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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 611 · 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 + 2 = 3x + 14, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  2. 2.If 7x + 25 = 60, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  3. 3.If 8x − 5 = 35, what is x? (a) 4 (b) 40 (c) 5 (d) 6
  4. 4.If 8x − 12 = 108, what is x? (a) 16 (b) 120 (c) 12 (d) 15
  5. 5.If 3x + 27 = 57, what is x? (a) 28 (b) 11 (c) 10 (d) 30
  6. 6.If 8x + 16 = 128, what is x? (a) 112 (b) 14 (c) 15 (d) 18
  7. 7.If 6x + 25 = 43, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  8. 8.If 5x + 13 = 2x + 19, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  9. 9.If 3x + 6 = 51, what is x? (a) 19 (b) 15 (c) 45 (d) 16
  10. 10.If 8x + 2 = 7x + 8, what is x? (a) 7 (b) 10 (c) 8 (d) 6
  11. 11.If x/3 + 9 = 12, what is x? (a) 3 (b) 9 (c) 27 (d) 63
  12. 12.If 6x + 7 = 25, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  13. 13.If 7x + 2 = 2x + 57, what is x? (a) 10 (b) 13 (c) 11 (d) 12
  14. 14.If 8x − 13 = 11, what is x? (a) 24 (b) 4 (c) 2 (d) 3
  15. 15.If 2x + 13 = 31, what is x? (a) 10 (b) 22 (c) 18 (d) 9
  16. 16.If 9x − 1 = 35, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  17. 17.If 7x + 11 = 102, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  18. 18.If 4x + 4 = 44, what is x? (a) 10 (b) 11 (c) 40 (d) 12
  19. 19.If 3x + 29 = 56, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  20. 20.If 3x + 6 = 2x + 16, what is x? (a) 11 (b) 22 (c) 2 (d) 10
  21. 21.If x/4 + 2 = 10, what is x? (a) 38 (b) 32 (c) 8 (d) 48
  22. 22.If 3x + 5 = 41, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  23. 23.If x/4 + 14 = 17, what is x? (a) 3 (b) 12 (c) 124 (d) 54
  24. 24.If 4x + 5 = x + 29, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  25. 25.If 7x − 13 = 15, what is x? (a) 3 (b) 28 (c) 4 (d) 5
  26. 26.If 4x − 6 = 10, what is x? (a) 16 (b) 4 (c) 1 (d) 5
  27. 27.If 3x + 7 = 25, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  28. 28.If 6x − 31 = 5, what is x? (a) 6 (b) 7 (c) 36 (d) 5
  29. 29.If x/4 + 11 = 18, what is x? (a) 28 (b) 116 (c) 61 (d) 7
  30. 30.If 9x + 15 = 5x + 19, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  31. 31.If 3x − 25 = 8, what is x? (a) 12 (b) 11 (c) 10 (d) 33
  32. 32.If x/3 + 6 = 17, what is x? (a) 11 (b) 45 (c) 69 (d) 33
  33. 33.If 3x + 5 = 2x + 7, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  34. 34.If 4x + 10 = 22, what is x? (a) 4 (b) 12 (c) 8 (d) 3
  35. 35.If 9x + 20 = 155, what is x? (a) 16 (b) 15 (c) 14 (d) 135
  36. 36.If x/6 + 13 = 22, what is x? (a) 210 (b) 119 (c) 9 (d) 54
  37. 37.If 7x + 8 = 3x + 32, what is x? (a) 8 (b) 7 (c) 6 (d) 10
  38. 38.If x/2 + 3 = 15, what is x? (a) 27 (b) 36 (c) 12 (d) 24
  39. 39.If x/2 + 14 = 24, what is x? (a) 20 (b) 76 (c) 10 (d) 34
  40. 40.If 8x + 20 = 5x + 38, what is x? (a) 6 (b) 5 (c) 8 (d) 7

Answer key

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

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