← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 175 · 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 2x − 7 = 23, what is x? (a) 15 (b) 16 (c) 8 (d) 30
  2. 2.If 7x − 21 = 14, what is x? (a) 6 (b) 5 (c) 4 (d) 35
  3. 3.If 6x + 8 = 3x + 17, what is x? (a) 3 (b) 4 (c) 1 (d) 5
  4. 4.If 9x + 14 = 5x + 38, what is x? (a) 6 (b) 7 (c) 8 (d) 13
  5. 5.If 3x + 29 = 47, what is x? (a) 6 (b) 7 (c) 18 (d) 5
  6. 6.If x/5 + 1 = 3, what is x? (a) 14 (b) 10 (c) 20 (d) 2
  7. 7.If 3x + 16 = x + 18, what is x? (a) 2 (b) 1 (c) 3 (d) 17
  8. 8.If 6x + 15 = 3x + 51, what is x? (a) 13 (b) 22 (c) 12 (d) 4
  9. 9.If 7x + 8 = 4x + 26, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  10. 10.If 9x + 26 = 44, what is x? (a) 18 (b) 2 (c) 1 (d) 3
  11. 11.If x/3 + 7 = 16, what is x? (a) 69 (b) 9 (c) 27 (d) 41
  12. 12.If 8x + 20 = 2x + 86, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  13. 13.If 3x + 3 = 2x + 10, what is x? (a) 13 (b) 8 (c) 9 (d) 7
  14. 14.If 9x + 1 = 37, what is x? (a) 3 (b) 4 (c) 5 (d) 36
  15. 15.If 2x + 30 = 52, what is x? (a) 11 (b) 22 (c) 41 (d) 12
  16. 16.If 4x + 21 = 73, what is x? (a) 12 (b) 14 (c) 13 (d) 52
  17. 17.If 9x + 28 = 64, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  18. 18.If x/4 + 12 = 24, what is x? (a) 48 (b) 144 (c) 84 (d) 12
  19. 19.If 9x + 30 = 111, what is x? (a) 8 (b) 9 (c) 10 (d) 81
  20. 20.If x/2 + 15 = 22, what is x? (a) 74 (b) 7 (c) 29 (d) 14
  21. 21.If x/6 + 7 = 17, what is x? (a) 60 (b) 95 (c) 10 (d) 144
  22. 22.If 3x + 16 = 2x + 22, what is x? (a) 38 (b) 8 (c) 6 (d) 7
  23. 23.If 4x + 7 = 27, what is x? (a) 4 (b) 5 (c) 20 (d) 6
  24. 24.If 3x + 6 = 2x + 7, what is x? (a) 1 (b) 3 (c) 2 (d) 13
  25. 25.If 6x + 15 = 5x + 19, what is x? (a) 5 (b) 34 (c) 4 (d) 6
  26. 26.If 9x + 13 = 8x + 19, what is x? (a) 7 (b) 6 (c) 32 (d) 8
  27. 27.If x/2 + 2 = 10, what is x? (a) 24 (b) 18 (c) 16 (d) 8
  28. 28.If 2x + 11 = 41, what is x? (a) 16 (b) 15 (c) 26 (d) 30
  29. 29.If 6x − 44 = 22, what is x? (a) 10 (b) 12 (c) 66 (d) 11
  30. 30.If 5x + 13 = 2x + 16, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  31. 31.If 4x + 6 = 58, what is x? (a) 14 (b) 52 (c) 16 (d) 13
  32. 32.If 4x − 3 = 53, what is x? (a) 14 (b) 15 (c) 56 (d) 13
  33. 33.If 4x + 17 = 3x + 19, what is x? (a) 3 (b) 4 (c) 2 (d) 36
  34. 34.If 2x + 14 = 40, what is x? (a) 26 (b) 13 (c) 27 (d) 14
  35. 35.If 6x − 25 = 23, what is x? (a) 48 (b) 8 (c) 7 (d) 9
  36. 36.If x/3 + 10 = 19, what is x? (a) 9 (b) 47 (c) 87 (d) 27
  37. 37.If 9x + 1 = 2x + 15, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  38. 38.If 9x + 5 = 2x + 19, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  39. 39.If 3x + 17 = 2x + 27, what is x? (a) 2 (b) 10 (c) 11 (d) 44
  40. 40.If 9x + 9 = 5x + 13, what is x? (a) 2 (b) 1 (c) 3 (d) 4

Answer key

  1. 15
  2. 5
  3. 3
  4. 6
  5. 6
  6. 10
  7. 1
  8. 12
  9. 6
  10. 2
  11. 27
  12. 11
  13. 7
  14. 4
  15. 11
  16. 13
  17. 4
  18. 48
  19. 9
  20. 14
  21. 60
  22. 6
  23. 5
  24. 1
  25. 4
  26. 6
  27. 16
  28. 15
  29. 11
  30. 1
  31. 13
  32. 14
  33. 2
  34. 13
  35. 8
  36. 27
  37. 2
  38. 2
  39. 10
  40. 1

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