← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 167 · 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 8x − 12 = 28, what is x? (a) 6 (b) 2 (c) 40 (d) 5
  2. 2.If x/2 + 3 = 11, what is x? (a) 28 (b) 8 (c) 19 (d) 16
  3. 3.If 3x + 16 = 2x + 26, what is x? (a) 2 (b) 42 (c) 11 (d) 10
  4. 4.If 6x − 6 = 54, what is x? (a) 8 (b) 11 (c) 60 (d) 10
  5. 5.If 9x − 24 = 93, what is x? (a) 14 (b) 117 (c) 12 (d) 13
  6. 6.If x/2 + 14 = 24, what is x? (a) 10 (b) 20 (c) 34 (d) 76
  7. 7.If 4x + 4 = 3x + 5, what is x? (a) 9 (b) 3 (c) 1 (d) 2
  8. 8.If x/6 + 5 = 15, what is x? (a) 60 (b) 10 (c) 120 (d) 85
  9. 9.If 8x − 23 = 65, what is x? (a) 12 (b) 10 (c) 88 (d) 11
  10. 10.If x/2 + 2 = 10, what is x? (a) 8 (b) 24 (c) 16 (d) 18
  11. 11.If 3x + 14 = x + 18, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  12. 12.If 5x + 12 = x + 60, what is x? (a) 13 (b) 12 (c) 8 (d) 18
  13. 13.If 6x + 28 = 106, what is x? (a) 12 (b) 13 (c) 14 (d) 78
  14. 14.If 3x + 3 = 2x + 6, what is x? (a) 5 (b) 4 (c) 3 (d) 9
  15. 15.If 5x + 30 = 40, what is x? (a) 14 (b) 2 (c) 3 (d) 10
  16. 16.If x/4 + 3 = 15, what is x? (a) 57 (b) 72 (c) 48 (d) 12
  17. 17.If 2x + 13 = 33, what is x? (a) 10 (b) 11 (c) 23 (d) 20
  18. 18.If x/5 + 6 = 14, what is x? (a) 100 (b) 64 (c) 8 (d) 40
  19. 19.If 9x + 6 = 33, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  20. 20.If 3x + 19 = x + 27, what is x? (a) 2 (b) 23 (c) 5 (d) 4
  21. 21.If x/3 + 9 = 12, what is x? (a) 63 (b) 27 (c) 3 (d) 9
  22. 22.If 9x + 4 = x + 12, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  23. 23.If x/5 + 13 = 16, what is x? (a) 145 (b) 67 (c) 3 (d) 15
  24. 24.If 3x + 15 = 39, what is x? (a) 24 (b) 8 (c) 9 (d) 18
  25. 25.If 2x − 2 = 24, what is x? (a) 11 (b) 14 (c) 13 (d) 26
  26. 26.If 2x − 8 = 12, what is x? (a) 20 (b) 10 (c) 2 (d) 11
  27. 27.If x/6 + 3 = 11, what is x? (a) 8 (b) 84 (c) 63 (d) 48
  28. 28.If 2x + 1 = 7, what is x? (a) 4 (b) 2 (c) 6 (d) 3
  29. 29.If 5x + 4 = 74, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  30. 30.If x/4 + 14 = 21, what is x? (a) 28 (b) 70 (c) 140 (d) 7
  31. 31.If 5x − 46 = 19, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  32. 32.If 2x + 14 = 40, what is x? (a) 14 (b) 27 (c) 26 (d) 13
  33. 33.If x/3 + 2 = 13, what is x? (a) 33 (b) 45 (c) 37 (d) 11
  34. 34.If 5x − 7 = 8, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  35. 35.If 3x − 6 = 3, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  36. 36.If x/3 + 4 = 10, what is x? (a) 6 (b) 42 (c) 26 (d) 18
  37. 37.If x/4 + 13 = 19, what is x? (a) 128 (b) 24 (c) 6 (d) 63
  38. 38.If 7x − 3 = 11, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  39. 39.If x/4 + 1 = 9, what is x? (a) 35 (b) 40 (c) 32 (d) 8
  40. 40.If 9x − 22 = 50, what is x? (a) 9 (b) 7 (c) 8 (d) 72

Answer key

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

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