Buckle Down - Gr 8 - Practice Test - Form A - Answers.pdf

Buckle DownNew York3rdEDITIONFully Aligned to All TestedPerformance IndicatorsMathematics

ISBN 0-7836-7W3-1ISBN 978-0-7836-7H03-23BDNY08MM03 345678910Cover Image: © ThinkstockTriumph Learning® 136 Madison Avenue, 7th Floor, New York, NY 10016© 2011 Triumph Learning, LLCBuckle Down is an imprint of Triumph Learning®All rights reserved. No part of this publication may be reproduced in whole or in part, stored in a retrieval system, ortransmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without writtenpermission from the publisher.Printed in the United States of America.

BookITips for taking the testHere are some suggestions to help you do your best:• Be sure to read carefully all the directions in the test book.• Read each question carefully and think about the answer before choosingyour response.This picture means that you will use your ruler.Book 1Page 3

Sample ASimplify the expressionbelow.A 1236 - ^ x 234B 18C 48D 216Sample BUse your ruler to help you solve this problem.What is the area, in square centimeters, of the square shown below?A 9B 16.25C 18D 20.25STOPPage 4Book 1

._....—^—i_—_:__£ 1 Simplify the expression below.A 9294 x 9~6 -= rB 910© 9"2D 924/\ 2 Which is tWeG^intercep^pf the line shown on the coordinate plane below?1—•i—1-9|—; i ii1■ ■ f ■---I- —--i"I'I— — -—|-1yy—i9 -B -7 - B -5 -4 - 3 - J -1 01 . ! :5 ■r 8 !—u=-4-6-111{Z■A---—V1——!>_j--——--- _■■-■-- ——iJAJ -3B 0C 3D 4Co OnBook 1Page 5

__- ,f .___3 If triangle DE£-is-dJlated by a scale factor of 3 to form triangle D'E'F', what will be thecoordinates af D'V< 3.^1——!i!11---i—-0-9 -) B -7 -< 5 -11iL----fiJ 2/'i0-j10'9876■54f\-3-45-6-7-B-910,itF\■—-— ——i£3456' r 1! 9 Itf"r11!-iA (-2,1)B (-1, -4)C (5,2)b(2, - 2(3) , -IF(o,3)(6, -3)!_4: Simplify the expression below.2xy(5xy + 9y)A 10xy + 18xB 7xy + 11xy2C 10x2y2 + 18xy^D) 10x2y2 + 18xy2Page 6Book 1

A 5Which table represents the following equation?y = -3x + 5Xy-12-171 ' °^45-7-12XyB-404-i >5 .17 '+ IZXy-17 ^y 0** 457 'Xy0" 47 ,5-17 *-2-ZZ.e> Which inequality represents the following situation?-ion_Negative six times a number, n, is^at most)twelve.A -6n 12D -6n > 12Co OnBook 1Page 7

Which number line shows the solution set of the following inequality?2m + 1 > -5* H—I—h-5-4-3-2-10 1 2 3 4 5-A -IBH—I—*—I—I—hH—I—I—I—h-5-4-3-2-10 1 2 3 4 5«H—h^-H—I—hH—I—I—h-H*-5-4-3-2-10 1 2 3 4 5I—4—I—I—hH—I—h-5-4-3-2-10 1 2 3 4 5■+*-4 "3 -2-8 The scale on a road map is shown below.SCALE2 cm = 75 kmThe distance between Rochester and Greenport on a map is 13 centimeters. What isthe actual distance, in kilometers, between the two cities?A 88487.5487.6C 497.5D 975ST3.A5n 5o_m15Page 8Book 1

9 Which is the equation of a line with a slope of | and a y-intercept of 2?'H*B y = fx - 2' 4D y = -2x - f' 410 Which of the following is equal to x2 - 7x + 10?A (x + 5)(x + 2)B (x + 5)(x - 2)C (x - 5)(x + 2)(x-5)(x-2)M—>10) M-5U -z=T +10 /11 Simplify the expression below.8x4y2x2y2yI *B^VC **-y^ex2Co OnBook 1Page 9

A 12 Matilda draws an angle that measures 72°. Which is the measure of thecqmpjementary angle to the angle that Matilda drew?(A) 18°B 72°ADD OP TOC 108°D 288°13 Jayden's annual salary is $43,000. He receives a bonus that is/I2)% of his annual salary.How much is Jayden's bonus?A $870® $5,160C $8,700D $49,300$ 4-3,000 (.12%) - $43,000 (.• 12)$43,003* .12+. 8 boOO430OO0£? 14 Ms. Poulet takes her daughter to lunch. The bill for the lunch is $18.75. She leavesa tip that is 18% of the cost of the lunch. Which is the best estimate for the amountof the tip?A $2C $4D $5\%ISO 00l 8 1 50Page 10Book 1

15 Which verbal expression represents the algebraic expression 4x - 9?A a number minus four times nine -Tt-V'^?(5) the product of four and a number decreased by nine //"71-9C four times a number less than nine 9 ~4*7l - Cj-HnD a number times four increased by nine tx.^+q = 4r\ +Q16 Which is the solution of the following inequality?-4p + 2

118: Which decimal is equivalent to |%?8AB3.750.375Q-3758)3.O0O"O I30,375100CD)0.03750.00375bO= L 0037519 A chef heated sHO40— ioWhich shows the temperature in°F?F= |C + 321^AB©85°F171°F203°F45-45oD222°F112 03F = 171+32Page 12Book 1

...._■_ ._—._/\ 20 Which table of values was used to graph the line shown below?1-——-c*---——0- i -8 - T -6 -> > -*« - 3 - 2 -—--!11----\514• 1-2——— -3-4-5-6-- -■ — -7-8-9 -Ta ?.•*■)\:7\->)) 4 ! > ( 3 ■r 8 9 NT\-----ftS !~r1/ -\--I------I——— : XX-3-14y84-6BX-648y4-1-3X-620y401X-22y5. -14-5Book 1Co OnPage 13

21 In the diagram below, which pair of angles must be congruent?A Z.1 and Z.3B £.2 and zl5C jL3 and LS(S) ^1 andb 22 Which rule shows the relationship between x and y in the table?Xy-3-18-2-12-1—-6 _isO6 /{° =A3A y = -6xCDCy=6xy=x-6D y = x + 6iA= («7'X-»-DPage 14Book 1

23 In the diagram below, line r is parallel to line s, and line t is a transversal.Which two angles must be congruent to Z.2 in the diagram?A ^andCj)C24 Which situation is best represented by the graph below?A the amount in a bank account as money is deposited each week kfr) " ".—L cB the amount of gas in a car as it is being filled I/7(Q the volume of water in an aquarium as it is being drained K_D the height of a plant from 3 weeks to 12 weeksCo OnBook 1Page 1 5

_.:—...i.........25 Simplify the expression below.(4y2 + 5y - 3) + (y2 - 8y - 2)A 4y2 + 3y + 5® 5y2 - 3y - 5C 5y2 + 13y+5D 5y2 + 3y - 526 Which equation does the graph shown below represent?J_-•- — — - - —— — —-Er-JJ\-5■43i| [|-10 -9 • B -7 -< S -5 -4 -3 -Vi-Ji ;[ \123456789 1(Tii-— _—-—4-5-4-ALm-6-7s-1»—is1 n F— S-DPA ft-[X) 2x + y = -4B 2x-y = 4C -2x + y = -4D -2x - y = 4HJTKb-4-minn.Page 16Book 1

-__...iii!i1Iii!1..—...-......ii■27 Which graph represents ajTinejar relationship?------ZL:1~~1 i •\;1■•-r-mi -i - 3 -J -1i-Ift/A-_~j—I4!f ! *1X" -H---ii{III:]:9 0 »-1-!-i-ii---—---Br-- -I !•1 :-0 C 0 7 hilr-4~r-15 1iiI 2 •I54Ii1..t E j; ii ■ 1ill!I-f-44-j -b\yjr< 1i :"i ;2145671 tD1\i I | jf ' '

C i2p: In the diagram below, line p and line q are parallel, and line m is a transversal.-42"-["31?m42"■+-PWhat is the measure of z.y?A 42°B 84°© 138°D 148°[||f; What is 12y3 - 6y2 divided by 3y?A 4y-2B4y - 2yC 4y2 - 2«i*4l-Page 18Book 1

A 30 What is the unit price of six markers that cost $8.34?® $1.39 \Pee. qmcB $1.41C $1.49D $2.34 rvuuas-*78.34235431 Which is the solution of the following inequality?3(8 - 2x) > 2xA x>3x 2.7CC x>6D x

A 33 Which rule shows the relationship between x and y in the table?Xyr -h

36 In the diagram below, line g is parallel to line h, and line f is a transversal.Which pair of angles are supplementary? -.\adth a som of^1and Z3Z.1 and£.3 andand37 Simplify the expression below.6x2y33x3ytfi-A *C ^D K X2I. 'I 1Co OnBook 1Page 21

38 Evaluate the expression®BC4° + 2"2 X8- 16-13-1020below.4°!i•z4-—!—xx&-llr>e-iu4. -L- X ft -lb4-ASD49

t1i:fG 40 Which table of values was used to graph the line shown below?10 1Una—A( •V V0^A—

A [4iij Which inequality represents the following situation?One half times a number, x, is greater than negative ten.>BCD|x

Book 2Tips for taking the testHere are some suggestions to help you do your best:• Be sure to read carefully all the directions in the test book.• Read each question carefully and think about the answer before writingyour response.• Be sure to show your work when asked. You may receive partial credit if youhave shown your work.• Use your calculator to help you solve the problems on this part of the test.This picture means that you will use your ruler.Mathematics Reference SheetFORMULASCONVERSIONSTemperature ConversionsPythagorean Theoremab2F=|C + 32C = f(F - 32)Simple Interest / =prtMeasurement ConversionsDistance Formulad = n1 mile = 5,280 feet1 yard = 3 feetBook 2Page 25

43 Jordan exchanged $40 U.S. dollars for 24 British pounds. At this exchange rate, howmuch will Jordan receive in British pounds for $100 in U.S. dollars?Show your work.- 2Answer 60Page 26Book 2

44 Solve the inequality below for c15-(3c+ 1)c + u>C + \p-IC>2.Co OnBook 2Page 27

■45: In the diagram below, lines a and b intersect, and the measure of Az is 34°14bWhat are the measures of Lx and Ly in the diagram?Show your work.1.1\oreZ oCOreAnswer Lx = 141/34!Page 28Book 2

.......__.___.__......_..46 Lance graphed the lines yf = x - 3 and y2= -2x + 3 on a coordinate plane to solve thesystem of equations.Part AOn the coordinate plane below, graph each equation.-101345to-3-20123%X-10I34-531:3~-5-7—---*0-9 -(-—- -1_L.1! -7 -(!ir"f!—----//V \—-\-/--—98762i -: i -i! - 0-5-7—\---- -~1 ! > (-t\irI7/17 8 9 1-r—_!_—0**-iX+3/u1-'\r\,-PartBIs there a solution to the system of equations? If so, what is the solution? If not,explain why.the tp tvus svstem of is(3,-0, Tne solution! >s the poikjt dpCo OnBook 2Page 29

47 Use the graph below.1TimeOn the lines below, describe a situation that could be represented by the graph.4H - A CA£ IS tnZlVEM STOP STOP AT A6 AS TO 6CT 6A-S Fog. A CQOPtCVOO t?et\J£ TO yooft FmOfttWALV6S TV. A HOOSE TO VELJL C00IM6S.SheAT QKjg noo&g to 9sul cookies fog. ACoopte of wali^s rtorv\E.Page 30Book 2

48 Stadium Avenue intersects Harrison Street at a 68° angle, as shown in thediagrambelow.Harrison StreetStadium AvenueWhat is the measure of /Ls>Answer ll£ °On the lines below, explain how you determined the measure of Ls.{oR°ftu&\.e and MJ61.E .9 Age€>\JpPu£j(\/\€MVtytkJI An)^iJE£ HAVE.ASurviof"tODGTE^rVliNJB*Trt£ iV\6Pte\)££ OF AM£il£ S; X Su1VCTEt>(o^° ffcoflfl l So0,Co OilBook 2Page 31

49 Factor the GCF from the polynomial below.Show your work.i a , ii, i gJ all th(Z6eT^ I i rl m a9CIW7OAnswerPage 32Book 2

._I__50 Valeria drew trapezoid ABCD and used a transformation to create trapezoid A'B'C'D'in one transformation.i—444--—10'• -----—r..i .1"10 -9 - a - 7 -i6 -5 -4 -3 - -101'"*' tiC-21■ !1 !iiinIf--\A...i-i ...)....i :870S4321-3-4'-61-7-8-910-F7 '

51 The cost of craft clay, in four sizes, is shown in the table below.CRAFT CLAY PRICESSizeCostWoe*.UNITCOST4oz$7.28»7.2g-M0tL.ft 1-329oz$16.11Alb.il~qo«.16 oz25 oz$26.40$41.75&2lo.40-rHoOZ.^41-75-^ZSta.*l. fa5Part AWhat is the unit cost of each size?Show your work.(/nft Price per log. ?PartsWhich is the best buy? Explain your answer.Trig &€5T Buy is -me l(o ' "Tag Unit Cost ofis TV\e thc sties.Page 34Book 2

i||Ii52 Sebastian drew figure QRS. He plans to draw figure Q'R'S' by translating QRS 2 unitsdown and 8 units to theleft.Part AOn the coordinate plane below, draw and label Q'R'S'.-10-9 -8 -7 -

53 Theo simplified the expression (4x 2y3)(6x3ys) as shown below.(4x"2y3)(6x3ys)= 24x"6y15Part ADid Theo simplify the expression correctly? On the lines below, explain how youdetermined your answer. If Theo's answer is not correct, give the correct answer.OklTlhe li MS') - L4)( (pH"2+3u5+s: = 24-TC'tj8 = 24t(i4sAftoVE 7 VOO 3EB -me £o££ ecriwoe4l ^ cornea AU?,wie

54 Look at the inequality below.-3d+ 5> 17Solve the inequality for d.Show your work.AnswerSTOPBook 2Page 37