what is x? (a) 14 (b) 8 (c) 13 (d) 26
  6. 6.If x/3 + 5 = 14, what is x? (a) 37 (b) 57 (c) 9 (d) 27
  7. 7.If 5x + 9 = 39, what is x? (a) 5 (b) 6 (c) 7 (d) 30
  8. 8.If x/2 + 4 = 7, what is x? (a) 22 (b) 6 (c) 3 (d) 10
  9. 9.If 7x − 56 = 14, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  10. 10.If 8x − 19 = 29, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  11. 11.If 4x − 36 = 24, what is x? (a) 14 (b) 16 (c) 15 (d) 60
  12. 12.If 7x + 23 = 37, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  13. 13.If x/3 + 6 = 18, what is x? (a) 48 (b) 36 (c) 12 (d) 72
  14. 14.If 8x + 29 = 133, what is x? (a) 12 (b) 104 (c) 14 (d) 13
  15. 15.If x/2 + 13 = 15, what is x? (a) 17 (b) 4 (c) 2 (d) 56
  16. 16.If 2x − 3 = 1, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  17. 17.If x/2 + 13 = 23, what is x? (a) 20 (b) 10 (c) 33 (d) 72
  18. 18.If 4x + 14 = 3x + 18, what is x? (a) 6 (b) 32 (c) 4 (d) 5
  19. 19.If 9x + 18 = 108, what is x? (a) 14 (b) 90 (c) 11 (d) 10
  20. 20.If 5x + 27 = 62, what is x? (a) 7 (b) 35 (c) 8 (d) 6
  21. 21.If 5x + 19 = 4x + 24, what is x? (a) 6 (b) 5 (c) 43 (d) 7
  22. 22.If 6x + 4 = 88, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  23. 23.If 2x + 18 = 34, what is x? (a) 26 (b) 8 (c) 16 (d) 9
  24. 24.If 9x + 28 = 136, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  25. 25.If 3x + 9 = 2x + 14, what is x? (a) 6 (b) 1 (c) 5 (d) 23
  26. 26.If 8x + 3 = 6x + 7, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  27. 27.If 4x + 18 = 2x + 22, what is x? (a) 2 (b) 20 (c) 4 (d) 3
  28. 28.If 7x + 14 = 6x + 20, what is x? (a) 34 (b) 7 (c) 8 (d) 6
  29. 29.If x/3 + 3 = 8, what is x? (a) 15 (b) 21 (c) 5 (d) 33
  30. 30.If x/5 + 4 = 11, what is x? (a) 35 (b) 51 (c) 75 (d) 7
  31. 31.If 9x − 62 = 1, what is x? (a) 7 (b) 8 (c) 63 (d) 6
  32. 32.If x/3 + 2 = 6, what is x? (a) 12 (b) 16 (c) 24 (d) 4
  33. 33.If 8x + 17 = 137, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  34. 34.If 4x − 23 = 21, what is x? (a) 11 (b) 12 (c) 10 (d) 44
  35. 35.If 4x + 9 = 2x + 19, what is x? (a) 5 (b) 6 (c) 7 (d) 14
  36. 36.If x/2 + 13 = 16, what is x? (a) 19 (b) 58 (c) 3 (d) 6
  37. 37.If 8x − 14 = 42, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  38. 38.If 2x − 24 = 4, what is x? (a) 13 (b) 14 (c) 28 (d) 15
  39. 39.If 4x + 27 = 75, what is x? (a) 48 (b) 13 (c) 12 (d) 11
  40. 40.If 7x + 26 = 40, what is x? (a) 1 (b) 14 (c) 2 (d) 3

Answer key

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

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