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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 655 · 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 3x + 12 = 18, what is x? (a) 3 (b) 2 (c) 10 (d) 6
  2. 2.If 5x + 21 = 61, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  3. 3.If 9x + 24 = 132, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  4. 4.If 3x − 18 = 6, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  5. 5.If x/3 + 7 = 14, what is x? (a) 7 (b) 35 (c) 63 (d) 21
  6. 6.If 7x + 16 = x + 40, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  7. 7.If 6x + 16 = 4x + 22, what is x? (a) 3 (b) 4 (c) 5 (d) 19
  8. 8.If 4x − 15 = 1, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  9. 9.If 7x + 13 = 76, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  10. 10.If 9x + 1 = 4x + 26, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  11. 11.If 4x + 27 = 47, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  12. 12.If 8x + 30 = 70, what is x? (a) 5 (b) 6 (c) 40 (d) 4
  13. 13.If 8x − 92 = 4, what is x? (a) 13 (b) 12 (c) 96 (d) 11
  14. 14.If 6x + 13 = 61, what is x? (a) 7 (b) 8 (c) 48 (d) 9
  15. 15.If x/3 + 6 = 10, what is x? (a) 48 (b) 12 (c) 24 (d) 4
  16. 16.If 9x + 21 = 111, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  17. 17.If 7x + 17 = 122, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  18. 18.If x/2 + 7 = 10, what is x? (a) 6 (b) 34 (c) 3 (d) 13
  19. 19.If 4x + 3 = x + 6, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  20. 20.If x/3 + 5 = 7, what is x? (a) 6 (b) 16 (c) 2 (d) 36
  21. 21.If 8x + 25 = 121, what is x? (a) 13 (b) 96 (c) 11 (d) 12
  22. 22.If 6x − 44 = 22, what is x? (a) 66 (b) 11 (c) 10 (d) 12
  23. 23.If 8x + 4 = 5x + 25, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  24. 24.If 8x + 10 = 2x + 16, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  25. 25.If x/4 + 2 = 12, what is x? (a) 56 (b) 46 (c) 40 (d) 10
  26. 26.If 8x − 3 = 109, what is x? (a) 112 (b) 15 (c) 14 (d) 13
  27. 27.If 3x + 7 = 40, what is x? (a) 10 (b) 11 (c) 12 (d) 33
  28. 28.If 5x + 4 = x + 12, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  29. 29.If 2x + 19 = 39, what is x? (a) 29 (b) 11 (c) 20 (d) 10
  30. 30.If x/3 + 10 = 15, what is x? (a) 35 (b) 15 (c) 75 (d) 5
  31. 31.If 3x + 7 = 28, what is x? (a) 6 (b) 7 (c) 8 (d) 21
  32. 32.If 5x + 16 = 4x + 28, what is x? (a) 13 (b) 14 (c) 12 (d) 44
  33. 33.If 7x + 5 = 26, what is x? (a) 2 (b) 21 (c) 3 (d) 4
  34. 34.If 5x + 8 = 68, what is x? (a) 60 (b) 13 (c) 12 (d) 11
  35. 35.If x/3 + 4 = 9, what is x? (a) 5 (b) 15 (c) 39 (d) 23
  36. 36.If 3x − 9 = 21, what is x? (a) 4 (b) 30 (c) 11 (d) 10
  37. 37.If 9x + 14 = 6x + 17, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  38. 38.If 8x + 8 = 7x + 17, what is x? (a) 10 (b) 11 (c) 25 (d) 9
  39. 39.If x/2 + 5 = 14, what is x? (a) 23 (b) 18 (c) 9 (d) 38
  40. 40.If 7x + 17 = 3x + 61, what is x? (a) 12 (b) 13 (c) 11 (d) 10

Answer key

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

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