STUDY-GUIDE Unit 3 Test 1. 'f..,'/ ~'" Which equation can be used to show the slope of a line with points {4, 6} and (2,5)? a) 2-4 b) 5-6 2. 4-2 • 5-6 2-4 6-5 uY-2 5-fa or-- 2-l-f y..,'{ "f.,"J Which equation can be used to show the slope of a line with points (4, -9) and {7, 8)? Kc c a) 8-4 • 7- (-9) c) 8-9 8+9 7-4 7-4 3. Which describes the equation: -4x + 9y a) Proportional 11 ~on-proportional •lmear =8 - L1 - Jl or Y-l J' t ¥j /-Y Circle all that apply _ on -eQOOttlon Is uneor 1f If {f1n bf W( JttfYl 1n 9? mx + b form. G x o.nd y 01re 1n rep oro. fe 1trrru . 4. Each of the tables below shows a relation. Whic relation is a function?@ a) Input (x) Output (y) 1 8 2 12 1 16 17 14 20 15 25 16 Xana (j hOI Vf ex noflfnI! Of o~P b) Input (x) Output (y) • Input (x) Output (y) ® e\Jery mput has Qn ~~ OQf outpu+ €J 5. What represents a non-linear function? a) ( noru st rongnt \In e but ~sief thD Ve"tl LO I } i7 f JeJ {\ J { 1 7' f ) y y 1-::::- \i f)eor X __ ,_, --4 -J -~ -t -I -2 -2 -3 -3 .. ... • c) y !./no-t J (J.J {\J.V\L~to/\ X -t -z ,-3 .. .. -:lc 6. Which statement describes the graph shown. a) The speed increases every 50 miles per hour. b) The speed increases every 2.5 miles per hour. fl The speed increases every .5 miles per hour. 100 y ', 90 10 - w= 80 70 "'10 Distance so 40 30 (miles) 20 10 X 0 10 20 lO 40 50 60 70 Time (Hours) 80 90 100 7. Mrs. Mazzo was grading math tests and gave all of the students who attended extra help a 5 point bonus. Each correct answer was worth 3 points. 4=m~~b Part A: Write an equation in sfope-intercept form. IJ ~ 1.:»K + 5 ;) :4fbf .,Utf t.IJ((tli values represent? )Oirrk ( totaI 5coreJ Part B: What do the input (x) values represent? Part C: What do the output (y) Part D: If Jessica attended extra help and got 25 questions correct. What would h~t:a~oti;) t J : 5 80 ~5 l5 PartE: Answer Yes or No to each of the following questions: Is the relationship linear? ~ ec; Is the relationship between the stu~e~rades a function ofthe number of questions they answer correctly? Is the relationship proportional? . ~\ {CYv-J.., 11- 8. no Look at the table below and write an equation. ( y ~ _ ~ =- L-t""41l ~f... - '-\ y::4~rb \); 4 ( Y) t- b 1-:l, ; 'b +- b "'\4 X I 4 ~ • 8 12 =mx +b) y 13 ~ 29 .. 45 tlto t I~ j .'f)( •3 b ; -2> 9. Find the slope that passes through the points (7, 4} and (10, 12}. '1-1.1 ,,.q rtt: tlf; 10.Find the slope that passes through the points (6, 9} and (3, 11}. 3·C:. • 11.Create a graph using the points below. -4 -3 X y -1 2 -1. 1 i\ 1 Is the table of values a function?Jl.CS__ ( pC\Hes 5 3 y, ne i er-t vert,-c~l If so, is the function linear or non- linear? Explain. llnlC\r/ H 15 ()! Stra19h+ lint 2 12. Graph the equation y = - / 3 x + 6 on the grid below. ' . . : : Sl~~< "::! ~-11\-l -2 3 ' ; " ' ~ '~·' "' y ~ ~ . • l b~ll'l') dOWrll njht ~ 8 5 13. Is the function of Car A linear?~or No Is the function of Car B linear@ or No Is the function of Car A proportional? Yes or~ ~- lnt@ Is the function of car B proportional?eor No Car A: X y or 100 goer t h rOlXJ h oriJ In Car 8: ...;...- 2 200 ~ t 100 I ()CJ 4 6 300 400 - 1 tOU ~ 1oCJ 14. Determine if each equation is a linear function. Explain why or why not. v=sx' linear foncti(Hl i 1 o.nd \1 me in JfD(Jtraf< terrnl <And nave e:~poncntr ar Onf' non 11 nta~ runctJOfl J rx dOlf nut novr an v='tx nonl1neotr functrCflJ v=sx ex ponen1 of one 2x + y =10 l=x+4 Of nego.tJVf Oflf I)( hCAf Oin LXpO!lfflff { {: 3·f and i, x-') l1ncar functtu(}J xand \f are JfJ ffptllrolf ttrmf and navr e'!fOfJffJ/J of OflP nonlinear functton ~ hM em exjJV!lmJ or tvvo. 1s. An elevator was on the tenth floor of an office building. It came down and stopped at the fourth floor. It continued down, s~ng at each of the remaining floors until it reached the first floor. WhiCh graph biSf sfiows the SiOiY? Circle the letter of your answer. B :E a j I nme lime 16 . Yolanda took 16 weeks to save money for a~- For 1he first 8 weeks. she saved $50 each week. For the next 4 weeks Yolanda did not save any money. Then Yolanda saved $50 a week for 4 weeks. When Yolanda took the trip. She spent $500 of her savings. Complete the graph so that it shows Vofanda•s saYings compared to time. 1s. The localiJn of a skier on a sld -- 800 slope--------.----The SKi CC WOJ C\{ttJf top Of tnP Slope and s~Jcd dOV!n hill·' ihtn wciUed Od fhe bottom aftnP Slape for tne ChOlJ(Uft, 01nd +hen ftXJK the Ch{AJ//Jf1 boer up thf Slope e·e 0\+ the top u on or +-he \lor +nf sKfer wen+ dow~ agwn. e1e.