← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 326 · 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 9x − 14 = 22, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  2. 2.If 7x + 11 = x + 83, what is x? (a) 13 (b) 12 (c) 14 (d) 9
  3. 3.If 4x + 15 = 3x + 20, what is x? (a) 7 (b) 35 (c) 5 (d) 6
  4. 4.If 3x + 14 = 2x + 25, what is x? (a) 39 (b) 12 (c) 13 (d) 11
  5. 5.If x/3 + 2 = 13, what is x? (a) 11 (b) 33 (c) 37 (d) 45
  6. 6.If 9x + 15 = x + 23, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  7. 7.If 6x + 3 = 15, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  8. 8.If 2x − 3 = 3, what is x? (a) 3 (b) 2 (c) 4 (d) 6
  9. 9.If 5x + 5 = 15, what is x? (a) 3 (b) 2 (c) 10 (d) 4
  10. 10.If 6x + 2 = 86, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  11. 11.If 2x − 4 = 22, what is x? (a) 14 (b) 13 (c) 26 (d) 9
  12. 12.If x/3 + 3 = 7, what is x? (a) 12 (b) 4 (c) 30 (d) 18
  13. 13.If x/2 + 10 = 14, what is x? (a) 48 (b) 4 (c) 18 (d) 8
  14. 14.If x/6 + 7 = 11, what is x? (a) 24 (b) 59 (c) 4 (d) 108
  15. 15.If 2x + 17 = 47, what is x? (a) 16 (b) 30 (c) 32 (d) 15
  16. 16.If x/3 + 5 = 14, what is x? (a) 27 (b) 37 (c) 9 (d) 57
  17. 17.If 3x − 4 = 11, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  18. 18.If 8x + 16 = 64, what is x? (a) 48 (b) 10 (c) 7 (d) 6
  19. 19.If 3x + 15 = 2x + 21, what is x? (a) 7 (b) 6 (c) 8 (d) 36
  20. 20.If 3x + 7 = 19, what is x? (a) 5 (b) 4 (c) 12 (d) 3
  21. 21.If 2x − 12 = 6, what is x? (a) 9 (b) 10 (c) 18 (d) 8
  22. 22.If x/3 + 7 = 10, what is x? (a) 51 (b) 9 (c) 23 (d) 3
  23. 23.If 6x + 21 = 51, what is x? (a) 5 (b) 30 (c) 12 (d) 6
  24. 24.If 8x − 13 = 11, what is x? (a) 3 (b) 2 (c) 24 (d) 4
  25. 25.If 9x − 110 = 16, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  26. 26.If 2x − 16 = 4, what is x? (a) 20 (b) 9 (c) 10 (d) 11
  27. 27.If 7x − 15 = 48, what is x? (a) 10 (b) 63 (c) 8 (d) 9
  28. 28.If 5x − 45 = 10, what is x? (a) 12 (b) 11 (c) 55 (d) 10
  29. 29.If x/5 + 4 = 10, what is x? (a) 46 (b) 30 (c) 6 (d) 70
  30. 30.If 8x + 7 = 4x + 11, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  31. 31.If x/5 + 10 = 20, what is x? (a) 150 (b) 50 (c) 10 (d) 90
  32. 32.If 5x + 7 = 3x + 19, what is x? (a) 6 (b) 8 (c) 13 (d) 7
  33. 33.If 9x − 58 = 77, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  34. 34.If 2x − 1 = 3, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  35. 35.If 9x + 19 = 127, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  36. 36.If x/6 + 4 = 8, what is x? (a) 72 (b) 44 (c) 4 (d) 24
  37. 37.If 5x − 36 = 34, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  38. 38.If 3x − 1 = 5, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  39. 39.If 8x + 5 = 7x + 17, what is x? (a) 13 (b) 12 (c) 22 (d) 14
  40. 40.If x/3 + 13 = 16, what is x? (a) 9 (b) 87 (c) 3 (d) 35

Answer key

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

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