[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-267340-105":59,"doc-detail-267340-en":134},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":127,"head_meta":129,"extra_data":131,"updated_unix":133},105,"en","algebraadvanced-mathproblem-solving-drill-2","Algebra/Advanced Math/Problem Solving - Drill 2","","Practice drill worksheets focused on solving algebra and math application problems. Sections include inequalities with variables, polynomial and factorization reasoning, circle standard-form conversions, and expressions equivalence checks. Additional content emphasizes quantitative problem solving with density, energy unit conversions, 3D printer layer calculations, unit conversions for speed and distance, and geometry involving arcs, areas, and parallel lines. Multiple-choice questions dominate, with occasional student-response items requiring numeric answers.",{"@graph":69,"@context":126},[70,84,105],{"@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/algebraadvanced-mathproblem-solving-drill-2/267340/",{"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/algebraadvanced-mathproblem-solving-drill-2/267340.png","ImageObject",300,407,{"name":92,"@type":93},"Đào","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118,122],{"name":109,"@type":110,"acceptedAnswer":111},"What problem types are included in these Drill 2 worksheets?","Question",{"text":112,"@type":113},"They cover algebra inequalities, polynomial transformations and factoring, circle equation standard forms, and geometry with arcs and shaded areas. Some problems also require data analysis with unit conversions and real-world contexts.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are answers determined by choosing from options or writing a numeric response?",{"text":117,"@type":113},"Most questions are multiple-choice where the correct letter is circled. A separate Student-Response format appears for at least one question requiring a written number in a blank.",{"name":119,"@type":110,"acceptedAnswer":120},"How is circle equations practice handled in the drills?",{"text":121,"@type":113},"Students convert a given circle equation into standard form (x-h)²+(y-k)²=r² and then identify the center and radius from the resulting expression.",{"name":123,"@type":110,"acceptedAnswer":124},"What kind of real-world measurement problems appear in the problem-solving drill?",{"text":125,"@type":113},"Density and volume calculations, heat energy unit conversion from joules to calories, estimating 3D printer layer counts, computing speed in miles per hour from distance-time conversions, and totaling work hours from race pit-stop schedules.","https://schema.org",{"og:url":83,"og:type":128,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":130,"canonical":83},"index,follow",{"doc_id":132,"site_id":62},267340,1789417329,{"code":4,"msg":5,"data":135},{"doc_id":132,"user_id":136,"nickname":92,"user_avatar":137,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":138,"file_id":139,"file_url":140,"file_type":141,"file_size":142,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"language":143,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":144,"faqs":145,"seo_title":146,"seo_description":67,"update_tm":133,"read_time":147},1374402968488,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Heart of Algebra Drill 2  \nFor each question in this section,solve the problem and circle the letter of the answer that you think is the best of thechoices given.  \n1.If 3w\u003C27,then which of the following describes allpossible values of w?  \nA)w>9  \nB)w>7  \nC)w\u003C8  \nD)w\u003C9  \n2.If 61+2\u003C26,then which of the following is a pos-sible value for t?  \nA)3.5  \nB)4  \nC)4.5  \nD)5  \n3.Ifx>6(x-5),then which of the following must betrue?  \nA)x>6  \nB)x>5  \nC)x\u003C6  \nD)x\u003C-6  \n4.If-13≤-2z-3≤1,then which of the followingdescribes all possible values of z?  \nA)-5≤z≤2  \nB)-2≤z≤5  \nC)2≤z≤5  \nD)-5≤z≤-2  \n5.If 7s-14≤4+6s,which of the following must betrue?  \nA)s≥17  \nB)s≤18  \nC)s\u003C19  \nD)s\u003C18  \n6.If8\u003C-16-3c,which of the following describes allpossible values of c?  \nA)c>8  \nB)c>9  \nC)c\u003C-9  \nD)c\u003C-8  \n7.If,which of the following inequalitiesmust be true?  \nA)  \nB)  \nC)  \nD)  \n8.For all z such that z>0,the square of one-half z is.greater than 1 but less than 4.Which of the followinginequalities gives all possible values of z?  \nB)2\u003C2\u003C8  \nC)1\u003Cz\u003C16  \nD)2\u003Cz\u003C32  \n9.When selecting a scarf pattern to knit,Victoria wilonly choose a pattern that requires at least 480 rowsand no more than 520 rows.If r represents a numberof rows that she will not knit,an inequality thatrepresents all possible values ofr is  \nA)Ir-20I>20  \nB)Ir-500I>20  \nC)Ir-5001\u003C20  \nD)Ir+100I>20  \n# Passport to Advanced Math Drill 2\n\nFor each question in this section,solve the problem and circle the letter of the answer that you think is the best of thechoices given.  \n1.Cube A has a volume of 3 ft³.Cube B has a volumeof 9 ft³.Which of the following expresses the ratioof the side length of cube A to the side length ofcube B?  \n3:32  \nA)  \n3:33  \nB)  \n35:33  \nC)  \nD)3³:3⁵  \n2.2x³+4x²+2x=  \nA)2x(x-1)²  \nB)2(x+1)³  \nC)2x(x+1)²  \nD)x(x+2)²  \n3.4x²+12x+14=  \nA)(2x+6)²-18  \nB)(2x+3)²+5  \nC)(4x+3)²+5  \nD)(2x-3)²+5  \n4.The standard form of the equation of a circle is(x-h)²+(y-k)²=r²,where the center of the circleis at point(h,k)and the radius of the circle is r.Whatis the standard form of the equation of the circledefined by the equation x²+y²-6x+8y=0?  \nA)(x-6)²+(y+8)²=0  \nB)(x+3)²+(y+4)²=25  \nC)(x-3)²+(y+4)²=25  \nD)(x-3)²+(y+4)²=5  \n5.  \nA)³√x²+8y⁵  \nB)³√x²+512y⁵  \nc)³√x²+³√512y⁵  \nD)³√x²+2y⁵  \n6.Which of the following expressions is NOT equal to4x²-32x+64?  \nA)4(x²-8x+16)  \nB)(2x-8)²  \nC)4(x+4)(x-4)  \nD)4(x-4)²  \n7.Which of the following is equivalent tox²4-18x¹²+82?  \nA)(x¹²-x⁶√18)²+82  \nB)x²⁴+18x¹²-18x¹²+82  \nC)(x¹²-9)²+1  \nD)(x²-9)¹²+1  \n8.Which of the following accurately rewrites thein the form A·B'?  \nA)  \nB)  \nC)  \nD)  \nThis secion contains two types ofquestions.For multiple-choice questions,solve each problem and circle the letterof theanswer that you think is the bes of the choices given.For Student-Response questions,denoted by the grid-in icon,wvriteyour answer in the blank space provided.  \n1.The density of silver is 10.5 grams per cubiccentimeter.If a nugget of silver weighs  \n2,100 grams,what is the volume of the nug-get,in cubic centimeters?  \n2.One literof water has a mass of 1000 grams.If thereare 1000 milliliters in a liter,and 1 milliliter is equalto 1 cubic centimeter,what is the density of water,ingrams per cubic centimeter?  \nA)1  \nB)1.1  \nC)10  \nD)11  \n# Problem Solving and Data Analysis Drill 2\n\n3.A block of copper weighs 2,230 grams and measures10cm by 5 cm by 5 cm.Given that density is massdivided by volume,what is the density of copper ingrams per cubic centimeter?  \nA)0.11  \nB)8.92  \nC)44.6  \nD)89.2  \n4.One match releases approximately 1,100 joules ofheat energy when it is lit.If I joule equals 0.239calories,how many of these matches must be lit toproduce 2,100 calories of heat energy?  \nA)2  \nB)3  \nC)8  \nD)62  \n5.A certain 3D printer creates objects by buildinglayers on top of each other.The average layer thick-ness is 102μm(micrometers).There are 1,000,000micrometers in a meter,and 1 inch equals 0.0254meters.Approximately how many layers are neededto print an object one in","cbCairmDEtadRxvS","https://ap.wps.com/l/cbCairmDEtadRxvS","pdf",2632847,"English","# Heart of Algebra Drill 2\n## Inequality and variable practice\n# Passport to Advanced Math Drill 2\n## Polynomials, circles, and expressions\n# Problem Solving and Data Analysis Drill 2\n## Density, energy, units, and modeling\n# Additional Topics Drill 2\n## Expressions and geometry with arcs","[{\"question\":\"What problem types are included in these Drill 2 worksheets?\",\"answer\":\"They cover algebra inequalities, polynomial transformations and factoring, circle equation standard forms, and geometry with arcs and shaded areas. Some problems also require data analysis with unit conversions and real-world contexts.\"},{\"question\":\"Are answers determined by choosing from options or writing a numeric response?\",\"answer\":\"Most questions are multiple-choice where the correct letter is circled. A separate Student-Response format appears for at least one question requiring a written number in a blank.\"},{\"question\":\"How is circle equations practice handled in the drills?\",\"answer\":\"Students convert a given circle equation into standard form (x-h)²+(y-k)²=r² and then identify the center and radius from the resulting expression.\"},{\"question\":\"What kind of real-world measurement problems appear in the problem-solving drill?\",\"answer\":\"Density and volume calculations, heat energy unit conversion from joules to calories, estimating 3D printer layer counts, computing speed in miles per hour from distance-time conversions, and totaling work hours from race pit-stop schedules.\"}]","Algebra/Advanced Math/Problem Solving - Drill 2 | PDF",25]