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Covers four problems that convert quantities like 9×(3+5+8), 5×(7+8+8), 7×(6+4+6), and 9×(4+8+9) into correct equivalent expanded expressions.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/expanding-an-expression-with-the-distributive-property-determine-equivalent-expressions-answer-key/480602/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/expanding-an-expression-with-the-distributive-property-determine-equivalent-expressions-answer-key/480602.png","ImageObject",300,407,{"name":42,"@type":43},"Mary Man","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the distributive property mean in these problems?","Question",{"text":62,"@type":63},"It allows the product a×(b+c) to be rewritten as a×b + a×c, keeping the value equivalent.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you choose the correct answer among A–D?",{"text":67,"@type":63},"Compute the equivalent expanded form that matches the product’s distributive breakdown, then select the option that is equal.",{"name":69,"@type":60,"acceptedAnswer":70},"What types of word problems are used here?",{"text":71,"@type":63},"The problems use real contexts like kits, treat bags, pencil cases, and model cars to represent totals as expressions such as 9×(3+5+8).","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},480602,1792993803,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},7421720224475,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Expanding an Expression with the Distributive Property (Word) Name:  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Gwen assembled 9 craft kits. In each kit she put 3 beads, 5 buttons, and 8 feathers. Gwen wrote this expression to show the total number of pieces in the kits.\u003Cbr>9 × (3 + 5 + 8)\u003Cbr>A. (9 × 3) × (9 × 5) × (9 × 8) B. (9 + 3) + (9 + 5) + (9 + 8)\u003Cbr>C. (9 × 3) + (5 + 8) D. (9 × 3) + (9 × 5) + (9 × 8) | Answers |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| 2) Lana filled 5 treat bags for the fair. She put 7 lollipops, 8 gumballs, and 8 caramels in each bag. Lana wrote this expression to show the total number of candies she used.\u003Cbr>5 × (7 + 8 + 8)\u003Cbr>A. (5 + 7) + (5 + 8) + (5 + 8) B. (5 × 7) × (5 × 8) × (5 × 8)\u003Cbr>C. (5 × 7) + (8 + 8) D. (5 × 7) + (5 × 8) + (5 × 8) |  |  |  |  |\n| 3) Janet filled 7 pencil cases. She put 6 pens, 4 erasers, and 6 rulers in each case. Janet wrote this expression to show the total number of items she put in the cases.\u003Cbr>7 × (6 + 4 + 6)\u003Cbr>A. (7 × 6) × (7 × 4) × (7 × 6) B. (7 × 6) + (4 + 6)\u003Cbr>C. (7 + 6) + (7 + 4) + (7 + 6) D. (7 × 6) + (7 × 4) + (7 × 6) |  |  |  |  |\n| 4) George built 9 model cars. He used 4 red wheels, 8 blue wheels, and 9 black wheels on each car. George wrote this expression to show the total number of wheels he used.\u003Cbr>9 × (4 + 8 + 9)\u003Cbr>A. (9 + 4) + (9 + 8) + (9 + 9) B. (9 × 4) + (9 × 8) + (9 × 9)\u003Cbr>C. (9 × 4) + (8 + 9) D. (9 × 4) × (9 × 8) × (9 × 9) |  |  |  |  |\n| 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 4)[ 4](www.CommonCoreSheets.com 4)  \nMath  \n Expanding an Expression with the Distributive Property (Word) Name: Answer Key  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Gwen assembled 9 craft kits. In each kit she put 3 beads, 5 buttons, and 8 feathers. Gwen wrote this expression to show the total number of pieces in the kits.\u003Cbr>9 × (3 + 5 + 8)\u003Cbr>A. (9 × 3) × (9 × 5) × (9 × 8) B. (9 + 3) + (9 + 5) + (9 + 8)\u003Cbr>C. (9 × 3) + (5 + 8) D. (9 × 3) + (9 × 5) + (9 × 8) | Answers |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | 1.  D \u003Cbr>2.  D \u003Cbr>3.  D \u003Cbr>4.  B  |  |  |  |\n| 2) Lana filled 5 treat bags for the fair. She put 7 lollipops, 8 gumballs, and 8 caramels in each bag. Lana wrote this expression to show the total number of candies she used.\u003Cbr>5 × (7 + 8 + 8)\u003Cbr>A. (5 + 7) + (5 + 8) + (5 + 8) B. (5 × 7) × (5 × 8) × (5 × 8)\u003Cbr>C. (5 × 7) + (8 + 8) D. (5 × 7) + (5 × 8) + (5 × 8) |  |  |  |  |\n| 3) Janet filled 7 pencil cases. She put 6 pens, 4 erasers, and 6 rulers in each case. Janet wrote this expression to show the total number of items she put in the cases.\u003Cbr>7 × (6 + 4 + 6)\u003Cbr>A. (7 × 6) × (7 × 4) × (7 × 6) B. (7 × 6) + (4 + 6)\u003Cbr>C. (7 + 6) + (7 + 4) + (7 + 6) D. (7 × 6) + (7 × 4) + (7 × 6) |  |  |  |  |\n| 4) George built 9 model cars. He used 4 red wheels, 8 blue wheels, and 9 black wheels on each car. George wrote this expression to show the total number of wheels he used.\u003Cbr>9 × (4 + 8 + 9)\u003Cbr>A. (9 + 4) + (9 + 8) + (9 + 9) B. (9 × 4) + (9 × 8) + (9 × 9)\u003Cbr>C. (9 × 4) + (8 + 9) D. (9 × 4) × (9 × 8) × (9 × 9) |  |  |  |  |\n| 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 4)[ 4](www.CommonCoreSheets.com 4)  \nMath  \n Expanding an Expression with the Distributive Property (Word) Name:  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Gwen assembled 9 craft kits. In each kit she put 3 beads, 5 buttons, and 8 feathers. Gwen wrote this expression to show the total number of pieces in the kits.\u003Cbr>9 × (3 + 5 + 8)\u003Cbr>A. (9 × 3) × (9 × 5) × (9 × 8) B. (9 + 3) + (9 + 5) + (9 + 8)\u003Cbr>C. (9 × 3) + (5 + 8) D. (9 × 3) + (9 × 5) + (9 × 8) |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| 2) Lana filled 5 treat bags for the fair. She put 7 lollipops, 8 gumballs, and 8 caramels in each bag. Lana wr","cbCaiqhuVAYNFcvr","https://ap.wps.com/l/cbCaiqhuVAYNFcvr","pdf",42871,"English","# Determine Equivalent Expressions\n## Problem 1: Craft kits\n## Problem 2: Treat bags\n## Problem 3: Pencil cases\n## Problem 4: Model cars","[{\"question\":\"What does the distributive property mean in these problems?\",\"answer\":\"It allows the product a×(b+c) to be rewritten as a×b + a×c, keeping the value equivalent.\"},{\"question\":\"How do you choose the correct answer among A–D?\",\"answer\":\"Compute the equivalent expanded form that matches the product’s distributive breakdown, then select the option that is equal.\"},{\"question\":\"What types of word problems are used here?\",\"answer\":\"The problems use real contexts like kits, treat bags, pencil cases, and model cars to represent totals as expressions such as 9×(3+5+8).\"}]","Expanding an Expression with the Distributive Property - Determine Equivalent Expressions - Answer Key | PDF",1790795269]