University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2022
Views:

117

Pages:

7
Author:

SpaceCadet101

1. Evaluate the folJowing expression for m = 9. J4m + 5 1- s s rn" s с; ® ОА.7 ОС.1 OD.17 + 2. Simplify tl1e following expressioп. 84. 83 . 0 А. 8(12) О С. gl2 О D. 8(7) 3. Simplify: 7../54- 2-/24 ОА. 25vo е С.17-16 OD. 55,Лj 4. Tl1e expressioп beJow shoнld Ье furtl1er Simplified for wl1icl1 valнe of х? 185" 85 � • А. 185 ОВ.53 ОС.74 ОD.З 5 t ,i,s,, ;,60 Jгs(1вs") 157;, 5 J1>1;JS ' 5."Factor tl1e followiпg polynornial cornpletely. -0.G (x"+S'x - IЧ) c=o::-<1(,c-i-7Xx-.;:,J) -О.9х2 - 4.5х + 12.6 О А. -0.9(х + 7)(х + 2) О В. О.9(х + 7)(х - 2) О С. -0.9(х2 + 5х - 14) • D. -О.9(х + 7)(х - 2) 6. Order the followiпg frorn least to greatest. 0."(; ()./'/ О, 77 о,,о 1 2 3, 0.56, 14%, 77% , 2 . 0.56 , 14% 1 77% • в. 14 %о , 21 ' 0.56 ' §2 1 77% с. 14% ' 12 1 23 , 77% 1 0,56 о О D, 77% , � , 0,56 , ! , 14% 7. Tl1e Rose n,eater seats 146 people, and tl1e theater is lюsting а play for 8 nigl1ts. lf the tl1eater is at about 80% capacity f01· each night of the р]ау, approxirnate]y how 11iany people will attend the play? 8(1'iJo) • 8 (10<>) 0 А, 1168 ев. 934 О С, 123 О 1).1176 8. Mick is participating in а cross coнnty Ьike race. Eve1-y 2 lюurs Ье travels between 38 and 50 rni!cs. Fош lюt1rs ago, Mick l)ad t!'aveled 52 miles fю1n t!Je start oft!Je race. WJ1icl1 is а Mick's distance from t!Je start of tlie race поw? reasonaЫe measнre of' О А. • В. О С. О D. 158 miles 142 miles J 66 miles 118 шiJes • /.e,t� So.y 1И:01'.. C.0v/ +:? 8А.20 Jlз-iaJ ,;, ОВ.16 Jl-<1/•) 0 с. -20 ,1-(q) • � 19 +J OD. -16 10. Simplify tl1e following expression. 3х 3 3х + 18х 2 + бх: - 5 О А. зх З 5 .В.х2 О С. 19х2 + 5х О D. х 2 + 15х - 12 11. SimpJify: (7х2 + бх + 3)-,,:s·-..-.... (2х2 - Зх + 7) О А. 9х2 + 9х -4 2 8 В. 5х + 9х-4 О С. 9х2 + 9х - 10 О D. 5х2 + Зх - 4 7х�+ь>< +.З - �,,: '"3.>с а'?+ <\,с -Ч) 12. Factш· tl1e following polyнomial. 16х2 + 20х О А. 4х(4х + 20) О В. 4х2 (4х + 5) е С. 4х(4х + 5) 0 D. 4(4х+ 5) @чх т-S)) -'7 13. Factor the followiпg exp1·ession complete!y. х4 - 1 О А. (х - 1 )(х + 1) • В. (х- l)(x + J)(x2 + 1) О С. (х - 1 )(х + 1 )(х - 1 )(х + J) 2 О D. (х - J)(x2 + !) 3 14. First State Вапk !1as а drive-thrн for custo111ers who are making withdrawals 01· deposits. Т!1е clrive-thru is ореп 5 days а ,veek for 8 hours per day. Every hош-, the Ьапk serves 4 to 8 drive tlш, снstошегs. Iftwo-thircls of drive-tl1rt1 customers make а deposit, tl1en about how mаву drive-thгu cнstomers ,vill make а deposit in one work week? Tlse. b,"k .!.Цv<-� ,.!,,,.,-1- � drш.-+l.rч <-w�•.-.crJ с,,. hcur • С11 А. 160 drive-thrн custo111ers О В. 80 drive-th.ru customeгs О С. 20 drive-tl1rt1 ct1sto111ers О D. 224 drive-thrti cнstomers 15. Simplify: 4(13 -1-9 + 41) -19 - 71 2 0 А.-4 .В.28 ОС.43 OD.16 LJL1з-/-s1) -\;,I ч{,з,s)-,;? J ч {&) - ч 16. Evaluate the followiпg expressioп when,. = З авd 1 = 2. 4 ол. 81 ов. -36 о с. 21 1 �D.324 17. Siшplify: (6:i- �х -� 5) '----2...--- 3 1 d х. - ЗО,/ -Jt,,'' <-ЧС>-" _ _,,,_ +-S (1.ix 3 - 'jь.. �,38,,, +�") 0 А. 12х3 -46х2 + 38х - 5 О В. 12х3 - 14х2 - 42х + 5 О С. 12х3 + 14х2 - 42х - 5 8D.12x 3 -46x2 +38x+5 18. Wlшt is tlie geeatest comшon factor (GCF) ofthe nюnomials shown below? (!) а з, .�� 1t •""-j. 8",e.J ,½4о e,..i, {j,) ...5,.....,.Jlt:.1.� po""'«r а� C,D мtV-\ Vt< -5) ;;, (х + ч ){.х + J) ;J {х.;ч)С><�J Ct-.J.. tr4N◄tde CONSTRUCTED-RESPONSE QUESTIONS Al.1.1 1. Alena is packing а Ьох that has а height of one inch more than twice the width and а length of two inches less than three times the width, as shown in the diagram below. 2х+ 1 ._______v Зх- 2 А. х Write а polynomial expression, in simplified form, that represents the volume of the Ьох. Vo 1..._,t-л.<-d)(;>х:.;1) ;, ь /2�--:::-------1-3 ., :::1 х ->< - ;;)х с.�ь,, .,,,:i s -::: х(ь х +3х-4х -:J) = Х (6х ;, -х -;;) ) Alena packs another Ьох. This Ьох has а square base with ап агеа of 9х2 - бх + 1 square inches. В. Write an expression to represent опе side length of the base. 13.se. f1....,_, -=- Чх�-ьх +-, - (.3х-1 ;1.Зх -1) Alena has а third Ьох whose height is the same as the first Ьох, but whose volume is бх3 + 15х2 + бх cublc inches. С. Determine how much wider and longer this Ьох is than the first Ьох. Assume that the length of the Ьох has а larger coefficient than the width. Show all your work. Explain why you did each step. ;, ;..(,, ,, r Vо I �ме.-:::: C.x_3_.L/Sx (:,,, ,..J. or-ej +о .f,..,, V«r.'�bl� e.xfr,.s!.l<'f +-� le..�i-l-\ J ""td+-1,, 1,,�,81\ 1--, 'О,' ::-Jx(;>){�-!;$x +- ',]) Зх( ;,х + 1){х +- ;;1) = J 'С 't t\�v-' (f) .т {..,o""fX'r,J +N- е)( �J.S•"'� +1..._ fW.<.v <1,И/, О 1,:/ J�p,u) о../. fc� -J t/..,,� +"2. "/л;.J , ,.,,,_, ;) v-<� ) '"JеГ """" _,, 1,1 Зх -С3х ..;,) 3,-: ..ЗА,i� dJ l",;t �l-\ r'l'-v--' 1 1<--;у ,.1, '. 3х - � 3 ><. >< t\f.-v-1111 Xt-.' -}( ;;i � ([_� ·---•·- ...... �=- ,', ., �J' ----------------!--- '-!J ,) ,'л&.1'41. w.'kr th,,V\ fl., "'1 ,.,,J...i