← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 709 · 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 − 3 = 39, what is x? (a) 12 (b) 14 (c) 42 (d) 15
  2. 2.If 6x + 20 = 98, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  3. 3.If x/5 + 14 = 18, what is x? (a) 76 (b) 20 (c) 160 (d) 4
  4. 4.If x/2 + 7 = 12, what is x? (a) 38 (b) 10 (c) 17 (d) 5
  5. 5.If x/2 + 8 = 15, what is x? (a) 14 (b) 22 (c) 7 (d) 46
  6. 6.If 3x − 14 = 13, what is x? (a) 8 (b) 9 (c) 10 (d) 27
  7. 7.If 5x + 16 = 46, what is x? (a) 30 (b) 7 (c) 6 (d) 5
  8. 8.If 6x + 27 = 51, what is x? (a) 5 (b) 4 (c) 24 (d) 13
  9. 9.If 4x − 23 = 17, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  10. 10.If 9x − 3 = 132, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  11. 11.If 9x + 16 = 115, what is x? (a) 12 (b) 11 (c) 10 (d) 99
  12. 12.If 5x − 10 = 35, what is x? (a) 10 (b) 9 (c) 5 (d) 45
  13. 13.If x/4 + 11 = 21, what is x? (a) 40 (b) 128 (c) 73 (d) 10
  14. 14.If 5x + 18 = 3x + 34, what is x? (a) 9 (b) 26 (c) 2 (d) 8
  15. 15.If 4x − 1 = 23, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  16. 16.If 3x + 25 = 58, what is x? (a) 10 (b) 33 (c) 11 (d) 12
  17. 17.If x/2 + 6 = 16, what is x? (a) 44 (b) 20 (c) 10 (d) 26
  18. 18.If 7x + 28 = 70, what is x? (a) 42 (b) 6 (c) 7 (d) 14
  19. 19.If 3x + 2 = 2x + 6, what is x? (a) 8 (b) 6 (c) 4 (d) 5
  20. 20.If 9x + 12 = 39, what is x? (a) 3 (b) 4 (c) 27 (d) 2
  21. 21.If 5x + 2 = 77, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  22. 22.If 7x + 18 = x + 66, what is x? (a) 6 (b) 14 (c) 9 (d) 8
  23. 23.If 4x + 18 = 38, what is x? (a) 5 (b) 14 (c) 6 (d) 20
  24. 24.If 6x + 9 = x + 24, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  25. 25.If 7x − 8 = 62, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  26. 26.If 2x − 13 = 3, what is x? (a) 9 (b) 8 (c) 16 (d) 7
  27. 27.If 4x + 13 = 49, what is x? (a) 10 (b) 36 (c) 8 (d) 9
  28. 28.If x/5 + 15 = 17, what is x? (a) 160 (b) 2 (c) 10 (d) 70
  29. 29.If 7x + 4 = 6x + 14, what is x? (a) 12 (b) 10 (c) 18 (d) 11
  30. 30.If 6x + 6 = 24, what is x? (a) 3 (b) 5 (c) 4 (d) 18
  31. 31.If 2x + 13 = 23, what is x? (a) 10 (b) 5 (c) 6 (d) 18
  32. 32.If x/4 + 10 = 13, what is x? (a) 3 (b) 12 (c) 92 (d) 42
  33. 33.If 8x + 15 = 79, what is x? (a) 9 (b) 7 (c) 64 (d) 8
  34. 34.If x/2 + 9 = 11, what is x? (a) 40 (b) 13 (c) 2 (d) 4
  35. 35.If x/3 + 2 = 14, what is x? (a) 36 (b) 48 (c) 12 (d) 40
  36. 36.If 9x + 7 = 61, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  37. 37.If 6x − 7 = 47, what is x? (a) 8 (b) 10 (c) 9 (d) 54
  38. 38.If 4x − 7 = 1, what is x? (a) 3 (b) 2 (c) 8 (d) 1
  39. 39.If 5x + 16 = 2x + 46, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  40. 40.If 2x + 9 = 13, what is x? (a) 11 (b) 4 (c) 2 (d) 3

Answer key

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

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