Your UNIT 3 SUMMATIVE IS ON FRIDAY!!!!!!!!!!!!!!!!!!!!!!!
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The final part of unit 3 is solving inequalities. We use the same ideas from solving equations, such as isolating the variable, using inverse operations, and doing the same thing on both sides of the problem. When we get a solution to an inequality, we graph the solution on a number line. Check out the videos and notes below to help you review! Your UNIT 3 SUMMATIVE IS ON FRIDAY!!!!!!!!!!!!!!!!!!!!!!!
Today we learned that not every equation in the world has one right answer. Up until today, every problem we have solved has had one solution, meaning there was just one correct value for the variable. But today, we found out that some equations have no solution, meaning there is no value in the whole world that we can plug in for the variable and have the equation come out correct. We also learned about equations that have infinitely many solutions, which means that we can choose any number we want to plug in for the variable and the equation will always come out correct. Crazy, right? We can tell if an equation has one solution, no solution, or infinitely many solutions by looking at the last line of the equation after we have solved it. Check out the examples below. Here are a couple of videos you can watch to help you review what we did in class today.
You should get caught up on your equations assignments, because the Topic 2 TEST is next Friday!!!!
Today we started solving equations that required us to use our distributive property skills. We first learned about the distributive property back in 6th grade, and now it is part of our 8th grade equations. When we solve an equation, we want to get rid of any parentheses first by distributing the term outside of the parentheses to every term inside the parentheses. We use multiplication when we distribute. Once we get rid of parentheses, we combine like terms on each side of the equal sign. This is like putting them in families, where we put all of the terms with the same variable together, and we put all of the constants (plain numbers) together. Next we make sure we only have variables on one side of the equal sign. If we have variables on both sides, then we have to pack one of them up and cancel it out to move it to the other side. At this point, we should have a two-step equation. So we undo the addition or subtraction of the constant (plain number) first, and then we undo the multiplication or division last. Still confused? Check out the videos below!
Today we learned how to solve equations with variables on both sides of the equal sides. Our first task is to get all the variables on the same side of the equal sign. To do this, we add or subtract the entire variable term from one side of the equal sign to the other. Here are some examples you can check out: Here are a couple of YouTube videos to help you, too, if you are struggling.
Do Homework 2-2 tonight.
Today we started Topic 2, Solving equations in one variable! We learned how to solve two-step equations. There are a lot of vocabulary words in this topic. You can use the flashcards below to practice and review these words. You can use the Choose a Study Mode drop down to change how you practice these words. You can even play a game with them!
When we solve two-step equations, we use inverse operations to undo the things that have been done to the variable so that we can isolate the variable (get it alone) and find out its value. When we solve two-step equations, we undo the addition or subtraction first, and then undo the multiplication or division. Check out this video from Virtual Nerd for a review of solving two-step equations.
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