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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 450 · 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 9x − 112 = 23, what is x? (a) 15 (b) 14 (c) 135 (d) 16
  2. 2.If 7x − 53 = 38, what is x? (a) 13 (b) 12 (c) 14 (d) 91
  3. 3.If 9x + 20 = 5x + 56, what is x? (a) 19 (b) 10 (c) 11 (d) 9
  4. 4.If x/4 + 14 = 23, what is x? (a) 78 (b) 36 (c) 9 (d) 148
  5. 5.If 4x + 12 = 32, what is x? (a) 5 (b) 6 (c) 11 (d) 20
  6. 6.If x/6 + 12 = 14, what is x? (a) 72 (b) 12 (c) 156 (d) 2
  7. 7.If 3x − 10 = 29, what is x? (a) 14 (b) 39 (c) 12 (d) 13
  8. 8.If 3x − 4 = 14, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  9. 9.If 3x − 6 = 9, what is x? (a) 5 (b) 6 (c) 15 (d) 1
  10. 10.If x/4 + 11 = 19, what is x? (a) 8 (b) 32 (c) 120 (d) 65
  11. 11.If 7x + 4 = 88, what is x? (a) 13 (b) 84 (c) 12 (d) 11
  12. 12.If x/4 + 4 = 6, what is x? (a) 20 (b) 2 (c) 8 (d) 40
  13. 13.If x/3 + 10 = 16, what is x? (a) 6 (b) 18 (c) 38 (d) 78
  14. 14.If 9x + 3 = 138, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  15. 15.If 6x + 18 = 72, what is x? (a) 54 (b) 15 (c) 9 (d) 10
  16. 16.If 5x − 4 = 6, what is x? (a) 1 (b) 2 (c) 10 (d) 3
  17. 17.If 3x + 20 = 62, what is x? (a) 42 (b) 13 (c) 14 (d) 15
  18. 18.If 6x + 20 = 5x + 32, what is x? (a) 14 (b) 12 (c) 52 (d) 13
  19. 19.If 7x + 2 = 51, what is x? (a) 8 (b) 49 (c) 7 (d) 6
  20. 20.If 4x + 20 = 28, what is x? (a) 12 (b) 8 (c) 3 (d) 2
  21. 21.If x/4 + 6 = 15, what is x? (a) 9 (b) 54 (c) 84 (d) 36
  22. 22.If 2x + 15 = 33, what is x? (a) 18 (b) 9 (c) 10 (d) 24
  23. 23.If 3x + 5 = 2x + 7, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  24. 24.If 3x + 13 = 43, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  25. 25.If 4x + 25 = 49, what is x? (a) 6 (b) 24 (c) 7 (d) 5
  26. 26.If 3x − 17 = 4, what is x? (a) 8 (b) 7 (c) 21 (d) 6
  27. 27.If 4x − 2 = 18, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  28. 28.If 4x − 6 = 6, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  29. 29.If 4x + 4 = 48, what is x? (a) 13 (b) 44 (c) 12 (d) 11
  30. 30.If 3x + 8 = 23, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  31. 31.If 3x − 17 = 7, what is x? (a) 24 (b) 7 (c) 8 (d) 9
  32. 32.If 7x + 9 = 5x + 25, what is x? (a) 10 (b) 17 (c) 9 (d) 8
  33. 33.If 5x − 5 = 15, what is x? (a) 2 (b) 5 (c) 20 (d) 4
  34. 34.If 3x + 19 = 2x + 28, what is x? (a) 10 (b) 11 (c) 47 (d) 9
  35. 35.If 7x + 12 = 40, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  36. 36.If 2x + 12 = 32, what is x? (a) 20 (b) 11 (c) 10 (d) 22
  37. 37.If 8x + 12 = 7x + 16, what is x? (a) 5 (b) 28 (c) 4 (d) 6
  38. 38.If 7x + 16 = 3x + 60, what is x? (a) 19 (b) 12 (c) 13 (d) 11
  39. 39.If x/4 + 5 = 17, what is x? (a) 63 (b) 88 (c) 12 (d) 48
  40. 40.If 4x + 8 = 68, what is x? (a) 60 (b) 15 (c) 19 (d) 16

Answer key

  1. 15
  2. 13
  3. 9
  4. 36
  5. 5
  6. 12
  7. 13
  8. 6
  9. 5
  10. 32
  11. 12
  12. 8
  13. 18
  14. 15
  15. 9
  16. 2
  17. 14
  18. 12
  19. 7
  20. 2
  21. 36
  22. 9
  23. 2
  24. 10
  25. 6
  26. 7
  27. 5
  28. 3
  29. 11
  30. 5
  31. 8
  32. 8
  33. 4
  34. 9
  35. 4
  36. 10
  37. 4
  38. 11
  39. 48
  40. 15

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