← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 517 · 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 x/5 + 11 = 19, what is x? (a) 150 (b) 40 (c) 84 (d) 8
  2. 2.If 8x + 21 = 61, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  3. 3.If 6x − 30 = 30, what is x? (a) 11 (b) 10 (c) 60 (d) 9
  4. 4.If 2x + 13 = 23, what is x? (a) 18 (b) 10 (c) 6 (d) 5
  5. 5.If x/4 + 9 = 13, what is x? (a) 16 (b) 43 (c) 88 (d) 4
  6. 6.If 2x + 27 = 55, what is x? (a) 28 (b) 15 (c) 14 (d) 41
  7. 7.If x/6 + 12 = 19, what is x? (a) 7 (b) 186 (c) 102 (d) 42
  8. 8.If x/2 + 3 = 5, what is x? (a) 16 (b) 2 (c) 7 (d) 4
  9. 9.If x/5 + 9 = 18, what is x? (a) 135 (b) 45 (c) 9 (d) 81
  10. 10.If 9x − 36 = 36, what is x? (a) 7 (b) 8 (c) 72 (d) 9
  11. 11.If 3x + 12 = 2x + 18, what is x? (a) 30 (b) 8 (c) 6 (d) 7
  12. 12.If 3x + 3 = 2x + 5, what is x? (a) 8 (b) 2 (c) 4 (d) 3
  13. 13.If 2x + 8 = 38, what is x? (a) 23 (b) 30 (c) 15 (d) 16
  14. 14.If 4x − 4 = 4, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  15. 15.If x/2 + 4 = 11, what is x? (a) 14 (b) 7 (c) 18 (d) 30
  16. 16.If x/3 + 9 = 15, what is x? (a) 72 (b) 18 (c) 6 (d) 36
  17. 17.If 9x + 16 = 133, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  18. 18.If 2x + 12 = 16, what is x? (a) 14 (b) 3 (c) 4 (d) 2
  19. 19.If 9x + 29 = 101, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  20. 20.If 7x + 6 = 2x + 11, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  21. 21.If 6x − 38 = 4, what is x? (a) 8 (b) 42 (c) 7 (d) 6
  22. 22.If 6x − 47 = 7, what is x? (a) 54 (b) 8 (c) 9 (d) 10
  23. 23.If 7x − 25 = 45, what is x? (a) 9 (b) 70 (c) 10 (d) 11
  24. 24.If 5x − 2 = 68, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  25. 25.If 3x + 5 = 32, what is x? (a) 8 (b) 9 (c) 27 (d) 10
  26. 26.If 8x + 8 = 104, what is x? (a) 14 (b) 12 (c) 96 (d) 13
  27. 27.If x/2 + 4 = 15, what is x? (a) 38 (b) 22 (c) 11 (d) 26
  28. 28.If 8x − 20 = 4, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  29. 29.If 5x − 49 = 26, what is x? (a) 75 (b) 16 (c) 15 (d) 14
  30. 30.If 8x + 8 = 72, what is x? (a) 10 (b) 8 (c) 9 (d) 64
  31. 31.If 9x + 4 = 7x + 20, what is x? (a) 9 (b) 8 (c) 12 (d) 1
  32. 32.If 2x − 5 = 5, what is x? (a) 5 (b) 4 (c) 10 (d) 6
  33. 33.If 9x − 11 = 115, what is x? (a) 13 (b) 14 (c) 15 (d) 126
  34. 34.If 3x + 5 = 38, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  35. 35.If 2x + 3 = 25, what is x? (a) 14 (b) 22 (c) 11 (d) 12
  36. 36.If x/2 + 11 = 15, what is x? (a) 52 (b) 4 (c) 19 (d) 8
  37. 37.If 4x + 17 = x + 41, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  38. 38.If 2x + 1 = 15, what is x? (a) 6 (b) 14 (c) 8 (d) 7
  39. 39.If 2x + 16 = 26, what is x? (a) 6 (b) 21 (c) 10 (d) 5
  40. 40.If 8x + 7 = 71, what is x? (a) 8 (b) 7 (c) 9 (d) 64

Answer key

  1. 40
  2. 5
  3. 10
  4. 5
  5. 16
  6. 14
  7. 42
  8. 4
  9. 45
  10. 8
  11. 6
  12. 2
  13. 15
  14. 2
  15. 14
  16. 18
  17. 13
  18. 2
  19. 8
  20. 1
  21. 7
  22. 9
  23. 10
  24. 14
  25. 9
  26. 12
  27. 22
  28. 3
  29. 15
  30. 8
  31. 8
  32. 5
  33. 14
  34. 11
  35. 11
  36. 8
  37. 8
  38. 7
  39. 5
  40. 8

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