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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 884 · 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 − 3 = 32, what is x? (a) 35 (b) 6 (c) 8 (d) 7
  2. 2.If x/2 + 1 = 7, what is x? (a) 13 (b) 6 (c) 12 (d) 16
  3. 3.If x/3 + 14 = 19, what is x? (a) 43 (b) 5 (c) 99 (d) 15
  4. 4.If 8x + 28 = 100, what is x? (a) 10 (b) 72 (c) 16 (d) 9
  5. 5.If x/2 + 6 = 10, what is x? (a) 14 (b) 32 (c) 4 (d) 8
  6. 6.If 6x + 30 = 72, what is x? (a) 17 (b) 42 (c) 7 (d) 8
  7. 7.If 9x + 1 = 4x + 31, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  8. 8.If 8x − 14 = 50, what is x? (a) 64 (b) 8 (c) 9 (d) 7
  9. 9.If x/2 + 5 = 12, what is x? (a) 19 (b) 14 (c) 34 (d) 7
  10. 10.If 5x − 18 = 47, what is x? (a) 12 (b) 14 (c) 65 (d) 13
  11. 11.If 6x + 5 = 23, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  12. 12.If 8x − 45 = 19, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  13. 13.If 9x + 14 = 131, what is x? (a) 14 (b) 117 (c) 13 (d) 12
  14. 14.If 5x + 17 = x + 41, what is x? (a) 4 (b) 8 (c) 7 (d) 6
  15. 15.If 4x + 16 = 72, what is x? (a) 22 (b) 56 (c) 14 (d) 15
  16. 16.If x/6 + 9 = 16, what is x? (a) 42 (b) 87 (c) 7 (d) 150
  17. 17.If x/4 + 2 = 10, what is x? (a) 8 (b) 48 (c) 38 (d) 32
  18. 18.If 9x − 62 = 1, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  19. 19.If 4x − 16 = 16, what is x? (a) 9 (b) 8 (c) 32 (d) 7
  20. 20.If x/5 + 6 = 17, what is x? (a) 79 (b) 55 (c) 115 (d) 11
  21. 21.If x/6 + 4 = 9, what is x? (a) 78 (b) 5 (c) 30 (d) 50
  22. 22.If 5x + 11 = 31, what is x? (a) 3 (b) 20 (c) 5 (d) 4
  23. 23.If x/4 + 12 = 21, what is x? (a) 36 (b) 9 (c) 72 (d) 132
  24. 24.If 5x + 5 = 2x + 23, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  25. 25.If 4x + 6 = 22, what is x? (a) 7 (b) 16 (c) 5 (d) 4
  26. 26.If x/4 + 9 = 16, what is x? (a) 100 (b) 28 (c) 7 (d) 55
  27. 27.If x/3 + 3 = 15, what is x? (a) 54 (b) 42 (c) 36 (d) 12
  28. 28.If 5x − 17 = 8, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  29. 29.If x/3 + 8 = 17, what is x? (a) 27 (b) 75 (c) 43 (d) 9
  30. 30.If x/5 + 2 = 6, what is x? (a) 4 (b) 40 (c) 28 (d) 20
  31. 31.If 3x + 13 = 2x + 14, what is x? (a) 3 (b) 27 (c) 2 (d) 1
  32. 32.If 6x − 19 = 59, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  33. 33.If x/5 + 3 = 9, what is x? (a) 60 (b) 6 (c) 30 (d) 42
  34. 34.If 8x + 20 = 7x + 22, what is x? (a) 2 (b) 4 (c) 3 (d) 42
  35. 35.If 4x + 2 = x + 14, what is x? (a) 4 (b) 6 (c) 5 (d) 3
  36. 36.If 8x + 5 = 117, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  37. 37.If 6x − 20 = 16, what is x? (a) 5 (b) 36 (c) 6 (d) 7
  38. 38.If 4x + 23 = 83, what is x? (a) 15 (b) 60 (c) 16 (d) 14
  39. 39.If 2x + 29 = 49, what is x? (a) 10 (b) 11 (c) 20 (d) 39
  40. 40.If 6x + 13 = 37, what is x? (a) 4 (b) 5 (c) 3 (d) 24

Answer key

  1. 7
  2. 12
  3. 15
  4. 9
  5. 8
  6. 7
  7. 6
  8. 8
  9. 14
  10. 13
  11. 3
  12. 8
  13. 13
  14. 6
  15. 14
  16. 42
  17. 32
  18. 7
  19. 8
  20. 55
  21. 30
  22. 4
  23. 36
  24. 6
  25. 4
  26. 28
  27. 36
  28. 5
  29. 27
  30. 20
  31. 1
  32. 13
  33. 30
  34. 2
  35. 4
  36. 14
  37. 6
  38. 15
  39. 10
  40. 4

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