[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-463350-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-463350-en":130},{"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","intermediate-algebra-practice-placement-exam","Intermediate Algebra Practice Placement Exam","","Intermediate Algebra Practice Placement Exam contains a 24-question mixed assessment that measures core algebra skills through equations, expressions, factoring, solving systems, and quadratic reasoning. The test includes word problems and multiple-choice items requiring simplification, substitution, and application of the quadratic formula. An answer key is provided at the end to score results. A skills brush-up section and review chart link support targeted improvement before taking the real placement test.",{"@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/intermediate-algebra-practice-placement-exam/463350/",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/intermediate-algebra-practice-placement-exam/463350.png","ImageObject",300,407,{"name":42,"@type":43},"Aditya","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How should test-takers prepare for this placement practice exam?","Question",{"text":63,"@type":64},"Use blank paper and a pencil to work through problems. 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It provides examples of questions you can expect on your actual math placement test.  \n􀂃 Grab some blank pieces of paper and a pencil. You’ll use these to do your work and write your answers down.  \n􀂃 Although you may use a basic four-function, scientific, or graphing calculator, it is possible to solve every question without a calculator.  \n􀂃 Do not make random guesses. You should leave the answer blank if you have NO KNOWLEDGE of the question. If you have some knowledge, you maybe able to narrow choices and intelligently select the correct answer.  \n􀂃 You should do your best on this practice test so that your score reflects your knowledge of mathematics. When you take the actual test, the result allows placement into a math course for which you are prepared and should enable your successful completion of that course.  \n􀂃 Score your results using the answer key on the final page of this document. If you need to enhance your Intermediate Algebra skills, head to the “Brush up on Skills” section of [pct.edu/tests and download the Intermediate Algebra Analysis Chart. The chart outlines](pct.edu/tests and download the Intermediate Algebra Analysis Chart. The chart outlines)[ ](pct.edu/tests and download the Intermediate Algebra Analysis Chart. The chart outlines)which topic each question covers, making it easy to know which topics to review before taking the real placement test.  \n􀂃 Good luck!  \nPennsylvania College of Technology  \nMath Department  \nIntermediate Algebra Practice Placement Exam  \n1. The diagonal distance across the screen of a television measures 19 inches. What is the actual width of the television if the height of the screen is 10 inches?  \na. 9 inches c. 16.2 inches  \nb. 21.5 inches d. None of these  \n2. The width of a rectangle is represented by 4h6r~~ ~~ ; the length of the rectangle is represented by 4h6r~~ ~~ . Which of the following expressions represents the perimeter of the rectangle?  \na.  \nb.  \n12k  \n2h+ 3r  \n12k  \n4h+ 6r  \n24kc. ~~ ~~  \n16h+ 24r  \nd. ~~ ~~(43hk62r)2  \n3. A chemist has a 20% acid solution and a 50% acid solution. How much of each must be mixed to get 10 liters of a 30% acid solution? Which of the following systems of equations correctly represents this problem?  \n􀂭x + y = 300 􀂭 10 − x = y  \na. 􀂮 c. 􀂮  \n􀂯 20x + 30y = 300 􀂯 20x + 50y = 30  \nb. 􀂮􀂭 0.20x + 0.50y = 0.30 d. 􀂮􀂭x + y = 10  \n􀂯x + y = 10 􀂯 20x + 50y = 300  \n4. The expression ( 5a )−1/3  \n6  \n1 2  \na. ~~ ~~ a 5  \nb. − 35a6  \nis equivalent to which of the following?  \nc.  \nd.  \n− 5a 2  \n1  \n5a 2  \n5. The expression ( 25x16 )1/ 2 is equivalent to which of the following?  \na. 5x8 c. 5x4  \nb. 25x8 d. 25x4  \n6. When solving the following system by substitution, which expression could be used?  \n􀂭 4x + y = 1 􀂮  \n􀂯−3x + 2y = −9  \na. 3x − 9 c. 1− 4x  \nb. 4x +1 d. 3y + x  \n􀂭 m − n = 7  \n7. Solve for m in the following system: 􀂮  \n􀂯 3m+ 2n = 6  \na. 3 c. −4  \nb. −3 d. 4  \n8. Which binomial is a factor of 6x2 + 7x − 3 ?  \na. (3x + 1) c. (x + 1)  \nb. (3x −1) d. (x + 3)  \n9. Find the value of b that makes x2 + bx + 36 a perfect square.  \na. 6 c. 36  \nb. 12 d. 324  \n10. Which expression is equivalent to 3y32−−27y ?  \na. 3(3 − y) c. −3(3 − y)  \nb. 3( y + 3) d. −3( y + 3)  \n11. Find the solution set for (x + 1)(x − 2) = 4 .  \na. {2, −1} c. {3, −2}  \nb. {3, 6} d. {−3, 2}  \n12. The solutions of x2 − 2x − 48 = 0 .  \na. −8, −6 c. −6,8  \nb. −8, 6 d. 6,8  \n1 1  \n13. Which of the following expressions is equivalent to ~~ ~~ + ~~ ~~ ?  \nx y  \n 1   x + y  \na. c.  \nx + y y + x  \nb. ~~ ~~xy~~ ~~ d. ~~ ~~x+xyy  \n14. Add and simplify: y~~ ~~2~~ ~~+~~ ~~2~~ ~~y7~~ ~~y~~ ~~+12 + ~~ ~~yy~~ ~~~~ ~~24  \na.  \nb.  \ny 2 + 7y + 6  \n( y + 4)( y + 3)  \ny 2 + 5y + 6  \n( y + 4)( y + 3","cbCaiiObyp1aB1K4","https://ap.wps.com/l/cbCaiiObyp1aB1K4","pdf",235861,"English","# Practice Instructions\n# Sample Questions (1-24)\n## Solutions (Answer Key)","[{\"question\":\"How should test-takers prepare for this placement practice exam?\",\"answer\":\"Use blank paper and a pencil to work through problems. A basic four-function, scientific, or graphing calculator may be used, though every question can be solved without one.\"},{\"question\":\"How many questions are included, and what skills do they test?\",\"answer\":\"The exam has 24 questions focused on basic operations and intermediate algebra concepts, including solving equations, simplifying expressions, factoring, and interpreting quadratic situations.\"},{\"question\":\"Where can answers be checked after completing the practice exam?\",\"answer\":\"Score results using the answer key on the final page of the document.\"}]","Intermediate Algebra Practice Placement Exam | PDF",1790766449,18]