← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 166 · 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 5x + 18 = 78, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  2. 2.If 5x + 29 = 39, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  3. 3.If 3x + 19 = 55, what is x? (a) 36 (b) 13 (c) 12 (d) 11
  4. 4.If 6x + 3 = 51, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  5. 5.If x/2 + 7 = 17, what is x? (a) 10 (b) 27 (c) 48 (d) 20
  6. 6.If 3x + 16 = 2x + 20, what is x? (a) 6 (b) 36 (c) 4 (d) 5
  7. 7.If x/6 + 7 = 12, what is x? (a) 65 (b) 30 (c) 114 (d) 5
  8. 8.If 5x − 2 = 8, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  9. 9.If x/3 + 2 = 13, what is x? (a) 33 (b) 11 (c) 45 (d) 37
  10. 10.If 4x − 28 = 20, what is x? (a) 13 (b) 12 (c) 48 (d) 11
  11. 11.If 2x − 4 = 20, what is x? (a) 24 (b) 12 (c) 8 (d) 13
  12. 12.If 7x + 1 = 22, what is x? (a) 21 (b) 2 (c) 3 (d) 4
  13. 13.If x/2 + 10 = 14, what is x? (a) 48 (b) 8 (c) 18 (d) 4
  14. 14.If 2x − 3 = 19, what is x? (a) 12 (b) 22 (c) 8 (d) 11
  15. 15.If 9x + 25 = 88, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  16. 16.If 7x + 3 = 108, what is x? (a) 105 (b) 15 (c) 16 (d) 14
  17. 17.If 2x − 3 = 11, what is x? (a) 7 (b) 8 (c) 14 (d) 4
  18. 18.If 9x + 4 = 6x + 34, what is x? (a) 12 (b) 10 (c) 2 (d) 11
  19. 19.If x/3 + 11 = 18, what is x? (a) 43 (b) 87 (c) 21 (d) 7
  20. 20.If 9x + 7 = 25, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  21. 21.If x/3 + 13 = 25, what is x? (a) 114 (b) 12 (c) 36 (d) 62
  22. 22.If 7x + 6 = 34, what is x? (a) 5 (b) 28 (c) 3 (d) 4
  23. 23.If 8x + 2 = 6x + 22, what is x? (a) 11 (b) 12 (c) 9 (d) 10
  24. 24.If 5x + 7 = 2x + 19, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  25. 25.If 9x + 2 = 4x + 32, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  26. 26.If 8x + 24 = 136, what is x? (a) 112 (b) 15 (c) 14 (d) 20
  27. 27.If 7x − 96 = 2, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  28. 28.If x/2 + 3 = 9, what is x? (a) 15 (b) 6 (c) 24 (d) 12
  29. 29.If x/2 + 9 = 11, what is x? (a) 13 (b) 40 (c) 4 (d) 2
  30. 30.If x/2 + 15 = 26, what is x? (a) 37 (b) 82 (c) 22 (d) 11
  31. 31.If 2x + 7 = 25, what is x? (a) 16 (b) 18 (c) 10 (d) 9
  32. 32.If 4x − 37 = 11, what is x? (a) 48 (b) 12 (c) 11 (d) 13
  33. 33.If 3x + 30 = 42, what is x? (a) 24 (b) 5 (c) 12 (d) 4
  34. 34.If 9x + 2 = 8x + 3, what is x? (a) 5 (b) 3 (c) 2 (d) 1
  35. 35.If x/2 + 5 = 7, what is x? (a) 4 (b) 2 (c) 24 (d) 9
  36. 36.If x/6 + 4 = 11, what is x? (a) 7 (b) 90 (c) 62 (d) 42
  37. 37.If x/5 + 14 = 25, what is x? (a) 55 (b) 11 (c) 111 (d) 195
  38. 38.If x/6 + 2 = 8, what is x? (a) 46 (b) 60 (c) 6 (d) 36
  39. 39.If 4x + 16 = 28, what is x? (a) 4 (b) 11 (c) 12 (d) 3
  40. 40.If 8x + 21 = 61, what is x? (a) 6 (b) 4 (c) 5 (d) 40

Answer key

  1. 12
  2. 2
  3. 12
  4. 8
  5. 20
  6. 4
  7. 30
  8. 2
  9. 33
  10. 12
  11. 12
  12. 3
  13. 8
  14. 11
  15. 7
  16. 15
  17. 7
  18. 10
  19. 21
  20. 2
  21. 36
  22. 4
  23. 10
  24. 4
  25. 6
  26. 14
  27. 14
  28. 12
  29. 4
  30. 22
  31. 9
  32. 12
  33. 4
  34. 1
  35. 4
  36. 42
  37. 55
  38. 36
  39. 3
  40. 5

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