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  • Course
  • Mathematik
  • Institution
  • Gymnasium
  • Book
  • Lambacher Schweizer. 8. Schuljahr. Trainingsheft für Klassenarbeiten

Hier zu sehen ist die Korrektur einer Stegreifaufgabe, welche in der 8.Klasse eines Gymnasiums geschrieben wurde.Es geht ausschließlich m die Potenzgesetze und besteht daher nur aus zwei Aufgaben.

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Document information

  • July 1, 2023
  • 1
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers

Subjects

  • potenzgesetze
  • mathematik
  • potenzen
  • potenzen mit variablen
  • 1potenzgesetz
  • 2potenzgesetz
  • 3potenzgesetz

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Written for

  • Secondary school
  • Gymnasium
  • Mathematik
  • 1
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Zur Erinnerung:
Aufgabe 1 42 (22) 24
=
2 =




3a 9(32)
=




Finde die Unbekannte a heraus.

a) 2 42,2a+


4/b) 4-142.4-3.44 2ada-2.(5)()=16
= =




LP: 2a 2:
=



(22)".(242 (27-.(244 2" =



(a. 3.3) =


16

2.2.24.20.28 2a
24:2a 2
(a.2.37216
= =



=




2 4 68
3.4
24
a
21
- +




fa
+




2
-
-




(Esan
=




=




4
-> -


a 1 7a 3
=
=




24 2a =


Kehrbruch

a4
=>
=




4 16a21:16
=




a2 f a 0,5
=>
= =

=




Aufgabe 2
Vereinfache den Bruchterm so weit wie möglich.

x=z x-(x
X 1

a)
=
=


2) x -2


( 5). 1 l
G) *. s
-

* =
=




x -(x 5) x -




C .
* (+1 -
x (+112 x+1 =




x1 +


x2 (x 1) x2
+

X -




-1 X 1

d) 3x1°x 1x
1
(3x 1).x 3x 1
-
= - =



3x +
+




2x 6 (3 x)04x (3-x):2 (3 x): 2 2
:22:
-
-
-




= - =
- -

4x +2:(2x 6) -

x .2(x 3) -
x.(3 x)-
X



x 2
+
(x 2)2 (x 2) (x 1)2
+ + -
+

x 1
+




f)
I - =

x 1(x 1)2(x 1)-(x 2)2
+ + + +

x 2 +




- In
:42+x X ·(3 x) (x 3)
g) 33
- -




--
=




x
-

x x 3).x(5x 1)
-
+




4-2x =
x(4 2x).(2x 4) -
+




h)
↳
(4 2x) (2x 4)8x 16
=




X
-
1
2x 4 +

x-1.x
-
- +
=
+
-

4x2 8x 16 4x2
-
= -




*
1
1
1
=




E

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