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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 838 · 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 2x + 9 = 29, what is x? (a) 19 (b) 10 (c) 11 (d) 20
  2. 2.If 8x + 1 = 3x + 11, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  3. 3.If 8x + 13 = 37, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  4. 4.If 3x + 5 = 2x + 7, what is x? (a) 3 (b) 12 (c) 4 (d) 2
  5. 5.If 7x + 1 = 3x + 21, what is x? (a) 6 (b) 2 (c) 5 (d) 7
  6. 6.If 2x + 9 = 13, what is x? (a) 3 (b) 11 (c) 2 (d) 4
  7. 7.If x/5 + 15 = 27, what is x? (a) 210 (b) 60 (c) 120 (d) 12
  8. 8.If 4x + 8 = 68, what is x? (a) 19 (b) 16 (c) 15 (d) 60
  9. 9.If 7x − 25 = 31, what is x? (a) 7 (b) 8 (c) 56 (d) 9
  10. 10.If 9x + 17 = 6x + 47, what is x? (a) 12 (b) 10 (c) 11 (d) 2
  11. 11.If 2x + 27 = 31, what is x? (a) 4 (b) 3 (c) 29 (d) 2
  12. 12.If x/2 + 5 = 15, what is x? (a) 40 (b) 20 (c) 10 (d) 25
  13. 13.If 6x + 5 = 53, what is x? (a) 8 (b) 7 (c) 48 (d) 9
  14. 14.If 3x + 21 = 66, what is x? (a) 29 (b) 16 (c) 45 (d) 15
  15. 15.If x/6 + 15 = 24, what is x? (a) 9 (b) 234 (c) 129 (d) 54
  16. 16.If 6x + 11 = x + 46, what is x? (a) 5 (b) 9 (c) 8 (d) 7
  17. 17.If 8x + 9 = 113, what is x? (a) 12 (b) 104 (c) 13 (d) 14
  18. 18.If 2x − 3 = 7, what is x? (a) 2 (b) 5 (c) 10 (d) 6
  19. 19.If 9x + 19 = 8x + 30, what is x? (a) 12 (b) 11 (c) 49 (d) 13
  20. 20.If 9x + 5 = 6x + 41, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  21. 21.If x/5 + 7 = 12, what is x? (a) 95 (b) 5 (c) 53 (d) 25
  22. 22.If x/4 + 5 = 13, what is x? (a) 32 (b) 47 (c) 8 (d) 72
  23. 23.If 7x + 11 = 2x + 31, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  24. 24.If 2x + 6 = 12, what is x? (a) 4 (b) 6 (c) 3 (d) 9
  25. 25.If 2x − 8 = 16, what is x? (a) 4 (b) 13 (c) 12 (d) 24
  26. 26.If 2x + 10 = 28, what is x? (a) 18 (b) 19 (c) 9 (d) 10
  27. 27.If x/4 + 14 = 26, what is x? (a) 90 (b) 160 (c) 48 (d) 12
  28. 28.If 9x + 13 = 67, what is x? (a) 6 (b) 7 (c) 5 (d) 54
  29. 29.If 8x + 18 = 6x + 36, what is x? (a) 9 (b) 11 (c) 10 (d) 27
  30. 30.If x/6 + 10 = 21, what is x? (a) 66 (b) 116 (c) 11 (d) 186
  31. 31.If x/3 + 14 = 17, what is x? (a) 37 (b) 93 (c) 3 (d) 9
  32. 32.If 5x + 4 = 4x + 6, what is x? (a) 4 (b) 3 (c) 2 (d) 10
  33. 33.If 7x + 15 = 4x + 21, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  34. 34.If x/6 + 9 = 20, what is x? (a) 66 (b) 174 (c) 111 (d) 11
  35. 35.If 3x + 18 = 2x + 25, what is x? (a) 9 (b) 43 (c) 8 (d) 7
  36. 36.If 5x + 10 = x + 14, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  37. 37.If x/4 + 11 = 23, what is x? (a) 12 (b) 48 (c) 81 (d) 136
  38. 38.If 3x + 28 = 55, what is x? (a) 8 (b) 27 (c) 10 (d) 9
  39. 39.If 7x − 12 = 51, what is x? (a) 10 (b) 63 (c) 8 (d) 9
  40. 40.If 3x + 19 = 2x + 25, what is x? (a) 6 (b) 7 (c) 8 (d) 44

Answer key

  1. 10
  2. 2
  3. 3
  4. 2
  5. 5
  6. 2
  7. 60
  8. 15
  9. 8
  10. 10
  11. 2
  12. 20
  13. 8
  14. 15
  15. 54
  16. 7
  17. 13
  18. 5
  19. 11
  20. 12
  21. 25
  22. 32
  23. 4
  24. 3
  25. 12
  26. 9
  27. 48
  28. 6
  29. 9
  30. 66
  31. 9
  32. 2
  33. 2
  34. 66
  35. 7
  36. 1
  37. 48
  38. 9
  39. 9
  40. 6

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