← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 196 · 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 x/3 + 9 = 19, what is x? (a) 30 (b) 10 (c) 48 (d) 84
  2. 2.If x/3 + 11 = 15, what is x? (a) 4 (b) 78 (c) 12 (d) 34
  3. 3.If 4x − 13 = 43, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  4. 4.If 4x − 12 = 4, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  5. 5.If 5x − 35 = 25, what is x? (a) 12 (b) 13 (c) 11 (d) 60
  6. 6.If x/3 + 12 = 19, what is x? (a) 7 (b) 21 (c) 93 (d) 45
  7. 7.If x/2 + 10 = 18, what is x? (a) 16 (b) 26 (c) 8 (d) 56
  8. 8.If 2x + 4 = 24, what is x? (a) 10 (b) 11 (c) 20 (d) 14
  9. 9.If 2x + 8 = 30, what is x? (a) 12 (b) 11 (c) 22 (d) 19
  10. 10.If 8x + 16 = 7x + 18, what is x? (a) 4 (b) 2 (c) 34 (d) 3
  11. 11.If x/3 + 10 = 18, what is x? (a) 44 (b) 24 (c) 84 (d) 8
  12. 12.If 5x + 18 = 2x + 27, what is x? (a) 5 (b) 15 (c) 4 (d) 3
  13. 13.If 8x − 57 = 63, what is x? (a) 120 (b) 14 (c) 16 (d) 15
  14. 14.If 7x + 11 = 6x + 22, what is x? (a) 12 (b) 11 (c) 33 (d) 13
  15. 15.If x/5 + 5 = 13, what is x? (a) 40 (b) 90 (c) 8 (d) 60
  16. 16.If 3x + 8 = 26, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  17. 17.If 2x + 20 = 46, what is x? (a) 13 (b) 26 (c) 14 (d) 33
  18. 18.If 4x − 19 = 9, what is x? (a) 6 (b) 7 (c) 8 (d) 28
  19. 19.If 4x + 4 = 3x + 8, what is x? (a) 6 (b) 12 (c) 5 (d) 4
  20. 20.If x/6 + 13 = 22, what is x? (a) 210 (b) 9 (c) 119 (d) 54
  21. 21.If 3x + 2 = 47, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  22. 22.If x/6 + 13 = 15, what is x? (a) 2 (b) 77 (c) 168 (d) 12
  23. 23.If 9x + 19 = 2x + 61, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  24. 24.If 7x + 6 = 27, what is x? (a) 21 (b) 4 (c) 2 (d) 3
  25. 25.If 3x + 11 = 2x + 14, what is x? (a) 25 (b) 5 (c) 3 (d) 4
  26. 26.If 3x + 8 = 41, what is x? (a) 11 (b) 10 (c) 12 (d) 33
  27. 27.If x/4 + 10 = 17, what is x? (a) 7 (b) 58 (c) 108 (d) 28
  28. 28.If 9x − 8 = 91, what is x? (a) 99 (b) 11 (c) 10 (d) 12
  29. 29.If x/2 + 3 = 10, what is x? (a) 17 (b) 26 (c) 14 (d) 7
  30. 30.If x/2 + 9 = 18, what is x? (a) 27 (b) 54 (c) 18 (d) 9
  31. 31.If 3x + 27 = 36, what is x? (a) 9 (b) 4 (c) 21 (d) 3
  32. 32.If 8x + 6 = 38, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  33. 33.If 4x + 3 = x + 12, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  34. 34.If x/5 + 8 = 12, what is x? (a) 4 (b) 100 (c) 52 (d) 20
  35. 35.If 3x + 1 = 40, what is x? (a) 13 (b) 12 (c) 39 (d) 14
  36. 36.If 9x − 40 = 95, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  37. 37.If x/6 + 5 = 17, what is x? (a) 132 (b) 12 (c) 72 (d) 97
  38. 38.If 7x + 30 = 65, what is x? (a) 35 (b) 5 (c) 6 (d) 4
  39. 39.If 9x + 5 = 50, what is x? (a) 4 (b) 6 (c) 5 (d) 45
  40. 40.If 4x − 29 = 23, what is x? (a) 12 (b) 14 (c) 13 (d) 52

Answer key

  1. 30
  2. 12
  3. 14
  4. 4
  5. 12
  6. 21
  7. 16
  8. 10
  9. 11
  10. 2
  11. 24
  12. 3
  13. 15
  14. 11
  15. 40
  16. 6
  17. 13
  18. 7
  19. 4
  20. 54
  21. 15
  22. 12
  23. 6
  24. 3
  25. 3
  26. 11
  27. 28
  28. 11
  29. 14
  30. 18
  31. 3
  32. 4
  33. 3
  34. 20
  35. 13
  36. 15
  37. 72
  38. 5
  39. 5
  40. 13

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