Ajutor la o proba de evaluare clasa 7:

1)Pentru care valori ale nederminatei X nu are sens raportul algebric:
a)[tex] \frac{2x+3}{3x+2} [/tex]
b)[tex] \frac{5x}{x^2-16} [/tex]
c)[tex] \frac{5x-2}{2x-3} [/tex]
d)[tex] \frac{7x}{x^2-25} [/tex]

2)a)Aflati valoarea raportului algebric [tex] \frac{x^2+3}{2x-1} [/tex] pentru:
a)X=3 b)X=√2
2)b)Aflati valoarea raportului algebric[tex] \frac{x^2-2}{3x+1} [/tex] pentru:
a)X=2 b)X=√3

3)a)Amplificati cu X-2 raportul algebric:[tex] \frac{2x}{x+2} [/tex]
3)b)Amplificati cu X+3 raportul algebric:[tex] \frac{3x}{x-3} [/tex]

4)Simplificati raportul algebric:
a)[tex] \frac{x^2+2x}{x^2-4} [/tex]
b)[tex] \frac{x^2-36}{x^2+12x+36} [/tex]
c)[tex] \frac{x^2-9}{x^2+3x} [/tex]
d)[tex] \frac{x^2-16}{x^2-8x+16} [/tex]

5)Efectuati:
a)[tex] \frac{x+1}{x-2} + \frac{3-2x}{5x-10} [/tex]
b)[tex] \frac{2x+1}{2x-6} - \frac{x-2}{3x-9} [/tex]
c)[tex] \frac{5x-10}{x+1} * \frac{x^2-1}{x^2-4} [/tex]
d)[tex] \frac{x^2-9}{y^3-y} / \frac{x^2-6x+9}{4y^2-4} [/tex]
e)[tex] \frac{x^2-9}{x^2+3x} + \frac{2x-3}{3-x} [/tex]
f)[tex] \frac{2x+1}{2x-4} - \frac{2x-1}{3x-6} [/tex]
g)[tex] \frac{9x^2-4}{x^2-1} * \frac{x+1}{6x-4} [/tex]
h)[tex] \frac{x^2-x}{y^2-9} / \frac{9x^2-9}{x^2+6x+9} [/tex]

6)Scrieti ca putere:
a)[tex]( \frac{4x^2-20x+25}{4x^2-25} )^5*( \frac{2x^3-5x^2}{2x^3+5x^2} )^9 /[( \frac{2x-5}{2x+5} )^2]^8[/tex]
b)[tex]( \frac{9x^2+30x+25}{9x^2-25} )^6 *( \frac{3x^2+5x}{3x^2-5x} )^8 /[( \frac{3x-5}{3x+5} )^9]^2[/tex]

Raspunsului corect ii dau coronita si 5 stele si primeste 30 de puncte