[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-389806-105":59,"doc-detail-389806-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","practice-math-65-final-exam-part-i-no-calculator","Practice Math 65 Final Exam - Part I - No Calculator","","Practice Math 65 Final Exam includes two sections with clear calculator rules. Part I prohibits calculators and requires all work to be shown, with simplified fractions and closed-note, closed-book expectations. The problems focus on solving linear systems using graphing, addition, and substitution; evaluating a quadratic function; identifying functions with domain and range; completing function notation from a provided figure; and performing polynomial operations such as addition, subtraction, expansion, multiplication, factoring, radicals, rationals, and quadratic solution methods.",{"@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/practice-math-65-final-exam-part-i-no-calculator/389806/",{"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/practice-math-65-final-exam-part-i-no-calculator/389806.png","ImageObject",300,407,{"name":92,"@type":93},"Hazel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-09-25",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 are the rules for Part I regarding calculators and allowed materials?","Question",{"text":113,"@type":114},"Part I does not allow a calculator or any other electronic device. The exam is closed-note and closed-book, and all necessary work must be written on the exam.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are students expected to solve linear systems in Part I?",{"text":118,"@type":114},"Students use different methods depending on the problem: graphing, the addition method, and the substitution method, and must state the solution and solution set.",{"name":120,"@type":111,"acceptedAnswer":121},"What guidance is given for using a calculator in Part II?",{"text":122,"@type":114},"A calculator may be used only at the end of problem-solving to calculate decimal values, and where appropriate answers should be rounded to four significant digits.","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},389806,1790536691,{"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":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Name:   100 points  \nPractice Math 65 Final Exam  \nPart I: No Calculator  \nShow all your work so that:  \n􀀏 someone who wanted to know how you found your answer can clearly see how.  \n􀀏 if you make a mistake, I can see where it happened and determine how much partial credit you should be awarded.  \nYou may use scratch paper, but all necessary work must be written on this exam. Simplify all fractions as much as possible. The entire exam is closed-note, closed-book. You may not use your calculator or any other electronic device on this part of the exam. Take your time, because you have plenty to spare. Check your answers © .  \n1. Solve the following systems of linear equations by graphing. State your solution and your solution set for each problem. Check each answer.  \n8  \na) \u003Cy  \n: y  \n= ~~1~~2x  \n= 2x 􀀀 3  \n8  \nb) \u003C  \n:  \n2x 􀀀 3y = 12  \n2x + y = 4  \n2. Solve the system of equations using the addition method. State your solution and your solution  \nset.  \n8 \u003C 􀀀4x + 8y: 7x + 2y  \n= 0  \n= 􀀀8  \n3. Solve the system of equations using the substitution method. State your solution and your  \nsolution set.  \n8 \u003C  \n:  \n4x + y = 5 12x + 3y = 15  \n4. Let f (x) = x2 􀀀 4x + 3 . Calculate the following.  \na) f (2) b) f (0) c) f (􀀀3)  \n5. Determine if the following relations are functions. Then state the domain and range of each relation.  \na) f(1 ; 3) ; (2 ; 5) ; (4 ; 5)g b) f(1 ; 1) ; (1 ; 4) ; (3 ; 9)g  \nPractice Math 65 Final Exam  \n6. Using appropriate function notation, complete the following for the function h in Figure 1 .  \na) Find h(0) .  \nb) What is the function value at 􀀀4?  \nc) What is the solution to the equation h (x) = 􀀀1?  \nd) Find the equation of the line in Figure 1 and write the equation in slopeintercept form.  \ne) Write the formula for h (x) .  \n\n|  |  |  |  |  |  y |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| | |  |  |  |  |  |  |  |  |  |  |\n|  |  | | |  |  |  |  |  |  |  |  |\n|  |  |  |  | | |  |  |  |  |  |  |\n|  |  |  |  |  |  | | |  |  |  | x |\n|  |  |  |  |  |  |  |  | | |  |  |\n|  | 􀀀 | 4 | 􀀀 | 2 |  |  |  |  |  | | \u003Cbr>|\n|  |  |  |  | 􀀀 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 􀀀 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n\n2 4  \n4  \n4  \n2  \n2  \nFigure 1 . y = h(x)  \n7. Add or subtract the following polynomials.  \na) (6x3 + 5x2 􀀀 7x) 􀀀 (9x3 + x2 􀀀 6x) b) (5y3 􀀀 9y2 􀀀 4) + (3y3 􀀀 12y2 􀀀 5)  \nc) (5x2 y 3 􀀀 xy + 4y2 ) + (8x2 y 3 􀀀 6xy 􀀀 2y2 )  \n8. Multiply/expand and fully simplify each polynomial.  \na) (3x + 7)(2x 􀀀 5) b) 2x3 (4x5 􀀀 5x2 )  \nc) (2x 􀀀 3)2 d) (4x 􀀀 3)(4x + 3)  \ne) (3x + 2)(6x2 􀀀 4x + 2)  \n9. Write the following in scienti􀀌c notation.  \na) 250 ; 000 b) (5 􀀂 10􀀀2) (6 􀀂 105 )  \n10. Simplify the following expressions.  \na) x2 x5 b) (􀀀3x5 )􀀀2 y 2   6x5 + 4x3 + 10x2  \nc) y 10 d) 2x2 e) (x2 )5 f) (􀀀2x2 )0 g) 􀀒 2x􀀓 􀀀1 h) 􀀒 8x54x3 􀀓 3  \n11. Factor the following expressions completely. If the expression is prime, give appropriate justi-􀀌cation. You are encouraged (but not required) to check your answers.  \na) x2 + 9x + 20 b) 3x2 􀀀 7x 􀀀 6 c) 4x2 + 4x + 4  \nd) x2 􀀀 5x 􀀀 5 e) 3x2 􀀀 9x + 6 f) 9x2 􀀀 6x + 1  \n12. Factor the following expressions completely. If the expression is prime, give appropriate justi-􀀌cation. You are encouraged (but not required) to check your answers.  \na) 18xy2 􀀀 8x b) 2x3 􀀀 18x c) 64x2 􀀀 25 d) 2x3 + 18x  \nPractice Math 65 Final Exam  \n13. Simplify the following radical expressions as much as possible.  \na) p32 b) p50 +p75 c) p300 d) p48 +p75  \n14. Rationalize the denominator.  \na)  2  b)  6   \np 8 p 5  \n15. Solve the following quadratic equations by factoring. State the solution set and check your answer.  \na) x2 􀀀 2x 􀀀 15 = 0 b) y (y + 8) = 16(y 􀀀 1)  \n16. Solve the following quadratic equations using the square root property. State the solution set.  \na) 4y2 = 49 b) (x 􀀀 5)2 = 9  \n17. Solve the following quadratic equations using the quadratic formula. ","cbCaisTlMv345tOi","https://ap.wps.com/l/cbCaisTlMv345tOi","pdf",190089,"English","# Part I: No Calculator\n## Linear systems and functions\n## Polynomials, radicals, and rational expressions\n## Quadratics and graphing parabolas\n# Part II: Calculator Permitted\n## Word problems and modeling\n## Rounding and irrational numbers","[{\"question\":\"What are the rules for Part I regarding calculators and allowed materials?\",\"answer\":\"Part I does not allow a calculator or any other electronic device. The exam is closed-note and closed-book, and all necessary work must be written on the exam.\"},{\"question\":\"How are students expected to solve linear systems in Part I?\",\"answer\":\"Students use different methods depending on the problem: graphing, the addition method, and the substitution method, and must state the solution and solution set.\"},{\"question\":\"What guidance is given for using a calculator in Part II?\",\"answer\":\"A calculator may be used only at the end of problem-solving to calculate decimal values, and where appropriate answers should be rounded to four significant digits.\"}]","Practice Math 65 Final Exam - Part I - No Calculator | PDF",1790327729,15]