← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 152 · 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 − 2 = 10, what is x? (a) 12 (b) 3 (c) 5 (d) 4
  2. 2.If x/6 + 6 = 9, what is x? (a) 18 (b) 48 (c) 3 (d) 90
  3. 3.If x/3 + 5 = 12, what is x? (a) 51 (b) 21 (c) 7 (d) 31
  4. 4.If 2x + 16 = 26, what is x? (a) 21 (b) 6 (c) 10 (d) 5
  5. 5.If 4x − 17 = 39, what is x? (a) 15 (b) 56 (c) 14 (d) 13
  6. 6.If 8x + 22 = 78, what is x? (a) 6 (b) 7 (c) 56 (d) 8
  7. 7.If 9x + 10 = 82, what is x? (a) 8 (b) 7 (c) 9 (d) 72
  8. 8.If 5x − 23 = 2, what is x? (a) 25 (b) 4 (c) 6 (d) 5
  9. 9.If x/3 + 10 = 20, what is x? (a) 10 (b) 90 (c) 30 (d) 50
  10. 10.If 3x − 31 = 5, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  11. 11.If 4x + 18 = 66, what is x? (a) 48 (b) 13 (c) 12 (d) 21
  12. 12.If 6x + 10 = x + 50, what is x? (a) 9 (b) 10 (c) 12 (d) 8
  13. 13.If 2x − 3 = 7, what is x? (a) 6 (b) 5 (c) 10 (d) 2
  14. 14.If x/2 + 11 = 21, what is x? (a) 64 (b) 10 (c) 31 (d) 20
  15. 15.If 3x + 28 = 34, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  16. 16.If 8x + 21 = 133, what is x? (a) 112 (b) 14 (c) 13 (d) 15
  17. 17.If 9x + 4 = 2x + 39, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  18. 18.If 6x − 20 = 64, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  19. 19.If 8x + 15 = 87, what is x? (a) 9 (b) 10 (c) 8 (d) 72
  20. 20.If 8x + 6 = 38, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  21. 21.If 6x + 6 = 48, what is x? (a) 42 (b) 8 (c) 7 (d) 9
  22. 22.If x/3 + 6 = 16, what is x? (a) 30 (b) 66 (c) 10 (d) 42
  23. 23.If 9x + 20 = 3x + 38, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  24. 24.If x/5 + 13 = 21, what is x? (a) 170 (b) 92 (c) 8 (d) 40
  25. 25.If 3x + 19 = 28, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  26. 26.If 7x + 17 = 4x + 32, what is x? (a) 5 (b) 4 (c) 7 (d) 6
  27. 27.If 8x − 16 = 32, what is x? (a) 2 (b) 48 (c) 7 (d) 6
  28. 28.If x/3 + 3 = 15, what is x? (a) 12 (b) 42 (c) 36 (d) 54
  29. 29.If x/2 + 11 = 17, what is x? (a) 23 (b) 12 (c) 6 (d) 56
  30. 30.If x/3 + 15 = 27, what is x? (a) 126 (b) 36 (c) 66 (d) 12
  31. 31.If x/3 + 1 = 12, what is x? (a) 35 (b) 39 (c) 33 (d) 11
  32. 32.If 4x + 16 = 2x + 18, what is x? (a) 2 (b) 17 (c) 1 (d) 3
  33. 33.If x/3 + 8 = 12, what is x? (a) 12 (b) 4 (c) 60 (d) 28
  34. 34.If 9x − 94 = 23, what is x? (a) 117 (b) 13 (c) 12 (d) 14
  35. 35.If 5x + 14 = 4x + 18, what is x? (a) 32 (b) 5 (c) 6 (d) 4
  36. 36.If 2x + 8 = 20, what is x? (a) 7 (b) 12 (c) 6 (d) 14
  37. 37.If 5x + 22 = 47, what is x? (a) 4 (b) 25 (c) 5 (d) 6
  38. 38.If x/2 + 4 = 6, what is x? (a) 4 (b) 8 (c) 20 (d) 2
  39. 39.If 8x + 21 = 45, what is x? (a) 2 (b) 4 (c) 3 (d) 24
  40. 40.If 3x − 4 = 2, what is x? (a) 1 (b) 3 (c) 6 (d) 2

Answer key

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

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