← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 663 · 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 − 69 = 1, what is x? (a) 9 (b) 10 (c) 70 (d) 11
  2. 2.If x/4 + 2 = 9, what is x? (a) 44 (b) 28 (c) 7 (d) 34
  3. 3.If x/3 + 12 = 16, what is x? (a) 84 (b) 12 (c) 36 (d) 4
  4. 4.If 3x + 17 = 32, what is x? (a) 6 (b) 15 (c) 5 (d) 4
  5. 5.If 4x + 29 = 89, what is x? (a) 15 (b) 14 (c) 60 (d) 16
  6. 6.If 7x + 29 = 134, what is x? (a) 15 (b) 105 (c) 14 (d) 16
  7. 7.If x/3 + 1 = 8, what is x? (a) 7 (b) 23 (c) 21 (d) 27
  8. 8.If 9x + 20 = 74, what is x? (a) 5 (b) 6 (c) 54 (d) 7
  9. 9.If 4x − 2 = 58, what is x? (a) 15 (b) 16 (c) 14 (d) 60
  10. 10.If 5x + 6 = 2x + 36, what is x? (a) 11 (b) 14 (c) 12 (d) 10
  11. 11.If 7x − 12 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  12. 12.If x/6 + 14 = 21, what is x? (a) 210 (b) 42 (c) 7 (d) 112
  13. 13.If 4x + 5 = 2x + 7, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  14. 14.If 5x + 3 = 3x + 7, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  15. 15.If x/2 + 4 = 6, what is x? (a) 4 (b) 2 (c) 20 (d) 8
  16. 16.If x/5 + 4 = 12, what is x? (a) 80 (b) 56 (c) 40 (d) 8
  17. 17.If 4x + 13 = 3x + 16, what is x? (a) 29 (b) 5 (c) 3 (d) 4
  18. 18.If 5x − 6 = 4, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  19. 19.If 3x + 21 = 57, what is x? (a) 36 (b) 12 (c) 13 (d) 26
  20. 20.If x/3 + 11 = 22, what is x? (a) 55 (b) 99 (c) 11 (d) 33
  21. 21.If 8x − 34 = 78, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  22. 22.If x/4 + 10 = 19, what is x? (a) 36 (b) 66 (c) 9 (d) 116
  23. 23.If 2x − 4 = 4, what is x? (a) 4 (b) 8 (c) 5 (d) 3
  24. 24.If x/4 + 6 = 11, what is x? (a) 20 (b) 5 (c) 38 (d) 68
  25. 25.If 6x − 5 = 13, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  26. 26.If x/5 + 11 = 21, what is x? (a) 160 (b) 94 (c) 10 (d) 50
  27. 27.If x/2 + 3 = 12, what is x? (a) 30 (b) 21 (c) 9 (d) 18
  28. 28.If x/2 + 14 = 19, what is x? (a) 5 (b) 24 (c) 10 (d) 66
  29. 29.If 5x + 10 = x + 38, what is x? (a) 7 (b) 8 (c) 12 (d) 9
  30. 30.If 8x + 2 = 82, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  31. 31.If 9x + 12 = 138, what is x? (a) 14 (b) 13 (c) 126 (d) 15
  32. 32.If 9x − 102 = 15, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  33. 33.If 4x + 7 = 39, what is x? (a) 7 (b) 32 (c) 8 (d) 9
  34. 34.If x/4 + 10 = 18, what is x? (a) 8 (b) 32 (c) 112 (d) 62
  35. 35.If 7x + 24 = 129, what is x? (a) 15 (b) 14 (c) 105 (d) 16
  36. 36.If x/4 + 10 = 15, what is x? (a) 5 (b) 50 (c) 20 (d) 100
  37. 37.If 4x + 10 = 2x + 24, what is x? (a) 17 (b) 7 (c) 9 (d) 8
  38. 38.If x/5 + 10 = 19, what is x? (a) 85 (b) 145 (c) 45 (d) 9
  39. 39.If 3x + 6 = x + 14, what is x? (a) 2 (b) 4 (c) 10 (d) 5
  40. 40.If 6x + 15 = 105, what is x? (a) 90 (b) 15 (c) 20 (d) 16

Answer key

  1. 10
  2. 28
  3. 12
  4. 5
  5. 15
  6. 15
  7. 21
  8. 6
  9. 15
  10. 10
  11. 2
  12. 42
  13. 1
  14. 2
  15. 4
  16. 40
  17. 3
  18. 2
  19. 12
  20. 33
  21. 14
  22. 36
  23. 4
  24. 20
  25. 3
  26. 50
  27. 18
  28. 10
  29. 7
  30. 10
  31. 14
  32. 13
  33. 8
  34. 32
  35. 15
  36. 20
  37. 7
  38. 45
  39. 4
  40. 15

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