Страница 77 - гдз по алгебре 9 класс дидактические материалы Мерзляк, Полонский

Алгебра, 9 класс Дидактические материалы, авторы: Мерзляк Аркадий Григорьевич, Полонский Виталий Борисович, Рабинович Ефим Михайлович, Якир Михаил Семёнович, издательство Просвещение, Москва, 2015, голубого цвета

Авторы: Мерзляк А. Г., Полонский В. Б., Рабинович Е. М., Якир М. С.

Тип: Дидактические материалы

Серия: алгоритм успеха

Издательство: Просвещение

Год издания: 2015 - 2026

Цвет обложки: голубой

ISBN: 978-5-09-079540-1

Cтраница 77

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            "edition" => Illuminate\Database\Eloquent\Collection {#1063}
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      ]
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    "next" => Illuminate\Database\Eloquent\Collection {#5845
      #items: array:1 [
        0 => App\Models\BookPage {#5844
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #attributes: array:21 [
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            "field_display_title" => "78"
            "field_folder" => "1"
            "field_image_name" => "78"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5861
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5860
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
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            }
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#5859
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#5999
              #items: array:1 [
                0 => App\Models\Element {#5992
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
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            "previous" => array:2 [
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            "tasks" => Illuminate\Database\Eloquent\Collection {#5858
              #items: array:9 [
                0 => App\Models\Task {#5884
                  #connection: "mysql"
                  #table: "tasks"
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                  +incrementing: true
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#5968
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#5870
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +timestamps: true
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                  #hidden: []
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                }
                3 => App\Models\Task {#5883
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +timestamps: true
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                  #hidden: []
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                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#6042
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
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                  +timestamps: true
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                  #hidden: []
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                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#6054
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:24 [ …24]
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                  +timestamps: true
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                  #hidden: []
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                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                6 => App\Models\Task {#6066
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +preventsLazyLoading: false
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                  +exists: true
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                  #attributes: array:24 [ …24]
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                  #attributeCastCache: []
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                  +timestamps: true
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                  #hidden: []
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                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                7 => App\Models\Task {#6078
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
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                  +exists: true
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                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                8 => App\Models\Task {#6090
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
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            "field_display_title" => "78"
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            "field_image_name" => "78"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5861}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5860}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
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            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#5859}
            "content" => Illuminate\Database\Eloquent\Collection {#5999}
            "next" => array:2 [
              "refs" => "1358284"
              "type" => "book_page"
            ]
            "previous" => array:2 [
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            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#5858}
          ]
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            0 => "*"
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      ]
      #escapeWhenCastingToString: false
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    "previous" => Illuminate\Database\Eloquent\Collection {#5840
      #items: array:1 [
        0 => App\Models\BookPage {#5839
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          +exists: true
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          #attributes: array:21 [
            "id" => 1358281
            "created_at" => "2026-04-10 13:58:26"
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            "field_display_title" => "76"
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            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5841
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5842
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#5843
              #items: []
              #escapeWhenCastingToString: false
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            "content" => Illuminate\Database\Eloquent\Collection {#5853
              #items: array:1 [
                0 => App\Models\Element {#5852
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1358280"
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            "tasks" => Illuminate\Database\Eloquent\Collection {#5846
              #items: array:8 [
                0 => App\Models\Task {#5864
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Task {#5939
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
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                  +timestamps: true
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                  #hidden: []
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                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Task {#5932
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                3 => App\Models\Task {#5919
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                4 => App\Models\Task {#5941
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                5 => App\Models\Task {#5897
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                6 => App\Models\Task {#6012
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                7 => App\Models\Task {#6005
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
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                  +timestamps: true
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
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            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "76"
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/page-76"
            "field_display_title" => "76"
            "field_folder" => "1"
            "field_image_name" => "76"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#5841}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#5842}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#5843}
            "content" => Illuminate\Database\Eloquent\Collection {#5853}
            "next" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1358280"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#5846}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009
      #items: array:5 [
        0 => App\Models\Task {#1058
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1357897
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_page_end" => null
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/upr3-21"
            "field_display_title" => "21"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1069
              #items: array:1 [
                0 => App\Models\Term {#1065
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1071
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1081
              #items: array:1 [
                0 => App\Models\Branch {#1080
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1115
              #items: array:3 [
                0 => App\Models\Branch {#1125
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Branch {#1129
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                2 => App\Models\Branch {#1133
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1072
              #items: array:2 [
                0 => App\Models\Element {#1107
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1106
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1357898"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1357896"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1110
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1357897
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_page_end" => null
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/upr3-21"
            "field_display_title" => "21"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1069}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1071}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1081}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1115}
            "content" => Illuminate\Database\Eloquent\Collection {#1072}
            "next" => array:2 [
              "refs" => "1357898"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1357896"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1110}
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Task {#1113
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1357898
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_page_end" => null
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/upr3-22"
            "field_display_title" => "22"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1122
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1108
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1111
              #items: array:1 [
                0 => App\Models\Branch {#1125}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1073
              #items: array:3 [
                0 => App\Models\Branch {#1125}
                1 => App\Models\Branch {#1129}
                2 => App\Models\Branch {#1133}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1077
              #items: array:2 [
                0 => App\Models\Element {#1090
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1089
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1357899"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1357897"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1099
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1357898
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_page_end" => null
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/upr3-22"
            "field_display_title" => "22"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1122}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1108}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1111}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1073}
            "content" => Illuminate\Database\Eloquent\Collection {#1077}
            "next" => array:2 [
              "refs" => "1357899"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1357897"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1099}
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Task {#1103
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1357899
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_page_end" => null
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/upr3-23"
            "field_display_title" => "23"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1112
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1088
              #items: []
              #escapeWhenCastingToString: false
            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1098
              #items: array:1 [
                0 => App\Models\Branch {#1125}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1102
              #items: array:3 [
                0 => App\Models\Branch {#1125}
                1 => App\Models\Branch {#1129}
                2 => App\Models\Branch {#1133}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1104
              #items: array:2 [
                0 => App\Models\Element {#1117
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [ …7]
                  #original: array:7 [ …7]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1118
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
                  #original: array:6 [ …6]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1357900"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1357898"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1121
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
          ]
          #original: array:24 [
            "id" => 1357899
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "77"
            "field_page_end" => null
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/upr3-23"
            "field_display_title" => "23"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1112}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1088}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1098}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1102}
            "content" => Illuminate\Database\Eloquent\Collection {#1104}
            "next" => array:2 [
              "refs" => "1357900"
              "type" => "task"
            ]
            "previous" => array:2 [
              "refs" => "1357898"
              "type" => "task"
            ]
            "book" => Illuminate\Database\Eloquent\Collection {#1121}
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        3 => App\Models\Task {#1085
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
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            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1078
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            "content" => Illuminate\Database\Eloquent\Collection {#1068
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                  #guarded: array:1 [ …1]
                }
                1 => App\Models\Element {#1153
                  #connection: "mysql"
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                  #primaryKey: "id"
                  #keyType: "int"
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [ …6]
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                  +timestamps: true
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                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1357901"
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            "previous" => array:2 [
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              "type" => "task"
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            "book" => Illuminate\Database\Eloquent\Collection {#1148
              #items: array:1 [
                0 => App\Models\Book {#1015}
              ]
              #escapeWhenCastingToString: false
            }
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
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            "field_page_start" => "77"
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            "field_display_title" => "24"
            "field_outside_task" => null
            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1100}
            "field_metatags_title" => null
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            "field_h1" => null
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            "field_description_bottom" => null
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            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1119}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1116}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1078}
            "content" => Illuminate\Database\Eloquent\Collection {#1068}
            "next" => array:2 [
              "refs" => "1357901"
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            "previous" => array:2 [
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            "book" => Illuminate\Database\Eloquent\Collection {#1148}
            "page" => array:2 [
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              "type" => "book_page"
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            0 => "*"
          ]
        }
        4 => App\Models\Task {#1136
          #connection: "mysql"
          #table: "tasks"
          #primaryKey: "id"
          #keyType: "int"
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            "field_display_title" => "25"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1114
              #items: array:1 [
                0 => App\Models\Term {#1065}
              ]
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            }
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            }
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1141
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                0 => App\Models\Branch {#1125}
              ]
              #escapeWhenCastingToString: false
            }
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1140
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                0 => App\Models\Branch {#1125}
                1 => App\Models\Branch {#1129}
                2 => App\Models\Branch {#1133}
              ]
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1138
              #items: array:2 [
                0 => App\Models\Element {#1163
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
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                1 => App\Models\Element {#1165 …30}
              ]
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            "book" => Illuminate\Database\Eloquent\Collection {#1160
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                0 => App\Models\Book {#1015}
              ]
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            "field_page_end" => null
            "field_url" => "/9-klass/algebra/merzljak-didakticheskie-materialy/upr3-25"
            "field_display_title" => "25"
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            "field_task_type" => Illuminate\Database\Eloquent\Collection {#1114}
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            "field_metatags_description" => null
            "field_h1" => null
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            "field_match" => null
            "breadcrumbs" => []
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1150}
            "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1141}
            "parent_branches" => Illuminate\Database\Eloquent\Collection {#1140}
            "content" => Illuminate\Database\Eloquent\Collection {#1138}
            "next" => array:2 [
              "refs" => "1357902"
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            "previous" => array:2 [
              "refs" => "1357900"
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            "book" => Illuminate\Database\Eloquent\Collection {#1160}
            "page" => array:2 [
              "refs" => "1358282"
              "type" => "book_page"
            ]
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  ]
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    "id" => 1358282
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    "field_display_title" => "77"
    "field_folder" => "1"
    "field_image_name" => "77"
    "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1008}
    "field_weight" => "0"
    "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1016}
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    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1007}
    "content" => Illuminate\Database\Eloquent\Collection {#1053}
    "next" => array:2 [
      "refs" => "1358283"
      "type" => "book_page"
    ]
    "previous" => array:2 [
      "refs" => "1358281"
      "type" => "book_page"
    ]
    "tasks" => Illuminate\Database\Eloquent\Collection {#1009}
  ]
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  #hidden: []
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  #guarded: array:1 [
    0 => "*"
  ]
}
Алгебра, 9 класс Дидактические материалы, авторы: Мерзляк Аркадий Григорьевич, Полонский Виталий Борисович, Рабинович Ефим Михайлович, Якир Михаил Семёнович, издательство Просвещение, Москва, 2015, голубого цвета, страница 77
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