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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 840 · 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 x/4 + 1 = 9, what is x? (a) 32 (b) 8 (c) 40 (d) 35
  2. 2.If 8x + 9 = 129, what is x? (a) 14 (b) 15 (c) 16 (d) 120
  3. 3.If 3x + 16 = 2x + 25, what is x? (a) 9 (b) 41 (c) 10 (d) 11
  4. 4.If 8x + 17 = 97, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  5. 5.If 2x − 4 = 4, what is x? (a) 3 (b) 8 (c) 5 (d) 4
  6. 6.If x/5 + 14 = 17, what is x? (a) 15 (b) 155 (c) 3 (d) 71
  7. 7.If 9x + 21 = 39, what is x? (a) 1 (b) 2 (c) 3 (d) 18
  8. 8.If 5x + 20 = 45, what is x? (a) 25 (b) 13 (c) 5 (d) 6
  9. 9.If x/3 + 12 = 23, what is x? (a) 11 (b) 105 (c) 33 (d) 57
  10. 10.If 2x − 3 = 3, what is x? (a) 6 (b) 4 (c) 2 (d) 3
  11. 11.If 7x + 2 = 72, what is x? (a) 11 (b) 70 (c) 9 (d) 10
  12. 12.If 7x + 23 = 37, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  13. 13.If x/5 + 6 = 8, what is x? (a) 10 (b) 34 (c) 70 (d) 2
  14. 14.If 8x − 5 = 11, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  15. 15.If x/6 + 3 = 10, what is x? (a) 42 (b) 57 (c) 78 (d) 7
  16. 16.If 2x + 27 = 47, what is x? (a) 37 (b) 10 (c) 20 (d) 11
  17. 17.If 8x + 1 = 89, what is x? (a) 10 (b) 12 (c) 88 (d) 11
  18. 18.If 5x + 17 = 4x + 21, what is x? (a) 38 (b) 5 (c) 4 (d) 6
  19. 19.If 4x + 9 = x + 36, what is x? (a) 10 (b) 9 (c) 11 (d) 15
  20. 20.If x/2 + 15 = 17, what is x? (a) 19 (b) 4 (c) 2 (d) 64
  21. 21.If x/6 + 11 = 20, what is x? (a) 9 (b) 109 (c) 186 (d) 54
  22. 22.If 6x + 24 = 114, what is x? (a) 90 (b) 15 (c) 23 (d) 16
  23. 23.If x/4 + 15 = 17, what is x? (a) 8 (b) 2 (c) 53 (d) 128
  24. 24.If x/6 + 6 = 13, what is x? (a) 114 (b) 42 (c) 7 (d) 72
  25. 25.If 7x + 17 = x + 23, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  26. 26.If 4x + 3 = 43, what is x? (a) 11 (b) 40 (c) 10 (d) 9
  27. 27.If 7x + 10 = 108, what is x? (a) 14 (b) 15 (c) 13 (d) 98
  28. 28.If x/5 + 8 = 18, what is x? (a) 130 (b) 82 (c) 10 (d) 50
  29. 29.If 5x + 10 = 40, what is x? (a) 7 (b) 30 (c) 6 (d) 10
  30. 30.If x/6 + 10 = 19, what is x? (a) 54 (b) 104 (c) 9 (d) 174
  31. 31.If x/5 + 5 = 16, what is x? (a) 105 (b) 75 (c) 11 (d) 55
  32. 32.If 3x + 14 = x + 38, what is x? (a) 13 (b) 12 (c) 6 (d) 26
  33. 33.If 4x + 9 = 37, what is x? (a) 28 (b) 7 (c) 6 (d) 8
  34. 34.If 8x + 3 = 7x + 15, what is x? (a) 12 (b) 13 (c) 18 (d) 14
  35. 35.If 6x − 29 = 13, what is x? (a) 6 (b) 8 (c) 42 (d) 7
  36. 36.If x/3 + 1 = 12, what is x? (a) 33 (b) 35 (c) 11 (d) 39
  37. 37.If 4x − 8 = 32, what is x? (a) 6 (b) 40 (c) 11 (d) 10
  38. 38.If 5x + 3 = 2x + 9, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  39. 39.If 4x − 7 = 29, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  40. 40.If 6x − 78 = 6, what is x? (a) 84 (b) 13 (c) 15 (d) 14

Answer key

  1. 32
  2. 15
  3. 9
  4. 10
  5. 4
  6. 15
  7. 2
  8. 5
  9. 33
  10. 3
  11. 10
  12. 2
  13. 10
  14. 2
  15. 42
  16. 10
  17. 11
  18. 4
  19. 9
  20. 4
  21. 54
  22. 15
  23. 8
  24. 42
  25. 1
  26. 10
  27. 14
  28. 50
  29. 6
  30. 54
  31. 55
  32. 12
  33. 7
  34. 12
  35. 7
  36. 33
  37. 10
  38. 2
  39. 9
  40. 14

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