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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 649 · 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/5 + 12 = 23, what is x? (a) 11 (b) 103 (c) 175 (d) 55
  2. 2.If 8x + 14 = 46, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  3. 3.If 8x − 1 = 39, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  4. 4.If 3x − 7 = 23, what is x? (a) 9 (b) 30 (c) 11 (d) 10
  5. 5.If 4x + 15 = x + 33, what is x? (a) 8 (b) 7 (c) 6 (d) 16
  6. 6.If 4x + 16 = 3x + 23, what is x? (a) 1 (b) 8 (c) 39 (d) 7
  7. 7.If x/3 + 3 = 15, what is x? (a) 12 (b) 42 (c) 36 (d) 54
  8. 8.If 6x + 19 = 97, what is x? (a) 13 (b) 12 (c) 78 (d) 14
  9. 9.If 2x + 20 = 44, what is x? (a) 13 (b) 32 (c) 24 (d) 12
  10. 10.If x/2 + 2 = 6, what is x? (a) 8 (b) 10 (c) 4 (d) 16
  11. 11.If 5x + 9 = 84, what is x? (a) 16 (b) 15 (c) 14 (d) 75
  12. 12.If 4x + 16 = 3x + 18, what is x? (a) 4 (b) 2 (c) 34 (d) 3
  13. 13.If 3x − 5 = 1, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  14. 14.If 8x + 28 = 132, what is x? (a) 104 (b) 14 (c) 13 (d) 20
  15. 15.If 6x + 3 = 45, what is x? (a) 6 (b) 42 (c) 7 (d) 8
  16. 16.If 9x + 10 = 2x + 17, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  17. 17.If x/6 + 10 = 12, what is x? (a) 62 (b) 12 (c) 132 (d) 2
  18. 18.If 3x + 8 = 44, what is x? (a) 11 (b) 13 (c) 36 (d) 12
  19. 19.If 4x + 6 = 2x + 8, what is x? (a) 7 (b) 3 (c) 1 (d) 2
  20. 20.If 4x + 15 = 2x + 35, what is x? (a) 25 (b) 12 (c) 11 (d) 10
  21. 21.If 2x − 21 = 5, what is x? (a) 14 (b) 26 (c) 13 (d) 12
  22. 22.If x/5 + 14 = 24, what is x? (a) 10 (b) 106 (c) 50 (d) 190
  23. 23.If 7x + 3 = 6x + 13, what is x? (a) 16 (b) 12 (c) 11 (d) 10
  24. 24.If 7x + 18 = 109, what is x? (a) 91 (b) 13 (c) 12 (d) 14
  25. 25.If 5x + 10 = 55, what is x? (a) 13 (b) 9 (c) 45 (d) 10
  26. 26.If 9x + 25 = 88, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  27. 27.If 7x + 6 = 4x + 33, what is x? (a) 9 (b) 10 (c) 11 (d) 13
  28. 28.If 4x + 13 = 2x + 21, what is x? (a) 6 (b) 5 (c) 17 (d) 4
  29. 29.If 7x + 25 = 88, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  30. 30.If 4x + 20 = 2x + 26, what is x? (a) 23 (b) 1 (c) 4 (d) 3
  31. 31.If 9x − 33 = 3, what is x? (a) 3 (b) 36 (c) 5 (d) 4
  32. 32.If x/4 + 1 = 4, what is x? (a) 15 (b) 12 (c) 20 (d) 3
  33. 33.If 2x + 28 = 46, what is x? (a) 18 (b) 10 (c) 9 (d) 37
  34. 34.If 8x + 4 = 7x + 15, what is x? (a) 12 (b) 13 (c) 11 (d) 19
  35. 35.If 7x + 25 = 116, what is x? (a) 14 (b) 13 (c) 12 (d) 91
  36. 36.If 6x + 17 = 29, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  37. 37.If 8x + 6 = 7x + 10, what is x? (a) 5 (b) 4 (c) 6 (d) 16
  38. 38.If x/4 + 4 = 13, what is x? (a) 36 (b) 48 (c) 9 (d) 68
  39. 39.If 5x − 3 = 7, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  40. 40.If 3x − 4 = 2, what is x? (a) 6 (b) 3 (c) 2 (d) 1

Answer key

  1. 55
  2. 4
  3. 5
  4. 10
  5. 6
  6. 7
  7. 36
  8. 13
  9. 12
  10. 8
  11. 15
  12. 2
  13. 2
  14. 13
  15. 7
  16. 1
  17. 12
  18. 12
  19. 1
  20. 10
  21. 13
  22. 50
  23. 10
  24. 13
  25. 9
  26. 7
  27. 9
  28. 4
  29. 9
  30. 3
  31. 4
  32. 12
  33. 9
  34. 11
  35. 13
  36. 2
  37. 4
  38. 36
  39. 2
  40. 2

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