Hey guys, it's Amelia! Today in math we learned about solving word problems. We learned about the different stages to solving the word problems, and then being able to apply those stages to different types of word problems. The four stages to solve a word problem is; Step 1: Introduce the variables to represent the unknown values (its your let statement) Step 2: Form system of equations involving the variables. Step 3: Solve the system. Step 4: Answer the problem and check the solution! Here is a video to show an example of this for a number applications word problem, Now here is a video to show you an example of a money application word problem. The next video is an example of distance, speed(rate) and time word problem. The last kind of word problem example we went over today was a mixture problem using a system of equations. I hope these examples helped you all understand how to solve word problems better!
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Hi diddly ho, matherinos! It's your friendly neighborhood front row classmate! Ya gurl, Katie. I got some rippin' radtastical ways to show you the elimination method!So first, you're gonna stack up your terms like waffles. Like so. <-- So, after plugging your X variable into one of the original problems, you can use your sickass algebra skills to find Y! Alrighty! You should have your coordinates! Nice! Your work here is done! YEET. BUT WAIT! WHAT IF ONE OF MY TERMS AREN'T THE SAME?Don't worry b, i got you.
Also here's a comic for yall about what happened on Thursday haha
Hello it's Frida and here's a quick review. System of linear equations are more then one linear equation. There are three ways to solve systems with two variables, but so far we have only looked at two. The first is graphically, which means that you get the solution by graphing each line. The point of intersection represents the solution. When two lines cross the number of solutions is 1, when two lines overlap the number of solutions is ∞, and when two lines are parallel the number of solutions is 0.
Hi everyone it's Amy. Today we learned about the equations for horizontal and vertical lines. It's pretty simple, for a horizontal line, the slope=0. Therefore, it has a y-intercept of (0,b). Meaning that x is always 0 and y can be anything, y=b. A vertical line, is when the slope=undefined. Therefore, it has an x-intercept of (a,0). This means that x can be anything and y is always 0, x=a. Another way to remember is that when you have the y-intercept it is always horizontal and when you have the x-intercept it is always vertical. Remember that these values go to infinity unless there is a limit on it. For the last 30 minutes we had a work block. Remember that after we are done this unit we are doing a couple days of course review, then we are voting for the next topic! And when you're picking which one make sure you hear Mrs B in your head saying "they wanted to fricken pull red balls out of bags." and vote for something interesting! Hey guys it's Alex with Friday's blog post on lesson 6.6 - Linear Equations: General Form. On Friday we learned how to do general form. The equation for general form looks like Ax+By+C=0. Just remember that you must have a zero on one side of your general form equation. There are also some rules that go along with general form like A,B,C must be integers and A is a positive. When writing down your general form your x goes first, then your y, then your regular number. For example, if y=7x-9 you need to take the y and move it to the other side making your equation 0=7x-y-9. If any of this was confusing or you're just looking for some more help here are a few videos that could help you. Also at the end of class Katie, Nathaniel, and Morgan all showed the class that they had good "cheat codes" for certain equations on desmos. If you would like to know what those are and how to use them. I'm sure they would be happy to help you!!!!
Have a great weekend everybody!! only a few week left of school until summer!! Hey guys, it's Chef Sarah here to teach y'all how to make a lovely cherry sauce. Tastes great on chocolate torte, ice cream, and linear equations! Here's a picture of the finished product. Yummy right? Looks like five-stars to me! All joking aside though, in this equation y1 and x1 represent a point on the line (and of course m=slope). Knowing the slope and at least one point is very useful, because then you can graph it. This formula could save lives with our Desmos project! But Chef, I hear you saying, what if I don't like cherry sauce and I'd rather have it in a y=mx+(#) format? Well don't worry, because all the ingredients in this recipe can also be used in a y=mx+(#) pie if you use Algebra! Just remember BEDMAS and you'll have a tasty pie in no time. Of course, we have a video to explain it in non-culinary terms down below. We also did a worksheet to help us practice making y=mx+(#) pie. It was a Schwab worksheet with one of those bad jokes." Why didn't the circus manager want their human cannonball to quit?". The joke is terrible, so I'll tell you Campbell's far superior answer; "Because they wanted to fire him instead". That's all folks! Happy cooking!
Happy Tuesday everyone! I hope all of you had an awesome day in the sun! This Karmen with your linear equations blog post. We've been looking at 'slope-intercept form', aptly named considering it's form. This equation uses the slope and y-intercept to form any straight line on the graph (hence linear). Here's the form: y= mx + b It's super big because it's super important: this is the most commonly used line equation form. We'll need to know this, not only for our desmos projects, but also for higher level maths and sciences. As always, the m represents slope, while the b represents the y-intercept. Remember the slope equation (y-y divided by x-x) is also on your formula sheet, so no memorization! This (hopefully) is Josey's awesome post on line intercepts if you need a refresher. When plotting slope-intercept equations on a graph, you should start at the intercept and build the line, using its slope. And we have a line! Whether you start with equation or graph, the concept it the same. So why? Why do we graph and stuff? It's to analyze data points, specifically (in this case) data that rises at steady increments. Naturally, the next step is word problems. I don't have any examples for those, but I'm sure if you asked Ms. Bjornson or a friendly young mathematician they'd be happy to help out. I've included videos below, as well as a little something extra.
(I just found the last one cool.) Hola chicos, it's Olaf. Hope everyone's long weekend has been going great. To recap on a few days ago, Rainbow Week was such a success! It was great to see everyone coming together in solidarity with the LGBT + community plus the treats were really good. Okay but before I get carried away, a quick shout out to our last scribe, because now we know how to graph lines by their slope and point and we learned the formula to find slope. (Rise over Run.) Here is just an easy peasy review of Perpendicular and Parallel lines and their slopes. 1) Parallel Starting off, parallel lines are two lines of a plane that never meet but are the same distance apart. Example: Slopes of Parallel lines have the same basis. They always have the same slope and don't intersect. These lines continue forever (∞) without touching. Slope is a measure of the angle of a line from the horizontal. We know parallel lines must have the same angle, therefore they have the same slope. This graph demonstrates this effect: As we can see, because both lines have a slope of 3/4 and are the same distance apart, it's safe to say it's defiantly an example of a Parallel line slope. 2) Perpendicular So what are perpendicular lines? Well to make it easy, perpendicular lines are lines that meet at right angles which are 90 degrees. It's quick to spot a difference from parallel lines because it intersects. Perpendicular lines have slopes that are negative reciprocals. An example could be: A slope: m = - 4/5 Which if it's changed to perpendicular would be: m(┴)= 5/4 Ex: a/b = -b/a Note: ┴ just represents perpendicular. * Happy Victoria Day! *
Hello it's Frida. Here's a reminder about slope. Slope is the measure of the steepness of a line. The formula for slope is rise/run. The vertical displacement is the rise, and the horizontal displacement is the run. There are two relationships in slope, the first being a direct relationship. This occurs when the rise gets bigger, causing slope to also get steeper. The second is an inverse relationship, which is when run gets bigger, causing slope to get smaller. HOW TO GRAPH LINE WITH POINT AND SLOPE Step 1: Plot known point Step 2: From launch point rise and run according to slope Step 3: Draw a line (with a ruler) through the points making sure that the line goes to the end of the graph or ends with arrows SLOPES FOR HORIZONTAL AND VERTICAL LINES The boring way is to know that horizontal lines have a slope of 0 and vertical lines have an undefined slope (slope doesn't exist), but the fun way is called the LITTLE DUDE METHOD. If little dude can run forever, it has a slope of 0, but if little dude hits a wall, slope is undefined.
Hi, It's Mona :) Here's a quick recap on what a function is, and how to use it. A function is a relation where each x value is related to only one y value. So y values can be related to more than one different x values, but not the other way around. One way of testing if a relation is a function or not is through the vertical line test. To do this you graph the relation and pass a vertical line over the graph. If the vertical line ever intersects the graph more than once, then it's not a function. Functions have a special notation. In function notation, you put an f(x) where you would otherwise use a y. For example, instead of writing "y = x + 6", you would write "f(x) = x + 6". When you are evaluating a function, there is an input and an output. The input is x, so wherever you see an x you can just replace it with your input. The output is whatever f(x) is equal to, once you replace all the x-es with your input. It is also equal to y.
For the second video it's more helpful after about 3:50. (But the first part is also cool :P )
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AuthorWe are the students of FPC Math 10C. Where are you from? Find your green dot!
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