This Blog will be over Chapter 7. Make sure that you type four paragraphs with at least 4 sentences per paragraph. This is due Wed. Jan. 25, 2012 by class time. Value 20 points.
This Blog will be over Chapter 7. Make sure that you type four paragraphs with at least 4 sentences per paragraph. This is due Wed. Jan. 25, 2012 by class time. Value 20 points.
January 19, 2012 at 2012-01-19T03:27:31+00:00 3:27 am
This chapter was kind of hard. It was slot harder than any chapter so far. Some of the stuff was confusing. Hopefully I hot it figured out though.
Some of the stuff we did was easy. Some of it was very hard. Proportions are really easy to figure out. Geometric mean was hard though.
Finding geometric mean of two numbers is easy. When you you have to find x in triangle using it is hard. It’s pretty confusing.
This chapter was tough. I should do alright on the test. If I can get the geometric mean figured out I’ll be fine. If not I might struggle.
January 20, 2012 at 2012-01-20T01:11:28+00:00 1:11 am
Solving an Equation by Graphing-All you have to do is just graph the equation. It works best is both of the equations are in slope intercept form. It is pretty easy to do unless you have to change the equation to slope intercept form. I like these type of problems.
Substitution-These work best if one is in standard form and one is in slope intercept. You just substitute the slope intercept equation into the standard form equation. So you have to have at least one varible by itself. I didn’t Like this way as much as the others.
Elimination-It is easiest when both are in standard form. If one of the varibles are te same numbers and negative and positive it works good. If they are not the same you have to change it so they are. I like this way the best because it cut the first step down.
I think this chapter was really easy. But the hard part was the story problems and substitution. I think i will do good on the test because it is a easy chapter. Mr. Kutcher you are awesome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
January 20, 2012 at 2012-01-20T01:29:59+00:00 1:29 am
Solving Systems by Graphing was farily simple to solve. All you did was find the point where the two lines meet.This was very easy to put in the Geogebra program!!
All has to do with seeing the connecting point of two lines.
Solving Systems Using Subsitution, is your replacing the y or x with what varibles that are given. For exsample if you have y=2+4 on a question that says 5x + 3(y) = 35. You would plug the y=2+4 into the (y) on the question. Finally you slove the equation.
Solving Systems Using Elimination,is where you eliminate one of the varibles to lsove the equation. For exsample if you have the problem 5x-6y=-32 & 3x=6y=48. The best way to solve this is by getting rid of the 6y. By doing that you get 8x+0=16 which you divide by 8 to get x=2.
Over all this was very intresting to learn about…….but i liked the elimination the most. It was my favorite part of this section. The bad part is I need more parctice on my negative signs, cause I always mess up on those.But I like the stuff we started today cause I did this back in Pre-algebra…which makes it so easy to understand.
January 22, 2012 at 2012-01-22T21:57:18+00:00 9:57 pm
In chapter 7 we talked about solving linear equations by graphing, substitution, and elimination. Solving with substitution was the hardest and solving by elimintaion was the easiest. Graphing to solve it was easy but took some time to plug everything in. I will explain all 3 of these to you.
Graphing is found by plugging in all of the equations and finding where the point is. You can find out the number of days it takes for you to get to the point your friend is at or how much items at the store cost. The geogabra program was pretty cool too. You type in the equations and it puts them in slope-intercept form or standard form amd puts the line on a graph for you!
Substitution, the hardest way for me is this. I will show u an example: y=2x+3 and 4x+2y=10 since y=2x+3 you substitute the y in the second equation and it becomes4x+2(2x+3)=10. Then you just simply distribute and solve to find x, after that you plug x into one of the equations and find y. I didnt get it at first but i got the hang of it.
Elimination was the most efficient way to do these. You set either the x or y to the opposite numbers then add both equations. Example: 2x+3y=10 and 2x+y=5 you need to take one equations times -1 to make x opposites in numbers. To make it -2x-3y=-10 then add the 2 together and make it, 2y=-5. then get y by itself and plug it into one equation to find x.
January 23, 2012 at 2012-01-23T17:55:47+00:00 5:55 pm
In Chapter 7 we learned about linear inequalities and graphing their formulas, using the methods of substitution and elimination, and it was kind of hard. I liked graphing and using elimination more than substitution. I couldn’t figure it out.
First of I’ll talk about elimination. all you really do is to eliminate one of them using the thumb rule and do the math from their.
Now its substitution which was hard. you plug in one equation instead of y. then you do the math from there. I didn’t really like this one.
Overall this was an ok chapter, i liked the easy stuff we did at the end of it. Like shading and stuff. So yeah i’ll give this chapter a *** out of 5 so yeah. I’ll do ok on the test.probaly like a C.
January 23, 2012 at 2012-01-23T19:17:11+00:00 7:17 pm
Samantha Johnson
3rd hr
1-23-12
Chapter 7 Blog
What I learned is this chapter was how to read a no solution, linear inequality, elimination method, and substitution method.
No Solution- When the graphs of the equations in a system are parallel with no point of intersection. There is no solution to the system of equations x+ y = 5 and
x + y = -3. When two lines are parallel, there are no points of intersection. So a system of linear equations has no solution when the graphs of the equations are parallel.
Ex. systems with no solution- solve by graphing. (y=-2x +1), ( y= -2x -1)
Linear Inequality- A mathematical sentence that describes a region of the coordinate plane having a boundary line. Each point in the region is a solution of the inequality. A linear inequality describes a region of the coordinate plane that has a boundary line. Graph y< 2x + 3. First graph the boundary line y= 2x +3.
Elimination method- A method for solving a system of linear equations. You add or subtract the equations to eliminate a variable. You can use the Addition and Subtraction Properties of Equality to solve a system by the Elimination method. You can add or subtract equations to eliminate a variable. Solve by elimination (5x – 6y= -32) (3x + 6y= 48). If a=b and c=d , then a = c = b + d. If a =b and c=d , then a -c = b – d.
Substitution method- A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable. You can solve a system of equations by graphing when the solution contains integers or when you have a graphing calculator. Another method for solving system of equations is the substitution method. By replacing one variable with an equivalent expression containing the other variable, you can create a one- variable equation that you can solve using methods.
January 23, 2012 at 2012-01-23T21:24:12+00:00 9:24 pm
Solving an Equation by Graphing-All you have to do is just graph the equation. It works best is both of the equations are in slope intercept form. It is pretty easy to do unless you have to change the equation to slope intercept form. I like these type of problems.Substitution, the hardest way for me is this. I will show u an example: y=2x+3 and 4x+2y=10 since y=2x+3 you substitute the y in the second equation and it becomes4x+2(2x+3)=10. Then you just simply distribute and solve to find x, after that you plug x into one of the equations and find y. I didnt get it at first but i got the hang of it.
Elimination was the easiest, except for a couple of places….It was easy as I got the hang of it.
I <3 ALEGEBRA!!!!
January 23, 2012 at 2012-01-23T21:27:50+00:00 9:27 pm
This chapter was very hard to understand. The whole chapter was confusing to me. I did not know how to use the elimination process. Also I thought substitution was the easiest to do. Graphing them was easy, after finding out what the number was.
To find the number you have to use a process of substitution or replacement. I did stay after to get help one on one and that really did help. Then finding the x and y variable was much easier. After getting one on one time, I could ask better questions and it was easier.
I am considering coming in before school to get help. Algebra is a priority for me this semester. I know after last semester to ask for extra help if I do not understand it during class. Asking questions this time really did help, and I recommend it.
Overall it was hard to ask for help. It gave me more confidence although after I did it. It is better to ask for help that to guess and get wrong maybe. I think if I still with it this semester will be a lot better.
January 23, 2012 at 2012-01-23T22:59:55+00:00 10:59 pm
In chapter 7 we learned about quite a bit of stuff. one of them was elimination. another was graphing two equations. And the other one was substitution.
what you have to do about substitution is pretty easy. the first thing is circle the x or y. then you plug one equation into the other. then once in awhile you have to distribute.
elimination was simple. all you do is get opposites. then you either add or subtract on both sides. then you just divide like a normal eaquation.graphing was also easy you just plugged in the equation and graph.
overall this chapter was really easy. i got mostly hundreds on all of the quizes. im betting ill do great on the test. elimination was easily the easiest.
January 24, 2012 at 2012-01-24T00:06:22+00:00 12:06 am
The chapter started with solving systems by graphing, i thought this was fairly simple. It was really easy if the equations were in point-slope form. All you do on this, is graph the lines and find the point of intersection. There could be the point, no solutions, or many solutions.
Next there was sustitution, which you replace one variable with and equivalent expression. This method takes alot of writing, making it take longer. Next it was elimination, which you solve by eliminating one of the variables. This method was much quicker and needed alot less writing.
Then we had story problems, which always seem to take forever to solve. On this you had to get two equations from the problem, then solve it using one of the three ways. Last we added inequalities to the systems, this you solve by graphing the line then pluging in a point to see which side of the line that all the points will work. Sometimes you can have up to four different lines making an area like a square of points that will work.
I thought this was a pretty easy chapter. My favorite method to use was elimination, which was the shortest method. The story problems will probly be the hardest part of the test. I hope I do good on the first test of the semester.
January 24, 2012 at 2012-01-24T02:51:05+00:00 2:51 am
In this chapter, we learned some new things and relearned some old things too. We talked about the system of linear equations and the solution of the system of linear equations.Basically this is finding the intersection of two lines in three ways. The first way is by graphing the first and second line and finding the point of intersection.
The second and third ways are very similar. Substitution was the long way to do it, elimination was the easy way to do it. Then we did story problems, the worst thing ever invented in math. Towards the last part of the chapter, we learned about linear inequalities and their systems.
We started out graphing one line, then went on to two. When graphing an inequality, you have a dashed or a solid line, which varies by which inequality sign you have. Then we did story problems with those too, but to a lesser extent. You shade to a side depending on your equation of the line.
I thought this chapter was really easy to start out. The worst thing we did for me was story problems. I thought the three methods of finding an intersection of a line was easy. Elimination was the fastest and easiest. I think I will do good on this test.
January 24, 2012 at 2012-01-24T16:10:18+00:00 4:10 pm
Chapter Seven Lesson 1 was about Solving Systems by Graphing. Lesson 2 was about Solving Syestems by Substitution . Lessobn 3 was about Solving Systems by Elimination . Lesson 4 was about Applications of Linear Systems.
Lesson 5 was about Linear Inequalities. Lesson 6 was about Systems of Lineasr Inequalities. The 1st 2nd and third were all about solving systems by various ways. We learned Gaphing Method the elimination Method, and Ths Substitution Method.
Lessons 4, 5, 6 Pretty much just had to do with solving Linear Equations. Like Solutions Of linear equations. And Applications of Linear systems. It was pretty much just that.
I think It Was ok. But I Had a little trouble grasping it. But over It was Pretty ok i guess!?…Oh and I like Geogebra It made dong some of the things I didn’t get easier!!!..
January 24, 2012 at 2012-01-24T18:21:47+00:00 6:21 pm
We start the chapter by solving systems by graphing. Two or more linear equations form a system of equation. The best way to solve two equations in slope intercept form is graphing both of them and finding the point of intersection. Any ordered pair in a system that makes all the equations true is a solution of the system of linear equations.
Sometimes there are no solutions when the two lines are parallel they do not intersect. Some times there are many solutions thats when the two equations are the exact same line. The next method is called substitution. I like this method when there is one line in slope intercept form and one in standard form.
The last method to solving a system of equations is elimination. I like this method when the two equations are in standard form. You can add or subract equations to eliminate a variable. It is a really easy way to do it.
I thought this chapter was easy. Except for the story problems. Those were nonsense. I can do everything good on graphing and the coloring part. I think i will do good on the test
January 24, 2012 at 2012-01-24T18:22:03+00:00 6:22 pm
Two or more linear equations together form a system of linear equations. Any ordered pair in a system that makes all the equations true is a solution of the system of linear equations. Some equation will have no solution. Others will have many solutions.
A method for solving systems of equation is the substitution method. By replacing on variable with an equivalent expression containing the other variable. Another method in the elimination method. You can add or subtract equations to eliminate a variable.
You can graph linear equation once u make the an equation. You do this by turning the more or less than sign into a equals sign. Word problems were another part of the chapter. You solve them in many different ways.
This chapter I thought was a little hard. Especially the story problems I DID NOT like those. They rest was pretty easy. The second hardest would probably be graphing the linear equation.
January 24, 2012 at 2012-01-24T18:22:33+00:00 6:22 pm
In this chapter, we learned about things that we briefly learned about in 7th grade. It was more complex this time though. This time it was almost a refresher. It was an easy/hard chapter where some is easy and others are hard.
System of linear equations is sometimes easy and sometimes hard. When they are in a story problem, I get it sometimes but when they have currents and round trips, I usually don’t do good at all. But when you have to only find the points of intersection it is usually easy. Graphing is one of the most basic things you can do when you graph the equations.
Substitution method is one of the easier things that we have done all year. Elimination is sooo easy. It is on my top 5 things that i find understandable. I haven’t really messed up on this subject yet. All you have to do is get the numbers to be the same and then balance out the equation by getting one of the numbers to a negative, then you have a 1 step equation left to do.
I thought that this chapter was descently easy. On occasions it was difficult. But when you look at graphing, shading, and the elimination method, it is so easy that even I couldn’t fail it. The only thing that i don’t like and didn’t like and probably never will like were the story problems. They are on of the most confusing, in my head type of thing that I accually might never understand. I am probably going to like this semester.
January 24, 2012 at 2012-01-24T18:23:01+00:00 6:23 pm
in chapter seven we mainly learned about graphing. we learned how to graph several different ways.we learned how to find the inersection point. we learned how to find parrellell lines an the same line.parrellell lines have no solution.
the same line haas infinate or many solutions.we learned how to use the substition method. wich is another method for solving a system of equations. you replace one variable with an equivilen exspression containing the other variable.
we learned the elemination method.wih is where you eleminate one variable.then we did story problems. we had to set up the equation and pick a wa to solve it. then we learned about liner inequalities.we started out with one line.then we used two lines.
the chapter was prety easy over all. the hardest part was the story problems. but i think that i will suvive them. their wont be tht many on the test soo i wiil be fine.
January 24, 2012 at 2012-01-24T18:24:27+00:00 6:24 pm
In Chapter 7 we learned about alot! Things such as Solving Systems by Graphing, Substitution, and Elimination, Applications of Linear Systems, Linear Equalities, Systems of Linear Inequalities. So obvioiusly we learned about alot, and all was pretty simple. Solving Systems by graphing was very easy. Especially when you showed us the GeoGebra thing!
Substitution was easy because we were given the points and we just had to plug it in. Elimination was sort of tricky. Cause if you didn’t have a variable that was the same and could eliminate itself, yoou had to multiply each equation by whcihever variable you were wanting to get rid of. And sometimes you had one extra step that made you multiply whichever equaiton by -1.
I didn’t really enjoy Applications of Linear Systems becuase usually you had a story problem which are always going to be very tricky! You had to define a variable, then make a linear equation out of it and it sometimes was hard. Cause say you had 4n+7h= 45 and it was actually supposed to be h+7=45 that could sometimes mess you up. Linear equalities were very easy! I didn’t get them at first but then we I figured out which part needed to be shaded it was easy.. Same with Systems of Linear Inequalities. Say you graphed y>2x+3 and you needed to know what you should shade you would plug the coordinates (0,0) in to your equation. So 0>2(0)+3 that doesn’t work so you shade whichever side that coordinate is not on!
I think I will do very good on this test. I think the easiest parts will be the graphing and shading. The hardest ones will be the story problems.. I do not enjoy those what so ever!! Either way hopefully I get an A or a B on my test!!
January 24, 2012 at 2012-01-24T18:26:39+00:00 6:26 pm
In Chapter 7 we learned about Solving Systems by graphing, Sloving Systems Using Substitution, Solving Systems Using Elimination, Applications of Linear Systems, Linear Inequalites, Systems of Lonear Inequalities. In the first sections of Solving by Graphing was very easy. All you had to do was put the equations into slope intercept form and then graph it. Using the GeoGebra was very very simple.
Solving using substitution and elimination was all so easy. Substitution was a little tricky at first but after a little while was easy. With that you have to have it in slope intercept form as well and for substitution you substitute your numbers in for ‘y’. Elimination was a lot faster way to get your answer. You just eliminate one of your variable, either x or y.
Applications of Linear Systems was harder. I did not like doing story problems. I think they make more sence to me now though. Linear Inequalities we okay. I had a little trouble with them but it got easier as I worked on them more. With Inequalities you have to know your less than, greater than, less than or equal to, and greater than or equal to. If it is equal to than you have a solid line, but if it is just less or greater than it is dashed line. When you have two line and u shade you have to shade in where the lines are shaded both.
This chapter was fairly easy. The worst thing that I did not like was the story problems. The graphing and shading will be the easiest things. I hope and think that I will do good on it.
January 24, 2012 at 2012-01-24T20:00:35+00:00 8:00 pm
I thought this chapter was very difficult well actually just hard. I did not understand many of the concepts. I missed several classes, and the homework is much harder, when you don’t hear the instruction in class. Hearing the instruction helps to make things a little clearer.
I liked using the clickers for quizzes. It is much faster to get the results. It is important to make sure that you get the right clicker. One it makes Mr. Kutcher irritated and some one else gets your score.
Elimination and Substitution were really really hard. I am still can not really do it. I am worried about the test. I think it is going to be very hard. I am not sure how I did on the review.
Graphing I am getting the hang of. Graphing makes sense. The slope is found on the graph and you can tell if the answer is wrong. I hope there is more graphing than anything else on the test.
January 24, 2012 at 2012-01-24T20:43:40+00:00 8:43 pm
Chapter 7 was a a somewhat difficult chapter it definitely wasn’t one of my favorites. There are six sections and some of them were difficult. Section 7-1 Is solving systems by graphing. This sections explains how to do system linear equations and solution linear equations.
Sections 7-2 is solving systems using substitution. This section explains to use thew substitution method. Section 7-3 is Solving systems using elimination. In this section your using the elimination method.
Section 7-4 is solving Applications of linear systems. This section shows you how to put a story problem into the actual problem and then solving. Section 7-5 is solving linear equations. In this section you are using linear inequality and solutions of an inequality.
Section 7-6 is solving Systems of linear inequalities. This section is using the system of linear inequalities. This chapter was somewhat easy in maybe the first two chapters. The last few I really didn’t like because there where so much graphs. And I don’t think I’m going to do a good job on this test because I didn’t like this chapter because I think i struggled way to much.
January 24, 2012 at 2012-01-24T22:00:34+00:00 10:00 pm
In this chapter we learned about equations. Another thing we learned about was how to use subsitution.That is what i learned the best of all things theres some slight things i dont no how to do in subsitution. The very end of subsitution is the hardest for me.
Another thing we learned about is elimination. Elimination is one of three methods. We learned about story problems also story problems are probably the hardest thing in algebra they take very long. We learned about one soulution,many soulutions and infinitely solutions.
We laearned about solutions of an inequality. that is the coordinates of the points that make the inequality true.I learned more about graphs these ones were a little bit harder. I would say subsitution was my best thing but still that was hard.
What i thought about this chapter. This was by far one of my worst chapters. I didnt understand much at all. The graphing and some of the equations were hard. The linear equalities were very hard I didnt understand those. I dont think i will do good on this test
January 24, 2012 at 2012-01-24T22:48:33+00:00 10:48 pm
In chapter 7 section one we learned about solving systems by graphing. We learned how to solve some equations by graphing. The best equations to graph look like y=2x-3 and y=x-l; just as an example. In section 2 we learned how to use the substitution method. The best equations for that method are really any equation.
In section 3 we talked about he elimination process. The easiest equations to use that method on look like this: x- y=-32, so in other words stand form. In section 4 we learned about story problems and applying the three methods to them. And we also learned how to pull information to make the equations of the story problems.
In section 5 we learned about linear equalities. We learned how to take information out of a equation and be able to put it on a graph. Finally in section 6 we learned about basically the same thing as section 5 with linear equalities. Basically the only difference is you are putting two lines on a graph instead of one.
Overall I thought this chapter was ok. Half of it was hard and half of it wasn’t. I understood all of the elimination and substitution parts. I just didn’t quite understand the graphing parts of the chapter. I think I’ll do ok on the test tomorrow!
January 24, 2012 at 2012-01-24T23:02:54+00:00 11:02 pm
In chapter 7 i learned about graphing inequalities and shading them. Also I learned different methods of solving linear equations. They were the elemination method and the substitution method. Overall I thought it was a simple chapter but I still had a hard time figuring out how to shade.
I learned that there could be three different types of solutions. One of them is no solution which pretty much means that the two lines are the same line. Then there was many solutions which means that the two lines are parrallel. Then the third one is just one solution which means that the two lines intersect at a point on the grid.
I also learned the the two methods which again were the elemination and substitution method. Elemination method is where you have two equations and if one of the variables are the same but one is negative you can just add or subtract down. Substitution method is where you have two equations and you plug in the (y) for one of the equations and solve for (y). I think the elemination method is my favorite but substitution is pretty simple to.
Shading was O.K. but if you did the solving wrong it would get very confusing. Also the story problems were tough on me because some of the numbers would be in words then you would skip over them at times instead of really understanding the problem. In this chapter we graphed and shaded inequalities. Overall though i did understand how to do it. Everyone kept asking me for help because they didnt understand.
Over all the chapter, I thought it was a simple but taskful chapter. Meaning even though you had to do alot of hand work to get the answer, it was really easy.
January 24, 2012 at 2012-01-24T23:15:22+00:00 11:15 pm
This chapter was hard for me to get I tried hard but it still a little fuzzy. But I will try my best to explain what I do understand of this chapter. It made me a think and the cogs in my brain to turn if you know what I mean. so her it goes what I learned.
No Solution- When the graphs of the equations in a system are parallel with no point of intersection. There is no solution to the system of equations x+ y = 5 and
x + y = -3. When two lines are parallel, there are no points of intersection. So a system of linear equations has no solution when the graphs of the equations are parallel.
Ex. systems with no solution- so Linear Inequality- A mathematical sentence that describes a region of the coordinate plane having a boundary line. Each point in the region is a solution of the inequality. A linear inequality describes a region of the coordinate plane that has a boundary line. Graph y< 2x + 3. First graph the boundary line y= 2x +3.lve by graphing. (y=-2x +1), ( y= -2x -1)
Elimination method- A method for solving a system of linear equations. You add or subtract the equations to eliminate a variable. You can use the Addition and Subtraction Properties of Equality to solve a system by the Elimination method. You can add or subtract equations to eliminate a variable. Solve by elimination (5x – 6y= -32) (3x + 6y= 48). If a=b and c=d , then a = c = b + d. If a =b and c=d , then a -c = b – d.
Substitution method- A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable. You can solve a system of equations by graphing when the solution contains integers or when you have a graphing calculator. Another method for solving system of equations is the substitution method. By replacing one variable with an equivalent expression containing the other variable, you can create a one- variable equation that you can solve using methods
January 24, 2012 at 2012-01-24T23:18:23+00:00 11:18 pm
In this chapter it seamed quite easy. For some of the class have had a hard time with this chapter. For me it was easy. We learned so much. We learned how to get two points out of an equation. Substitution, elimination and graphing. They were al so easy for me.
The graphing was easy enough for every one. You just graphed and found when the two graphs intersect each other. So if you have two equations and you need to find out where they intersect each other. So when you graph all of the lines and you get where you have the intersection accurse.
Now there is also substitution for finding out where the intersection points are. So if you have the equations y=mx+b and y=mx+b. All that you have to do is put a mx+b in for a y. then you do the two step equation to get the x value. Then when you have the x value you have to plug the x value to find the y value.
And now for another way to find the point of intersection is elimination. All that you manly have to do is get two numbers to the same number but negative and a positive. Then you just add or subtract down. When you get one of the solutions you plug it into one of the original equations
For the chapter it was so easy for me to do. For me it seams that I have done this before. I guaranty that the testing will be easy. I know that for some people it was a hard chapter. I hope that this will be a good test for every one.
January 24, 2012 at 2012-01-24T23:37:48+00:00 11:37 pm
This chaper was kind of easy and kind of hard. I liked the Elimination method and i thought the substitution method was ok. i thought graphing was the easiest though. I didnt understand how to graph the 2 equstion stuff until today though.
Section 1 was Solving systems by graphing. i thought this section was pretty easy. all you had to do was look at the slope and go up or down and over. graphing has always been easy for me. Section 2 was Substitution. This method was just a little bit harder and it took me a little while to get. but i got it after a little bit of help. its not my favorite but it got better. Section 3 was solving the same equations but using Elimination. i liked this one the best and thought it was really easy. i liked how you just put them together.
Section 4 was Story problems. i really hate story problems because they are hard to figure out and they take forever to solve! and i never know how to set them up. This section took a little longer to get. Section 5 was linear inequalities. i thought this was pretty easy because you either had to put a dashed line or a solid line. and you tell by if there is a line under the greater or less than sign. SEction 6 was systems of lineat inequalities. this was a little hard but after it got explained i got it a little more.
Over all i liked this chapter. i thought it was pretty easy to do and i only had a few questions with it. i think i will do ok on the test like always, just got to study.
January 24, 2012 at 2012-01-24T23:48:41+00:00 11:48 pm
In chapter 7 we learned about solving equations by graphing, substitution, and elimination. By graphing all you had to do was find the y and the slope and put it on a graph and find where the lines intercept and we would call it one solution. If the lines are equal to/parallel then we would say that the graph would have no solution. Last if the lines on the graph are on each other then the graph would be considered infinitely many solution.
We also learned how to do the substitution method which basically is where you replace the variable with the other equivalent expression. For example 2x+3y=4 and the other y=6x-7 you would take y=6x-7 and plug it into the first equation like 2x+3(6x-7)=4 then you would distribute and you’d get the answer. There is also another substitution problem that comes up too. For example y=5x-3 and y=7x+4 and you would just equal them up together, like 5x-3=7x+7 then you just put the numbers together like subtract 5 from both x’s and subtract 4 from the other numbers so the equation would look like 4=2x then divide both sides by 2.
Finally we learned about elimination method which you can add or subtract the equations to eliminate one of the variables. So for 5x-6=-32 and 3x+6y=48 you’d add the x’s cancel out the y’s and add the equaled numbers so you’d get 8x=16 which if you would divide that by 8 you would get x=2 then would plug two into one of the equations above and find y. If the x’s don’t cancel out or the y’s don’t either then you would have to multiply it so that one of the variables would cancel out. So for example 2x+5y=-22 and 10x+3y=22 so take the first equation times -5 so the x’s would cancel out so you’d have 10x+3y=22 over -10x-25y=110 and you’d do the same thing like we did above.
We learned a lot in this chapter. I fully get it and on the review I only missed one so I’m pretty comfortable about taking this test. The only thing I don’t like are the story problems, but who does! Overall this chapter was probably my favorite! Also this was done on my moms iPad and I had a hard time getting it posted but I think it’ll work
January 25, 2012 at 2012-01-25T00:46:09+00:00 12:46 am
I thought this chapter was somewhat easy and somewhat hard. The shading was the part that i always did wrong. Elimination was my favorite i didn’t really care for the substitution and graphing was easy. Overall i hope i do good on this test.
One section was solving systems by graphing. This was really easy. I have always been good at graphing. All u had to do was see what your y-intercept is and you will either go up or down then you would fine the slope and go rise over run. This was one of the easiest sections.
Another section was solving systems using elimination. This was my favorite one to do. You had to have one a positive and one a negative. Then you would just solve going down and then you would have to either plug in your y or x and solve for the other one. Sometimes you will have to multiply one by a number to get the same number and you could also multiply both equations. This was easy.
Overall i hope i do really well on the test. I think the easiest will be the graphing and shading. The worst will be the dumb story problems. I really don’t care for them. All i have to remember to do is don’t freak out! Hope everyone does well!!
January 25, 2012 at 2012-01-25T00:46:39+00:00 12:46 am
we learned how to use graphing, elimination, and substitution to solve two equations. by graphing, you just graph and draw the two lines and see where they intersect. by substitution, you kind of link the two equations together and solve. by elimination, you line them up and add or subtract to find the value of the variables.
in applications of linear systems, we dealt with story problems. we learned how to turn the story problems into two equations and solve them. there were a lot of different types of story problems. they were very difficult.
finally, we learned how to use a graph with two linear inequalities. you graph the two lines. then depending on the symbol, you shade to the left or right of each line. there should be four sections then. one empty, one a color, one another color, and one with both colors.
i think using substitution is the easiest. and i remember graphing linear inequalities last year in prealgebra. so those two were easy. graphing was easy to. elimination was okay. but i hate doing the story problems!! did not get those at all!!! hope not too many of them on the test tomorrow lol
January 25, 2012 at 2012-01-25T00:54:07+00:00 12:54 am
I thought that this was a pretty hard section. it was easier once i got the hang of it. i thought that substitution was the worst one of all of them, since it took so long.
graphing wasn’t as hard as it has been. it wasn’t easy, but it wasn’t impossible. they have been much harder in the past. i didn’t like graphing that much.
elimination was the easiest i thought. it was also the fastest. i would use this one if it was up to me. they weren’t that hard as a group though.
the test should not be to hard. its not multiple choice, but that’s ok. i wish it was though. i think i will do ok on the test.
January 25, 2012 at 2012-01-25T00:59:40+00:00 12:59 am
This chapter was mostly review from last year so it was fairly easy. The first thing we learned is how to find the intercept of the two lines by graphing which is pretty self explanitory. Another way is substitution which is when you plug in a slope intercept equation to a standard form. The other way is elimination which is when you take a two standard form equations and add the variables.
We also learned how to do the same process with inequalities. When you graph, you shade in the area where the inequality is pointing to. when graphing two lines, you shade in the area where the two lines point and where they over lap is where many answers to equation can be found. The main point you usually use is 0,0.
The hardest was of course story problems. First you find how much total of the objects. then you put the variables that you use in to get the total in. if theres money involved then you take what each object is worth and see if you need more or less than it.
Like i said, this chapter was overall pretty easy. The hardest was of course story problems, the easiest was graphing the equations. I should do good on the test.
January 25, 2012 at 2012-01-25T01:05:18+00:00 1:05 am
In Chapter 7 there were 6 sections. First was solving systems by graphing, then by substitution, and after that by elimination. We also learned about, the appilications of linear systems. Finally, we learned about linear inequalities and systems of linear inequalities.
To solve systems by graphing you (Example: y=2x-3 & y=x-1) graph -3 on the y-axis and go up 2 over 1 and it keeps going and the same with the other equation. Then you find the point of intersection. Finally, you check your answer. The last step is the most important!
To solve systems using substitution you get at least one variable by itself then one equation for the variable by itself and combine like terms and solve for the other equation. Then check! To solve by elimination the sum of the two coefficient (either x or y) is zero. Then you solve for the opposite coefficient. Then check!
The applications of linear systems is you choose one of the equations and solve for a variable, then find one of the variables, then find the other variable by substituting the value of the other variable. Then check! For linear inequalities you graph the inequality then check (0,0)! In a system of linear inequalities you graph both inequalities and see where the two color are together and that is all of your possible answers.
Chapter 7 was pretty easy it was mostly graphing and solving equations so that was easy. I am glad that we are in the second semester but the first one went so fast. I think I will do real good on the test! I can’t wait until Chapter 8!
January 25, 2012 at 2012-01-25T01:32:26+00:00 1:32 am
ya this chapter was hard. i didnt like how we had to do substittion and all that jazz. i think substitution was really piontless after we learned about elemination.
then we learned about how to graph inequalities. so with those, all you had to do is graph the line and then shade the line. so if you had x is less than 4 then the line should be dotted and shade to the origen because because the origin is true for you test piont.
so for the next thing we had to do is to shade more than one line. that was hard cause we had to shade more than once…. pretty intence. but we made triangles and dimionds with our shading.
so overall this chapter was so hard i FREAKED OUT….. i didn’t like it that much cause i had to show my work. if i fail the test i will not be supried. but i hope i get a A+.
January 25, 2012 at 2012-01-25T01:57:22+00:00 1:57 am
in chapter 7 we learned alot.. stuff i didnt know before. so it took me a little while to understand but now after worjing them out and stayin during seminar i understand now…in lesson 1 we talked about, solving systems by graphing… that wasnt really tht hard. graphing styuff like y=2x-3 abd y=x-1, easy peesy… we had to tell wether is was no solution, many solutions, or one solution.
i have found out in this chapter that asking questions is a good thing!!! if you dont understand a question or something stay for 5 mins sometime and ask question!!
section 2 we talked about substitution… i didnt like this at all…i understand it waaaaayyy better after getting help. substituting something like, y=-4x+8. and y=x+7. was easy cuz u just put them equal to eachother then combine like terms and solve… but when i got confused was when you had this sorta equation… 3y+2x=4 and -6x+y=-7… but you just move the y over then plug it in..
Section 3 was elimination.. this was easy.. this is when the numbers have to be opposite, EX/ 5x-6y=-32 and 3x+6y=48 u just eliminate the oppoiste #s, i get confused when it was like 2x+5y=-22 and 10x+3y= 22.. when there not already opposites… but then i relized tht you just multipy the WHOLE equation by either the x# or the y#. then you eliminate and finish the way you normally would.
section 4 we learned, about linear systems, STORY POBLEMS!!!!! UGH!! i very very strongly dislike these!!!! after i get the equation set up im fine but besides tht im doomed!!!
Linear inequalities were easy!! alls you do is solve an equtaon, sometimes you dont even have to do tht… then you graph it and shade.. some people got confused about the shading part but i got it.. as long as the line dont run through the origin(0,0) then your good and you can check to see which way to shade it. if when you plug 0,0 into your x and y and it is false then you shade teh other way EX/ y<2x+3… plug 0 in… 0<2(0)+3. 0 is less than 3 so you would shade torwards (0,0) if it was false you would shade the opposite wat… these were prolly the easiest thing of this chapter… hardest was subsititution… but now tht i understand them i think i should do o.k. on this test.
January 25, 2012 at 2012-01-25T02:41:42+00:00 2:41 am
In this chapter I leaned so much i thought my head was going to explode
. In the first lesson we learned how to solve systems by graphing. This was pretty easy for me. All we had to do was graph the equations and find the line of intersection and that would be your solution. And learned about systems with no solution. If the lines slope was the same and the y intercept was different then the line is parallel, there is no solution. And we learned how to solve equations and find if there was no solution or infinitely many solutions.
The second section was about the substitution method. The point of this is to get a variable by its self. The way you do this is if you already have a variable by its self then just substitute the equation where there is a variable by its self. Once you fine the solution to either x or y, plug it into the first equation to see if it works, if it doesn’t then you did something wrong.
In section three we went over elimination, it was easy at first but then got complected but i figured it out
. Line the equation up with each other and get a variable by its self. For example 5x-6y=-32, 3x+6y=48. The y would be eliminated because they cancel each other out. The do 5x+3x and you get 8x and you get 8x=16, then just divide them and x=2. Then plug it back in and find what y is.
Section four was over story problems
i extremely dislike them. Section five was over linear inequalities. These were a little tricky . You graph the inequality that is given. In these equations we are using signs so watch out for those. After you graph the line, if the line isn’t going through the point of origin then plug in the point (0,0) for your x and y. If the equation is true then on the graph u would shade to the point of origin. If its false then you will shade away.
Then in chapter six we did the same thing as in chapter five but we did multiply linear equations so it was difficult. Welps thats all i learned it was kinda hard. The story problems killed me
. But everything else was okay. I hope i do good on the test lol. :p
January 25, 2012 at 2012-01-25T02:56:25+00:00 2:56 am
I didnt like ch.7.it was hard and confusing. But at the beging off it all it was simple. But then it got hard. At first we learned about solving systems by graphing.
Then we solved using substitution. That was simple. Then we used elimination. And that was hard at first then you get the hang of it and the it is easy.
Section 7-4 is applications of linear systems. i did nat really understand what that was. Then we had to do linear inequalities. That just sond hard. but it is really easy to do.
After overy thing it was a mixture of over thing. Some of it was hard and some of them was easy. But was of them year really really hard but some of them where really really easy. BUT I STILL DO NOT LIKE THIS CHAPTER.
January 25, 2012 at 2012-01-25T03:21:53+00:00 3:21 am
In chapter 7 we learned a lot. Like using substitution, elimination, and graphing. I liked using substitution because it is really easy. all you have to do is plug in either x or y.
Elimination is also really easy. all you have to do is get either x or y the same number accept opposites of each other then you just add them together. then you divide x or y by the other number. i really liked elimination and substitution.
I kinda liked the graphing section. but there were some parts that were confusing. but there were also easy parts. i liked graphing the systems for linear equations.
I didn’t mind this chapter. there were some parts that were easy and some parts were hard. i think that this chapter was one of the easier ones. hopefully i do well on the test.
January 25, 2012 at 2012-01-25T03:37:02+00:00 3:37 am
we learned system of linear equations. also we learned new ways to graph it and get answers new ways. we learned a subsitution method. we also learned the elimination method.
we also had some story problems in this chapter. i hate story problems. they are my least favorite thing in math. we also learned this thing were you graph the line then you shade the true side.
that was my favorite thing in the chapter was the shading thingy. we also learned about elimination. that stuff was kinda hard for me. but i think i have it figured out now.
i think this chapter was okay mabey a little hard. i hope i will do pretty good on the test. i think i will do alright at least on the test.i hope that chapter 8 is pretty easy i hope.
January 25, 2012 at 2012-01-25T04:41:21+00:00 4:41 am
I think this was the hardest chapter so far. I didnt really understand any of it. I knew how to graph already so that wasnt a problem. The story problems were what killed me.
Substitution was one of the hardest things. I didnt really understand it at all. It took a very long time to do it. Im not good at problems that take a long time.
Elemintation wasnt too bad. When the problem was already lined up it was easy. But when you had to make it lined up yourself it was hard. So it wasnt that bad.
Overall i think this chapter was hard. substitution and elimination were fairly hard. But story problems were insainly hard. I should probably get help on those before the test.
January 25, 2012 at 2012-01-25T05:05:16+00:00 5:05 am
in this chapter we covered alot. we learned to solve problems using many different steps. the easiest was probably elimination. all of this stuff takes alot of time.
i learned something else in this too. it takes alot of work but the problem is almost always right. as long as you work it out. the graphing i think was kind of tough.
the story problems were kinda tough too. it is hard to find all the things you use in the problem. i think if i figure that out the test will be easy. pretty much just use all the numbers in it.
overall i thought this lesson was pretty easy. just show your work. and do all the steps right. i think ill do fine on the test
January 25, 2012 at 2012-01-25T13:47:00+00:00 1:47 pm
Chapter 7 Blog
Substitution is the method were you get one of two variables by itself. So you have an X and a Y variable. You then get Y or X by itself. Then you replace the Y or X that’s not by its self with the Y or X that is by itself. Then you work the problem out till you solve for X or Y. then you plug X or Y in to the equation to solve for the other variable.
Graphing is were you graph your equations to find were they intersect. So you would graph Y=3x+7 and 4x-3y=24. Find out were they intersect at. Then plug the points in to check your answer.
Elimination is the method were you get your Y or X intercepts to be opposites in standard form. Then you add down eliminating the Y or X intercepts. Then solve for X or Y intercepts. Then plug the answer into the equation to solve for the other intercept. Then plug in the points to check answer.
I thought this chapter was really easy except the story problems. Elimination was the fast and probably the easiest thing we’ve been taught yet. I still don’t really understand story problems. But still this was a pretty easy chapter.
January 25, 2012 at 2012-01-25T13:52:55+00:00 1:52 pm
In this chapter, we learned some new things and relearned some old things too. We talked about the system of linear equations and the solution of the system of linear equations.Basically this is finding the intersection of two lines in three ways. The first way is by graphing the first and second line and finding the point of intersection.
The second and third ways are very similar. Substitution was the long way to do it, elimination was the easy way to do it. Then we did story problems, the worst thing ever invented in math. Towards the last part of the chapter, we learned about linear inequalities and their systems.
We started out graphing one line, then went on to two. When graphing an inequality, you have a dashed or a solid line, which varies by which inequality sign you have. Then we did story problems with those too, but to a lesser extent. You shade to a side depending on your equation of the line.
I thought this chapter was really easy to start out. The worst thing we did for me was story problems. I thought the three methods of finding an intersection of a line was easy. Elimination was the fastest and easiest. I think I will do good on this test. i just have to work on the stroy problems
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January 25, 2012 at 2012-01-25T14:32:23+00:00 2:32 pm
In Chapter 7 we learned about linear inequalities and graphing their formulas, using the methods of substitution and elimination, and it was kind of hard. I liked graphing and using elimination more than substitution. I couldn’t figure it out.
First of I’ll talk about elimination. all you really do is to eliminate one of them using the thumb rule and do the math from their.
Now its substitution which was hard. you plug in one equation instead of y. then you do the math from there. I didn’t really like this one.
Overall this was an ok chapter, i liked the easy stuff we did at the end of it. Like shading and stuff. So yeah i’ll give this chapter a *** out of 5 so yeah. I’ll do ok on the test.probaly like a C.
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January 25, 2012 at 2012-01-25T14:44:44+00:00 2:44 pm
Solving Systems by Graphing was easy to solve. All you did was find the point where the two lines meet.This was very easy to put in the Geogebra thing on the computer.
I like elimination the best because i think it is the eAsiest to do. Its easy because if there the same then you just mash them together. You can use the Addition and Subtraction Properties of Equality to solve a system by the Elimination method.
Substitution- A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable. You can solve a system of equations by graphing when the solution contains integers or when you have a graphing calc.
I tjought this chApter was really easy and i liked it. If there was anything i didnt like about tuis chapter then i dont know what it was. Im thinking about eating some mints during the test so im smarter. Or maybe eat an apple.
January 25, 2012 at 2012-01-25T15:58:00+00:00 3:58 pm
Chapter 7 seemed to be really long and hard. It was quite difficult especially when we did shading i would seem to always shade in the wrong spot.
Another part that was difficult was the story problems. I really hated those and so did everybody else probalby. I just didnt know how to set them up at all. So those are gonna be very hard on the test.
The easy parts were the substitution and elimuination parts once i got ahold of it. in the beggining it was hard but once he taught us the easy way it was easy. I liked the elemination way the best.
I like the chapter kinda it was hard at times. But once i got a hang of it it wasnt that bad. The story problems were the hardest part. I hope I do well on the test
January 25, 2012 at 2012-01-25T17:52:44+00:00 5:52 pm
This chapter started out purty easy. I liked graphin until i found out how to do substitution. that is the easiest method we have done. i didnt like doing the story problems.
i really didnt like elimination. it wasnt that bad until u had to multiply both equations by like 5. thats when it got a little confusing.and i also didnt like doing the shading it. it got pretty hard.
i think the best thing i can do it substitution. it is so much simplerir cuz all u gotta do is just plug stuff in for the x or y. it really doesnt get much simplier
i think that i should do pretty good on tthis test. ithe only problems i should run into will be the story problems. they are very diffifcult
January 25, 2012 at 2012-01-25T17:54:18+00:00 5:54 pm
In chapter seven we learned many confusing things that took alot of time to set up and do.We learned alot of things that where kind of confusing.
Most every thing that we did was confusing and difficult. The shading was a little difficult and confusing. The story problems wern’t that hard but i think it is hard to set them up is the only problem.
Probally the easiest part was the substitution and elimination problem, as long as you can memerize which story is which. Elimination was way easier because it didnt take as long as to do.
I didnt think the chapter was all that hard exept setting the problems up. Other then that it wasnt to hard. I just need to know how to set them up.
January 25, 2012 at 2012-01-25T17:55:08+00:00 5:55 pm
In chapter 7 we learned a lot. Like usingg substitution, elimination, and graphing. I liked using substitution because it is reallye asy. All you have to do is plug n either x or y.
We also had some story problems in this chapter. I hate tory problems. They are my least favorite thing in math. We also learned this thing where you gragh the ine then you shade the true side.
I learned that there could be three different types of solutions. One there was many solutions which means that the two lines are parrallel then the third one is just one solution which means that the two lines intersect at a point on the grid.
I think I had done pretty well on this chapter. THough I may need to work on substuting better in the fearture. All in all this chapter was a little fun.
January 25, 2012 at 2012-01-25T18:04:49+00:00 6:04 pm
In chapter 7 we learned alot about Graphing, Elimination, Subsituting, and word problems. Graphing was okay if I could use GeoGebra because it helped me alot. I just need to print off the work so I can show how I got the answer. Then of course there is the longer way of getting the graphing answer. I’m not that good at it so I will need to work on that.
Now elimination I’m am not that good at, but subsituting I love doing it because it makes sense to me. And I am able to work it out without getting too much of a headache afterwards. So back to elimination, it sort of confuses me because I sometimes get the elmination and graphing steps confused. Which would make me get the wrong answer.
Word problems are a different story because they confuse me. Becuase I like it when they give you two eqautions and you have to figure them out. So got to works on those way more though I perfer not to.
January 25, 2012 at 2012-01-25T21:32:59+00:00 9:32 pm
hello.. how bout that ride in hahahaha i guess thats why they call it algebra class. so what i learned in this chapter was alot. it was very difficult. i didnt like it at all.
we learned about the elimination rule. it was the easiest part of the chapter. i loved it alot
. i will do good on that part of the test.
=))))))))))))))))))))))))))) this chaper was really easy haha. mr kutscher teaches so well. i loved the graphing from the equation.
this chapter wasnt to hard. i learned it so well. i think i will do good on the test.
February 17, 2012 at 2012-02-17T17:56:46+00:00 5:56 pm
hello Mr.kutscher. solving systems by graghing was pretty easy i had some trouble on the gragh part but other than that it was piece of cake.. I liked graphin until i found out how to do substitution. Another part that was difficult was the story problems. So back to elimination, it sort of confuses me because I sometimes get the elmination and graphing steps confused.
February 17, 2012 at 2012-02-17T19:20:59+00:00 7:20 pm
I now know that a system of linear is two or more linear equation packed in one. Any ordered pair in a system that makes all the equations true is a solution of the system of linear equation. No solution is when the graphs of the equations are parallel. When two lines that are parallel they never cross.
Many solutions is when the graphs of the equations are the same line. The coordination of the points on the common line are all solution of the system. A system of linear inequalities is two or more linear in equalities together. A solution of a system of linear inequalities makes each inequalities in the system true.
The last method to solving a system of equations is elimination. I like this method when the two equations are in standard form. You can add or subtract equations to eliminate a variable. It is a really easy way to do it.
I thought this chapter was easy. Except for the story problems. Those were nonsense. I do everything good on graphing and bad on some parts. I think i will get it perfect sooner or later. Just takes practice to do it RIGHT.
February 17, 2012 at 2012-02-17T20:05:40+00:00 8:05 pm
Chapter 7 Blog
Elimination it is okay, standard form is easy and I slid through that with little to no problem. Graphing is fine. Substituting is fine also. But word problems are just not my thing.
Word problems are a way different problem with me though. They just confuse me and trip me up. I honestly don’t know what to do with them. I am doing okay with them but other than that we are not friends.
Elimination is easy. I do fine with that. All you have to do is add or subtract. Standard form I can do great with. I love elimination.
Subtraction is what I like the best about this chapter. It’s easy, fun and just simple. I honestly just flew by in that category. Chapter 7 is pretty simple.