[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-314246-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-314246-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","pre-calculus-placement-test","Pre-Calculus Placement Test","","Pre-Calculus placement test instructions for assessing a student’s readiness for a Pre-Calculus textbook. The student completes two independent sections without a calculator, solving algebra and geometry problems across 30 numbered questions. Scoring guidance sets readiness thresholds: at least 10 correct in Section 1 (problems 1–15) and at least 8 correct in Section 2 (problems 16–30). If scores fall below, remedial geometry and algebra work may be needed.",{"@graph":14,"@context":73},[15,34,56],{"@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/pre-calculus-placement-test/314246/",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/pre-calculus-placement-test/314246.png","ImageObject",300,407,{"name":42,"@type":43},"Aran","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-20",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",18,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"Can the student use a calculator for the Pre-Calculus placement test?","Question",{"text":63,"@type":64},"No. The student should work independently without the use of a calculator.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What scores indicate the student is probably ready for Pre-Calculus?",{"text":68,"@type":64},"A readiness score requires at least 10 correct on Section 1 (problems 1–15) and at least 8 correct on Section 2 (problems 16–30).",{"name":70,"@type":61,"acceptedAnswer":71},"What should be done if the student scores below the readiness level?",{"text":72,"@type":64},"Additional remedial work in Geometry and Algebra 2 may be necessary.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},314246,1790375315,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":101,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":145,"preview_page_count":4},137455076865,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Placement Test Instructions  \nThis placement test can help you determine whether your child is ready for the Pre-Calculus Teaching Textbook. The test is not perfect, so in making any final placement decision also use common sense.  \nThe student should work independently without the use of a calculator. It is not necessary to time the test, but most students will finish in less than 112 hours.  \nScoring  \nThe test is divided into two sections. Both sections include material from our Algebra II and Geometry products. Section 1 includes problems 1 – 15 and is the simpler part of the test. Section 2 includes problems 16 – 30 and is the more difficult part of the test.  \nThe student is probably ready for Pre-Calculus if he/she makes the following scores on the two sections.  \n10 or more correct on Section 1 (problems 1 – 15)  \nand 8 or more correct on Section 2 (problems 16 – 30)  \nIf the student’s score falls below this level, then some remedial work in Geometry and Algebra 2 might be necessary.  \nPre-Calculus Placement Test  \nSection 1  \nSolve each equation below.  \n1. 7x − 3(x + 6) = −2 2. x2 + 5x = 0  \nWrite the equation for each line below.  \n3. Write the equation for the line crossing the point (0, −4) and with slope = 2.  \n4. The line crossing the points (1, 1) and (2, −1) .  \nAnswer each question below.  \n5. In the equation w = 3vu + q , find the value ofw when q = − 1 , u = 2 , and v = −3 .  \n6. Solve for x in the equation z = bx + cy .  \n7. Find f (−2) for the function f (x) = 2x2 − 8x .  \nGraph each two-variable equation below.  \n8. y + x = 4 9. y = −2x2  \n10. x2 + y2 = 9  \nFind the missing quantities in each picture below. Make sure to fully simplify your answers.  \n11. Find x 12. If ℓ 1 || ℓ 2 , find s + t .  \nS  \nCalculate the following quantity in each figure below.  \n13. The area of ▱PQRS 14. The volume of the rectangular solid  \nP 14 feet Q  \n A  \n8   \nfeet 4 in.  \nS R E  \nD  \nB  \n7 in.   \nF  \n9 in.  \nH  \nC  \nG  \n15. The perimeter of quadrilateral HIJK. Estimate your answer to 2 decimal places.  \nH 3  \n8  \n45  \nK  \nI  \nJ  \nSection 2  \nSolve each equation below.  \n16. x − 2 = 14 17. x2 + 6x − 7 = 0  \nSolve the equation below using the quadratic formula.  \n18. x2 + x − 3 = 0  \nSolve the system of equations below.  \n􀀁 x + y = 19 􀀁4x + 3y = 18  \n19. 􀀂 20. 􀀂  \n􀀃5x − y = 23 􀀃x + y = 3  \nSolve the inequality below.  \n21. −7x + 5 \u003C −4x −13 22. ~~ ~~3(x~~ ~~7) > 2x  \nAnswer each question below.  \n23. Solve for n in the equation bn = n + a .  \n24. Simplify the expression x2~~ ~~22−xyy~~ ~~y~~ ~~2~~ ~~ .  \nFind the missing quantities in each picture below. Make sure to fully simplify your answers.  \n25. Find x andy 26. Find x  \nA  \n5  \n12  \nUse a trigonometric ratio to solve the word problem below.  \n27. The playground in the local park has a tall slide that is 18 feet long. If the end of the slide forms a 54° angle with the ground, how tall is the slide? Estimate your answer to 2 decimal places.  \n18 ft.  \n54  \n28. In ∆MNG , m∠M = 4x , m∠N = 3x +12 , and m∠G = x − 8 (where x > 0) . Find m∠N . What is the longest side of ∆MNG ?  \nState which theorem can be used to prove that the pair of triangles below is congruent. If no method applies, say “none.”  \n29.   \nState which theorem can be used to prove that the pair of triangles ( ∆ABC and ∆AEF ) below is similar. If no method applies, say “none.”  \n30.  \nA  \nF  \nB  \nC  \nPRE-CALCULUS PLACEMENT TEST  \n1. x = 4  \n2. x = 0, − 5  \n3. y = 2x − 4 (or y + 4 = 2x )  \n4. y = −2x + 3 (or y − 3 = −2x)  \n5. w = − 19 z − cy  \n6. x =  \nb 7. f (−2) = 24  \n8.  \n9.  \n12. s + t = 140°  \n13. 112 square feet  \n14. 252 cubic inches  \n15. 33.31  \n16. x = − 12, 16  \n17. x = −7, 1  \n−1 − 13 −1+ 13  \n18. x = ~~ ~~ ~~ ~~,  \n2 2  \n19. x = 7, y = 12  \n20. x = 9, y = −6  \n21. x > 6  \n22. x \u003C 3  \n23. n =  a b −1  \nx + y  \n24. ~~ ~~  \nx − y  \n25. x = 39°, y = 39°  \n26. x = 8  \n27. 14.56 feet  \n28. m∠N = 78° , NG is the longest side 29. Side-Angle-Side theorem  \n30. Angle-Angle theorem","cbCainSiurLEh8va","https://ap.wps.com/l/cbCainSiurLEh8va","pdf",112716,"English","# Placement Test Instructions\n# Scoring\n# Section 1\n## Solve Equations and Write Equations\n## Evaluate Functions and Graph Equations\n## Simplify Geometry Quantities\n# Section 2\n## Solve Equations and Systems\n## Solve Inequalities\n## Trigonometry Word Problem\n## Triangle Theorem Questions","[{\"question\":\"Can the student use a calculator for the Pre-Calculus placement test?\",\"answer\":\"No. The student should work independently without the use of a calculator.\"},{\"question\":\"What scores indicate the student is probably ready for Pre-Calculus?\",\"answer\":\"A readiness score requires at least 10 correct on Section 1 (problems 1–15) and at least 8 correct on Section 2 (problems 16–30).\"},{\"question\":\"What should be done if the student scores below the readiness level?\",\"answer\":\"Additional remedial work in Geometry and Algebra 2 may be necessary.\"}]","Pre-Calculus Placement Test | PDF",1789900403,15]