{"showCoverPage":true,"bookCover":{"coverDescription":"

erklaerung-und-mehr.org<\/p>\n","coverAltText":"Bowl of berries"},"chapters":[{"params":{"content":[{"content":{"params":{"visuals":{"fit":true,"controls":true},"playback":{"autoplay":false,"loop":false},"l10n":{"name":"Video","loading":"Videoplayer l\u00e4dt...","noPlayers":"Keine Videoplayer gefunden, die das vorliegende Videoformat unterst\u00fctzen.","noSources":"Es wurden f\u00fcr das Video keine Quellen angegeben.","aborted":"Das Abspielen des Videos wurde abgebrochen.","networkFailure":"Netzwerkfehler.","cannotDecode":"Dekodierung des Mediums nicht m\u00f6glich.","formatNotSupported":"Videoformat wird nicht unterst\u00fctzt.","mediaEncrypted":"Medium verschl\u00fcsselt.","unknownError":"Unbekannter Fehler.","invalidYtId":"Ung\u00fcltige YouTube-ID.","unknownYtId":"Video mit dieser YouTube-ID konnte nicht gefunden werden.","restrictedYt":"Der Besitzer dieses Videos erlaubt kein Einbetten."},"sources":[{"path":"https:\/\/youtu.be\/S-oCeLTT3Qk","mime":"video\/YouTube","copyright":{"license":"U"}}]},"library":"H5P.Video 1.5","metadata":{"contentType":"Video","license":"U","title":"Unbenannt: Video","defaultLanguage":"de"},"subContentId":"8c6ee455-7a7a-4250-ab31-cf3eacb820d2"},"useSeparator":"auto"}]},"library":"H5P.Column 1.13","subContentId":"6cff5085-d68f-4afb-a54c-a9a45d9a4c75","metadata":{"contentType":"Column","license":"CC BY-SA","title":"Erkl\u00e4rvideo","defaultLanguage":"de","authors":[{"name":"erklaerung-und-mehr.org","role":"Author"}],"licenseVersion":"4.0","source":"http:\/\/erklaerung-und-mehr.org","yearFrom":2020,"yearTo":2020}},{"params":{"content":[{"content":{"params":{"text":"

Aufgabe 1:
\nL\u00f6se die Gleichung: <\/strong><\/span>5x = 2x + 6<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"605751cc-3c2a-49d5-bb05-5bcbfd4583e9"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 2: <\/strong><\/span>
\nL\u00f6se die Gleichung: 12x = 7x + 15<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"5c1c6b85-39f8-44f5-98cc-c4e2b1f41f21"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 3:
\nL\u00f6se die Gleichung: 3x = x + 6<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"7c7ce5d9-c1ac-4f42-98ac-ebca3ed2915d"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 1:
\nL\u00f6se die Gleichung: <\/strong><\/span>6x + 5 = 3x + 17<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"27a35605-d7c9-48d0-aeaf-99437a704e45"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 2: <\/strong><\/span>
\nL\u00f6se die Gleichung: 2x + 5 = 21 - 2x<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"b446bd77-8c77-47fd-bd1a-906579b4a3e4"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 3:
\nL\u00f6se die Gleichung: 5x + 5 = 3x + 15<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"5ccf1671-654e-498f-9581-7f8d33913c9c"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 1:
\nL\u00f6se die Gleichung: 3 (x + 5) = x + 25<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"39750f53-2cea-4ad6-b524-4034a4f5f90b"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 2: <\/strong><\/span>
\nL\u00f6se die Gleichung: 4 + (x + 4) = 5 - (x - 5)<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"5298989b-59f6-425e-9965-b62c4d6548c9"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Wie lautet der n\u00e4chste Schritt?<\/p>\n","overallFeedback":[{"from":0,"to":100}],"solvedLabel":"Fortschritt:","scoreLabel":"Falsche Antworten:","resultLabel":"Dein Ergebnis","labelCorrect":"Richtig.","labelIncorrect":"Falsch! Bitte versuche es noch einmal.","alternativeIncorrectLabel":"Falsch","labelCorrectAnswers":"Richtige Antwort(en).","tipButtonLabel":"Tipp anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","progressText":"Fortschritt :num von :total","summaries":[{"summary":["Ich l\u00f6se beide Klammern auf.","Ich l\u00f6se nur die linke Klammer auf.","Ich l\u00f6se nur die rechte Klammer auf."],"subContentId":"2f2ab080-1d3a-4f5c-a251-fdb1958a7848","tip":""},{"summary":["4 + x + 4 = 5 - x + 5","4 + x + 4 = 5 - x - 5","4 + x - 4 = 5 - x + 5"],"subContentId":"84c67011-db63-4e7c-8c39-2676ca9d77a1","tip":""},{"summary":["Ich fasse beide Seiten zusammen.","Ich subtrahiere auf beiden Seiten 5.","Ich addiere auf beiden Seiten 5."],"subContentId":"0b4d90a5-e900-4aae-9fa2-9bc775a8be0e","tip":""},{"summary":["8 + x = 10 - x","4 + x = 10 - x","8 + x = 10 + x"],"subContentId":"82b5cfaa-3c46-41bb-b197-ea9e50474bcc","tip":""},{"summary":["Ich addiere auf beiden Seite x.","Ich subtrahiere auf beiden Seiten x.","Ich dividiere beide Seiten durch x."],"subContentId":"1b2b80f6-7faf-46ba-8c95-a698c442a92d","tip":""},{"summary":["8 + 2x = 10","8 - 2x = 10","8 + 2x = 12"],"subContentId":"46a71a8c-c1e4-46d7-9913-a3733d689229","tip":""},{"summary":["Ich subtrahiere auf beiden Seiten 8.","Ich subtrahiere auf beiden Seiten 10.","Ich subtrahiere auf beiden Seiten 2x."],"subContentId":"ae5cad25-6053-4465-9747-3c9ab707cd15","tip":""},{"summary":["2x = 2","2x = 1","2x = 10"],"subContentId":"fbe34dd4-3a42-474c-bc1f-50140146092f","tip":""},{"summary":["Ich dividiere beide Seiten durch 2.","Ich dividiere beide Seiten durch 1.","Ich dividiere beide Seiten durch x."],"subContentId":"7473cd1b-01aa-4c45-8d95-bf1cf9c47ce0","tip":""},{"summary":["x = 1","x = 2","x = 0"],"subContentId":"913ab9ea-1df6-44d1-9611-a3df500b782e","tip":""}]},"library":"H5P.Summary 1.10","metadata":{"contentType":"Summary","license":"U","title":"Gleichung 2)","defaultLanguage":"de"},"subContentId":"a83c4d6b-a1b9-4607-9450-cd3ea8ba0603"},"useSeparator":"auto"},{"content":{"params":{"text":"

Aufgabe 3:
\nL\u00f6se die Gleichung: (x + 1)(x + 2) = (x + 3) (x - 2)<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"4ac4a8d8-aec1-4d18-8ad8-ccbe7439e781"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Wie lautet der n\u00e4chste Schritt?<\/p>\n","overallFeedback":[{"from":0,"to":100}],"solvedLabel":"Fortschritt:","scoreLabel":"Falsche Antworten:","resultLabel":"Dein Ergebnis","labelCorrect":"Richtig.","labelIncorrect":"Falsch! Bitte versuche es noch einmal.","alternativeIncorrectLabel":"Falsch","labelCorrectAnswers":"Richtige Antwort(en).","tipButtonLabel":"Tipp anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","progressText":"Fortschritt :num von :total","summaries":[{"summary":["Ich l\u00f6se auf beiden Seiten die Klammern.","Ich l\u00f6se nur auf der linken Seite die Klammern.","Ich l\u00f6se nur auf der rechten Seite die Klammern."],"subContentId":"fcdad234-ba56-4106-a648-5a5caf51b7ba","tip":""},{"summary":["x\u00b2 + 2x + x + 2 = x\u00b2 - 2x + 3x - 6","x\u00b2 + 2x + x - 2 = x\u00b2 - 2x + 3x - 6","x\u00b2 + 2x + x + 2 = x\u00b2 - 2x - 3x - 6"],"subContentId":"4ec06f3b-8a11-4044-b8ba-62313c8a293c","tip":""},{"summary":["Ich z\u00e4hle jeweils alle x an einer Seite zusammen.","Ich subtrahiere auf beiden Seiten 2.","Ich addiere auf beiden Seiten 6."],"subContentId":"274d4deb-4b4c-4f3b-90cc-ec0b6c728283","tip":""},{"summary":["x\u00b2 + 3x + 2 = x\u00b2 + x - 6","x\u00b2 + 3x - 2 = x\u00b2 + x - 6","x\u00b2 + 3x + 2 = x\u00b2 + x + 6"],"subContentId":"91cff7a5-9804-4882-a0df-1526ee6e27c6","tip":""},{"summary":["Ich subtrahiere auf beiden Seiten x\u00b2.","Ich subtrahiere auf beiden Seiten 3x.","Ich subtrahiere auf beiden Seiten 6."],"subContentId":"284ef2b4-75ce-4ada-bb60-0c8e48843987","tip":""},{"summary":["3x + 2 = x - 6","2x + 2 = x - 6","3x + 2 = - 6"],"subContentId":"599370a6-f4b7-4791-b87b-58a193e8fef4","tip":""},{"summary":["Ich subtrahiere auf beiden Seiten x.","Ich addiere auf beiden Seiten 6.","Ich multipliziere auf beiden Seiten mit 2."],"subContentId":"e6a95af1-4cda-480b-ba3c-d56a394f9611","tip":""},{"summary":["2x + 2 = -6","3x + 2 = -6","2x + 2 = -8"],"subContentId":"52e7c5e2-3459-427e-b194-5911fe41c6bf","tip":""},{"summary":["Ich subtrahiere auf beiden Seiten 2.","Ich addiere auf beiden Seiten 6.","Ich multipliziere auf beiden Seiten mit 6."],"subContentId":"88e28481-5bc7-4aaa-8b3e-b1092eb3d394","tip":""},{"summary":["2x = -8","2x = -4","2x = -6"],"subContentId":"0e1fe451-ecae-49db-965f-26235aaba9d0","tip":""},{"summary":["Ich dividiere beide Seiten durch 2.","Ich subtrahiere von beiden Seiten 2.","Ich multipliziere beide Seiten mit 3."],"subContentId":"3f68bfd8-b86d-40f2-ae90-dbe6848f8244","tip":""},{"summary":["x = -4","x = 4","x = 1"],"subContentId":"fee77874-e381-474a-9c6d-7da067018523","tip":""}]},"library":"H5P.Summary 1.10","metadata":{"contentType":"Summary","license":"U","title":"Gleichung 3)","defaultLanguage":"de"},"subContentId":"6268fd0a-427d-4b6b-a7cf-0b46e6c54c22"},"useSeparator":"auto"}]},"library":"H5P.Column 1.13","metadata":{"contentType":"Column","license":"U","title":"schwere Gleichungen","defaultLanguage":"de"},"subContentId":"5b89d284-dfcc-490c-b25c-eb26f1fa5e27"},{"params":{"content":[{"content":{"params":{"text":"

Aufgabe 1:
\nL\u00f6se die Gleichung: <\/strong><\/span>x : 5 = 2<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"97c67cf7-6933-48d0-a7fb-ef020891bb6b"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Ich multipliere beide Seiten mit 5.<\/p>\n","Ich subtrahiere von beiden Seiten 2.","Ich dividiere beide Seiten durch 5."],"subContentId":"f0524458-a4da-432d-a17e-ec79ce1bb1b8","tip":""},{"summary":["x = 10","x = 3","x = 2"],"subContentId":"02a5bf06-caa4-486a-983a-575abb255d9a","tip":""}]},"library":"H5P.Summary 1.10","metadata":{"contentType":"Summary","license":"U","title":"Gleichung 1)","defaultLanguage":"de"},"subContentId":"f823f47f-11b9-4fef-99b8-644e3d5bab05"},"useSeparator":"auto"},{"content":{"params":{"text":"

Aufgabe 2: <\/strong><\/span>
\nL\u00f6se die Gleichung: x\u00b2 = 25<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"6ccc1912-64a6-4639-9b8b-cd507ec8f2e1"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Aufgabe 3:
\nL\u00f6se die Gleichung: 2x + 5 = 2x +2<\/strong><\/span><\/p>\n"},"library":"H5P.AdvancedText 1.1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text","defaultLanguage":"de"},"subContentId":"306864ec-d316-415d-90cb-32d55586529c"},"useSeparator":"auto"},{"content":{"params":{"intro":"

Wie lautet der n\u00e4chste Schritt?<\/p>\n","overallFeedback":[{"from":0,"to":100}],"solvedLabel":"Fortschritt:","scoreLabel":"Falsche Antworten:","resultLabel":"Dein Ergebnis","labelCorrect":"Richtig.","labelIncorrect":"Falsch! Bitte versuche es noch einmal.","alternativeIncorrectLabel":"Falsch","labelCorrectAnswers":"Richtige Antwort(en).","tipButtonLabel":"Tipp anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","progressText":"Fortschritt :num von :total","summaries":[{"summary":["Ich subtrahiere von beiden Seiten 2x.","Ich dividiere beide Seiten durch 2.","Ich multipliziere beide Seiten mit 2."],"subContentId":"30b7a1f1-e58f-48e5-95e7-b4e01eeca6ec","tip":""},{"summary":["5 = 2","2 = 2","2x = 5"],"subContentId":"66610bc3-c0b7-4111-95bf-f4e71fa4f61a","tip":""},{"summary":["Diese Gleichung hat keine L\u00f6sung.","Jede Zahl ist eine L\u00f6sung dieser Gleichung.","Die L\u00f6sung dieser Gleichung ist 25."],"subContentId":"782f7cc3-0042-4a22-b258-1ae0e251a8f4","tip":""}]},"library":"H5P.Summary 1.10","metadata":{"contentType":"Summary","license":"U","title":"Gleichung 3)","defaultLanguage":"de"},"subContentId":"646798b1-f60e-4c1d-979b-5ea4839567f0"},"useSeparator":"auto"}]},"library":"H5P.Column 1.13","metadata":{"contentType":"Column","license":"U","title":"besondere Gleichungen","defaultLanguage":"de"},"subContentId":"b6ae9d7d-e0e6-4a87-afe3-dd649f9e8a12"}],"behaviour":{"defaultTableOfContents":true,"progressIndicators":true,"progressAuto":true,"displaySummary":true},"read":"\u00d6ffnen","displayTOC":"Inhaltsverzeichnis anzeigen","hideTOC":"Inhaltsverzeichnis ausblenden","nextPage":"N\u00e4chstes Kapitel","previousPage":"Vorheriges Kapitel","chapterCompleted":"Kapitel abgeschlossen!","partCompleted":"@pages von @total Kapiteln abgeschlossen","incompleteChapter":"Unvollst\u00e4ndiges Kapitel","navigateToTop":"Nach oben springen","markAsFinished":"Ich habe dieses Kapitel abgeschlossen","fullscreen":"Vollbild","exitFullscreen":"Vollbild beenden","bookProgressSubtext":"@count of @total pages","interactionsProgressSubtext":"@count of @total interactions","submitReport":"Submit Report","restartLabel":"Restart","summaryHeader":"Summary","allInteractions":"All interactions","unansweredInteractions":"Unanswered interactions","scoreText":"@score \/ @maxscore","leftOutOfTotalCompleted":"@left of @max interactions completed","noInteractions":"No interactions","score":"Score","summaryAndSubmit":"Summary & submit","noChapterInteractionBoldText":"You have not interacted with any pages.","noChapterInteractionText":"You have to interact with at least one page before you can see the summary.","yourAnswersAreSubmittedForReview":"Your answers are submitted for review!","bookProgress":"Book progress","interactionsProgress":"Interactions progress","a11y":{"progress":"Kapitel @page von @total.","menu":"Inhaltsverzeichnis ein- bzw. ausschalten"},"totalScoreLabel":"Total score"}

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