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It explains terms, coefficients, like terms, and constants, then provides worked examples showing distribution, multiplying through parentheses, reordering, and simplifying. Practice problems cover writing equivalent expressions, combining like terms across multiple algebraic forms, and evaluating algebraic expressions by substituting given variable values.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/8th-grade-summer-math-packet-expressions-equations-distributive-property-and-combining-like-terms/400192/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/8th-grade-summer-math-packet-expressions-equations-distributive-property-and-combining-like-terms/400192.png","ImageObject",300,407,{"name":92,"@type":93},"Mia  ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What should students do in their separate TACHS composition notebook?","Question",{"text":113,"@type":114},"Show all work in the separate TACHS composition notebook. Label each section and test clearly, and do not write in the TACHS book itself.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the goal for the Expressions & Equations packet section?",{"text":118,"@type":114},"Use the distributive property to generate equivalent expressions and expand/simplify linear expressions by combining like terms.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you evaluate an algebraic expression in this packet?",{"text":122,"@type":114},"Replace variables with the given values, then compute and simplify to find the expression’s value.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},400192,1790674315,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":41,"preview_page_count":4},687207024478,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","8th GRADE TACHS 2025 MATH SUMMER ASSIGNMENT:  \nYou will need a separate TACHS composition notebook!  \nMath Packet Included  \nSHOW ALL WORKIN YOUR SEPARATE TACHS COMPOSTION NOTEBOOKLABEL CLEARLY EACH SECTION AND TESTDO NOT WRITE IN THE TACHS BOOK  \nYOU WILL BE GIVEN A DIAGNOSTIC TACHS TEST DURING THE 1ST WEEK OFSCHOOL which will count towards the 1stmarking period in MATH.  \n8th Grade-Summer Math Packet  \n\n| Domain:EXPRESSIONS &EQUATIONS  \u003Cbr>CCRS Standards:  \u003Cbr>7-Apply properties of operations as strategies to add,subtract,factor,and expand linear expressions with rational  \u003Cbr>coefficients.  \u003Cbr>Objective:Use the distributive property to generate equivalent expressions.  \u003Cbr>The distributive property of multiplication over addition states:a(b+c)=a·b+a·c or a(b+c)=ab+ac.  \u003Cbr>a(b-c)=a·b-a·c or a(b-c)=ab-ac.  \u003Cbr>The same is true for subtraction:  \u003Cbr>Examples:  \u003Cbr>1.-3(-2x+5)=(-3)·-2x+(-3)·5 Distribute 3 through the parentheses;Multiply-3 by-2x&multiply-3 by 5.  \u003Cbr>Simplify  \u003Cbr>=6x-15  \u003Cbr>Distribute 4 through the parentheses;Multiply 4 by 5a and multiply 4 by 9b.  \u003Cbr>2.4(5a-9b)=4·5a-4·9b  \u003Cbr>=20a-36b   |  |\n| --- | --- |\n| 1.Use the distributive property to write an equivalent  \u003Cbr>expression.  \u003Cbr>-2(n+7)   | 2.Use the distributive property to write an equivalent  \u003Cbr>expression.  \u003Cbr>-8(3p-1)   |\n| 3.Use the distributive property to write an equivalent  \u003Cbr>expression.  \u003Cbr>7(-4m+5)   | 4.Use the distributive property to write an equivalent  \u003Cbr>expression.  \u003Cbr>11(-x-5)   |\n| 5.Use the distributive property to write an equivalent  \u003Cbr>expression.  \u003Cbr>-(-3k-4)   | 6.Use the distributive property to write an equivalent  \u003Cbr>expression.  \u003Cbr>-6(5z+12)   |\n\n8th Grade-Summer Math Packet  \nDomain:EXPRESSIONS &EQUATIONS  \nCCRS Standards:  \n7-Apply properties of operations as strategies to add,subtract,factor,and expand linear expressions with rationalcoefficients.  \n# Objective:Combine like terms.\n\n\n| Definition   | llustration on  \u003Cbr>2x+5x-3y+1   |\n| --- | --- |\n| Terms are separated by addition or subtraction.  \u003Cbr>A coefficient is the number multiplied by a variable in a term.  \u003Cbr>Like terms have exactly the same variable.  \u003Cbr>A constant is a numerical term that does not have a variable.   | 2x,5x,3y,and 1 are terms.  \u003Cbr>2,5,and 3 are coefficients.  \u003Cbr>2x and 5x are like terms.  \u003Cbr>1 is a constant term.   |\n| **Like terms can be combined by adding or subtracting their coefficients   |  |\n\n# Examples:\n\n1.Combine like terms:5x+x-7y5x+x-7y二original problem5x+1x-7y二When a coefficient is not visible,it is 1.(5+1)x-7y=6x-7yAdd coefficients of like terms(5xand 1x);-7y remains unchanged.  \n2.Combine like terms:12r+5+3r-512r+5+3r-5original problem12r+3r+5-5reorder terms(12+3)r+5-5add coefficients oflike terms(12r and 3r);add constants (5 and-5)15r+0=15rsimplify  \n\n| 1.)Combine like terms:  \u003Cbr>-2x+11+6x   | 2.)Combine like terms:  \u003Cbr>9a-6a+4b   |\n| --- | --- |\n| 3.)Combine like terms:  \u003Cbr>-3x+15x-9+4   | 4.)Combine like terms:  \u003Cbr>6-7n-2n-8   |\n| 5.)Combine like terms:  \u003Cbr>7m-2m+4n+n   | 6.)Combine like terms:  \u003Cbr>11a +7b-15a-5b   |\n\n8th Grade-Summer Math Packet  \n\n| Domain:EXPRESSIONS &EQUATIONS  \u003Cbr>CCRS Standards:  \u003Cbr>7-Apply properties of operations as strategies to add,subtract,factor,and expand linear expressions with rational  \u003Cbr>coefficients.  \u003Cbr>Objective:Expand linear expressions with the distributive property and simplify the expressions by combining like  \u003Cbr>terms.  \u003Cbr>Examples:  \u003Cbr>1.Distribute and simplify:-4+6(-4x+3)  \u003Cbr>-4+6(-4x+3)   =  \u003Cbr>original problem  \u003Cbr>4+6·-4x+6·3 =  \u003Cbr>distribute 6 through(-4x+3)  \u003Cbr>-4 -24x +18 =  \u003Cbr>multiply 6 by-4x,and multiply 6 by 3  \u003Cbr>-24x-4-18  \u003Cbr>reorder  \u003Cbr>-24x-22  \u003Cbr>combine like terms(add constants-4 and-18)  \u003Cbr>2.Distribute and simplify:-(-3n+2)-2n  \u003Cbr>original problem  \u003Cbr>-(-3n+2)-2n  \u003Cbr>-1(-3n+2)-2n  \u003Cbr>the opposite sign before the parentheses represents-1  \u003Cbr>-1·-3n+-1·2-2n  \u003Cbr>distribute-1 through (-3n+2)  \u003Cbr>3n -2 -2n  \u003Cbr>multiply-1 ","cbCainwXb0yhR6Sp","https://ap.wps.com/l/cbCainwXb0yhR6Sp","pdf",543042,12,"English","# Domain: Expressions & Equations\n## Distributive Property and Equivalent Expressions\n## Objective: Combine Like Terms\n## Examples: Distribute and Simplify\n## Objective: Evaluate Algebraic Expressions","[{\"question\":\"What should students do in their separate TACHS composition notebook?\",\"answer\":\"Show all work in the separate TACHS composition notebook. Label each section and test clearly, and do not write in the TACHS book itself.\"},{\"question\":\"What is the goal for the Expressions \\u0026 Equations packet section?\",\"answer\":\"Use the distributive property to generate equivalent expressions and expand/simplify linear expressions by combining like terms.\"},{\"question\":\"How do you evaluate an algebraic expression in this packet?\",\"answer\":\"Replace variables with the given values, then compute and simplify to find the expression’s value.\"}]","8th Grade - Summer Math Packet - Expressions & Equations - Distributive Property and Combining Like Terms | PDF",1790508901]