← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 17 · 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 − 3 = 17, what is x? (a) 6 (b) 4 (c) 20 (d) 5
  2. 2.If 5x + 13 = 43, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  3. 3.If 7x + 14 = 56, what is x? (a) 10 (b) 6 (c) 42 (d) 7
  4. 4.If 6x + 7 = 2x + 15, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  5. 5.If 6x + 16 = 5x + 21, what is x? (a) 37 (b) 5 (c) 7 (d) 6
  6. 6.If x/2 + 8 = 12, what is x? (a) 16 (b) 40 (c) 4 (d) 8
  7. 7.If 6x − 13 = 35, what is x? (a) 9 (b) 48 (c) 8 (d) 7
  8. 8.If x/2 + 5 = 15, what is x? (a) 10 (b) 40 (c) 25 (d) 20
  9. 9.If 5x + 2 = x + 26, what is x? (a) 4 (b) 6 (c) 8 (d) 7
  10. 10.If 6x + 3 = 57, what is x? (a) 10 (b) 9 (c) 54 (d) 8
  11. 11.If 4x + 12 = 52, what is x? (a) 40 (b) 16 (c) 10 (d) 11
  12. 12.If 8x + 10 = 98, what is x? (a) 88 (b) 12 (c) 11 (d) 10
  13. 13.If 5x − 34 = 16, what is x? (a) 10 (b) 9 (c) 50 (d) 11
  14. 14.If 3x + 12 = 39, what is x? (a) 27 (b) 9 (c) 10 (d) 17
  15. 15.If 7x + 3 = 73, what is x? (a) 9 (b) 11 (c) 70 (d) 10
  16. 16.If 6x − 1 = 35, what is x? (a) 7 (b) 5 (c) 36 (d) 6
  17. 17.If 5x + 2 = x + 6, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  18. 18.If 9x + 12 = 111, what is x? (a) 10 (b) 12 (c) 11 (d) 99
  19. 19.If 5x + 15 = 50, what is x? (a) 8 (b) 7 (c) 35 (d) 13
  20. 20.If 8x + 2 = x + 65, what is x? (a) 10 (b) 7 (c) 9 (d) 11
  21. 21.If 5x + 6 = 51, what is x? (a) 10 (b) 9 (c) 45 (d) 8
  22. 22.If 9x + 15 = 78, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  23. 23.If x/5 + 3 = 8, what is x? (a) 25 (b) 5 (c) 55 (d) 37
  24. 24.If 7x + 16 = 5x + 18, what is x? (a) 1 (b) 17 (c) 3 (d) 2
  25. 25.If 4x + 12 = 44, what is x? (a) 8 (b) 32 (c) 14 (d) 9
  26. 26.If x/2 + 11 = 23, what is x? (a) 12 (b) 24 (c) 68 (d) 35
  27. 27.If 5x − 12 = 43, what is x? (a) 12 (b) 11 (c) 55 (d) 10
  28. 28.If x/2 + 4 = 15, what is x? (a) 22 (b) 38 (c) 26 (d) 11
  29. 29.If x/4 + 4 = 7, what is x? (a) 3 (b) 24 (c) 44 (d) 12
  30. 30.If 7x + 26 = 96, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  31. 31.If 3x − 2 = 7, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  32. 32.If x/4 + 6 = 18, what is x? (a) 66 (b) 12 (c) 96 (d) 48
  33. 33.If x/3 + 15 = 22, what is x? (a) 7 (b) 111 (c) 51 (d) 21
  34. 34.If 9x + 18 = 8x + 23, what is x? (a) 41 (b) 7 (c) 6 (d) 5
  35. 35.If x/5 + 15 = 18, what is x? (a) 75 (b) 165 (c) 3 (d) 15
  36. 36.If 9x + 2 = 6x + 38, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  37. 37.If 4x + 26 = 86, what is x? (a) 15 (b) 16 (c) 28 (d) 60
  38. 38.If x/2 + 15 = 26, what is x? (a) 11 (b) 37 (c) 22 (d) 82
  39. 39.If x/5 + 8 = 20, what is x? (a) 92 (b) 12 (c) 140 (d) 60
  40. 40.If 6x + 12 = 2x + 28, what is x? (a) 10 (b) 2 (c) 4 (d) 5

Answer key

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

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