מתמטיקה תיכונית/אלגברה תיכונית/משוואות/משוואות פשוטות בנעלם אחד/תרגילים/רמה ג

תרגילים

פתרו את המשוואות הבאות (ארוך)

1. $-{\frac {11}{4}}x+{\frac {3}{5}}+{\frac {1}{5}}-{\frac {1}{2}}x+{\frac {1}{2}}+{\frac {3}{4}}=-{\frac {1}{2}}x+{\frac {11}{4}}x+{\frac {591}{20}}$
2. ${\frac {4}{3}}-{\frac {1}{3}}x+{\frac {3}{7}}+12x={\frac {11}{9}}-x-{\frac {4}{5}}+{\frac {9}{2}}-{\frac {57851}{630}}$
3. ${\frac {2}{3}}+4x-{\frac {2}{3}}-{\frac {3}{7}}x+{\frac {2}{3}}={\frac {7}{2}}x-{\frac {7}{11}}-x+{\frac {2281}{231}}$
4. ${\frac {11}{4}}+{\frac {11}{7}}+{\frac {8}{11}}+{\frac {3}{4}}x+{\frac {7}{2}}=10x+{\frac {11}{8}}x-{\frac {1}{2}}-{\frac {36483}{308}}$
5. $-7+{\frac {1}{2}}-{\frac {3}{2}}=-{\frac {5}{9}}-2+{\frac {10}{7}}x-x+{\frac {8}{7}}-{\frac {442}{63}}$
6. $-12x+4x-{\frac {5}{7}}x-x=-{\frac {11}{4}}+2x-5x-1-{\frac {3279}{28}}$
7. $-{\frac {6}{11}}x-{\frac {11}{3}}+x-{\frac {7}{2}}x+{\frac {1}{12}}x=-{\frac {5}{7}}x-{\frac {2}{3}}-{\frac {9}{2}}x-{\frac {691}{924}}$
8. ${\frac {1}{7}}+{\frac {11}{5}}-{\frac {3}{4}}x-{\frac {12}{7}}x=-{\frac {1}{6}}x-{\frac {12}{5}}x-2+{\frac {2}{3}}x+{\frac {468}{35}}$
9. $-2-{\frac {3}{2}}-{\frac {10}{9}}x-{\frac {9}{11}}x=-10x+6-{\frac {3}{8}}x+{\frac {2}{3}}+{\frac {30761}{264}}$
10. $-{\frac {8}{11}}x+{\frac {5}{2}}x=-{\frac {7}{2}}x+12-{\frac {7}{11}}-{\frac {4}{3}}x+{\frac {3}{5}}+{\frac {2}{3}}-{\frac {5418}{55}}$
11. $-2-{\frac {3}{5}}+8x-{\frac {9}{10}}+x+{\frac {11}{10}}x=3+x+{\frac {1391}{10}}$
12. ${\frac {7}{9}}x+{\frac {11}{8}}+{\frac {3}{2}}x+{\frac {5}{11}}-{\frac {2}{5}}=-{\frac {1}{3}}x-{\frac {8}{9}}x+{\frac {11}{10}}x-{\frac {9931}{440}}$
13. ${\frac {7}{12}}x-{\frac {7}{3}}x-{\frac {5}{11}}x={\frac {1}{3}}x+{\frac {12}{5}}x-{\frac {7}{12}}x-{\frac {3}{4}}-{\frac {3}{10}}-{\frac {4559}{220}}$
14. ${\frac {3}{5}}x-{\frac {3}{4}}+11x-{\frac {1}{3}}-5x=-{\frac {3}{11}}x-{\frac {2}{3}}+{\frac {7}{8}}x-{\frac {12013}{330}}$
15. $3-1-1+{\frac {11}{6}}x+{\frac {3}{2}}-{\frac {12}{11}}=-{\frac {11}{12}}x-{\frac {2}{3}}+{\frac {863}{66}}$
16. $-{\frac {2}{9}}+{\frac {6}{7}}x+{\frac {3}{4}}x+x+{\frac {5}{3}}-{\frac {7}{6}}x=-{\frac {1}{3}}x+{\frac {1}{7}}-{\frac {365}{63}}$
17. $-{\frac {3}{2}}+6x+{\frac {10}{3}}+{\frac {7}{9}}x-{\frac {3}{4}}={\frac {3}{2}}-2-{\frac {5}{2}}-{\frac {3025}{36}}$
18. $-{\frac {3}{10}}x-{\frac {9}{11}}-{\frac {2}{3}}x-6x-10+{\frac {1}{9}}=-{\frac {10}{9}}+{\frac {6}{11}}+{\frac {1877}{495}}$
19. ${\frac {12}{5}}x+{\frac {1}{8}}x-{\frac {11}{2}}+{\frac {11}{3}}x=-{\frac {1}{4}}x-{\frac {5}{6}}x+{\frac {8}{7}}-{\frac {1}{3}}x+{\frac {17313}{280}}$
20. ${\frac {10}{3}}+{\frac {1}{2}}+{\frac {1}{12}}=7x+{\frac {1}{3}}-{\frac {12}{7}}+{\frac {4}{3}}x+{\frac {11}{7}}+{\frac {10813}{84}}$
21. ${\frac {9}{8}}-{\frac {2}{3}}x+{\frac {7}{4}}x+{\frac {7}{12}}=-{\frac {1}{4}}+3x-x+{\frac {6}{7}}x+{\frac {3011}{168}}$
22. $-{\frac {2}{5}}-{\frac {4}{3}}-{\frac {11}{2}}x-{\frac {7}{6}}x-{\frac {1}{3}}x-{\frac {3}{11}}={\frac {10}{3}}x+{\frac {6}{7}}+{\frac {14811}{385}}$
23. ${\frac {11}{6}}x-3x+5-{\frac {1}{6}}x-{\frac {3}{8}}x=-6x+{\frac {8}{5}}+{\frac {11}{5}}+{\frac {1048}{15}}$
24. ${\frac {9}{11}}+{\frac {1}{4}}+{\frac {2}{5}}-{\frac {3}{4}}x+{\frac {5}{4}}x-2+{\frac {11}{3}}x={\frac {5}{2}}x-{\frac {15751}{660}}$
25. $-{\frac {9}{4}}+{\frac {9}{7}}-{\frac {7}{12}}x-{\frac {9}{5}}x-{\frac {6}{5}}+{\frac {2}{7}}x=-2-{\frac {3}{5}}+{\frac {1147}{105}}$
26. $-{\frac {9}{10}}+{\frac {5}{11}}x-10-{\frac {9}{7}}x-7+1=-{\frac {4}{5}}+{\frac {1}{5}}-{\frac {9991}{770}}$
27. $-{\frac {3}{8}}x+{\frac {4}{3}}+{\frac {3}{2}}+{\frac {4}{11}}x=-2x+{\frac {10}{7}}+{\frac {2}{3}}x-{\frac {5}{12}}-{\frac {6207}{616}}$
28. $-{\frac {5}{11}}x-2x+{\frac {8}{7}}-{\frac {7}{10}}+7={\frac {8}{9}}x+{\frac {11}{10}}+{\frac {5}{4}}+{\frac {54183}{1540}}$
29. $-3x-{\frac {9}{2}}x+3+{\frac {1}{5}}=-{\frac {5}{6}}x+{\frac {7}{4}}x+{\frac {7}{3}}x-{\frac {5}{11}}x-{\frac {2089}{55}}$
30. ${\frac {1}{6}}-3-5x-{\frac {5}{3}}x+9=4+{\frac {5}{4}}-{\frac {4}{9}}x-{\frac {2207}{36}}$
31. ${\frac {11}{6}}x-{\frac {1}{5}}x-{\frac {1}{4}}-{\frac {8}{5}}x+{\frac {1}{2}}x+{\frac {9}{5}}=-{\frac {1}{5}}x+{\frac {6}{5}}x+{\frac {143}{20}}$
32. $-{\frac {3}{5}}x-5x+{\frac {9}{5}}-{\frac {11}{7}}+{\frac {7}{6}}+{\frac {9}{4}}x=-3+{\frac {8}{3}}x+{\frac {24589}{420}}$
33. ${\frac {1}{3}}+1+{\frac {7}{2}}x+{\frac {10}{9}}x={\frac {5}{7}}-{\frac {9}{5}}+{\frac {2}{9}}x+5+{\frac {1753}{35}}$
34. $-{\frac {6}{5}}x-{\frac {9}{2}}-{\frac {8}{5}}+{\frac {7}{12}}-{\frac {2}{5}}-6x+{\frac {11}{8}}=-{\frac {5}{6}}x+{\frac {655}{24}}$
35. $1+x-{\frac {4}{11}}x+{\frac {7}{2}}x-{\frac {1}{6}}=-{\frac {2}{3}}-{\frac {2}{5}}x-{\frac {3}{8}}x-{\frac {1501}{440}}$
36. $-{\frac {3}{2}}x-{\frac {1}{7}}+x-{\frac {1}{12}}x+x-{\frac {3}{2}}-{\frac {1}{8}}={\frac {1}{9}}x-{\frac {2893}{504}}$
37. ${\frac {7}{6}}-1+{\frac {1}{5}}x-{\frac {2}{3}}-2x+{\frac {5}{11}}=-{\frac {4}{3}}x-{\frac {1}{2}}x-{\frac {13}{165}}$
38. $x+{\frac {1}{10}}+12+{\frac {5}{8}}x=-{\frac {7}{9}}+{\frac {5}{12}}x-{\frac {8}{9}}x+{\frac {4}{11}}x+{\frac {16672}{495}}$
39. $-{\frac {1}{6}}+{\frac {1}{2}}-x+{\frac {5}{3}}x+{\frac {3}{11}}x={\frac {5}{11}}-3+{\frac {11}{6}}x+{\frac {1193}{66}}$
40. ${\frac {10}{7}}-4-{\frac {9}{8}}x+4x-{\frac {3}{8}}+{\frac {9}{5}}x=x+{\frac {5}{2}}x+{\frac {596}{35}}$
41. $-{\frac {3}{2}}x-{\frac {8}{7}}+{\frac {3}{8}}x-{\frac {11}{7}}={\frac {11}{10}}x-{\frac {10}{3}}-2-{\frac {4}{3}}-{\frac {4943}{168}}$
42. $-{\frac {11}{9}}x-{\frac {9}{4}}+{\frac {1}{10}}=-1+{\frac {2}{7}}+3x-{\frac {7}{12}}-{\frac {7}{10}}+{\frac {6634}{105}}$
43. ${\frac {1}{10}}+-{\frac {1}{4}}x+{\frac {6}{11}}+{\frac {2}{3}}+{\frac {3}{11}}+{\frac {1}{10}}x=-{\frac {3}{4}}x+{\frac {3163}{330}}$
44. $-{\frac {6}{7}}x-{\frac {1}{10}}x+4+{\frac {3}{2}}x-{\frac {3}{11}}x=10+{\frac {5}{2}}x+{\frac {11}{9}}+{\frac {212651}{6930}}$
45. $-{\frac {7}{9}}x-{\frac {1}{2}}x+{\frac {5}{3}}x={\frac {4}{5}}+1-{\frac {5}{7}}x+{\frac {6}{5}}-{\frac {1}{6}}-{\frac {109}{63}}$
46. ${\frac {5}{11}}+1+{\frac {1}{5}}-x-11x+1+{\frac {1}{12}}x={\frac {2}{5}}x+{\frac {1655}{11}}$
47. $-{\frac {11}{7}}-{\frac {1}{4}}-{\frac {3}{4}}-{\frac {3}{4}}={\frac {8}{3}}-{\frac {5}{7}}+13x-{\frac {9}{8}}x-{\frac {229}{14}}$
48. $-1-{\frac {5}{3}}-{\frac {1}{2}}x-{\frac {8}{11}}x=-{\frac {1}{12}}+{\frac {9}{5}}+{\frac {1}{2}}+x+{\frac {2657}{660}}$
49. $-{\frac {9}{4}}x-{\frac {9}{5}}+{\frac {11}{6}}x+8x-{\frac {1}{5}}+{\frac {2}{3}}+{\frac {3}{7}}={\frac {9}{8}}x-{\frac {3407}{168}}$
50. ${\frac {5}{9}}-2x-{\frac {2}{3}}x+{\frac {3}{10}}x+{\frac {9}{7}}=-4-{\frac {3}{2}}-{\frac {2}{3}}x+{\frac {23903}{630}}$

תשובות סופיות

1. $-5$
2. $-7$
3. $8$
4. $12$
5. $1$
6. $18$
7. $1$
8. $-16$
9. $15$
10. $-13$
11. $16$
12. $-10$
13. $5$
14. $-6$
15. $4$
16. $-4$
17. $-13$
18. $-2$
19. $9$
20. $-15$
21. $-9$
22. $-4$
23. $16$
24. $-14$
25. $-5$
26. $-4$
27. $-9$
28. $-9$
29. $4$
30. $10$
31. $-12$
32. $-9$
33. $12$
34. $-5$
35. $-1$
36. $-13$
37. $-1$
38. $12$
39. $-17$
40. $17$
41. $15$
42. $-15$
43. $5$
44. $-17$
45. $1$
46. $-12$
47. $-14$
48. $-4$
49. $-3$
50. $-18$