Verstecke letzte Bearbeiter
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19.1 | 1 | {{box cssClass="floatinginfobox" title="**Contents**"}} |
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20.2 | 2 | {{toc start=2 depth=2 /}} |
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19.1 | 3 | {{/box}} |
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1.1 | 5 | == Allgemeines == |
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3.1 | 6 | |
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23.1 | 7 | {{aufgabe ref="AllgemeinesA1"}}Aufgabe 1{{/aufgabe}} |
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3.1 | 8 | |
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1.1 | 9 | Handelt es sich um eine Summe, ein Produkt oder eine Potenz? |
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| 11 | a) {{formula}} 2 \cdot a + 3 {{/formula}} | ||
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| 13 | b) {{formula}} 2 \cdot (a + 3) {{/formula}} | ||
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4.1 | 15 | c) {{formula}} 2 \cdot a^3 {{/formula}} |
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1.1 | 16 | |
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4.1 | 17 | d) {{formula}} 2^{(a + 3)} {{/formula}} |
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1.1 | 18 | |
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21.1 | 19 | {{tags afb="I" operatoren="nennen" quelle="KMap" lizenz="CC BY-SA"/}} |
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1.1 | 20 | |
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16.1 | 21 | === Aufgabe 2 === |
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1.1 | 22 | |
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22.1 | 23 | Stelle einen Term auf, der den Mittelwert einer Zahl, ihrem Doppelten und ihrer Hälfte berechnet! |
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20.4 | 24 | |
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22.1 | 25 | {{tags afb="II" operatoren="berechnen" quelle="KMap" lizenz="CC BY-SA"/}} |
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1.1 | 26 | |
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17.1 | 27 | === Aufgabe 3 === |
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3.1 | 28 | |
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1.1 | 29 | Fasse zusammen! |
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| 31 | a) {{formula}} 3a - 2 \cdot (a - 5b) {{/formula}} | ||
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| 33 | b) {{formula}} (2a - 4b):2 + 3a + b {{/formula}} | ||
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21.1 | 35 | {{tags afb="I" operatoren="rechnen" quelle="Serlo" lizenz="CC BY-SA"/}} |
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1.1 | 36 | |
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3.1 | 37 | == Potenzen == |
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1.1 | 38 | |
| 39 | == Wurzeln == | ||
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3.1 | 40 | |
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1.1 | 41 | == Brüche == |
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3.1 | 42 | |
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1.1 | 43 | == Zusammenfassen == |
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3.1 | 44 | |
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1.1 | 45 | === Aufgabe 1 === |
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3.1 | 46 | |
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1.1 | 47 | Löse die Klammern auf und fasse zusammen! |
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| 49 | a) {{formula}} -(a-b) + 1 -(a-b) + 2a - 2b {{/formula}} | ||
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| 51 | b) {{formula}} \frac{2}{3}a + \frac{b}{6} - \frac{a}{3} + \frac{-b}{3} {{/formula}} | ||
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| 53 | c) {{formula}} a + 2ab + b -2a - ab {{/formula}} | ||
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21.1 | 55 | {{tags afb="I" operatoren="rechnen" quelle="KMap" lizenz="CC BY-SA"/}} |
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2.1 | 56 | |
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1.1 | 57 | == Ausmultiplizieren == |
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3.1 | 58 | |
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1.1 | 59 | === Aufgabe 1 === |
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3.1 | 60 | |
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1.1 | 61 | Multipliziere aus und fasse ggf. zusammen! |
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3.1 | 63 | a) {{formula}} (a+b)(a-b) {{/formula}} |
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1.1 | 64 | |
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3.1 | 65 | b) {{formula}} -(a + 2) (b - 2) {{/formula}} |
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1.1 | 66 | |
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3.1 | 67 | c) {{formula}} \frac{2}{3} (9a-6b) {{/formula}} |
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1.1 | 68 | |
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21.1 | 69 | {{tags afb="I" operatoren="nennen" quelle="KMap" lizenz="CC BY-SA"/}} |
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2.1 | 70 | |
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1.1 | 71 | == Ausklammern == |
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3.1 | 72 | |
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1.1 | 73 | == Binome == |
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3.1 | 74 | |
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1.1 | 75 | === Aufgabe 1 === |
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3.1 | 76 | |
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1.1 | 77 | Berechne mit Hilfe der binomischen Formeln! |
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18.1 | 79 | a) {{formula}} ( a+ 3 )^{2}= {{/formula}} |
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1.1 | 80 | |
| 81 | b) {{formula}} -(a + 2) (a - 2)= {{/formula}} | ||
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18.1 | 83 | c) {{formula}} ( 2a- 4 )^{2}= {{/formula}} |
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1.1 | 84 | |
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21.1 | 85 | {{tags afb="I" operatoren="rechnen" quelle="KMap" lizenz="CC BY-SA"/}} |
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