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Tennessee ComprehensiveAssessment ProgramTCAPAlgebra IPractice TestPlease PRINT all information in the box.Student Name:Teacher Name:School:District:All practice test items represent the appropriate grade level/content standards—however, thepractice test may contain item types that no longer appear on the operational assessment.

Published under contract with the Tennessee Department of Education by Educational Testing Service (ETS), Princeton, NJ 08541. Copyright 2019 byTennessee Department of Education. All rights reserved. No part of this publication may be copied, reproduced, or distributed in any form or by any means,or stored in a database or retrieval system, without the prior express written consent of the Tennessee Department of Education.

TNReady Math Reference Sheet—High School1 inch 2.54 centimetersExponential Growth: y a(1 r)t1 mile 5,280 feet1 mile 1,760 yards1 mile 1.609 kilometers1 kilometer 0.62 mileExponential Decay: y a(1 – r)tnt1 meter 39.37 inches r Compound Interest: A P 1 n 1 pound 16 ouncesContinually Compounding Interest:1 pound 0.454 kilogramsA Pert1 kilogram 2.2 pounds1 ton 2,000 pounds1 pint 2 cups1 quart 2 pints1 gallon 4 quartsArithmetic Sequence: an a1 (n – 1)dGeometric Sequence: an a1(r)n – 1Finite Geometric Series: Sn 1 gallon 3.785 liters1 liter 0.264 gallons1 liter 1,000 cubic centimetersDegrees: 1 degree Radians: 1 radian ASSESSMENT MATERIALMay only be reproduced for classroom useiiia1 (1 r n )1 rπradians180180degreesπ

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SAMPLE QUESTIONTN230685DirectionsThis test has Subpart 1, Subpart 2, and Subpart 3. Each subpart contains various typesof assessment questions.You MAY NOT use a calculator in Subpart 1 of this test.TN0041332Sample: Multiple choice (one correct response)Which binomial is a factor of the expression 2a2 10a 48?A. a 3B. a 8C. 2a 3D. 2a 8Do not go on to the next page until told to do so.ASSESSMENT MATERIALMay only be reproduced for classroom use1STOP

Algebra I, Subpart 1 1Calculator ProhibitedTN0031563Avery is solving the following equation. 2 m 2 6Which equation is equivalent to Avery’s equation?A. 2m 4 6B. m 2 3C. 2m 4 6D. m 2 32TNP16A10002Grace and her brother need 400 to go to band camp. Their parents have agreedto help them earn money by paying them 25 each time they mow the lawnand 10 for each hour they babysit their younger brother. They will have to do acombination of both chores to earn the money.Select the equation that represents the number of lawns they can mow, m, andhours they can babysit, b, to earn 400.M. 10m 25b 400P. 10m 25b 400R. 25m 10b 400S. 25m 10b 400ASSESSMENT MATERIALMay only be reproduced for classroom use2Go on

Calculator Prohibited 3Algebra I, Subpart 1TN0032597Select all tables that could represent a function.A.D.B.E.C.ASSESSMENT MATERIALMay only be reproduced for classroom use3Go on

Algebra I, Subpart 1 4Calculator ProhibitedTNP16A10004Which pair best represents a causation relationship?M. a person’s age and his/her shoe sizeP. the number of ice cream cones sold and the amount of sunscreen soldR. the temperature at a football game and the number of hot drinks soldS. the number of people attending a ballgame and the length of the ballgameASSESSMENT MATERIALMay only be reproduced for classroom use4Go on

Calculator Prohibited 5Algebra I, Subpart 1TN0032602A function is graphed on the coordinate plane.Which equation represents the graphed function?A. f(x) x 2 1B. f(x) x 1 2C. f(x) x 2 1D. f(x) x 1 2ASSESSMENT MATERIALMay only be reproduced for classroom use5Go on

Algebra I, Subpart 1 6Calculator ProhibitedTNP16A10011Which expression is equivalent to (q2 16)?M. (q 4)2P. (q 4)(q 4)R. (q 8)(q 2)S. (q 8)(q 2)7TN0032611Two of Ms. Cole’s Earth science classes have 23 students each. Box plots for recenttest scores for these two classes are displayed.Which statement about the scores is true?A. The means of the two sets of data are equal.B. The lower quartiles of the two sets of data are the same.C. More students in third period than in fifth period scored an 87 or above.D. Fewer students in third period than in fifth period scored a 70 or below.ASSESSMENT MATERIALMay only be reproduced for classroom use6Go on

Calculator Prohibited 8Algebra I, Subpart 1TN0032641Simplify the expression.(3x4 9x3 7x 15) ( 6x4 8x2 5x 3)Enter your answer in the space provided.ASSESSMENT MATERIALMay only be reproduced for classroom use7Go on

Algebra I, Subpart 1 9Calculator ProhibitedTNP16A10009The function f(x) x2 3x 4 is graphed on the coordinate plane.\ [ Consider f(x 3). Which option correctly describes the transformation to thegraph?M. up 3 unitsP. down 3 unitsR. left 3 unitsS. right 3 unitsThis is the end of Subpart 1 of the Algebra I Test.Do not go on to the next page until told to do so.ASSESSMENT MATERIALMay only be reproduced for classroom use8STOP

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DirectionsTN0000314DirectionsSubpart 2 of this test contains various types of assessment questions.You MAY use a calculator in Subpart 2 of this test.TN0041335Do not go on to the next page until told to do so.ASSESSMENT MATERIALMay only be reproduced for classroom use11STOP

Algebra I, Subpart 2 10Calculator AllowedTN0032621The height, in inches, of each student in Megan’s algebra class is shown.Select the three measures that will be affected if a student who is 77 inches talljoins the class.A. interquartile rangeB. meanC. medianD. rangeE. standard deviation11TN0017774Jesse sent an email to 4 people for a school project. In her email, she requestedthat each person copy and send the same email to 4 additional people.If everyone continues to send the email as requested, which equation could beused to determine the number of emails, y, that will be sent for a given round, x?M. y x4P. y 4xR. y 4xS. y 4xASSESSMENT MATERIALMay only be reproduced for classroom use12Go on

Calculator Allowed 12TNP16A10012Solve the inequality.4x 7 A. x B. x C. x D. x 13Algebra I, Subpart 2 12 x 14472723232TN0005211Consider the expression (x2 4)(x 3).Select all values of x for which (x2 4)(x 3) 0.M. 4P. 3R. 2S.   2T.   3V.   4ASSESSMENT MATERIALMay only be reproduced for classroom use13Go on

Algebra I, Subpart 2 14Calculator AllowedTNP16A10014The equation A 1750(1.04)t represents an account balance t years after theaccount was created.Which statement is correct?A. The account balance will decrease 0.04% each year.B. The account balance will increase 0.04% each year.C. The account balance will decrease 4% each year.D. The account balance will increase 4% each year.ASSESSMENT MATERIALMay only be reproduced for classroom use14Go on

Calculator Allowed 15Algebra I, Subpart 2TN0032634The graph of two functions is shown on the coordinate plane.Select all values of x for which f(x) g(x).M. 2P. 1R.   1S.   3T.   4ASSESSMENT MATERIALMay only be reproduced for classroom use15Go on

Algebra I, Subpart 2 16Calculator AllowedTNP16A10016One end of a metal spring is attached to a ceiling. The other end of the springhangs down.The table displays the length of the spring when different masses are tied to theend of the spring that hangs down.Mass Tied to Spring (kg)Length of Spring (cm)0439.02439.14439.26439.3How much longer does the spring become with each extra kilogram of mass that istied to it?A. 0.01 cmB. 0.05 cmC. 0.1 cmD. 0.5 cm17TN0032636Consider the equationx2 12x 49 22.Which equation has the same solution(s) as the given equation?M. (x 6)2 9P. (x 7)2 22R. (x 7)2 4.7S. (x 12)2 27ASSESSMENT MATERIALMay only be reproduced for classroom use16Go on

Calculator Allowed 18Algebra I, Subpart 2TNP16A10018A rock is thrown from a cliff into a ravine.The function h(t) 16t2 192t 2560 describes the height, in feet, of the rockt seconds after it is thrown.What is the height of the rock, in feet, 8 seconds after it is thrown?Enter your answer in the space provided.19TNP16A10019John has a goal to ride his bike 100 miles this summer. John has ridden 12 milesthus far. There are 40 days left in the summer.What is the average number of miles John must ride per day to reach his goal of100 miles?Enter your answer in the space provided.ASSESSMENT MATERIALMay only be reproduced for classroom use17Go on

Algebra I, Subpart 2 20Calculator AllowedTNP16A10020Consider the functionf(x) 2x2 20x 42.Which graph shows all the values of x for which f(x) 0?A. –10 –9 –8 –7 –6 –5 –4 –3 –2 –1012345678910B. –10 –9 –8 –7 –6 –5 –4 –3 –2 –1012345678910C. –10 –9 –8 –7 –6 –5 –4 –3 –2 –1012345678910–10 –9 –8 –7 –6 –5 –4 –3 –2 –1012345678910D.This is the end of Subpart 2 of the Algebra I Test.Do not go on to the next page until told to do so.ASSESSMENT MATERIALMay only be reproduced for classroom use18STOP

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DirectionsTN0000316DirectionsSubpart 3 of this test contains various types of assessment questions.You MAY use a calculator in Subpart 3 of this test.Do not go on to the next page until told to do so.ASSESSMENT MATERIALMay only be reproduced for classroom use21STOP

Algebra I, Subpart 3 21Calculator AllowedTN0018028Hayden solved this equation using the steps shown.Based on the definition of absolute value, what additional step should Hayden doto determine the complete solution to the equation?A. Hayden should include the opposite of 7 as a second solution.B. Hayden should include the reciprocal of 7 as a second solution.C. Hayden should also solve for x 3 4 to determine a second solution.D. Hayden should also solve for x 3 4 to determine a second solution.ASSESSMENT MATERIALMay only be reproduced for classroom use22Go on

Calculator Allowed 22Algebra I, Subpart 3TN0018683A farmer performs an experiment to find the amount of fertilizer needed toincrease crop yields. She uses different amounts of fertilizer, measured in poundsper acre (lb/acre). She then records the yields, in bushels per acre (bu/acre). Herresults are shown in the table and graphed on the scatter plot.Which equation best models the farmer’s data?M. y 0.37x 31P. y 32(1.006)xR. y 0.009x2 2.13x 43S. y 0.009x2 2.13x 43ASSESSMENT MATERIALMay only be reproduced for classroom use23Go on

Algebra I, Subpart 3 23Calculator AllowedTN0017756Jackie buys 3 hot dogs and 1 pretzel from a restaurant for 12.25. Sylvia buys2 hot dogs and 4 pretzels from the same restaurant for 16.50.Part AWhich system of equations can be used to determine the price of a hot dog, h, anda pretzel, p, at the restaurant?A. 2h 1p 12.253h 4p 16.50B. 3h 2h 12.251p 4p 16.50C. 2h 4p 12.253h 1p 16.50D. 3h 1p 12.252h 4p 16.50Part BWhat is the price, in dollars, of a hot dog at the restaurant?Enter your answer in the space provided.ASSESSMENT MATERIALMay only be reproduced for classroom use24Go on

Calculator Allowed Algebra I, Subpart 3TN003264324The length of a garden is 6 feet more than the width. The area of the garden is 40square feet.What is the length, in feet, of the garden?Enter your answer in the space provided.25TN0002718 AND TN0002719 AND TN0002720 AND TN0002721 AND TN0002722 AND TN0002723The Booneville History Museum had 25,000 visitors in 1980. The number ofvisitors has decreased by 2.5% each year since 1980.Write a function v(t) to represent the number of visitors to the Booneville HistoryMuseum t years after 1980.Enter your answer in the space provided.ASSESSMENT MATERIALMay only be reproduced for classroom use25Go on