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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 998 · 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 8x + 21 = 53, what is x? (a) 3 (b) 4 (c) 5 (d) 32
  2. 2.If 9x − 60 = 21, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  3. 3.If 6x + 12 = 54, what is x? (a) 7 (b) 11 (c) 8 (d) 42
  4. 4.If 7x + 2 = x + 68, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  5. 5.If 5x + 30 = 90, what is x? (a) 24 (b) 60 (c) 13 (d) 12
  6. 6.If 4x − 35 = 13, what is x? (a) 13 (b) 11 (c) 48 (d) 12
  7. 7.If 6x − 13 = 71, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  8. 8.If x/5 + 5 = 9, what is x? (a) 4 (b) 70 (c) 20 (d) 40
  9. 9.If 6x + 8 = 3x + 29, what is x? (a) 7 (b) 8 (c) 9 (d) 6
  10. 10.If 4x + 15 = 51, what is x? (a) 10 (b) 9 (c) 8 (d) 36
  11. 11.If 7x + 7 = 105, what is x? (a) 15 (b) 16 (c) 14 (d) 98
  12. 12.If 4x + 7 = 67, what is x? (a) 15 (b) 60 (c) 14 (d) 16
  13. 13.If 7x − 33 = 58, what is x? (a) 14 (b) 91 (c) 13 (d) 12
  14. 14.If 2x + 17 = 31, what is x? (a) 24 (b) 14 (c) 7 (d) 8
  15. 15.If 4x + 17 = 25, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  16. 16.If 7x − 26 = 9, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  17. 17.If x/2 + 14 = 20, what is x? (a) 26 (b) 6 (c) 12 (d) 68
  18. 18.If 9x + 15 = 3x + 27, what is x? (a) 2 (b) 3 (c) 7 (d) 1
  19. 19.If 6x − 53 = 13, what is x? (a) 11 (b) 10 (c) 66 (d) 12
  20. 20.If 2x − 2 = 6, what is x? (a) 2 (b) 4 (c) 5 (d) 8
  21. 21.If 4x + 5 = 33, what is x? (a) 28 (b) 8 (c) 6 (d) 7
  22. 22.If 4x + 18 = 78, what is x? (a) 24 (b) 16 (c) 60 (d) 15
  23. 23.If 9x − 7 = 38, what is x? (a) 5 (b) 45 (c) 4 (d) 6
  24. 24.If 2x − 16 = 4, what is x? (a) 10 (b) 20 (c) 9 (d) 11
  25. 25.If x/3 + 7 = 15, what is x? (a) 66 (b) 8 (c) 38 (d) 24
  26. 26.If 2x − 7 = 9, what is x? (a) 16 (b) 1 (c) 8 (d) 9
  27. 27.If x/6 + 10 = 17, what is x? (a) 42 (b) 92 (c) 162 (d) 7
  28. 28.If x/4 + 12 = 20, what is x? (a) 128 (b) 68 (c) 8 (d) 32
  29. 29.If 8x + 15 = 79, what is x? (a) 64 (b) 8 (c) 9 (d) 7
  30. 30.If 5x + 3 = 23, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  31. 31.If 8x − 47 = 41, what is x? (a) 88 (b) 11 (c) 10 (d) 12
  32. 32.If 9x − 3 = 33, what is x? (a) 4 (b) 3 (c) 5 (d) 36
  33. 33.If 4x + 18 = x + 48, what is x? (a) 22 (b) 10 (c) 11 (d) 6
  34. 34.If 5x + 12 = x + 56, what is x? (a) 11 (b) 12 (c) 17 (d) 13
  35. 35.If 7x + 25 = 67, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  36. 36.If 6x + 17 = 89, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  37. 37.If x/3 + 4 = 9, what is x? (a) 5 (b) 15 (c) 39 (d) 23
  38. 38.If 3x − 7 = 35, what is x? (a) 15 (b) 14 (c) 13 (d) 42
  39. 39.If 7x + 12 = 5x + 14, what is x? (a) 2 (b) 13 (c) 3 (d) 1
  40. 40.If 7x + 11 = 4x + 44, what is x? (a) 11 (b) 3 (c) 12 (d) 13

Answer key

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

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