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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 960 · 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 4x + 18 = 3x + 19, what is x? (a) 1 (b) 37 (c) 3 (d) 2
  2. 2.If x/2 + 10 = 18, what is x? (a) 8 (b) 56 (c) 16 (d) 26
  3. 3.If 3x + 4 = 19, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  4. 4.If 2x − 4 = 2, what is x? (a) 6 (b) 2 (c) 4 (d) 3
  5. 5.If x/2 + 5 = 11, what is x? (a) 32 (b) 17 (c) 12 (d) 6
  6. 6.If x/3 + 7 = 11, what is x? (a) 54 (b) 26 (c) 4 (d) 12
  7. 7.If 4x + 18 = 2x + 20, what is x? (a) 3 (b) 1 (c) 2 (d) 19
  8. 8.If 8x + 17 = 137, what is x? (a) 16 (b) 120 (c) 15 (d) 14
  9. 9.If x/4 + 1 = 8, what is x? (a) 31 (b) 28 (c) 7 (d) 36
  10. 10.If 3x + 1 = 46, what is x? (a) 15 (b) 14 (c) 45 (d) 16
  11. 11.If x/5 + 15 = 17, what is x? (a) 70 (b) 160 (c) 2 (d) 10
  12. 12.If 6x + 24 = 48, what is x? (a) 24 (b) 4 (c) 5 (d) 12
  13. 13.If 9x + 15 = 4x + 35, what is x? (a) 6 (b) 4 (c) 5 (d) 10
  14. 14.If 9x + 5 = 7x + 27, what is x? (a) 12 (b) 13 (c) 11 (d) 16
  15. 15.If 7x − 10 = 32, what is x? (a) 6 (b) 5 (c) 7 (d) 42
  16. 16.If x/4 + 6 = 18, what is x? (a) 12 (b) 96 (c) 66 (d) 48
  17. 17.If 3x − 3 = 15, what is x? (a) 18 (b) 4 (c) 6 (d) 7
  18. 18.If 2x − 3 = 1, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  19. 19.If 6x + 20 = 5x + 32, what is x? (a) 14 (b) 12 (c) 13 (d) 52
  20. 20.If x/4 + 6 = 11, what is x? (a) 68 (b) 20 (c) 5 (d) 38
  21. 21.If 6x − 7 = 35, what is x? (a) 6 (b) 8 (c) 7 (d) 42
  22. 22.If 3x + 1 = x + 9, what is x? (a) 6 (b) 4 (c) 5 (d) 2
  23. 23.If 8x + 10 = x + 80, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  24. 24.If x/3 + 3 = 6, what is x? (a) 3 (b) 15 (c) 27 (d) 9
  25. 25.If 3x + 1 = 2x + 7, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  26. 26.If 9x + 22 = 40, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  27. 27.If 4x + 7 = x + 19, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  28. 28.If 2x − 3 = 9, what is x? (a) 7 (b) 12 (c) 3 (d) 6
  29. 29.If 7x − 13 = 43, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  30. 30.If 8x + 12 = 44, what is x? (a) 4 (b) 7 (c) 5 (d) 32
  31. 31.If x/6 + 12 = 17, what is x? (a) 5 (b) 30 (c) 90 (d) 174
  32. 32.If x/6 + 14 = 26, what is x? (a) 12 (b) 142 (c) 72 (d) 240
  33. 33.If x/5 + 12 = 23, what is x? (a) 11 (b) 175 (c) 55 (d) 103
  34. 34.If x/5 + 1 = 5, what is x? (a) 30 (b) 24 (c) 4 (d) 20
  35. 35.If 2x − 18 = 2, what is x? (a) 10 (b) 11 (c) 20 (d) 9
  36. 36.If 9x + 4 = 7x + 28, what is x? (a) 14 (b) 12 (c) 13 (d) 16
  37. 37.If x/4 + 12 = 17, what is x? (a) 5 (b) 56 (c) 116 (d) 20
  38. 38.If 8x + 22 = 126, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  39. 39.If x/2 + 1 = 12, what is x? (a) 11 (b) 23 (c) 26 (d) 22
  40. 40.If 6x + 4 = 2x + 48, what is x? (a) 12 (b) 13 (c) 11 (d) 10

Answer key

  1. 1
  2. 16
  3. 5
  4. 3
  5. 12
  6. 12
  7. 1
  8. 15
  9. 28
  10. 15
  11. 10
  12. 4
  13. 4
  14. 11
  15. 6
  16. 48
  17. 6
  18. 2
  19. 12
  20. 20
  21. 7
  22. 4
  23. 10
  24. 9
  25. 6
  26. 2
  27. 4
  28. 6
  29. 8
  30. 4
  31. 30
  32. 72
  33. 55
  34. 20
  35. 10
  36. 12
  37. 20
  38. 13
  39. 22
  40. 11

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