[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-451183-105":59,"doc-detail-451183-en":123},{"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":116,"head_meta":118,"extra_data":120,"updated_unix":122},105,"en","algebra-2-l179-practice-test","algebra-2-L179 - practice test","","Practice test focused on Algebra 2 skills, covering solving and evaluating polynomial, radical, exponential, logarithmic, and rational expressions; analyzing function behavior such as intercepts, asymptotes, and graph transformations; working with systems of equations and circle equations; and applying exponential growth/decay modeling. Also includes sequence and data/statistics problems (geometric-style growth, mean/median, and probability/estimation using sample results), with instruction to check for extraneous solutions where required.",{"@graph":69,"@context":115},[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/algebra-2-l179-practice-test/451183/",{"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/algebra-2-l179-practice-test/451183.png","ImageObject",300,407,{"name":92,"@type":93},"Kyle","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109],{"name":110,"@type":111,"acceptedAnswer":112},"What real-world application modeling appears in the test?","Question",{"text":113,"@type":114},"A bear population problem models exponential decay with an interest-style question about doubling a deposited balance using exponential growth, both requiring forming an exponential function and interpreting parameters.","Answer","https://schema.org",{"og:url":83,"og:type":117,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":119,"canonical":83},"index,follow",{"doc_id":121,"site_id":62},451183,1790766425,{"code":4,"msg":5,"data":124},{"doc_id":121,"user_id":125,"nickname":92,"user_avatar":126,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":127,"file_id":128,"file_url":129,"file_type":130,"file_size":131,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":132,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":133,"faqs":134,"seo_title":135,"seo_description":67,"update_tm":136,"read_time":52},3985741905716,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","This is a practice test for your final exam. It is usually a good practice to take a practice test just like a real exam. Read the directions in Lesson 180. When you are ready, begin the test.  \n1. 3|􀝔 − 1| +4 = 7  \nWhat is the sum of the solutions to the equation above?  \n2. A line is parallel to 2􀝔 − 􀝕 = 1 and passes through (−1, 2) . If the line has a 􀝔-intercept of 􀜽 and a 􀝕-intercept of 􀜾 , what is the value of 􀜽 + 􀜾 ?  \n3. 􀝕 = 􀝔 − 5 2􀝔 + 􀝕 = 4  \nIf (􀝔, 􀝕) satisfies the system of equations above, what is the value of 􀝔 + 􀝕 ?  \n4. (􀝔 − 2)(􀝔 +3) = 5􀝔 − 1  \nIf 􀝌 and 􀝍 are two solutions to the  \nequation above, what is the value of 􀝌􀝍 ?  \n5. 􀝂 (􀝔) = 􀝔 ଶ (􀝔 +2)(􀝔 − 4)  \nOver which interval is the function above negative? Select all that apply.  \nA) ( −∞, −2) B) (−2, 0)  \nC) (0, 4) D) (4, ∞)  \n(5􀝔ଶ)(2􀝔ଷ )ଶ  \n6. ~~ ~~  \n(􀝔ଷ)ସ  \nIf the expression above is written in the form 􀜽􀝔௞ , what is the value of 􀜽/􀝇 ?  \n7. 4௫ିଵ = 8௫  \nWhat value of 􀝔 satisfies the equation above?  \n8. 􀝂 (􀝔) = 2ି௫ +1  \nWhich statement is true about the function above? Select all that apply.  \nA) The 􀝕-intercept is 1.  \nB) The asymptote is 􀝕 = 1 .  \nC) As 􀝔 increases, 􀝂(􀝔) decreases.  \nD) The graph is in Quadrants III and IV.  \nE) The graph is the same as the graph of 􀝕 = 2௫ reflected over the 􀝕-axis and shifted up 1 unit.  \n9. The bear population in an area is 300 and is decreasing at a rate of 10% per year. Write an exponential function in the form 􀝕 = 􀜽􀜾 ௫ that models the bear population, 􀝕 , after 􀝐 years.  \nEP All-in-One Highschool EP Math Algebra 2 Workbook  \n10. log ଶ 1+log ଶ 2 − logଶ 16  \nWhat is the value of the expression above?  \n11. log 􀝔 +log(􀝔 +8) = 2 log 3  \nFind all values of 􀝔 that satisfy the equation above. Be sure to check for extraneous solutions.  \n12. 􀝂 (􀝔) = −logଶ 􀝔  \nWhich could be the graph of the function above?  \nA)  \nC)  \n\n|  | |\n| --- | --- |\n| x | \u003Cbr>y |\n\n\n|  | |  |\n| --- | --- | --- |\n| x | y | |\n\nB)  \nD)  \n\n| |  |  |\n| --- | --- | --- |\n| x |  | y |\n\n\n| |  |\n| --- | --- |\n| x \u003Cbr>| y |\n\n13. If $3,000 is deposited into an account that earns 4% interest compounded annually, how long will it take the balance to double? Round your answer to the nearest year.  \n14. య√27 +16ଷ⁄ସ  \nWhat is the value of the expression above?  \n15. 􀝕 ଵ⁄ଷ ൫􀝕 ଵ⁄ଶ ൯ଶ⁄ଷ  \nWhich expression is equivalent to the expression above?  \nA) మඥ􀝕 ଷ B) యඥ􀝕 ଶ  \nC) ඥఱ 􀝕 ଺ D) లඥ􀝕 ହ  \n16. 􀝔 +1 = √5 −􀝔  \nFind all values of 􀝔 that satisfy the equation above. Be sure to check for extraneous solutions.  \n17. (2􀝔 +1)ଷ⁄ଶ = 27  \nIf 􀝔 satisfies the equation above, what is the value of 􀝔 ଵ⁄ଶ ?  \n18. Which function is graphed below?  \n\n| | |  |  |  | 4 |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  | | | | 3 |  |  |\n|  |  |  |  |  |  2 |  |  |\n| x |  |  |  |  | 1 |  |  |\n| -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 |\n|  |  |  |  |  | -1 | y |  |\n\nA) 􀝂 (􀝔) = −√􀝔 +1  \nB) 􀝂 (􀝔) = −√􀝔 − 1  \nC) 􀝂 (􀝔) = √−􀝔 +1  \nD) 􀝂 (􀝔) = √−􀝔 − 1  \nEP All-in-One Highschool EP Math Algebra 2 Workbook  \n 1   \n19.  􀝔 +1   \n2  1   \n−  \n􀝔 􀝔 +1  \nSimplify the expression above.  \n􀝔 4 1  \n20.   −   =    \n􀝔 − 1 􀝔 􀝔 ଶ −􀝔  \nFind all values of 􀝔 that satisfy the equation above. Be sure to check for extraneous solutions.  \n21. 􀝂 (􀝔) = 􀝔~~ ~~~~ ~~3 − 1  \nWhich statement is true about the function above? Select all that apply.  \nA) The vertical asymptote is 􀝔 = 3 .  \nB) The horizontal asymptote is 􀝕 = 1 .  \nC) The graph is in all four quadrants.  \nD) The graph can be obtained by shifting the graph of 􀝕 = 1⁄􀝔 .  \n22. Liam can paint twice as fast as Alex. Working together, they can paint a house in 8 hours. How long will it take Liam to paint the house alone?  \n23. 􀝔 ଶ + 􀝕 ଶ − 2􀝔 +4􀝕 − 4 = 0  \nWhich statement is true about the circle defined by the equation above?  \nA) center (1, −2), radius = 3  \nB) center (−1, 2), radius = 3  \nC) center (1, −2), radius = 9  \nD) center (−1, 2), radius = 9  \n24. 􀝕 = (􀝔 − 2)ଶ − 3 2􀝔 + 􀝕 = 4  \nIf (􀝔, 􀝕) is a solution to the system above and 􀝔 > 0, what is the value of 􀝔 − 􀝕 ?  \n2","cbCaijOL9ahhuAxA","https://ap.wps.com/l/cbCaijOL9ahhuAxA","pdf",242161,"English","# Practice Test Problems\n## Algebraic Equations and Functions\n## Modeling, Sequences, and Statistics","[{\"question\":\"What real-world application modeling appears in the test?\",\"answer\":\"A bear population problem models exponential decay with an interest-style question about doubling a deposited balance using exponential growth, both requiring forming an exponential function and interpreting parameters.\"}]","algebra-2-L179 - practice test | PDF",1790734542]