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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 491 · 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 + 2 = 27, what is x? (a) 5 (b) 4 (c) 6 (d) 25
  2. 2.If x/2 + 10 = 19, what is x? (a) 28 (b) 18 (c) 9 (d) 58
  3. 3.If 5x + 22 = 72, what is x? (a) 9 (b) 10 (c) 50 (d) 11
  4. 4.If 7x − 4 = 17, what is x? (a) 2 (b) 3 (c) 21 (d) 4
  5. 5.If x/6 + 10 = 20, what is x? (a) 60 (b) 10 (c) 180 (d) 110
  6. 6.If x/5 + 5 = 8, what is x? (a) 65 (b) 15 (c) 35 (d) 3
  7. 7.If 8x − 52 = 60, what is x? (a) 14 (b) 112 (c) 15 (d) 1
  8. 8.If x/5 + 15 = 19, what is x? (a) 20 (b) 170 (c) 80 (d) 4
  9. 9.If x/4 + 14 = 17, what is x? (a) 54 (b) 124 (c) 12 (d) 3
  10. 10.If 3x + 20 = x + 32, what is x? (a) 3 (b) 6 (c) 26 (d) 7
  11. 11.If 6x + 6 = x + 21, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  12. 12.If 8x + 1 = 33, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  13. 13.If 8x + 2 = 4x + 42, what is x? (a) 9 (b) 10 (c) 12 (d) 11
  14. 14.If 2x + 29 = 41, what is x? (a) 7 (b) 12 (c) 35 (d) 6
  15. 15.If 3x + 5 = 47, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  16. 16.If 3x + 6 = 39, what is x? (a) 12 (b) 15 (c) 33 (d) 11
  17. 17.If x/4 + 2 = 9, what is x? (a) 7 (b) 44 (c) 28 (d) 34
  18. 18.If 3x − 22 = 14, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  19. 19.If 2x + 13 = 39, what is x? (a) 14 (b) 12 (c) 13 (d) 26
  20. 20.If 6x − 17 = 73, what is x? (a) 90 (b) 16 (c) 15 (d) 14
  21. 21.If 2x + 23 = 33, what is x? (a) 28 (b) 10 (c) 6 (d) 5
  22. 22.If 9x − 42 = 57, what is x? (a) 12 (b) 11 (c) 99 (d) 10
  23. 23.If 4x + 3 = 51, what is x? (a) 11 (b) 12 (c) 13 (d) 48
  24. 24.If 5x + 14 = 2x + 26, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  25. 25.If x/3 + 1 = 7, what is x? (a) 6 (b) 18 (c) 24 (d) 20
  26. 26.If 4x − 2 = 6, what is x? (a) 1 (b) 8 (c) 2 (d) 3
  27. 27.If 5x + 2 = 4x + 12, what is x? (a) 10 (b) 14 (c) 11 (d) 12
  28. 28.If 7x + 16 = 6x + 22, what is x? (a) 7 (b) 6 (c) 8 (d) 38
  29. 29.If 5x + 11 = 36, what is x? (a) 4 (b) 25 (c) 6 (d) 5
  30. 30.If 5x − 6 = 14, what is x? (a) 3 (b) 20 (c) 5 (d) 4
  31. 31.If 2x − 5 = 9, what is x? (a) 2 (b) 14 (c) 8 (d) 7
  32. 32.If 2x − 1 = 3, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  33. 33.If x/6 + 4 = 10, what is x? (a) 56 (b) 84 (c) 6 (d) 36
  34. 34.If 7x + 28 = 70, what is x? (a) 42 (b) 14 (c) 7 (d) 6
  35. 35.If x/4 + 9 = 11, what is x? (a) 2 (b) 80 (c) 8 (d) 35
  36. 36.If 4x + 1 = 3x + 6, what is x? (a) 4 (b) 6 (c) 7 (d) 5
  37. 37.If 9x + 10 = 28, what is x? (a) 18 (b) 1 (c) 2 (d) 3
  38. 38.If 8x + 2 = 18, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  39. 39.If 5x + 25 = 95, what is x? (a) 24 (b) 70 (c) 14 (d) 15
  40. 40.If x/2 + 5 = 11, what is x? (a) 12 (b) 17 (c) 32 (d) 6

Answer key

  1. 5
  2. 18
  3. 10
  4. 3
  5. 60
  6. 15
  7. 14
  8. 20
  9. 12
  10. 6
  11. 3
  12. 4
  13. 10
  14. 6
  15. 14
  16. 11
  17. 28
  18. 12
  19. 13
  20. 15
  21. 5
  22. 11
  23. 12
  24. 4
  25. 18
  26. 2
  27. 10
  28. 6
  29. 5
  30. 4
  31. 7
  32. 2
  33. 36
  34. 6
  35. 8
  36. 5
  37. 2
  38. 2
  39. 14
  40. 12

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