← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 154 · 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/2 + 14 = 25, what is x? (a) 36 (b) 22 (c) 78 (d) 11
  2. 2.If x/3 + 2 = 12, what is x? (a) 42 (b) 34 (c) 10 (d) 30
  3. 3.If 2x + 5 = 27, what is x? (a) 11 (b) 22 (c) 12 (d) 16
  4. 4.If 6x + 18 = 5x + 25, what is x? (a) 8 (b) 9 (c) 43 (d) 7
  5. 5.If 3x − 44 = 1, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  6. 6.If 2x − 14 = 6, what is x? (a) 10 (b) 11 (c) 20 (d) 9
  7. 7.If x/5 + 14 = 21, what is x? (a) 175 (b) 35 (c) 91 (d) 7
  8. 8.If 8x + 3 = 4x + 27, what is x? (a) 2 (b) 8 (c) 7 (d) 6
  9. 9.If x/4 + 13 = 22, what is x? (a) 75 (b) 36 (c) 140 (d) 9
  10. 10.If 8x + 13 = 125, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  11. 11.If x/5 + 9 = 13, what is x? (a) 4 (b) 110 (c) 20 (d) 56
  12. 12.If 2x + 21 = 35, what is x? (a) 28 (b) 7 (c) 14 (d) 8
  13. 13.If 5x − 15 = 5, what is x? (a) 3 (b) 4 (c) 5 (d) 20
  14. 14.If 4x + 8 = 24, what is x? (a) 16 (b) 8 (c) 4 (d) 5
  15. 15.If 8x − 23 = 1, what is x? (a) 3 (b) 4 (c) 2 (d) 24
  16. 16.If 3x + 5 = 14, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  17. 17.If 9x + 20 = x + 116, what is x? (a) 13 (b) 14 (c) 17 (d) 12
  18. 18.If 9x − 19 = 71, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  19. 19.If 2x + 2 = 14, what is x? (a) 6 (b) 7 (c) 8 (d) 12
  20. 20.If 7x + 8 = 5x + 18, what is x? (a) 5 (b) 7 (c) 6 (d) 13
  21. 21.If 9x + 8 = 8x + 9, what is x? (a) 17 (b) 2 (c) 3 (d) 1
  22. 22.If 4x + 8 = x + 17, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  23. 23.If x/5 + 3 = 7, what is x? (a) 20 (b) 32 (c) 4 (d) 50
  24. 24.If 4x − 19 = 33, what is x? (a) 13 (b) 14 (c) 12 (d) 52
  25. 25.If 3x + 15 = 27, what is x? (a) 4 (b) 12 (c) 14 (d) 5
  26. 26.If 4x + 7 = x + 19, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  27. 27.If x/2 + 5 = 15, what is x? (a) 25 (b) 10 (c) 40 (d) 20
  28. 28.If x/2 + 5 = 9, what is x? (a) 28 (b) 8 (c) 13 (d) 4
  29. 29.If 3x + 4 = 2x + 15, what is x? (a) 11 (b) 19 (c) 12 (d) 13
  30. 30.If x/6 + 15 = 27, what is x? (a) 252 (b) 72 (c) 147 (d) 12
  31. 31.If 4x − 7 = 1, what is x? (a) 2 (b) 3 (c) 8 (d) 1
  32. 32.If 3x + 8 = 23, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  33. 33.If 7x + 14 = 2x + 34, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  34. 34.If 6x + 15 = 75, what is x? (a) 11 (b) 15 (c) 60 (d) 10
  35. 35.If x/5 + 7 = 17, what is x? (a) 50 (b) 120 (c) 10 (d) 78
  36. 36.If 7x + 17 = 101, what is x? (a) 13 (b) 84 (c) 12 (d) 11
  37. 37.If 9x + 20 = 6x + 44, what is x? (a) 10 (b) 7 (c) 8 (d) 9
  38. 38.If 7x + 22 = 36, what is x? (a) 1 (b) 3 (c) 2 (d) 14
  39. 39.If 8x + 9 = 5x + 45, what is x? (a) 18 (b) 13 (c) 12 (d) 14
  40. 40.If 4x − 29 = 15, what is x? (a) 12 (b) 44 (c) 10 (d) 11

Answer key

  1. 22
  2. 30
  3. 11
  4. 7
  5. 15
  6. 10
  7. 35
  8. 6
  9. 36
  10. 14
  11. 20
  12. 7
  13. 4
  14. 4
  15. 3
  16. 3
  17. 12
  18. 10
  19. 6
  20. 5
  21. 1
  22. 3
  23. 20
  24. 13
  25. 4
  26. 4
  27. 20
  28. 8
  29. 11
  30. 72
  31. 2
  32. 5
  33. 4
  34. 10
  35. 50
  36. 12
  37. 8
  38. 2
  39. 12
  40. 11

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