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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 439 · 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 7x + 20 = 4x + 53, what is x? (a) 3 (b) 12 (c) 13 (d) 11
  2. 2.If 4x − 18 = 34, what is x? (a) 52 (b) 4 (c) 14 (d) 13
  3. 3.If 6x + 2 = 4x + 14, what is x? (a) 7 (b) 6 (c) 8 (d) 5
  4. 4.If x/6 + 2 = 12, what is x? (a) 10 (b) 84 (c) 60 (d) 70
  5. 5.If 3x + 2 = x + 26, what is x? (a) 6 (b) 13 (c) 14 (d) 12
  6. 6.If x/2 + 8 = 17, what is x? (a) 9 (b) 50 (c) 26 (d) 18
  7. 7.If x/5 + 7 = 9, what is x? (a) 10 (b) 80 (c) 38 (d) 2
  8. 8.If 3x + 8 = 2x + 17, what is x? (a) 11 (b) 9 (c) 10 (d) 25
  9. 9.If 3x + 6 = 2x + 17, what is x? (a) 23 (b) 12 (c) 11 (d) 13
  10. 10.If 4x + 20 = x + 50, what is x? (a) 11 (b) 12 (c) 10 (d) 6
  11. 11.If x/6 + 8 = 17, what is x? (a) 54 (b) 94 (c) 9 (d) 150
  12. 12.If 4x + 14 = 3x + 22, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  13. 13.If 8x + 10 = 7x + 17, what is x? (a) 27 (b) 7 (c) 8 (d) 9
  14. 14.If 6x + 4 = 5x + 13, what is x? (a) 17 (b) 9 (c) 10 (d) 11
  15. 15.If 8x − 18 = 6, what is x? (a) 4 (b) 24 (c) 3 (d) 2
  16. 16.If 3x + 5 = 14, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  17. 17.If 5x + 4 = 4x + 6, what is x? (a) 2 (b) 4 (c) 10 (d) 3
  18. 18.If 8x + 24 = 144, what is x? (a) 16 (b) 120 (c) 15 (d) 21
  19. 19.If x/5 + 1 = 9, what is x? (a) 44 (b) 50 (c) 8 (d) 40
  20. 20.If 5x + 1 = 26, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  21. 21.If 5x + 20 = 90, what is x? (a) 14 (b) 70 (c) 15 (d) 22
  22. 22.If x/4 + 15 = 22, what is x? (a) 28 (b) 7 (c) 73 (d) 148
  23. 23.If x/4 + 9 = 21, what is x? (a) 75 (b) 120 (c) 48 (d) 12
  24. 24.If 5x + 16 = x + 32, what is x? (a) 5 (b) 4 (c) 12 (d) 6
  25. 25.If x/5 + 12 = 14, what is x? (a) 58 (b) 10 (c) 130 (d) 2
  26. 26.If 4x + 1 = 3x + 6, what is x? (a) 4 (b) 5 (c) 6 (d) 7
  27. 27.If 5x + 6 = 2x + 18, what is x? (a) 6 (b) 4 (c) 5 (d) 8
  28. 28.If 7x + 29 = 127, what is x? (a) 15 (b) 98 (c) 13 (d) 14
  29. 29.If 8x + 22 = 54, what is x? (a) 5 (b) 3 (c) 4 (d) 32
  30. 30.If 2x + 28 = 56, what is x? (a) 14 (b) 42 (c) 15 (d) 28
  31. 31.If x/4 + 14 = 25, what is x? (a) 11 (b) 156 (c) 86 (d) 44
  32. 32.If 5x + 14 = x + 62, what is x? (a) 12 (b) 13 (c) 8 (d) 19
  33. 33.If 5x + 22 = 77, what is x? (a) 11 (b) 55 (c) 12 (d) 10
  34. 34.If x/4 + 14 = 21, what is x? (a) 70 (b) 140 (c) 7 (d) 28
  35. 35.If 6x + 14 = 2x + 26, what is x? (a) 4 (b) 3 (c) 10 (d) 5
  36. 36.If 9x + 23 = 104, what is x? (a) 81 (b) 9 (c) 8 (d) 10
  37. 37.If x/5 + 4 = 11, what is x? (a) 7 (b) 51 (c) 75 (d) 35
  38. 38.If 3x + 9 = 18, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  39. 39.If 3x + 1 = x + 5, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  40. 40.If 8x + 20 = x + 97, what is x? (a) 13 (b) 12 (c) 11 (d) 10

Answer key

  1. 11
  2. 13
  3. 6
  4. 60
  5. 12
  6. 18
  7. 10
  8. 9
  9. 11
  10. 10
  11. 54
  12. 8
  13. 7
  14. 9
  15. 3
  16. 3
  17. 2
  18. 15
  19. 40
  20. 5
  21. 14
  22. 28
  23. 48
  24. 4
  25. 10
  26. 5
  27. 4
  28. 14
  29. 4
  30. 14
  31. 44
  32. 12
  33. 11
  34. 28
  35. 3
  36. 9
  37. 35
  38. 3
  39. 2
  40. 11

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