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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 489 · 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 + 9 = 19, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  2. 2.If 2x + 22 = 40, what is x? (a) 31 (b) 9 (c) 18 (d) 10
  3. 3.If x/6 + 2 = 5, what is x? (a) 28 (b) 18 (c) 3 (d) 42
  4. 4.If 7x − 8 = 6, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  5. 5.If x/2 + 13 = 18, what is x? (a) 62 (b) 23 (c) 5 (d) 10
  6. 6.If 9x + 4 = 58, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  7. 7.If 3x + 11 = 2x + 14, what is x? (a) 25 (b) 4 (c) 5 (d) 3
  8. 8.If 7x − 20 = 78, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  9. 9.If 9x + 11 = 74, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  10. 10.If 4x + 18 = 3x + 27, what is x? (a) 45 (b) 11 (c) 10 (d) 9
  11. 11.If 7x − 69 = 15, what is x? (a) 11 (b) 12 (c) 84 (d) 13
  12. 12.If 2x + 10 = 22, what is x? (a) 16 (b) 12 (c) 7 (d) 6
  13. 13.If 4x − 1 = 7, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  14. 14.If 9x + 16 = 7x + 20, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  15. 15.If 3x + 28 = 55, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  16. 16.If 2x + 5 = 11, what is x? (a) 8 (b) 6 (c) 4 (d) 3
  17. 17.If 5x + 20 = 4x + 28, what is x? (a) 10 (b) 48 (c) 9 (d) 8
  18. 18.If 6x + 1 = 31, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  19. 19.If 4x + 12 = 2x + 32, what is x? (a) 22 (b) 10 (c) 12 (d) 11
  20. 20.If 8x + 13 = 2x + 37, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  21. 21.If x/4 + 15 = 23, what is x? (a) 152 (b) 77 (c) 8 (d) 32
  22. 22.If 7x + 7 = x + 73, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  23. 23.If x/4 + 4 = 13, what is x? (a) 9 (b) 68 (c) 48 (d) 36
  24. 24.If x/3 + 5 = 17, what is x? (a) 46 (b) 36 (c) 12 (d) 66
  25. 25.If x/6 + 6 = 8, what is x? (a) 2 (b) 12 (c) 84 (d) 42
  26. 26.If x/6 + 3 = 6, what is x? (a) 3 (b) 54 (c) 33 (d) 18
  27. 27.If x/2 + 2 = 11, what is x? (a) 20 (b) 18 (c) 9 (d) 26
  28. 28.If 7x + 5 = 2x + 15, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  29. 29.If 2x − 5 = 15, what is x? (a) 5 (b) 11 (c) 20 (d) 10
  30. 30.If 5x + 5 = x + 25, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  31. 31.If 3x − 18 = 6, what is x? (a) 7 (b) 8 (c) 9 (d) 24
  32. 32.If 6x − 24 = 6, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  33. 33.If 3x + 1 = 37, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  34. 34.If x/5 + 4 = 12, what is x? (a) 56 (b) 80 (c) 40 (d) 8
  35. 35.If 8x + 2 = 3x + 12, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  36. 36.If 6x + 12 = 84, what is x? (a) 12 (b) 16 (c) 72 (d) 13
  37. 37.If x/2 + 8 = 10, what is x? (a) 2 (b) 4 (c) 12 (d) 36
  38. 38.If 7x + 6 = 5x + 14, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  39. 39.If x/2 + 9 = 13, what is x? (a) 4 (b) 8 (c) 17 (d) 44
  40. 40.If 2x + 27 = 37, what is x? (a) 10 (b) 6 (c) 5 (d) 32

Answer key

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

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