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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 53 · 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 − 45 = 20, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  2. 2.If 6x − 20 = 16, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  3. 3.If x/4 + 12 = 14, what is x? (a) 44 (b) 8 (c) 104 (d) 2
  4. 4.If 2x + 25 = 43, what is x? (a) 18 (b) 34 (c) 9 (d) 10
  5. 5.If 8x + 15 = 5x + 27, what is x? (a) 14 (b) 5 (c) 6 (d) 4
  6. 6.If 2x + 17 = 43, what is x? (a) 30 (b) 14 (c) 13 (d) 26
  7. 7.If x/3 + 8 = 15, what is x? (a) 37 (b) 69 (c) 7 (d) 21
  8. 8.If 8x + 6 = x + 48, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  9. 9.If 4x − 10 = 6, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  10. 10.If 3x + 15 = 51, what is x? (a) 13 (b) 22 (c) 12 (d) 36
  11. 11.If 5x + 4 = 2x + 28, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  12. 12.If 3x + 28 = 61, what is x? (a) 33 (b) 10 (c) 12 (d) 11
  13. 13.If 7x + 7 = 98, what is x? (a) 13 (b) 15 (c) 14 (d) 91
  14. 14.If 3x − 10 = 5, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  15. 15.If x/5 + 10 = 15, what is x? (a) 65 (b) 25 (c) 125 (d) 5
  16. 16.If 8x + 11 = 5x + 20, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  17. 17.If x/5 + 12 = 20, what is x? (a) 8 (b) 88 (c) 160 (d) 40
  18. 18.If x/5 + 13 = 21, what is x? (a) 92 (b) 8 (c) 40 (d) 170
  19. 19.If 8x + 5 = x + 68, what is x? (a) 7 (b) 10 (c) 11 (d) 9
  20. 20.If 7x + 1 = 71, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  21. 21.If x/4 + 6 = 17, what is x? (a) 44 (b) 11 (c) 62 (d) 92
  22. 22.If 9x − 4 = 131, what is x? (a) 14 (b) 15 (c) 135 (d) 16
  23. 23.If x/3 + 6 = 13, what is x? (a) 7 (b) 33 (c) 21 (d) 57
  24. 24.If 8x − 70 = 18, what is x? (a) 12 (b) 11 (c) 10 (d) 88
  25. 25.If 7x + 1 = 3x + 33, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  26. 26.If 8x + 18 = 5x + 30, what is x? (a) 4 (b) 6 (c) 5 (d) 16
  27. 27.If 5x − 14 = 46, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  28. 28.If 8x + 24 = 56, what is x? (a) 32 (b) 4 (c) 10 (d) 5
  29. 29.If 2x + 10 = 14, what is x? (a) 4 (b) 12 (c) 3 (d) 2
  30. 30.If x/5 + 1 = 9, what is x? (a) 8 (b) 50 (c) 44 (d) 40
  31. 31.If 2x + 10 = 36, what is x? (a) 14 (b) 23 (c) 13 (d) 26
  32. 32.If 5x + 21 = 91, what is x? (a) 15 (b) 13 (c) 70 (d) 14
  33. 33.If 5x − 45 = 15, what is x? (a) 11 (b) 60 (c) 13 (d) 12
  34. 34.If 2x + 28 = 54, what is x? (a) 26 (b) 13 (c) 41 (d) 14
  35. 35.If 6x + 13 = x + 18, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  36. 36.If 6x + 8 = 50, what is x? (a) 42 (b) 7 (c) 8 (d) 6
  37. 37.If 8x + 9 = x + 23, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  38. 38.If 2x − 14 = 10, what is x? (a) 11 (b) 24 (c) 13 (d) 12
  39. 39.If 9x + 10 = 55, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  40. 40.If 3x + 19 = 2x + 26, what is x? (a) 9 (b) 8 (c) 45 (d) 7

Answer key

  1. 13
  2. 6
  3. 8
  4. 9
  5. 4
  6. 13
  7. 21
  8. 6
  9. 4
  10. 12
  11. 8
  12. 11
  13. 13
  14. 5
  15. 25
  16. 3
  17. 40
  18. 40
  19. 9
  20. 10
  21. 44
  22. 15
  23. 21
  24. 11
  25. 8
  26. 4
  27. 12
  28. 4
  29. 2
  30. 40
  31. 13
  32. 14
  33. 12
  34. 13
  35. 1
  36. 7
  37. 2
  38. 12
  39. 5
  40. 7

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