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Wproblem Practice Elimination Using Addition and Subtraction X- 1 ,uo*= lt,.. DATE PERIOD WProblem Practice Elimination Using Addition and Subtraction x- 1. NUMBER FUN Ms. Simms, the sixth 4. SPORTS As of 201-0, the New York ) grade math teacher, gave her students Yankees had won more World Series '.,' * l':; '" "-- this challenge problem. Championships than any other team. In '5-i Twice a number added to fact, the Yankees had won 3 fewer than x+ Y " another number is 15. The 3 times the number of World Series sum of the two numbers is 11. charnpionships won by the second most- 3y-it\"1"-: Lorenzo, an algebra student who was winning team, the St. Louis Cardinals. lzl r L': Ms. Simms aide, realized he could solve The sum of the two teams'World Series ,, t3 the probiern by writing the following championships is 37. How many times \7 ; l"i system of equations. has each team won the World Series? ';.: 1, ; "'j - 't 2x+Y:75 4;'+ r' x' t\tt. i{lJ=_ll \{4;"1 -.:Y I;;* y'1 Use the elimination method to solve the 5. BASKETBALL In 2005, the average system and find the two numbers. ticket prices for Dallas Mavericks games and Boston Celtics games are shown in 2. GOVERNMENT The Texas State the table below. The change in price is Legislature is comprised of state senators from the 2004 season to the 2005 season. and state representatives. The sum ofthe number of senators and representatives is 181. There are 119 more 5':r'6:" |,11;-1 x representatives than senators. How .::,, ri : *- ! rl: ! 1 many senators and how many Soune: Team Marketing Report representatives make up the Texas State o o Legislature? g- .:: ! a r ,15 a. Assume that tickets continue to :. a- 1 rl \ a5 f -: ::' \ \_1i change at the same rate each year e-- \. ?'.r o : :'i after 2005. Let * be the nurnber of o -. ,.; r 5 !" years price 3. RESEI\RCH Melissa wondered how after 2005, andy be the of o an average ticket. Write a system of much it would cost to send a letter by o equations to represent the information o mail in 1990, so she asked her father. € Rather than answer directly, Melissa's in the table. I o father gave her the following s s. a. information. It would have cost $3.20 to o f send 13 postcards and 7 letters, and it o -l would have cost $2.0S to send 6 b. In how many years will the average 5 postcards and 7 letters. Use a system of ticket price for Dallas approximately o equations and elimination to find how equal that of Boston? I much it cost to send a letter in 1990. i= ,93x - :.i'::"'i /1 c} 6 7' in:t ^ o !3 -1 t t I ". - ' -1 D tAF'+ L , i,:'\r\ r',t 3 l. I 1 -i; l ,r' f G ;-; X: f r_t o*r , 1 l-' los *,^-u. g'" t S "'-i G i. -/S, * i.' ;' *i' Lr*$ * \.r:l , *. i*J Chapter 6 \ Glencoe Algebra 1 t =..{_. I f 'r-'L':|'ii / DATE PERIOD ----'----f f: l! \ i?lt i i Word Froblerm PractEce y;.1 L:s 't , \:'- '! 1 Eliminatian Using Multipticationdr. c-. '; s 1. SOCCER Suppose a youth soccer field 4. TRAVEL Antonio flies from Houston has a perimeter of 320 yards and its to Philadelphia, a distance of aboul' r.3,, " !,* 7 t "'' length yards .:r.r measures 40 more than its 1340 miles. His plane travels with the O ; i " Lt*"'" -, r r \ width. Ms. Hughey asks her players to r I, wind and tatrres 2 hours and 20 minutel. 'i. f / deterrnine the length and width of their ' 'At the same time, Paul is on a plane frorp. field. She gives them the following PhiladelphiatoHouston.Sincehisp1ane'ip,-\j}.J.i.' 't -- 3,:) , system ofequations to represent the is heading against the wind, Paul's flighl ,: I 1 p i L,\'"; '$ situation. Use elimination to solve the jl: takes 2 hours and 50 minutes. What was system to find the length and width of Lhe speed of the wind in miles per hour? ' ". "tt - :' - the field. ' | \ 4 r'.' {; ,''t, Ir"'i t'*t- r' " jl";, . 2L+2W=320 + eL-JV:4At's 5. BUSINESS Suppose you start a business i r,o assembling and selling motorized :,, j i r l-t,' , scooters. It costs you $1SOO for tools and ,, /*d-) j - >t t"l li '.]'-,1 /-. ,r/t equiprnent to get started, and the '- ' Ycr) 2. SPORTS The Fan Cost Index (FCI) materials cost $200 for each scooter. Your tracks the average costs for attending scooters seli for $300 each. sporting events, including tickets, drinks, . ..) food, parking, programs, and souvenirs. and solve a system x-:':'l' t.r r rv 9 r..t a. Write of equations 1 1 ' 'According h- .'', " to the FCI, a family of four representing the total costs and Y '\l Htt''*orrld '1 {"r 'r 2 r'r: splnd a total of $592.30 to attend revenue of vour bGinessl tlrg$aior League Baseball (MLB) games ?-...r1:.|r.,.u-t" and oagf^tigtional Basketball Association I t(rv ' ''l-: ' (NBA) game. The family would spend l, O oo $-69113-,1 to attend one MLB and two NBA \l 'a f. games. Write and solve a system of f Describe what the solution means in @ b. o equations to find the farnily's costs for o terms of the situation. l each kind of game according to the FCL 'o ,,r{^\ ':;, '>r*:\.r' .. ,.: ,,.j - ..- I \y,', * ,.t.. rr rr.. 4 *.J= r.'il i -:: *; { ? ,iu /t 'i. | ,.: ,rv - t} :i t\! \ I /r... t ( :! i 6:: -'\ o L, -,'rj.,": 'fl D --1 \ -: - AJf.;.{ -- 3(n.: [,uil F:i,j L\"'"' J € :c 3. ART Mr. Santos, the cuiator of the 1". ':".. children's museum, recently made two o :']- '' '] : .':; '.. purchases of clay and wood for a visiting a. c. Give an example of a reasonable o=: o= !: :-n- number of scooters vou could assemble -{ cost of each product per kilogram. 5 and sell in order to make a profrt, and find the profit you would make for o 1:Ew/;::ii!;til::.:;::i: p t9..!aViGs)i that number of scooters. { W,W{tl'#,gI: - '; o= Q',"'r"-t''1'l o 5 4 $35.50 3 !p ', o.r_. ..-- ,..', f. ";, I u{^,.& ,'-;' Cf o $50.45 I 'I f : i".'",li'i S ^,,"', f_, j;;: !t{'s ; 1 (t' :::"t: t," _ t,] ,:_.- "' i t ' I -.- r1' - 5'i Chapter 6 28 Glencoe Algebra 1 L' ')t.;, !,' ! int 't':'.
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