in this video I've taken all of the GED math practice tests and put together 15 similar problems for the first one we're interested in finding the area for this triangle and we could look up the area formula in the formula sheet now we may be tempted to say well B the base that looks like 3.7 but then we don't know the height so if you're given a 90° angle those two things are the base and the height right there so that's what we're going to use and plug in okay let's do our fraction 12 times our base 2.8 and it doesn't matter which one you call which cuz we're just multiplying them together and then times 2.4 and that gives us 3.36 so that is the area there the next one's asking which equation of the line passes through both points but when you have a bunch of answers that are all y equals you could actually plug it into the calculator CU there's a nice table button right here it'll give you yals and then we're just going to type in the right side so we're going to do our negative and then our fraction 1/3 and then the x is right here next to four then minus another fraction 5 over3 okay so we have a now we're going to keep hitting enter till you get to a table and then we want to check this now it does go through -5 0 so it passes through this point but then let's check if it passes through 43 let's go down to the positives but no good because we get 4G -3 so unfortunately it's not a there okay let's type in B but we don't actually have to do the whole thing we just want to remove the negative there so hit delete and then move over and change the minus to a plus and then we have the exact same thing as this okay so let's hit enter but this time when we look at 43 sneak down a little there it is matches perfectly then you can go up to get to5 and that one matches it goes through both points it's definitely B there for this one we're finding the median number of wins for the bucks over the last seven years the Yannis effect and in order to find the median you'll always want to line up your numbers from smallest to biggest and we want to find the one that's right in the middle so just go ahead and cross off the smallest the biggest the next smallest next biggest keep working your way right into the middle if there's only one number that is the median so 46 there that'll always happen when there's an odd number of things there's just going to be one number in the middle but let's say you just had four numbers to find the median you would then find the two in the middle add these together divide by two and that'll give you the median there so those are the two situations that happen in this one we're finding the perimeter for this concert venue to find the perimeter you just want to add the lengths around the outside but as we could see we've got some parts messing so just find anything that goes in the same orientation and then you could see oh that one's just nine slide that over right there and then same thing with the 11 just slide that one down so that's 11 there the one on the right side we actually need to combine the 18 and the six those will both slide over to the right combin to 24 and finally that long green one that's just the 26 plus the 22 so those will add to 48 and finally the perimeter you're just going to add these values all the way around so feel free if you want to use a calculator but I already did it and that'll give us 184 there the next one's a no calculator one so when you're multiplying with decimals you could just start on the bottom right and we'll do 5 * 3 15 carry the one then keep going 5 * 2 10 + 1 11 and then 5 * 4 20 + 1 21 when you move to the second number just go ahead and put a zero right here and then you could go 3 * 3 9 3 * 2 keep going 6 3 * 4 12 and then we're going to add these together start on the right five that'll give us 10 carry the one 1 1 and six 8 2 and two four and drop down the one then we're going to deal with the decimal just count how many you have in the original problem there's three decimal places here one here for a total of four slide in four places boom so same thing as B there when you have backtack parentheses this one's a foil problem and you'll always start by multiplying the first thing here times the first thing here 2x * X the same letter * the same letter becomes squar then you're going to multiply the outsides 2x * 4 but then you're just going to do 2 * 4 8 and keep the X it's positive so plus 8X now we're going to do the inner ones we'll multiply this is actually a five when you have a minus sign in front of a number just think of it as a negative 5 * x - 5x and then -5 * 4 that'll give us -20 then you're always going to combine your two middle terms so we've got 8 minus 5 that'll give us 3x in the middle drop down the first thing drop down the last thing that is our final so D there in this one they've given us equation where T represents the total cost of a pizza and represents the number of toppings so let's highlight that equation how many toppings did a customer order if the total cost was $24.50 now we're trying to find the number of toppings that we should plug in for n right there however they've given us the answers so let's just go ahead and plug in five for n see if all of that combines to 2450 okay let's do it we got 1675 so that would just be a plain old cheese Pizza Plus our 155 per topping we're going to get five of them multipli by five and we get 2450 right off the bat so that was nice that it was the first one but if not we would have just kept moving on and then found the right one that way for this problem we're interested and finding the area for a circle so the first thing we could do is grab the formula for that from the formula sheet now it's going to require us to know the radius but no worries we're interested in Tower three but over here they've given us the radius so we're just going to plug that in for R and that'll give us the total area okay let's go ahead and do PI and then times our radius 0.8 but that one's to the power two or squared so just use that x squ button okay Enter 2.01 so that is the area of cellphone coverage here they've given us an equation of a line and we we want to match it with the correct graph now you'll always start with the thing at the end because this is called the Y intercept it's where you cross the Y AIS perfectly and this one crosses right at -2 so it could be a right away but if we look at B this one crosses at positive2 so that would have a plus two on the outside so that one's out now C that one's at -2 that's good and then D positive2 again so that's no good then you'll deal with the 1/3 now that's the slope it's how you get from one point on a graph to another point that hits at a BSE eye just like this one so to do that we would have to go up one over one 2 3 and then we'd get to that point and that is the slope up 1 over three or 1/3 for C to get to this point we'd have to go up one two 3 and then over to the right one to hit that point perfectly so that would be a slope of 3 over one so as we could see A's got the right stuff so that's it there when they ask a question like this they're really just going to do a substitution we're just going to change this x here to -3 and this one to -3 now we'll have to be a little careful the way that we do it but overall we have a fraction so let's start we got 6 minus when you change a letter into a number it'll always work correctly if you put it in parentheses so we'll put -3 in parentheses and then if it has a power just go ahead and do that with the up arrow on the outside of the parentheses same thing in the bottom we're just changing a letter to a number put it in parentheses -3 and then minus 3 and 25 over2 just hit the button above enter convert it to a fraction so 12.5 and that's it set for that an online order comes in a box with a volume of this if the box has these Dimensions here then how tall is it now because we're talking about a volume a box is the same thing as a rectangular prism we looked up the volume and there it is now we want to find a way to multiply these three things to get back to 5439 but they're wondering how tall it is so H but they're giving us the options so let's just try 11.5 for H let's see if that does the trick so we'll do the length 24 times the width 18.5 times the height 11.5 okay multiplying those volume 5106 but unfortunately not what we're looking for so no worries let's go ahead and run it back let's try 24 * 18.5 * 12.25 which tribe B 5439 that actually gave us what we were looking for so that has to be the correct height there now what if it's not a multiple choice well no worries you could just plug in what you already know underneath each thing and then we want to solve for H here to do that let's multiply these two numbers together those will give us 444 now H is being multiplied by 444 we want to do the opposite so let's divide by that because that'll get these to cancel and then the height is just going to be that divided by that and drum roll it's going to become 12.25 so that's another way to get that answer if it's not a multiple choice for this one we're given a cone and we know its diameter is 5 in the cone can hold 52 cubic in of liquid what is the height well because we're talking about how much it can hold hold on the inside that's the same thing as the volume of a cone look that one up and there it is now to find the volume we need to know R the radius but they've given us the diameter so let's draw this out here the diameter goes all the way across the circle that's five but the radius is exactly half of that so 2.5 so that's what we're going to plug in for R right there now we want to find H the height but once again they've given us all the options for H so let's try eight right there see if the whole thing turns into 52 which is the volume okay let's do it this one has a 1/3 to start and then a pi times our radius 2.5 and that one's squared so once again that x squ times we're going to try the height is eight here and 52.3 five that is going to be the closest to 52 so eight is going to be the winner here because if you try with these other ones for instance let's go back let's grab that formula enter let's go ahead and change it to a seven for instance just to see that'll go all the way down to 45 so that's the one that's closest so that's the correct height there which numbers can you add to keep this table a function now you could always think of a function as a vending machine X is the number that you press Y is what comes out of the vending machine but they've told us don't repeat an ordered pair in other words don't reuse a button so which button have we not assigned a value to yet well out of the options given three is the only fresh one so let's put that there and actually once you put that one there you can put any of the other numbers here you could put four or five any of the other ones are going to be correct so that's all they're looking for just reassign a new number and a new item that it corresponds to and then you've got a function there this one's going to be an inequality when you have these symbols here now we're starting a savings account and we deposit 400 a week into it but let's Jump Ahead a little bit because we're going to do that for five weeks in other words what are we going to do with these two values we're just going to multiply those right to find out how much we have so C does that and D does that but A and B those are jacked up because that would basically multiply 400 * 5% but that's not what we're doing so let's get rid of A and B here from here we want to have at least 275 in our account so which of these symbols is going to be the correct one at the end of the problem well let's look at these notice the top one this one kind of looks like an L so that one means less than and that's the same as this symbol that would mean we earn less than 275 in our account but we want to have at least that or more so the one we want is actually the G that one you could turn into a g that means greater than and that's the thing we're looking for that'll ensure we have at least that amount or greater than that amount in our account so Final Answer C there and one last one here when you're solving an equation and you have a number in front of parentheses just multiply it times the stuff on the inside so we'll get 4 * x 4x 4 * 3 + 12 same thing on the other side 3 * 5 and then 3 * X that'll get 15 - 3x there so we distributed but when you have x's on both sides of the equal sign I always like to get them to the left in other words how do we make this thing disappear well we could add 3x and then do that to the other side that'll get them to cancel on the right side and that's what we want here so then the left side becomes 7 x + 12 = 15 now from here we want to get X by itself but it has this + 12 to get rid of that you could always do the opposite and minus 12 then these will cancel and then 15 minus 12 three on the right side drop the 7x down and finally X is multiplied by S we're going to do the opposite divide by S because then these will cancel and X is just going to equal 3 / 7 or just leave it as a fraction 3 over 7 so I hope this gives you some good confidence going into the test of what to expect let me know what questions you run into we'll see you in the next video doodles