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Video 3: "Algebra I" ** I. Before you watch the video answer the following questions. The title of the video is "Algebra I"
 * Great Job Francis [[image:manger.gif]]

What do you think this video will be about? I think this video will be about the definition and objectives of algebra, and maybe there will be some examples of the kind of problems algebra studies too. Mention five words you think you might listen to in the video. I think I will listen to words such as “equations”, “integrers”, “numbers”, “polynomials” and “variable”

II. Now click on the following link and watch the video. While watching, please answer the following questions: []

1. Mr. Mc Call is solving three types of equations in this video. Which are those types of equations? He will explain how to solve equations with one variable on one side, equations with the same variable on both sides and equations with multiple variables. 2. What are the two keys he mentions for solving any equation? He suggests to be careful with the additive inverse of each number //a// which is other number //b// that makes true the proposition //a// + //b// = 0; and also to be careful with the reciprocal of each number //c//, which is other number //d// that makes true the proposition //c.d// = 0 3. a. Mention the steps he takes to solve the 1st problem. First, he looked for the variable in the equation. Then, he added the adittive inverse of two at both sides of the equation, for making cero the numbers at the same side of the variable. He was writing the equal sign at every step he did, and he suggested not to forget it. He also suggested being careful with negatives numbers. Then he multiplied by the reciprocal of the ter containig variable coefficient at both sides of the equation. Solving the product, he finally solved the equation finding the value of the variable. b. What kind of equation is this one? This one is an equation with one variable at one side. 4. a. Mention the steps he takes to solve the 2nd problem. First he remembered that distributive property is an order that we must follow when he vade combined operations of sum and product. Then he explained it is needed to rewrite the equation but writing variable just on one side and constants on he other. Then he started solving combined operations requiring distributive property, multiplying when necessary. Then he combined the terms containig variable on one same side. After that, he gathered together the terms containing the variable at one side, any of them, because he said the result will be exactly the same. He did is using additive inverses required. Then he did the same with the terms containing constants. Finally he solved the solution making the variable coefficient equal to one by multipying by the reciprocal at both sides of the equation. Before ending the explanation, he commented that when solution found this way is a fraction, we should check if it could be written as a mixed number or a smaller fraction. b. What kind of equation is this one? This one is a equation with one variable on both side, which is solved using distributive property. 5. a. Mention the steps he takes to solve the 3rd problem. First he looked for the variable whe are trying to solve. Then he takes all the other terms to the other side of the equation using the necessary additive inverses. He found there are some terms that are not constants and have different variables, so they cant not be joind into one, Then he divided each term at bpth sides of the equation by the number that multiplies the variable we want to find, so this coefficient became equal to one. So the equation is solved. b. What kind of equation is this one? This one is an equation with multiple variable for one off the variable 6. a. Mention the steps he takes to solve the 4th problem. Basically, he solved the equation exactly like the past one, but he had to multiply for the coefficient of the variable we are looking before joining terms. b. What kind of equation is this one? This one is an equation with multiple variable for one off the variable, but some variables are now written as fractions. c. What’s the difference between problem 3 and problem 4? The difference between those two problems is that in the first equation our varible was not divided by other, as it was in the second one, so the order to solve the problem is different. 7. Did you like the video? Yes, it was not hard to understand and it is related to a proceedure we use almost every day in different branches of mathematics. 8. What new things did you learn? I did not learn something new, because it is an important proceedure I know since a lot of time, but it is always useful to review and refresh some knowledges.