← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 939 · 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 7x − 9 = 12, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  2. 2.If 2x − 6 = 14, what is x? (a) 10 (b) 4 (c) 11 (d) 20
  3. 3.If x/4 + 1 = 3, what is x? (a) 2 (b) 8 (c) 16 (d) 11
  4. 4.If x/2 + 5 = 8, what is x? (a) 3 (b) 6 (c) 11 (d) 26
  5. 5.If 3x + 3 = 2x + 5, what is x? (a) 3 (b) 4 (c) 8 (d) 2
  6. 6.If 2x + 24 = 34, what is x? (a) 10 (b) 6 (c) 5 (d) 29
  7. 7.If 2x + 18 = 44, what is x? (a) 31 (b) 26 (c) 14 (d) 13
  8. 8.If 2x + 2 = 10, what is x? (a) 8 (b) 4 (c) 6 (d) 5
  9. 9.If 2x + 4 = 22, what is x? (a) 10 (b) 13 (c) 9 (d) 18
  10. 10.If 8x + 7 = 2x + 19, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  11. 11.If x/5 + 5 = 14, what is x? (a) 65 (b) 95 (c) 9 (d) 45
  12. 12.If 3x − 1 = 32, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  13. 13.If 6x + 4 = 3x + 34, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  14. 14.If 2x + 12 = 18, what is x? (a) 3 (b) 6 (c) 15 (d) 4
  15. 15.If x/5 + 4 = 9, what is x? (a) 41 (b) 25 (c) 65 (d) 5
  16. 16.If 7x + 9 = 72, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  17. 17.If 9x + 15 = 78, what is x? (a) 63 (b) 8 (c) 7 (d) 6
  18. 18.If x/6 + 1 = 10, what is x? (a) 66 (b) 9 (c) 59 (d) 54
  19. 19.If 4x − 5 = 15, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  20. 20.If 8x + 4 = 20, what is x? (a) 3 (b) 1 (c) 16 (d) 2
  21. 21.If 9x + 18 = 7x + 26, what is x? (a) 4 (b) 22 (c) 6 (d) 5
  22. 22.If x/2 + 6 = 10, what is x? (a) 32 (b) 4 (c) 8 (d) 14
  23. 23.If 5x + 3 = x + 19, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  24. 24.If 2x − 2 = 2, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  25. 25.If 2x − 4 = 24, what is x? (a) 28 (b) 10 (c) 14 (d) 15
  26. 26.If x/4 + 5 = 15, what is x? (a) 80 (b) 40 (c) 55 (d) 10
  27. 27.If x/2 + 2 = 9, what is x? (a) 16 (b) 22 (c) 14 (d) 7
  28. 28.If 6x + 17 = 2x + 41, what is x? (a) 3 (b) 6 (c) 8 (d) 7
  29. 29.If 3x − 3 = 15, what is x? (a) 6 (b) 18 (c) 7 (d) 4
  30. 30.If 8x + 7 = 55, what is x? (a) 48 (b) 7 (c) 5 (d) 6
  31. 31.If 7x − 37 = 26, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  32. 32.If 4x + 2 = 3x + 7, what is x? (a) 6 (b) 5 (c) 9 (d) 7
  33. 33.If 8x + 16 = 3x + 71, what is x? (a) 11 (b) 12 (c) 13 (d) 5
  34. 34.If x/2 + 14 = 19, what is x? (a) 5 (b) 24 (c) 66 (d) 10
  35. 35.If x/5 + 9 = 21, what is x? (a) 96 (b) 150 (c) 12 (d) 60
  36. 36.If 9x + 4 = 40, what is x? (a) 4 (b) 5 (c) 3 (d) 36
  37. 37.If x/6 + 5 = 12, what is x? (a) 67 (b) 42 (c) 102 (d) 7
  38. 38.If 7x + 8 = 2x + 58, what is x? (a) 11 (b) 12 (c) 9 (d) 10
  39. 39.If 6x + 12 = 4x + 20, what is x? (a) 6 (b) 16 (c) 4 (d) 5
  40. 40.If 9x + 14 = 59, what is x? (a) 45 (b) 6 (c) 4 (d) 5

Answer key

  1. 3
  2. 10
  3. 8
  4. 6
  5. 2
  6. 5
  7. 13
  8. 4
  9. 9
  10. 2
  11. 45
  12. 11
  13. 10
  14. 3
  15. 25
  16. 9
  17. 7
  18. 54
  19. 5
  20. 2
  21. 4
  22. 8
  23. 4
  24. 2
  25. 14
  26. 40
  27. 14
  28. 6
  29. 6
  30. 6
  31. 9
  32. 5
  33. 11
  34. 10
  35. 60
  36. 4
  37. 42
  38. 10
  39. 4
  40. 5

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