SEMESTER 2 FINAL CHAPTER 5 REVIEW
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1 SEMESTER 2 FINAL CHAPTER 5 REVIEW
2 Graphing Using a Chart 1) Graph y = 2x 3 x y y-axis x-axis
3 2) Graph the linear equation. y = x+ 4 y-axis x y x-axis
4 Graphing Horizontal and Vertical Lines 5) y = 4 y-axis x y x-axis
5 Graphing Horizontal and Vertical Lines 6) x = 3 y-axis x y x-axis
6 SLOPE OF A LINE Rise Run slope = rise run
7 SLOPE OF A LINE
8 Find the slope of each line. 7) 8) slope = rise run 9) 10)
9 SLOPE FORMULA y y m = x x Find the slope between the two points: 11)(, 0 7) and ( 4, 1) 12) ( 25, ) and ( 95, )
10 1) 2x + y 3y : I I t I I t I I I I r t... r r p t t t 1 I I t I I I I I I I t I t I t I I I I I t t I I I I I I t r -~-.. r r r " I I I I I I I I t I -... r, r r w- - I I I I I I I I t I I I I I I I I I I I I I I I I I I I I I I I I I f t I I...,. r r - r r 1 I I I I I I I I l. I I I I I t I I I I I t I I I I t I I t I f I t I I I I I I I I I I I t I I I I I I I I I I I I ---- I I I I I t I I I I : : : : : : : : I : , I I I I I t I t t I I I I t I I I I t I t I I I I I t t I I I t I I I I I I I t I I I I I I I I I I t ,... --~ I t I I I t t t I t I I I t I t t : ~ : : ; 1 : : : : I I I I t I I I I I I I ' I I. l t t I I I I I I I t I I I t I t t I I I I I t I t t I I t I I t I I I I I t I I I I I I I I t I I I I I t I I I I I I I I f I I I I I I I I I I I I t t 1 t I 1 I I 4 I t I t I I I t I I I I I I I t t I I I ' t I t I I I I I I t I II I l I I I t II I t t I I t I I I t I i. t I I I I I I I I I t I I I I I I I I I I I I I t I ---- I I t I I I I I I I t I I I t I I I I I I I I t t I t I I I I I I I I f I I t I I I t I I t I I I I I I I I I t I I t I I I I I I t t I t I t I I I I I t I I I I t I I f I t I I I t I I t I I I I 4 I I I I t I t... " I I t I I I I I I I t I I f I I t t I I..... ' '.. '.... " , I I I t I I t I I I I t I t I I t I I t t I t I I I I I t I I I I I I I I I t t I I I I I I t t --- I I I I t f I I t I I I I I I I I II t I I I I t I I I t t I I I I I I I I t I I... t I t I ' I I I I I 1. 1 I I I I I I I I ,...-"- - ~----~---.,...,...-- t I I I I I I I t I I I t I I I I I t t 1 t I I I t I I t ' -.. t., '... ' t ' - 1 I to I t I I t I t I I t I t I I I I t I I t I I I I t I I I ~ t ' t t ' I I I I t I t I I I I I I I t I I I I I I I I t I I I I t t I I I t I t I I 1 I t I t t t I I I I I t I I I t I t I I 1 4 I I I I t I t I I I I I I t I I I I t I t I t I I t t t I t f I I t t I t I t t 1 t i I I I t I t I t!ii , I ' t I I t I t I I I t t t t t I t t I I t I t t I t I I t I t t.... t I t I I t I t I t t I I t I t I I I t I t t --- t I t I t I t I t ~ t I t I I t t I I t I I I t t t t I t I I I t I I t I I t I t I t I t t t I to I t I to I t I t I t I t t :..... '.... t I I I I I I I I I ~ ' t t ' t ' I t I I I I I f I t I I I I I I I I I t I I I t I t I... '.... ' ' I I I I I I t I I I I I t t I I t I I -- 4 I I... t I t I... I I -- t t I I I I t I t I I I I t t I I t I t I I I t 1 t t t t :--- ;.. :-- --~ - -~----t ---:----~ I t I I t t 1 I t I -... t t I I I I.. t t ~---- I t I I I I I I I t I t I I t I t I I I t t I t I I t I t t -..: -.:...!... J... J. ---:...! -.J J J I I I I t I t t I t I I I t I t I t I t I I t I t I I I I I I I t I t I ~----- ' t I I I t I I I I I I I t I I t I I t I I I I I t t I I t I I t t t t I t I I ~--- t I I _,_ I " -- t t "- -~--- t I I --- I I t t I t I t I I I I t I I t t t I t t I t t I I I I t --- I I t t I I I t... I ~ t I. I t I t I t t t I..... ' t t I I I I I I I I I t I I I t I t I
11 2) Lty y + -a.. : : ~ : : I : 1 : 1 r r - r r t r r r- r I 411 I t I t t I t I t t I I t I I I I.. ~---- I ~ : I I :... I S - :... :.. I I I I I I I I I t : : : : I : : : : : I I I t t I I I I I,._- r..., r I I t t t I I I t I t I t I t I I t I I I I I I t t I I I I I I t I I I t I I I I I t I t I t t t t I l t I 1 I t t I I I t I I I I I I t t I I I I t I I I I I -----~ t I I t I t I I I I I I I I I I I I t I I I I I t I I I I I I I I I I I I I I t I I I I I I I t I I t I I I I I I I I : : t : : : : : : I t t e I I I t I I I t I I t I t I t I I t t I I I I t I t I I t I I t I I t I I I t I I I t t t I I t I I I I I I t I I t I I I t I I.. ---~ t t I I t I t I I I I I 4 I I I I I I I I I I t I 'f I I I I t t I I I I I I I I I I t I I I t I I I I I I I I I I I t t I I t I I I I I I I t I I I t I I t t t t I I I I t I I : i f : : i : i. i -----~---- I I - I... t I t I I I t t I I I I I I I I I I I t I I I I I I I I I 1 1 I t I I t ~ : : : J : : : : : t I I I I t I I I I I I I I I I t I I I I t I I I I I I I t t I t I I I I I t t 4 I I t I I I I I I ~ I t I t I I I I I I.. t I I I I I I t I I I t I I I I I I I I I I t I I I I "' "... --~---.a... I I I I I I I I I I t t I I I t I I I I I t t I t I t I I -:--- --:-- t --~----t----:- --~-- :--- t -- ~ - I I I I t I I I I I : : ~ : : : : : : : - --~ I I I I I t t I I t t t I I I I I t t t I t I I I I I t I t t I I I I I Ill I I I... ' ---" ' " I I I I I I I I ---_, I... t. I t I I I I I I I I.. ---~----t -t t----t-- i - t - i --t----:-. : : t : : : : : : : t I I I t I I I I I t I : I I I I I I I 1 I t I I I I I I I -- - ~----~--...,... =- --~-- --~ ----~- -~----..:--- -~ :.. : : ' : : : : : : -- ~ I I I I I I I I I..... '.... t I I I I I I I I I..., ~ - ~ ---:----,----~ ,--- -~--- - t t I I I I I t I I t I I I I I I I t I I I t I t I I I -- -~ , ~ : r : : :... - I : I ; : I I I t t I t I I I I I I. I - I I I t I t t I I I I I I I I I I t t I t I I I I I - - I I I I I - ~ I I I I : : : : : J : : : : I I I f I t I I I 4 I I I I I t I t I... '.. '... I 6 I I I I I I I I I I I t I I lo : : : : : : : : : t I I I t t I I I I -- : t --~ : - t ---~ --- -~- ~.,...,..-~- -. I I I I I I I t I I t I I I I t I I t I t I I I I I I I I I I I I I I I I I I I I I I t I I I I I I I I I I I I I t I I I I I I t I I t : I : : : : : : : : I I I t I I I I I I t I t I I t I t I I I I I I I I t I I I I t I I I I I I t I I I I I I I I t I I ---:-... ~- t -- :----~----~ ~- --~---..,.- I I I I I I t I I I I I a I I t I I I I 1 t I _ t I I I I I I ~-- - ~ - " ---- : : : : : : : : : : t I I t I I I I I t I I I t I I t I I I t I I t I I I I I t I I I t I I 6 I t I I ---- I I I ----~---- I ~-- t - -' I I t I i t I I I I I I t I I I I I I I I 11.. ' ----,. 4 6., I I I I I I t I I I I I I I t I I I I I t I I t I I 6 I t I I I I t I t t, , I I I I I t I I I : : : : : I : : : : I t I I t I I II I I I t I I t t I t I I
12 Solve the systems of equations by substitution. Check you solution afterwards. 5) y == 2x x+3y == 14 6) X== y -3 5x+3y == 1
13 7) 2x-3y == 9 x==2y+2 8) x+ y == -4 -x+2y==13
14 9) x-2y==6 2x+ y == 7 10) 7x+5y == 2 x-y==2
15 Solve the systems of equations by adding/subtracting/multiplicating first. Check you solution afterwards. 11) - 2x + 3 y == 1 7 2x+ y == 3 12) 7x+y==-2 7x+3y == 8
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