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Odčítání lomených výrazů

Authored by Veronika Kuncová

Mathematics

9th Grade

Used 2+ times

Odčítání lomených výrazů
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8 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 2a53a=\frac{2}{a}-\frac{5}{3a}=  

 73a           a0\frac{7}{3a}\ \ \ \ \ \ \ \ \ \ \ a\ne0  

 13a           a0\frac{1}{3a}\ \ \ \ \ \ \ \ \ \ \ a\ne0  

 13a           a0-\frac{1}{3a}\ \ \ \ \ \ \ \ \ \ \ a\ne0  

 53a           a0\frac{5}{3a}\ \ \ \ \ \ \ \ \ \ \ a\ne0  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 x+2xx15x=\frac{x+2}{x}-\frac{x-1}{5x}=  

 2x15x           x0\frac{2x-1}{5x}\ \ \ \ \ \ \ \ \ \ \ x\ne0  

 x215x           x0\frac{x^2-1}{5x}\ \ \ \ \ \ \ \ \ \ \ x\ne0  

 3x+55x           x0\frac{3x+5}{5x}\ \ \ \ \ \ \ \ \ \ \ x\ne0  

 4x+115x           x0\frac{4x+11}{5x}\ \ \ \ \ \ \ \ \ \ \ x\ne0  

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 y33y2+yy2=\frac{y-3}{3y}-\frac{2+y}{y^2}=  

 y26y63y2           y0\frac{y^2-6y-6}{3y^2}\ \ \ \ \ \ \ \ \ \ \ y\ne0  

 2y2+2y33y2           y0\frac{2y^2+2y-3}{3y^2}\ \ \ \ \ \ \ \ \ \ \ y\ne0  

 y263y2           y0\frac{y^2-6}{3y^2}\ \ \ \ \ \ \ \ \ \ \ y\ne0  

 y23y+93y2           y0\frac{y^2-3y+9}{3y^2}\ \ \ \ \ \ \ \ \ \ \ y\ne0  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 3i+2i353i=\frac{3i+2}{i-3}-\frac{5}{3i}=  

 3i2+2i+103i(i3)           i0; i3\frac{3i^2+2i+10}{3i\left(i-3\right)}\ \ \ \ \ \ \ \ \ \ \ i\ne0;\ i\ne3  

 9i2+i+153i(i3)           i0; i3\frac{9i^2+i+15}{3i\left(i-3\right)}\ \ \ \ \ \ \ \ \ \ \ i\ne0;\ i\ne3  

 i2+5i+103i(i3)           i0; i3\frac{i^2+5i+10}{3i\left(i-3\right)}\ \ \ \ \ \ \ \ \ \ \ i\ne0;\ i\ne3  

 3i53i(i3)           i0; i3\frac{3i-5}{3i\left(i-3\right)}\ \ \ \ \ \ \ \ \ \ \ i\ne0;\ i\ne3  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 x+1x+2x+4x+3=\frac{x+1}{x+2}-\frac{x+4}{x+3}=  

 x2+5x+5(x+2)(x+3)           x2; x3\frac{x^2+5x+5}{\left(x+2\right)\left(x+3\right)}\ \ \ \ \ \ \ \ \ \ \ x\ne-2;\ x\ne-3  

 2x+5(x+2)(x+3)           x2; x3\frac{2x+5}{\left(x+2\right)\left(x+3\right)}\ \ \ \ \ \ \ \ \ \ \ x\ne-2;\ x\ne-3  

 x2+2x5(x+2)(x+3)           x2; x3\frac{x^2+2x-5}{\left(x+2\right)\left(x+3\right)}\ \ \ \ \ \ \ \ \ \ \ x\ne-2;\ x\ne-3  

 2x3(x+2)(x+3)           x2; x3\frac{-2x-3}{\left(x+2\right)\left(x+3\right)}\ \ \ \ \ \ \ \ \ \ \ x\ne-2;\ x\ne-3  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 3a+53a3a2a1=\frac{3a+5}{3a-3}-\frac{a-2}{a-1}=  

 2a+33(a1)           a1\frac{2a+3}{3\left(a-1\right)}\ \ \ \ \ \ \ \ \ \ \ a\ne1  

 4a33(a1)           a1\frac{4a-3}{3\left(a-1\right)}\ \ \ \ \ \ \ \ \ \ \ a\ne1  

 113(a1)           a1\frac{11}{3\left(a-1\right)}\ \ \ \ \ \ \ \ \ \ \ a\ne1  

 73(a1)           a1\frac{7}{3\left(a-1\right)}\ \ \ \ \ \ \ \ \ \ \ a\ne1  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 y+5y21214yy+11=\frac{y+5}{y^2-121}-\frac{4-y}{y+11}=  

 y214y+49(y+11)(y11)           y11; y11\frac{y^2-14y+49}{\left(y+11\right)\left(y-11\right)}\ \ \ \ \ \ \ \ \ \ \ y\ne11;\ y\ne-11  

 y2+5y+4(y+11)(y11)           y11; y11\frac{y^2+5y+4}{\left(y+11\right)\left(y-11\right)}\ \ \ \ \ \ \ \ \ \ \ y\ne11;\ y\ne-11  

 5y2+4y+10(y+11)(y11)           y11; y11\frac{5y^2+4y+10}{\left(y+11\right)\left(y-11\right)}\ \ \ \ \ \ \ \ \ \ \ y\ne11;\ y\ne-11  

 4y2+y+5(y+11)(y11)           y11; y11\frac{4y^2+y+5}{\left(y+11\right)\left(y-11\right)}\ \ \ \ \ \ \ \ \ \ \ y\ne11;\ y\ne-11  

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