← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 991 · 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 + 9 = 19, what is x? (a) 14 (b) 10 (c) 6 (d) 5
  2. 2.If 8x − 38 = 50, what is x? (a) 12 (b) 10 (c) 11 (d) 88
  3. 3.If x/6 + 2 = 6, what is x? (a) 34 (b) 24 (c) 48 (d) 4
  4. 4.If 2x + 6 = 16, what is x? (a) 10 (b) 5 (c) 11 (d) 6
  5. 5.If x/6 + 13 = 22, what is x? (a) 210 (b) 9 (c) 119 (d) 54
  6. 6.If 7x + 1 = 4x + 13, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  7. 7.If 8x − 10 = 46, what is x? (a) 6 (b) 8 (c) 7 (d) 56
  8. 8.If 4x − 5 = 39, what is x? (a) 11 (b) 12 (c) 44 (d) 10
  9. 9.If x/4 + 2 = 10, what is x? (a) 38 (b) 48 (c) 8 (d) 32
  10. 10.If x/6 + 13 = 18, what is x? (a) 5 (b) 95 (c) 186 (d) 30
  11. 11.If 4x − 34 = 14, what is x? (a) 48 (b) 13 (c) 12 (d) 11
  12. 12.If 3x + 12 = 2x + 22, what is x? (a) 11 (b) 34 (c) 10 (d) 2
  13. 13.If 2x + 27 = 33, what is x? (a) 30 (b) 6 (c) 4 (d) 3
  14. 14.If 6x − 17 = 49, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  15. 15.If 5x + 15 = x + 19, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  16. 16.If 7x − 6 = 92, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  17. 17.If 3x + 6 = 45, what is x? (a) 17 (b) 13 (c) 14 (d) 39
  18. 18.If x/5 + 5 = 7, what is x? (a) 60 (b) 10 (c) 30 (d) 2
  19. 19.If 2x − 10 = 4, what is x? (a) 8 (b) 6 (c) 7 (d) 14
  20. 20.If x/2 + 3 = 11, what is x? (a) 8 (b) 16 (c) 28 (d) 19
  21. 21.If 6x + 14 = 68, what is x? (a) 9 (b) 54 (c) 10 (d) 8
  22. 22.If 4x + 20 = 3x + 22, what is x? (a) 4 (b) 3 (c) 2 (d) 42
  23. 23.If 4x + 18 = 2x + 32, what is x? (a) 25 (b) 7 (c) 9 (d) 8
  24. 24.If x/6 + 9 = 17, what is x? (a) 156 (b) 48 (c) 93 (d) 8
  25. 25.If 3x + 7 = 49, what is x? (a) 15 (b) 13 (c) 14 (d) 42
  26. 26.If 6x + 18 = 78, what is x? (a) 60 (b) 10 (c) 11 (d) 16
  27. 27.If 7x + 9 = 3x + 53, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  28. 28.If 7x + 13 = 5x + 27, what is x? (a) 7 (b) 9 (c) 8 (d) 20
  29. 29.If x/3 + 2 = 5, what is x? (a) 13 (b) 9 (c) 3 (d) 21
  30. 30.If 3x − 1 = 32, what is x? (a) 11 (b) 33 (c) 12 (d) 10
  31. 31.If 2x + 19 = 23, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  32. 32.If x/2 + 8 = 16, what is x? (a) 8 (b) 48 (c) 16 (d) 24
  33. 33.If 2x + 5 = 21, what is x? (a) 9 (b) 8 (c) 13 (d) 16
  34. 34.If 9x + 6 = 105, what is x? (a) 12 (b) 99 (c) 11 (d) 10
  35. 35.If 6x − 6 = 60, what is x? (a) 11 (b) 12 (c) 9 (d) 66
  36. 36.If 5x + 2 = 72, what is x? (a) 15 (b) 13 (c) 70 (d) 14
  37. 37.If 5x − 1 = 24, what is x? (a) 25 (b) 5 (c) 6 (d) 4
  38. 38.If 3x + 6 = x + 30, what is x? (a) 18 (b) 6 (c) 12 (d) 13
  39. 39.If 9x + 13 = 8x + 16, what is x? (a) 29 (b) 4 (c) 5 (d) 3
  40. 40.If 3x + 6 = 36, what is x? (a) 14 (b) 11 (c) 10 (d) 30

Answer key

  1. 5
  2. 11
  3. 24
  4. 5
  5. 54
  6. 4
  7. 7
  8. 11
  9. 32
  10. 30
  11. 12
  12. 10
  13. 3
  14. 11
  15. 1
  16. 14
  17. 13
  18. 10
  19. 7
  20. 16
  21. 9
  22. 2
  23. 7
  24. 48
  25. 14
  26. 10
  27. 11
  28. 7
  29. 9
  30. 11
  31. 2
  32. 16
  33. 8
  34. 11
  35. 11
  36. 14
  37. 5
  38. 12
  39. 3
  40. 10

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