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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 494 · 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 x/2 + 8 = 16, what is x? (a) 8 (b) 48 (c) 24 (d) 16
  2. 2.If 6x − 35 = 13, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  3. 3.If 4x − 40 = 16, what is x? (a) 15 (b) 13 (c) 56 (d) 14
  4. 4.If 4x − 3 = 53, what is x? (a) 13 (b) 14 (c) 15 (d) 56
  5. 5.If 9x + 9 = 108, what is x? (a) 12 (b) 11 (c) 99 (d) 13
  6. 6.If 8x − 43 = 5, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  7. 7.If 7x − 58 = 47, what is x? (a) 15 (b) 14 (c) 105 (d) 16
  8. 8.If 9x + 14 = x + 22, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  9. 9.If 3x + 27 = 63, what is x? (a) 13 (b) 12 (c) 30 (d) 36
  10. 10.If 4x + 3 = 23, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  11. 11.If x/4 + 12 = 19, what is x? (a) 124 (b) 28 (c) 7 (d) 64
  12. 12.If 8x − 9 = 111, what is x? (a) 120 (b) 15 (c) 14 (d) 16
  13. 13.If 3x − 10 = 2, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  14. 14.If x/6 + 4 = 8, what is x? (a) 72 (b) 4 (c) 24 (d) 44
  15. 15.If 4x + 5 = 41, what is x? (a) 9 (b) 10 (c) 8 (d) 36
  16. 16.If 7x + 15 = 71, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  17. 17.If x/3 + 8 = 15, what is x? (a) 7 (b) 21 (c) 69 (d) 37
  18. 18.If x/3 + 11 = 15, what is x? (a) 34 (b) 4 (c) 12 (d) 78
  19. 19.If 4x + 30 = 86, what is x? (a) 15 (b) 14 (c) 56 (d) 29
  20. 20.If x/2 + 4 = 7, what is x? (a) 6 (b) 3 (c) 10 (d) 22
  21. 21.If x/4 + 15 = 24, what is x? (a) 81 (b) 36 (c) 156 (d) 9
  22. 22.If 8x + 4 = 60, what is x? (a) 7 (b) 8 (c) 6 (d) 56
  23. 23.If 5x + 24 = 69, what is x? (a) 8 (b) 45 (c) 10 (d) 9
  24. 24.If 8x + 17 = 5x + 35, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  25. 25.If 2x − 1 = 3, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  26. 26.If x/3 + 4 = 7, what is x? (a) 33 (b) 9 (c) 17 (d) 3
  27. 27.If x/4 + 7 = 14, what is x? (a) 28 (b) 49 (c) 84 (d) 7
  28. 28.If 4x + 14 = x + 17, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  29. 29.If x/2 + 7 = 19, what is x? (a) 52 (b) 24 (c) 12 (d) 31
  30. 30.If x/4 + 2 = 12, what is x? (a) 40 (b) 56 (c) 10 (d) 46
  31. 31.If x/2 + 3 = 7, what is x? (a) 20 (b) 4 (c) 11 (d) 8
  32. 32.If 7x + 24 = 45, what is x? (a) 2 (b) 21 (c) 3 (d) 4
  33. 33.If 7x + 6 = x + 66, what is x? (a) 11 (b) 12 (c) 9 (d) 10
  34. 34.If 3x + 2 = x + 24, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  35. 35.If 8x + 22 = 54, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  36. 36.If 2x + 20 = 48, what is x? (a) 34 (b) 14 (c) 15 (d) 28
  37. 37.If 7x + 23 = 51, what is x? (a) 28 (b) 5 (c) 3 (d) 4
  38. 38.If 7x − 11 = 24, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  39. 39.If 3x + 12 = x + 26, what is x? (a) 7 (b) 19 (c) 9 (d) 8
  40. 40.If 9x − 3 = 51, what is x? (a) 5 (b) 6 (c) 54 (d) 7

Answer key

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

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