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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 601 · 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 + 5 = 3x + 9, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  2. 2.If 8x − 6 = 26, what is x? (a) 5 (b) 4 (c) 32 (d) 3
  3. 3.If 6x + 28 = 118, what is x? (a) 14 (b) 90 (c) 16 (d) 15
  4. 4.If 2x + 16 = 30, what is x? (a) 14 (b) 8 (c) 23 (d) 7
  5. 5.If x/2 + 8 = 12, what is x? (a) 4 (b) 40 (c) 16 (d) 8
  6. 6.If 7x − 23 = 54, what is x? (a) 12 (b) 77 (c) 10 (d) 11
  7. 7.If 6x − 22 = 50, what is x? (a) 11 (b) 13 (c) 72 (d) 12
  8. 8.If 6x + 25 = 79, what is x? (a) 10 (b) 9 (c) 8 (d) 54
  9. 9.If 7x + 18 = 32, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  10. 10.If 9x + 26 = 143, what is x? (a) 13 (b) 12 (c) 117 (d) 14
  11. 11.If 4x − 1 = 27, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  12. 12.If 5x − 44 = 11, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  13. 13.If x/3 + 7 = 14, what is x? (a) 63 (b) 35 (c) 7 (d) 21
  14. 14.If 5x + 8 = x + 48, what is x? (a) 14 (b) 10 (c) 12 (d) 11
  15. 15.If x/5 + 15 = 22, what is x? (a) 35 (b) 185 (c) 95 (d) 7
  16. 16.If 5x + 17 = 2x + 26, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  17. 17.If 3x + 10 = 2x + 11, what is x? (a) 1 (b) 3 (c) 21 (d) 2
  18. 18.If 9x + 6 = 3x + 12, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  19. 19.If x/3 + 15 = 19, what is x? (a) 12 (b) 102 (c) 4 (d) 42
  20. 20.If 8x + 4 = 6x + 16, what is x? (a) 10 (b) 8 (c) 6 (d) 7
  21. 21.If x/2 + 3 = 5, what is x? (a) 16 (b) 7 (c) 2 (d) 4
  22. 22.If x/6 + 14 = 16, what is x? (a) 180 (b) 2 (c) 12 (d) 82
  23. 23.If 7x − 51 = 40, what is x? (a) 12 (b) 13 (c) 14 (d) 91
  24. 24.If x/2 + 1 = 9, what is x? (a) 17 (b) 8 (c) 20 (d) 16
  25. 25.If 5x + 24 = 89, what is x? (a) 12 (b) 13 (c) 65 (d) 14
  26. 26.If 3x + 10 = 2x + 22, what is x? (a) 32 (b) 13 (c) 12 (d) 14
  27. 27.If x/2 + 5 = 14, what is x? (a) 18 (b) 38 (c) 23 (d) 9
  28. 28.If 9x + 11 = 6x + 47, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  29. 29.If 8x + 24 = 144, what is x? (a) 120 (b) 15 (c) 21 (d) 16
  30. 30.If 9x − 22 = 95, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  31. 31.If 5x + 8 = 3x + 28, what is x? (a) 18 (b) 10 (c) 11 (d) 12
  32. 32.If 7x + 3 = 2x + 18, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  33. 33.If 6x + 7 = x + 37, what is x? (a) 8 (b) 6 (c) 7 (d) 5
  34. 34.If 3x − 8 = 10, what is x? (a) 7 (b) 5 (c) 6 (d) 18
  35. 35.If 7x + 10 = 4x + 31, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  36. 36.If 7x + 14 = x + 80, what is x? (a) 11 (b) 13 (c) 10 (d) 12
  37. 37.If 5x + 8 = 48, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  38. 38.If 6x + 19 = x + 39, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  39. 39.If x/5 + 11 = 22, what is x? (a) 165 (b) 55 (c) 11 (d) 99
  40. 40.If 7x + 8 = 43, what is x? (a) 35 (b) 4 (c) 5 (d) 6

Answer key

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

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