← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 475 · 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 = 4, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  2. 2.If 6x + 27 = 117, what is x? (a) 15 (b) 24 (c) 16 (d) 90
  3. 3.If 2x + 2 = 24, what is x? (a) 13 (b) 11 (c) 12 (d) 22
  4. 4.If x/2 + 7 = 11, what is x? (a) 8 (b) 15 (c) 4 (d) 36
  5. 5.If x/3 + 8 = 12, what is x? (a) 4 (b) 60 (c) 28 (d) 12
  6. 6.If x/2 + 5 = 15, what is x? (a) 10 (b) 40 (c) 25 (d) 20
  7. 7.If 6x − 24 = 30, what is x? (a) 9 (b) 54 (c) 1 (d) 10
  8. 8.If x/5 + 6 = 18, what is x? (a) 12 (b) 120 (c) 60 (d) 84
  9. 9.If 2x − 11 = 7, what is x? (a) 18 (b) 9 (c) 8 (d) 10
  10. 10.If 4x − 4 = 52, what is x? (a) 12 (b) 56 (c) 15 (d) 14
  11. 11.If x/5 + 15 = 17, what is x? (a) 70 (b) 160 (c) 2 (d) 10
  12. 12.If 8x + 4 = 28, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  13. 13.If x/4 + 4 = 8, what is x? (a) 16 (b) 28 (c) 4 (d) 48
  14. 14.If 2x + 13 = 37, what is x? (a) 25 (b) 13 (c) 12 (d) 24
  15. 15.If 7x + 16 = 6x + 27, what is x? (a) 12 (b) 43 (c) 11 (d) 13
  16. 16.If 4x − 36 = 24, what is x? (a) 16 (b) 15 (c) 60 (d) 14
  17. 17.If 4x − 14 = 38, what is x? (a) 14 (b) 52 (c) 6 (d) 13
  18. 18.If x/6 + 11 = 20, what is x? (a) 9 (b) 109 (c) 54 (d) 186
  19. 19.If 3x + 5 = x + 17, what is x? (a) 11 (b) 7 (c) 6 (d) 3
  20. 20.If 7x + 3 = 17, what is x? (a) 2 (b) 1 (c) 14 (d) 3
  21. 21.If x/3 + 12 = 22, what is x? (a) 54 (b) 10 (c) 102 (d) 30
  22. 22.If 4x − 19 = 29, what is x? (a) 13 (b) 48 (c) 11 (d) 12
  23. 23.If x/4 + 1 = 8, what is x? (a) 36 (b) 7 (c) 28 (d) 31
  24. 24.If x/2 + 6 = 14, what is x? (a) 22 (b) 40 (c) 16 (d) 8
  25. 25.If x/4 + 13 = 15, what is x? (a) 112 (b) 47 (c) 8 (d) 2
  26. 26.If 9x + 21 = 120, what is x? (a) 12 (b) 11 (c) 99 (d) 10
  27. 27.If x/2 + 10 = 13, what is x? (a) 16 (b) 46 (c) 3 (d) 6
  28. 28.If x/5 + 14 = 18, what is x? (a) 76 (b) 4 (c) 160 (d) 20
  29. 29.If 6x − 9 = 3, what is x? (a) 3 (b) 2 (c) 12 (d) 1
  30. 30.If 8x + 27 = 51, what is x? (a) 2 (b) 24 (c) 4 (d) 3
  31. 31.If 3x − 14 = 28, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  32. 32.If x/5 + 11 = 17, what is x? (a) 140 (b) 74 (c) 6 (d) 30
  33. 33.If x/3 + 5 = 11, what is x? (a) 48 (b) 18 (c) 6 (d) 28
  34. 34.If 5x + 20 = 90, what is x? (a) 15 (b) 70 (c) 22 (d) 14
  35. 35.If 2x + 9 = 13, what is x? (a) 11 (b) 4 (c) 3 (d) 2
  36. 36.If 7x + 6 = 5x + 26, what is x? (a) 12 (b) 16 (c) 11 (d) 10
  37. 37.If 2x + 27 = 37, what is x? (a) 10 (b) 32 (c) 5 (d) 6
  38. 38.If x/6 + 7 = 13, what is x? (a) 6 (b) 120 (c) 36 (d) 71
  39. 39.If 8x − 33 = 47, what is x? (a) 80 (b) 11 (c) 10 (d) 9
  40. 40.If x/3 + 3 = 9, what is x? (a) 6 (b) 36 (c) 18 (d) 24

Answer key

  1. 2
  2. 15
  3. 11
  4. 8
  5. 12
  6. 20
  7. 9
  8. 60
  9. 9
  10. 14
  11. 10
  12. 3
  13. 16
  14. 12
  15. 11
  16. 15
  17. 13
  18. 54
  19. 6
  20. 2
  21. 30
  22. 12
  23. 28
  24. 16
  25. 8
  26. 11
  27. 6
  28. 20
  29. 2
  30. 3
  31. 14
  32. 30
  33. 18
  34. 14
  35. 2
  36. 10
  37. 5
  38. 36
  39. 10
  40. 18

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