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Finals Test Prep #2

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Finals Test Prep #2

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good morning and happy Sunday  some so here we go this is our first Kumon test prep number 2  first off what's up what's the gate with an x and y intercept is again you just by looking stop from a graph here to some random linear equations so if I drew you a line here and I asked you where the x intercept say right here try this is where it intersects the x-axis K this is the X stop  so if you look on the accident or frappe what you would notice is that  I'm never going to go up or Honda accent or stopped to get to this point I would go I would go right a certain amount so I would go write a certain number and then I would go up and down zero no matter what my wife Wars net would always be 0-0 here interaction are set for the y-coordinate on the y-intercept if you think about it I will never go left or right to get to my point right I would go left and right zero and then I would go down some number capital? In here so that number to you don't know what that is super random graph with important thing to know is that on the y-intercept X's arrow on action or set where is you're using that information will just plug those in and we'll find those out right on the x intercept so for the x intercept we know that why is there oh so what are we going to do when we plug this in we are just going to put are zero what are the wires right there bone what's go solve for x  Sofia rocks - 1/4 x -1 equals 3 * 0 this is 0 + 5 5 Super Bowl ad wonderful sides  you're going to get 4X  equal 65 * 4 the taxes going to be 3 / 2 search so if Y is 0 accidents 3/2  now the y intercept player sucks see that right here  say what you do player start with the Y intercepts is that X is zero turn the fourth X back my ex's minus 1 equals 3 y Fox 5 since we Departed Action Auto sulfur why what's going to happen here is what time zero is zero so negative one who's 3y + 5 truck fired from both sides  we're going to get Negative next equals 3 y  divide both sides by 3  -2 equals why  so boom there's my wine or soft neck  imma let you do this one I don't know what you do this more on your own  and I'm going to let you do this one on your own I don't know which one I know you have one more of these to do yes actually I'm a let you do that on your own fall over all of the guy from the first one this one right here what is the slope of the line below let's not do this one I'll let you know the deal we need to look at this flow first off I need to recognize that this is a positive 12 okay so it's going to be positive paws let's go this way  Cosmic slop cutest way photo have to worry about the sign really except to leave it positive Eminem don't look at my line and I'm going to see where does it cross perfectly  true four squares right down the middle just a little bit right here so we can't pick that one on here now this one notice how it does cut through this one that previous one what's the point there and let's just keep going down the line until it cuts through perfect again no almost but no not no here we go boom right here try so that we go for what is the slope between these two points while we draw dash line here so we would range  she's here and then we would run get to hear so let's let's look and see what these are my rise would be one too 342 my Verizon S4 and my run is 1 2 3 4 5 6 744 / 7 K next problem same thing here let's look line here and let's see where it it crosses across the spur fect here perfect here perfect here perfect Ears Boom perfect here  perfect here right so if you notice going up by chance so my Swope in this case is going to be so m equals positive or negative slope guy remember you got to remember that okay slope and looking at the last little bit went this way this is a positive slope on the last page or the last problem this is a negative slope it goes this way current social -12 and remember this is counting by chance so it's actually going up it's going it's rising point one Santa running went to carries so 2.1 / .2 and if I if I were to multiply both of these by we would end up with a 1 / 2 or negative one or two right so much slope in this case don't forget it's negative -1/2 K you might recognize that you could have just counted it on the graph as 1 / 2 which would have been fine you just have to be careful whenever you're looking at the graph that the Y and that X change by the same exact number that's why you're able to count me like that in this case Okay so because your your y-axis is going by 4 by .1 and your your Xbox is doing the same thing so that's why you're able to still count them but the first way I did it .1 / .2 is as long as you look at your grid and go by exactly what it's saying you'll never wrong from right next what is the slope of the line whose equation of the following Solutions NADA it right this one in because I forgot to cut and paste it on here so I went ahead and I printed this out this is so your points that it gave you where x equals -4.3 y equals -10 our second Point here was Stacks equals 2.3 y equals -4.5  so I'd like I have your slope formula right here slope formula  recommend that you have these song memorize you have a price for one reason you didn't know when to use them if you ever memorized  that's going to help like me you memorize one use them memorize the situations in which you use in this is what is the slope of a line This is the slope formula for two points enough what you have so you need to know that whenever the situation comes up so  do you want me to do we're going to say m equals  this is why two minus why one just like the formula says I'm just leaving Open brackets here so I can make sure it's plugged in correctly okay so what is y2y have to check I'm just going to check in random order here let's see let me make this one X2 Y2 and let me make the first point X1 y1 does it matter which one I text the wifey was -4.5 why one is -10 best perks to speak with three that's one is -4.3 Christ so -4.5 - -10 is the same as this is the same as a plus 10K minus a minus is a plus so what you're going to get here if you're going to get 5.5  in the denominator stream - + -4.3  his + 4.3 - .3 + 4.3 .65 * decimal when they're both in the chance they're both they're both can't write five points why is 5 and 566 tenths see what you can do you can multiply the numerator and denominator by a 10 that'll move the decimal over one spot right so we would get 4 * 10 / 10 to get 55 / 66 who does we with / 11:11 / 11 / 11 and you would get  me Kohl's 5 / 6 phone next problem  graph the following equation so real quick this is y equals we've done so many what is mx + b k remembers B represents the y-intercept that's where we're going to begin this is the ffbe is the y-intercept find the Y foam  so we're going to go to -7 on the Y where are stuff so just going to start at one two three four five six seven down on this graph and then my slow says right here y equals m that must be so Anna's my slope and M equals to 1 what is it directions to / 1  the slope is positive therefore it goes this way okay I'm going to go I can go up to 1 to write one up to write one up to write in one of two right one if I don't have a where I need to grab as many points as I can cuz you will get marks off if you don't draw straight line lines are straight so whenever you grab them you need to I need to be straight my wife  I'm not perfect but not bad for not having a ruler 7 hear my y-intercept is positive 7 so I'm going to go up 7 1 2 3 4 5 6 7 there's my and my slope is negative 3 -12 scale this way  America turn one two three right one  Sam 3 right one down three right one down three right one down three right one from K I could go up three left one strawberry wine care you sure I do whenever you do this then you can't go wrong right and draw a lot of points you enjoy your line picky about those from need to make sure your slope represents -3/1 at a quiet or else you'll get marked off okay so this is this is one hundred percent on that graph problem what is the linear equation that is graphed below this is be okay brightest y-intercept the y-intercept is 7  famous Lopez what what does it connect what is it after across the street first it's right there cuz I'm up yeah it's like a slope of negative 3 every time I go down 3 I'll go right one three right one so yeah this is a -12 times a negative truck goes this way for this is a -3 y equals SMX plus be here next problem what is the linear equation that has the following Solutions right there's two ways to do this so no matter what though you have to start by finding the slope so what's do that guy says it only near equation once a linear equation when you I have a linear equation unless you have a slope and we don't have a slope yet so let's do this I'm a label this point X2 Y2 next Point X1 y1 and then I'm going to plug in here so remember  Armstrong make Open brackets here so make sure we plug-in perfectly okay so why to is -279 why one is -5 7  sex two is 7 x one is 11 so she here so we got minus a minus  in the numerator which Julia + -279 + 5 + 7 that is 228 7 - 11 is -4 228 divided by 4 is it is 57 for going to do now we're going to plug this in the point slope form this is point slope form right here I'm just doing this because your next one does the same thing here okay fax - X1 we have a slope my slope is m equals -57 I'm going to pick up points so you guys can pick the points you pick either x2y for X1 y1 let's pick this is our point say what kind of starting to problem all over again we're picking either point and we're going to label this X1 y1 now we have a point we have our Point week and we have our slope  that's our point this is our swamp to plug this into the points corn Castle point slope form says why  -1 what is y 1 why one is -279  so why am I nice y1 equals m -57  x X - what was the X1 X1 was 7  current what's the score in the simplified f y - -79 is really why 79  equals I'm going to this is x - 7 I hear let's go ahead and distribute these -57 * X is -57 -57 * -7 is formed this is positive sexy 57.79 340-510-7399 subtract 279 from both sides so y equals 57 x + 120 my equation slope-intercept form to linear equation next going to help you on this next one cuz this is exactly what we're doing on the next problem first we have to find the slope okay so write the point slope form of a linear equation has the following Solutions use exact and simplified no first row first we have to find the slope alright so m equals Y2 - y1 over X2 - X1 try to do this year loan  so I'm going to best xby2 X1 y1 it's going random here so my wife here in this case was -3.5 my why one is 2.5 why humans y1 over X2 -1 -3.5 - 2.5 negative -1.5 minus a negative is really a place 1.5 + 1.53 m equals -6/3 to me right here I have my slope and equals -2 since I'm going to pick up point like I did before let me pick let's see here I'm going to pick this is my X1 so I'm going to pick this as my point right here  going to plug this into point-slope form that's one why one remember it's like I'm starting over with a new formula for point slope form I have a slope I have a point Samsung applaud reason so why - -3.5 y - y1 equals my is -2  x x minus  swan so this is point-slope form the first part of the equations done whose son says you can ask for point slope form but then now it's going to ask us to put it in slope intercept form let's go through here minus a minus is a plus here and then now we have to distribute -2 * x + -2 -2 * -1.5 is positive 3  snack for going to subtract 3.5 from both sides beautiful in slope intercept form so we need to solve for y here so y equals -2.5 * -2x + 3 - 3.5 + -.5 3 - 3.5 is -4 where we got boom negative 2x minus .5 we're almost done here  this next one says graph the following equation since we know how to graph in slope intercept form for what supposed to do those put this in slope intercept form there's other ways to grab these if you want to we're just going to put them in slope intercept form for now  I have shown you the other way the other is the graph the X and Y intercept but instead of doing that since we are so accustomed to slope intercept form let's just was Prince fourth reformed film we subtract 10x from both sides  basically putting in slope intercept form just means you song for why I'm going to get y equals -10 squash fries so what's grasses swim slope of -10/3 let's make awesome points hair foam maycom yes Frozen start at positive 5 on the y-axis  positive five on the y-axis one two three four five then we're probably going to have room to actually SWAT one point cuz my slopers my slope is -10/3 right so we're going to go down one 2 3 4 5 6 7 8 9 10 and write 3 from his my graph for his mypoints use my graph here to make sure Scott right down the middle alright so there's my graph y equals -10/3 x + 5 cool kids sex problem  what is the slope of the line given by the following equation give an exact number order this one before that previous one because all this is asking you to do here is put this in slope intercept form identify the slope the same deal like we need to we need to make this look like y equals MX plus b and how do I do that going to solve for y defeat at The Fray y equals the first thing we're going to do is an add 2 extra both sides whenever I do that I'm going to get 11 y equals 2x + 1  New Divide everything by 11 here so my my question let me get here is y equals 2 / 11 x + 111 so what's my slope my slope is  211 the slope is positive 2/11 right next problem rewrite y equals -9/4 x + 5 12 in standard form it says can't multiply all terms by the common denominator of all three terms equation must be simplified which means all numbers integers that do not share a common factor other than one so what is the what is the common denominator between all the terms well if I have y right here Raiders why over one so what is the common denominator between 1/4 and 12 in other words where to go  safe somehow cancel the page out here and there we go so the comment play between 1/4 inch while the swap so think about that so what we're going to do we're going to we're going to play everytime by 12 can iPhone every term or multiplying it by 12 okay now  this one is this is this Mega 12 y on equal Oceans 12 * -9/4 / remember this is 12 / 1 Samurai can divide these off at a 12 in the numerator Santa for in the denominator said become a 3 over 103 times -9 axis is -27 X Sandman over here I have a 12  Hoover 1 * 5/12 - 12 would divide out and become one so this would just be Simply Be A Plus 5K  now remember I need this to be AF this is Stan 1 ax plus b equals c that's standard form where a B and C are all integers turn soap  I'm going to have 27 axibal sides  and what you going to see this is going to put us in standard cuz if you look at the left side I would now have 27 x  washk12 equals 5 this is standard form right here  phone right next problem I think we have one more don't we don't know what I did was good I miss one  duck math problems with what is the linear equation that has the following Solutions use exact numbers on x equals -25 y -167 x Lake Michael's P20 you're very very final question you're going to do that like you did I'm the one that says what is the linear equation that has the following Solutions are you going to do the final question I hope you're listening right now you're going to be the final question exactly you did this one try  can do it like we did this one or like we did this one so the same exact problem is giving you two points sad it's just asking you to write a linear equation free leader like either one of these two alright so so you have all the tools to do well I hope you're still hope I see some views on these and that people are studying and and I hope you have a great rest your Sunday and I hope you're ready for finals week stuff your first finals week is freshman or you know you probably really hard core finals week I'm sure you had one in 8th grade we had finals before but it just sits steps up a little bit in high school so I hope hope you have an awesome finals week you know that you really buckle down and push hard to do well this week it's a big week live get you ready for college getting into this week and making sure you are ready to go so sorry sorry it's so those of you who watch the video on the weekend I'm proud of you good job way too sweet of you know where to stick it out and work hard on your weekends so alright I will see you tomorrow girl have a wonderful rest of your weekend I hope the Broncos win today even though I'm a charger fan I like Peyton Manning and it's always fun to watch the Patriots lose but I don't think they're going to win what are your pics what are your picks for the Super Bowl I think going to be Patriots against the Panthers so yeah we'll see kind of hard to bet against Tom Brady guys are pretty good enjoy your day I will talk to you tomorrow bye

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