← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 368 · 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 + 9 = 105, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  2. 2.If 9x + 9 = 45, what is x? (a) 6 (b) 4 (c) 5 (d) 36
  3. 3.If 8x + 6 = 6x + 20, what is x? (a) 8 (b) 13 (c) 1 (d) 7
  4. 4.If 7x − 9 = 26, what is x? (a) 5 (b) 6 (c) 4 (d) 35
  5. 5.If x/2 + 2 = 10, what is x? (a) 8 (b) 16 (c) 18 (d) 24
  6. 6.If 8x + 25 = 113, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  7. 7.If 9x + 12 = 2x + 61, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  8. 8.If 8x + 5 = 93, what is x? (a) 10 (b) 12 (c) 88 (d) 11
  9. 9.If 4x + 6 = 3x + 16, what is x? (a) 22 (b) 10 (c) 11 (d) 12
  10. 10.If 9x + 17 = 89, what is x? (a) 8 (b) 9 (c) 72 (d) 7
  11. 11.If 4x + 12 = x + 24, what is x? (a) 5 (b) 6 (c) 4 (d) 12
  12. 12.If 8x + 20 = 2x + 86, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  13. 13.If 6x + 5 = 2x + 29, what is x? (a) 8 (b) 6 (c) 7 (d) 3
  14. 14.If 7x + 19 = 89, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  15. 15.If 8x + 15 = 4x + 39, what is x? (a) 7 (b) 8 (c) 2 (d) 6
  16. 16.If 6x + 2 = 26, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  17. 17.If 5x + 20 = 4x + 26, what is x? (a) 7 (b) 46 (c) 8 (d) 6
  18. 18.If 4x + 4 = 12, what is x? (a) 3 (b) 2 (c) 4 (d) 8
  19. 19.If 4x + 6 = 3x + 7, what is x? (a) 3 (b) 2 (c) 13 (d) 1
  20. 20.If 4x + 1 = 33, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  21. 21.If x/5 + 2 = 14, what is x? (a) 60 (b) 80 (c) 68 (d) 12
  22. 22.If 3x − 6 = 39, what is x? (a) 45 (b) 15 (c) 16 (d) 11
  23. 23.If 7x + 6 = 3x + 22, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  24. 24.If x/6 + 13 = 17, what is x? (a) 180 (b) 24 (c) 89 (d) 4
  25. 25.If 7x + 2 = 2x + 47, what is x? (a) 10 (b) 5 (c) 11 (d) 9
  26. 26.If x/4 + 8 = 16, what is x? (a) 32 (b) 56 (c) 8 (d) 96
  27. 27.If 2x + 14 = 28, what is x? (a) 21 (b) 14 (c) 8 (d) 7
  28. 28.If 4x − 19 = 41, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  29. 29.If 4x + 13 = 2x + 17, what is x? (a) 4 (b) 3 (c) 15 (d) 2
  30. 30.If 9x + 17 = 98, what is x? (a) 10 (b) 8 (c) 9 (d) 81
  31. 31.If 8x + 8 = 5x + 11, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  32. 32.If 5x − 2 = 8, what is x? (a) 1 (b) 3 (c) 2 (d) 10
  33. 33.If 9x + 11 = 3x + 29, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  34. 34.If 8x + 15 = 63, what is x? (a) 48 (b) 7 (c) 6 (d) 5
  35. 35.If 9x + 8 = 7x + 16, what is x? (a) 6 (b) 12 (c) 5 (d) 4
  36. 36.If 7x + 5 = 3x + 17, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  37. 37.If x/6 + 10 = 14, what is x? (a) 24 (b) 4 (c) 74 (d) 144
  38. 38.If x/5 + 9 = 15, what is x? (a) 6 (b) 120 (c) 30 (d) 66
  39. 39.If 9x + 10 = 2x + 66, what is x? (a) 10 (b) 8 (c) 9 (d) 7
  40. 40.If 7x + 23 = 114, what is x? (a) 12 (b) 13 (c) 14 (d) 91

Answer key

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad