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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 630 · 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 5x + 18 = 3x + 38, what is x? (a) 12 (b) 11 (c) 28 (d) 10
  2. 2.If 5x − 18 = 47, what is x? (a) 65 (b) 14 (c) 13 (d) 12
  3. 3.If x/2 + 2 = 9, what is x? (a) 22 (b) 14 (c) 7 (d) 16
  4. 4.If 3x − 8 = 16, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  5. 5.If 3x − 1 = 5, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  6. 6.If x/4 + 10 = 19, what is x? (a) 66 (b) 116 (c) 9 (d) 36
  7. 7.If 4x + 4 = 48, what is x? (a) 11 (b) 44 (c) 12 (d) 13
  8. 8.If 4x − 6 = 50, what is x? (a) 15 (b) 11 (c) 56 (d) 14
  9. 9.If x/3 + 6 = 17, what is x? (a) 69 (b) 11 (c) 33 (d) 45
  10. 10.If 6x + 5 = 4x + 15, what is x? (a) 10 (b) 6 (c) 1 (d) 5
  11. 11.If x/6 + 2 = 8, what is x? (a) 60 (b) 46 (c) 36 (d) 6
  12. 12.If 4x + 16 = 3x + 23, what is x? (a) 7 (b) 1 (c) 8 (d) 39
  13. 13.If 2x − 15 = 13, what is x? (a) 13 (b) 15 (c) 14 (d) 28
  14. 14.If x/3 + 13 = 22, what is x? (a) 9 (b) 53 (c) 105 (d) 27
  15. 15.If 5x + 11 = 2x + 44, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  16. 16.If 5x − 13 = 2, what is x? (a) 4 (b) 3 (c) 2 (d) 15
  17. 17.If x/5 + 4 = 6, what is x? (a) 10 (b) 50 (c) 2 (d) 26
  18. 18.If 7x + 15 = 2x + 45, what is x? (a) 7 (b) 6 (c) 8 (d) 12
  19. 19.If 3x + 10 = 2x + 17, what is x? (a) 27 (b) 8 (c) 9 (d) 7
  20. 20.If x/2 + 3 = 15, what is x? (a) 27 (b) 24 (c) 12 (d) 36
  21. 21.If 2x − 16 = 10, what is x? (a) 14 (b) 12 (c) 26 (d) 13
  22. 22.If 3x + 3 = x + 19, what is x? (a) 11 (b) 4 (c) 8 (d) 9
  23. 23.If x/4 + 7 = 11, what is x? (a) 72 (b) 4 (c) 16 (d) 37
  24. 24.If x/5 + 3 = 6, what is x? (a) 27 (b) 15 (c) 3 (d) 45
  25. 25.If 7x + 2 = 23, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  26. 26.If 4x + 4 = 2x + 14, what is x? (a) 9 (b) 5 (c) 7 (d) 6
  27. 27.If 6x + 11 = 59, what is x? (a) 48 (b) 8 (c) 9 (d) 7
  28. 28.If 5x + 9 = 2x + 36, what is x? (a) 9 (b) 11 (c) 15 (d) 10
  29. 29.If 9x + 17 = 4x + 47, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  30. 30.If 3x − 4 = 38, what is x? (a) 15 (b) 14 (c) 13 (d) 42
  31. 31.If 7x + 14 = 5x + 16, what is x? (a) 3 (b) 15 (c) 1 (d) 2
  32. 32.If 6x − 34 = 2, what is x? (a) 5 (b) 7 (c) 36 (d) 6
  33. 33.If 4x + 15 = 23, what is x? (a) 2 (b) 3 (c) 1 (d) 8
  34. 34.If 9x + 18 = 8x + 19, what is x? (a) 3 (b) 2 (c) 37 (d) 1
  35. 35.If 4x − 37 = 7, what is x? (a) 44 (b) 12 (c) 10 (d) 11
  36. 36.If 3x + 16 = 2x + 23, what is x? (a) 8 (b) 9 (c) 39 (d) 7
  37. 37.If x/4 + 10 = 12, what is x? (a) 88 (b) 2 (c) 38 (d) 8
  38. 38.If x/4 + 15 = 27, what is x? (a) 168 (b) 93 (c) 48 (d) 12
  39. 39.If 6x + 1 = 55, what is x? (a) 9 (b) 8 (c) 10 (d) 54
  40. 40.If 8x + 17 = 7x + 18, what is x? (a) 1 (b) 35 (c) 3 (d) 2

Answer key

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

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