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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 986 · 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 + 13 = 52, what is x? (a) 39 (b) 13 (c) 14 (d) 12
  2. 2.If 8x + 13 = 7x + 24, what is x? (a) 11 (b) 12 (c) 13 (d) 37
  3. 3.If x/5 + 2 = 9, what is x? (a) 55 (b) 7 (c) 43 (d) 35
  4. 4.If 3x + 2 = 2x + 6, what is x? (a) 5 (b) 8 (c) 6 (d) 4
  5. 5.If 9x + 8 = 7x + 28, what is x? (a) 11 (b) 10 (c) 12 (d) 18
  6. 6.If 4x − 12 = 40, what is x? (a) 7 (b) 13 (c) 52 (d) 14
  7. 7.If x/3 + 1 = 5, what is x? (a) 12 (b) 4 (c) 14 (d) 18
  8. 8.If x/2 + 1 = 13, what is x? (a) 12 (b) 25 (c) 28 (d) 24
  9. 9.If x/6 + 10 = 12, what is x? (a) 132 (b) 2 (c) 62 (d) 12
  10. 10.If x/4 + 11 = 23, what is x? (a) 136 (b) 12 (c) 48 (d) 81
  11. 11.If x/5 + 10 = 19, what is x? (a) 9 (b) 45 (c) 145 (d) 85
  12. 12.If 7x + 9 = 3x + 25, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  13. 13.If x/5 + 11 = 16, what is x? (a) 135 (b) 25 (c) 5 (d) 69
  14. 14.If 2x − 14 = 4, what is x? (a) 9 (b) 8 (c) 10 (d) 18
  15. 15.If x/2 + 15 = 23, what is x? (a) 8 (b) 76 (c) 16 (d) 31
  16. 16.If 2x − 6 = 8, what is x? (a) 1 (b) 14 (c) 8 (d) 7
  17. 17.If x/3 + 1 = 3, what is x? (a) 8 (b) 2 (c) 12 (d) 6
  18. 18.If 5x − 3 = 7, what is x? (a) 10 (b) 2 (c) 1 (d) 3
  19. 19.If 3x + 9 = 2x + 18, what is x? (a) 27 (b) 9 (c) 10 (d) 11
  20. 20.If 5x + 2 = 4x + 7, what is x? (a) 6 (b) 5 (c) 7 (d) 9
  21. 21.If 2x − 1 = 5, what is x? (a) 2 (b) 6 (c) 3 (d) 4
  22. 22.If x/2 + 12 = 22, what is x? (a) 68 (b) 20 (c) 10 (d) 32
  23. 23.If 2x − 2 = 2, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  24. 24.If 6x + 14 = x + 24, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  25. 25.If 7x + 18 = 6x + 28, what is x? (a) 46 (b) 12 (c) 11 (d) 10
  26. 26.If 2x − 12 = 2, what is x? (a) 8 (b) 6 (c) 7 (d) 14
  27. 27.If 5x − 8 = 37, what is x? (a) 10 (b) 9 (c) 45 (d) 8
  28. 28.If x/4 + 10 = 21, what is x? (a) 124 (b) 74 (c) 44 (d) 11
  29. 29.If 8x + 20 = 84, what is x? (a) 8 (b) 13 (c) 9 (d) 64
  30. 30.If 5x − 31 = 4, what is x? (a) 6 (b) 7 (c) 35 (d) 8
  31. 31.If 6x + 11 = 83, what is x? (a) 13 (b) 12 (c) 11 (d) 72
  32. 32.If 4x − 12 = 16, what is x? (a) 28 (b) 8 (c) 7 (d) 1
  33. 33.If 4x + 7 = x + 19, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  34. 34.If 9x − 112 = 14, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  35. 35.If 8x + 3 = x + 31, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  36. 36.If 6x + 15 = 5x + 19, what is x? (a) 5 (b) 4 (c) 34 (d) 6
  37. 37.If x/5 + 1 = 3, what is x? (a) 20 (b) 14 (c) 2 (d) 10
  38. 38.If 9x + 9 = 126, what is x? (a) 14 (b) 117 (c) 15 (d) 13
  39. 39.If 6x + 16 = 5x + 19, what is x? (a) 4 (b) 3 (c) 35 (d) 5
  40. 40.If 6x + 6 = 4x + 28, what is x? (a) 17 (b) 11 (c) 13 (d) 12

Answer key

  1. 13
  2. 11
  3. 35
  4. 4
  5. 10
  6. 13
  7. 12
  8. 24
  9. 12
  10. 48
  11. 45
  12. 4
  13. 25
  14. 9
  15. 16
  16. 7
  17. 6
  18. 2
  19. 9
  20. 5
  21. 3
  22. 20
  23. 2
  24. 2
  25. 10
  26. 7
  27. 9
  28. 44
  29. 8
  30. 7
  31. 12
  32. 7
  33. 4
  34. 14
  35. 4
  36. 4
  37. 10
  38. 13
  39. 3
  40. 11

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