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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 350 · 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 9x + 18 = 144, what is x? (a) 126 (b) 14 (c) 18 (d) 15
  2. 2.If 9x + 6 = x + 62, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  3. 3.If 4x − 15 = 5, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  4. 4.If 3x + 19 = x + 29, what is x? (a) 5 (b) 6 (c) 7 (d) 24
  5. 5.If 6x − 2 = 28, what is x? (a) 4 (b) 6 (c) 30 (d) 5
  6. 6.If 8x − 57 = 23, what is x? (a) 9 (b) 11 (c) 10 (d) 80
  7. 7.If 4x − 18 = 2, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  8. 8.If 7x − 3 = 88, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  9. 9.If 9x + 6 = 105, what is x? (a) 11 (b) 99 (c) 10 (d) 12
  10. 10.If 6x + 24 = 96, what is x? (a) 20 (b) 12 (c) 72 (d) 13
  11. 11.If x/4 + 6 = 18, what is x? (a) 96 (b) 66 (c) 12 (d) 48
  12. 12.If x/2 + 11 = 23, what is x? (a) 24 (b) 35 (c) 12 (d) 68
  13. 13.If 4x + 13 = x + 22, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  14. 14.If x/4 + 6 = 17, what is x? (a) 44 (b) 11 (c) 62 (d) 92
  15. 15.If 4x − 30 = 14, what is x? (a) 12 (b) 10 (c) 44 (d) 11
  16. 16.If 8x − 62 = 18, what is x? (a) 9 (b) 80 (c) 10 (d) 11
  17. 17.If x/2 + 3 = 6, what is x? (a) 3 (b) 9 (c) 6 (d) 18
  18. 18.If x/3 + 6 = 17, what is x? (a) 69 (b) 45 (c) 11 (d) 33
  19. 19.If x/6 + 2 = 6, what is x? (a) 34 (b) 24 (c) 48 (d) 4
  20. 20.If x/4 + 14 = 18, what is x? (a) 58 (b) 16 (c) 4 (d) 128
  21. 21.If 4x − 14 = 6, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  22. 22.If 7x − 2 = 54, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  23. 23.If 8x − 28 = 44, what is x? (a) 10 (b) 72 (c) 2 (d) 9
  24. 24.If x/5 + 14 = 19, what is x? (a) 5 (b) 165 (c) 81 (d) 25
  25. 25.If 3x + 3 = 2x + 4, what is x? (a) 2 (b) 3 (c) 7 (d) 1
  26. 26.If 4x − 3 = 5, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  27. 27.If x/3 + 13 = 17, what is x? (a) 90 (b) 12 (c) 4 (d) 38
  28. 28.If 7x + 30 = 51, what is x? (a) 2 (b) 3 (c) 4 (d) 21
  29. 29.If x/2 + 2 = 6, what is x? (a) 16 (b) 8 (c) 4 (d) 10
  30. 30.If 4x − 6 = 10, what is x? (a) 16 (b) 1 (c) 4 (d) 5
  31. 31.If 5x − 18 = 2, what is x? (a) 5 (b) 3 (c) 4 (d) 20
  32. 32.If 2x + 2 = 22, what is x? (a) 12 (b) 20 (c) 11 (d) 10
  33. 33.If 2x + 6 = 14, what is x? (a) 10 (b) 5 (c) 4 (d) 8
  34. 34.If x/3 + 9 = 14, what is x? (a) 5 (b) 33 (c) 15 (d) 69
  35. 35.If 4x − 5 = 3, what is x? (a) 1 (b) 3 (c) 2 (d) 8
  36. 36.If 7x + 1 = x + 67, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  37. 37.If 2x + 1 = 7, what is x? (a) 3 (b) 6 (c) 2 (d) 4
  38. 38.If 3x + 11 = 56, what is x? (a) 16 (b) 14 (c) 15 (d) 45
  39. 39.If x/2 + 5 = 14, what is x? (a) 38 (b) 18 (c) 23 (d) 9
  40. 40.If 4x + 16 = 40, what is x? (a) 14 (b) 24 (c) 7 (d) 6

Answer key

  1. 14
  2. 7
  3. 5
  4. 5
  5. 5
  6. 10
  7. 5
  8. 13
  9. 11
  10. 12
  11. 48
  12. 24
  13. 3
  14. 44
  15. 11
  16. 10
  17. 6
  18. 33
  19. 24
  20. 16
  21. 5
  22. 8
  23. 9
  24. 25
  25. 1
  26. 2
  27. 12
  28. 3
  29. 8
  30. 4
  31. 4
  32. 10
  33. 4
  34. 15
  35. 2
  36. 11
  37. 3
  38. 15
  39. 18
  40. 6

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