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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 43 · 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 3x + 5 = 35, what is x? (a) 9 (b) 30 (c) 11 (d) 10
  2. 2.If 6x + 10 = 2x + 34, what is x? (a) 3 (b) 11 (c) 6 (d) 7
  3. 3.If 3x + 15 = 2x + 16, what is x? (a) 3 (b) 31 (c) 2 (d) 1
  4. 4.If 3x − 6 = 33, what is x? (a) 9 (b) 14 (c) 39 (d) 13
  5. 5.If 4x + 3 = 3x + 8, what is x? (a) 5 (b) 11 (c) 6 (d) 7
  6. 6.If x/3 + 6 = 9, what is x? (a) 45 (b) 9 (c) 21 (d) 3
  7. 7.If x/5 + 8 = 16, what is x? (a) 120 (b) 8 (c) 72 (d) 40
  8. 8.If 6x + 6 = 18, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  9. 9.If 8x + 1 = 121, what is x? (a) 120 (b) 14 (c) 15 (d) 16
  10. 10.If 2x − 2 = 18, what is x? (a) 8 (b) 20 (c) 10 (d) 11
  11. 11.If 6x + 6 = 5x + 18, what is x? (a) 13 (b) 24 (c) 12 (d) 14
  12. 12.If 2x + 17 = 21, what is x? (a) 2 (b) 19 (c) 3 (d) 4
  13. 13.If 9x + 16 = 7x + 40, what is x? (a) 28 (b) 14 (c) 12 (d) 13
  14. 14.If x/2 + 5 = 8, what is x? (a) 11 (b) 3 (c) 26 (d) 6
  15. 15.If x/6 + 10 = 17, what is x? (a) 92 (b) 162 (c) 7 (d) 42
  16. 16.If 3x + 8 = 44, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  17. 17.If x/5 + 12 = 22, what is x? (a) 50 (b) 170 (c) 10 (d) 98
  18. 18.If 8x + 2 = 2x + 56, what is x? (a) 9 (b) 10 (c) 8 (d) 11
  19. 19.If 2x − 3 = 1, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  20. 20.If 7x + 26 = 89, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  21. 21.If 6x + 29 = 107, what is x? (a) 78 (b) 12 (c) 13 (d) 14
  22. 22.If 9x + 7 = 2x + 28, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  23. 23.If 6x + 13 = 37, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  24. 24.If 7x − 14 = 7, what is x? (a) 4 (b) 2 (c) 3 (d) 21
  25. 25.If x/4 + 15 = 22, what is x? (a) 28 (b) 7 (c) 73 (d) 148
  26. 26.If 8x + 3 = 83, what is x? (a) 11 (b) 9 (c) 80 (d) 10
  27. 27.If 7x + 17 = 115, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  28. 28.If 4x + 19 = 79, what is x? (a) 15 (b) 60 (c) 16 (d) 14
  29. 29.If x/4 + 11 = 14, what is x? (a) 12 (b) 100 (c) 45 (d) 3
  30. 30.If x/5 + 6 = 10, what is x? (a) 44 (b) 80 (c) 20 (d) 4
  31. 31.If 2x + 2 = 18, what is x? (a) 9 (b) 8 (c) 10 (d) 16
  32. 32.If 7x − 44 = 61, what is x? (a) 15 (b) 105 (c) 16 (d) 14
  33. 33.If 8x + 4 = 108, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  34. 34.If 6x + 18 = 84, what is x? (a) 12 (b) 11 (c) 17 (d) 66
  35. 35.If x/2 + 5 = 12, what is x? (a) 34 (b) 7 (c) 14 (d) 19
  36. 36.If 8x − 35 = 13, what is x? (a) 7 (b) 48 (c) 6 (d) 5
  37. 37.If 7x + 4 = 2x + 24, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  38. 38.If 8x − 4 = 20, what is x? (a) 4 (b) 3 (c) 24 (d) 2
  39. 39.If x/5 + 15 = 20, what is x? (a) 85 (b) 175 (c) 25 (d) 5
  40. 40.If 3x + 11 = 35, what is x? (a) 24 (b) 9 (c) 8 (d) 7

Answer key

  1. 10
  2. 6
  3. 1
  4. 13
  5. 5
  6. 9
  7. 40
  8. 2
  9. 15
  10. 10
  11. 12
  12. 2
  13. 12
  14. 6
  15. 42
  16. 12
  17. 50
  18. 9
  19. 2
  20. 9
  21. 13
  22. 3
  23. 4
  24. 3
  25. 28
  26. 10
  27. 14
  28. 15
  29. 12
  30. 20
  31. 8
  32. 15
  33. 13
  34. 11
  35. 14
  36. 6
  37. 4
  38. 3
  39. 25
  40. 8

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