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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 313 · 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 6x + 1 = 2x + 9, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  2. 2.If 4x + 2 = 2x + 24, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  3. 3.If 2x + 4 = 12, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  4. 4.If x/5 + 1 = 8, what is x? (a) 7 (b) 45 (c) 39 (d) 35
  5. 5.If 4x + 27 = 47, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  6. 6.If 6x + 30 = 84, what is x? (a) 9 (b) 10 (c) 54 (d) 19
  7. 7.If x/2 + 14 = 17, what is x? (a) 6 (b) 62 (c) 3 (d) 20
  8. 8.If x/2 + 2 = 10, what is x? (a) 8 (b) 24 (c) 16 (d) 18
  9. 9.If 8x + 4 = 124, what is x? (a) 16 (b) 14 (c) 15 (d) 120
  10. 10.If x/5 + 8 = 13, what is x? (a) 25 (b) 57 (c) 5 (d) 105
  11. 11.If 3x + 5 = 2x + 8, what is x? (a) 13 (b) 5 (c) 3 (d) 4
  12. 12.If x/5 + 13 = 19, what is x? (a) 160 (b) 30 (c) 82 (d) 6
  13. 13.If x/5 + 14 = 25, what is x? (a) 111 (b) 55 (c) 11 (d) 195
  14. 14.If 7x + 8 = 2x + 28, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  15. 15.If 4x + 15 = 71, what is x? (a) 13 (b) 15 (c) 14 (d) 56
  16. 16.If 3x − 7 = 20, what is x? (a) 27 (b) 9 (c) 8 (d) 10
  17. 17.If 5x + 16 = 31, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  18. 18.If 7x + 4 = 74, what is x? (a) 10 (b) 11 (c) 9 (d) 70
  19. 19.If x/2 + 1 = 11, what is x? (a) 24 (b) 21 (c) 20 (d) 10
  20. 20.If 9x + 2 = 47, what is x? (a) 45 (b) 6 (c) 4 (d) 5
  21. 21.If 7x + 11 = 81, what is x? (a) 11 (b) 70 (c) 9 (d) 10
  22. 22.If 9x + 6 = 69, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  23. 23.If 9x − 15 = 12, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  24. 24.If 5x + 18 = 53, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  25. 25.If 2x + 11 = 39, what is x? (a) 28 (b) 25 (c) 15 (d) 14
  26. 26.If 6x + 13 = 43, what is x? (a) 30 (b) 6 (c) 4 (d) 5
  27. 27.If 3x + 7 = 37, what is x? (a) 10 (b) 9 (c) 11 (d) 30
  28. 28.If x/4 + 6 = 12, what is x? (a) 42 (b) 72 (c) 6 (d) 24
  29. 29.If 5x − 7 = 68, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  30. 30.If x/2 + 13 = 15, what is x? (a) 4 (b) 17 (c) 56 (d) 2
  31. 31.If 9x − 48 = 15, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  32. 32.If 7x − 18 = 10, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  33. 33.If 4x + 7 = 39, what is x? (a) 8 (b) 32 (c) 7 (d) 9
  34. 34.If x/5 + 13 = 24, what is x? (a) 107 (b) 185 (c) 55 (d) 11
  35. 35.If 4x − 21 = 35, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  36. 36.If 4x + 3 = 59, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  37. 37.If 5x − 16 = 9, what is x? (a) 6 (b) 4 (c) 25 (d) 5
  38. 38.If 9x − 31 = 95, what is x? (a) 15 (b) 14 (c) 126 (d) 13
  39. 39.If 6x + 6 = x + 11, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  40. 40.If x/4 + 3 = 11, what is x? (a) 41 (b) 56 (c) 8 (d) 32

Answer key

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

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