← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 472 · 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 4x + 10 = 3x + 17, what is x? (a) 1 (b) 8 (c) 27 (d) 7
  2. 2.If 3x − 28 = 5, what is x? (a) 33 (b) 10 (c) 11 (d) 12
  3. 3.If x/2 + 8 = 18, what is x? (a) 28 (b) 20 (c) 10 (d) 52
  4. 4.If x/5 + 5 = 14, what is x? (a) 65 (b) 9 (c) 45 (d) 95
  5. 5.If 3x + 24 = 36, what is x? (a) 4 (b) 20 (c) 12 (d) 5
  6. 6.If 5x + 2 = 2x + 11, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  7. 7.If 8x + 21 = 53, what is x? (a) 3 (b) 4 (c) 32 (d) 5
  8. 8.If 5x − 30 = 45, what is x? (a) 75 (b) 15 (c) 16 (d) 3
  9. 9.If x/3 + 2 = 5, what is x? (a) 3 (b) 21 (c) 9 (d) 13
  10. 10.If x/6 + 7 = 11, what is x? (a) 4 (b) 24 (c) 108 (d) 59
  11. 11.If 7x + 19 = 68, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  12. 12.If 3x − 4 = 14, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  13. 13.If 4x + 19 = 75, what is x? (a) 14 (b) 13 (c) 56 (d) 15
  14. 14.If 8x − 4 = 12, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  15. 15.If 8x + 2 = 82, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  16. 16.If 6x + 4 = x + 14, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  17. 17.If 2x + 17 = 47, what is x? (a) 32 (b) 16 (c) 15 (d) 30
  18. 18.If 3x − 3 = 18, what is x? (a) 21 (b) 8 (c) 7 (d) 5
  19. 19.If x/3 + 3 = 10, what is x? (a) 27 (b) 21 (c) 7 (d) 39
  20. 20.If 4x + 2 = x + 38, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  21. 21.If 8x + 20 = 108, what is x? (a) 16 (b) 12 (c) 88 (d) 11
  22. 22.If 6x + 2 = x + 62, what is x? (a) 11 (b) 12 (c) 13 (d) 14
  23. 23.If 3x + 26 = 62, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  24. 24.If 6x + 30 = 102, what is x? (a) 12 (b) 13 (c) 72 (d) 22
  25. 25.If x/4 + 15 = 19, what is x? (a) 16 (b) 61 (c) 136 (d) 4
  26. 26.If x/3 + 4 = 12, what is x? (a) 32 (b) 8 (c) 48 (d) 24
  27. 27.If 3x + 7 = x + 13, what is x? (a) 10 (b) 5 (c) 3 (d) 4
  28. 28.If 2x + 27 = 45, what is x? (a) 36 (b) 18 (c) 9 (d) 10
  29. 29.If 3x + 22 = 49, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  30. 30.If 4x + 5 = 3x + 17, what is x? (a) 12 (b) 14 (c) 22 (d) 13
  31. 31.If 5x − 7 = 28, what is x? (a) 8 (b) 6 (c) 35 (d) 7
  32. 32.If 4x + 15 = 75, what is x? (a) 60 (b) 14 (c) 15 (d) 16
  33. 33.If x/5 + 4 = 13, what is x? (a) 9 (b) 61 (c) 45 (d) 85
  34. 34.If 7x + 20 = 5x + 22, what is x? (a) 3 (b) 1 (c) 2 (d) 21
  35. 35.If 3x + 3 = 2x + 10, what is x? (a) 13 (b) 7 (c) 9 (d) 8
  36. 36.If 3x − 5 = 7, what is x? (a) 12 (b) 5 (c) 4 (d) 3
  37. 37.If 4x + 6 = x + 12, what is x? (a) 6 (b) 3 (c) 4 (d) 2
  38. 38.If 3x + 18 = 36, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  39. 39.If x/4 + 2 = 6, what is x? (a) 4 (b) 22 (c) 32 (d) 16
  40. 40.If 4x + 18 = 30, what is x? (a) 4 (b) 2 (c) 3 (d) 12

Answer key

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

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