This week in precalc we learned how to solve 2 inequalities by combining the equations. this only works when the equations have 2 variables. An important part of this process is when you send one equation to the other side of the equal sign, that they’re being added or subtracted properly or else the whole process will be ruined as the zeros will not be equal.
This week we learned how to solve for quadratic inequalities. When solving for these equations, factoring will be a key point as it gives the zero values. I like using the number line as a visual to find whether or not test numbers would give negative or positive results. Although this method is somewhat time consuming, it shows a simple, step by step way of solving.
This week because the midterm is coming up, we spent the week reviewing in preparation. I mostly went over reviewing ideas from chapter 1. Finding the difference is something critical because “d” is a variable used in almost every formula used for sequences and series, this is the same for the second idea I reviewed where instead I have to find “n”. With the third idea, using the quadratic formula, is another way of factoring. This is important because factoring was not only needed in chapter 3, but a concept needed for the future chapters. knowing how to use the quadratic formula is also critical since knowing this formula can also be used to find the discriminate.
This week we learned how to model using quadratic functions. This is a question I struggled with mostly because I didn’t quite understand the question. I found this question easier to solve when key words are pulled out of the question. In this question the words sum, 20cm, produce, and area were important to keep in mind when solving this. I got the initial equation W+L =20cm because the question asked for the sum. Next I moved the W to the other side on the equal sign, giving me the value of L. Area is found by LxW so all that was left was multiplying by W to get the area; although, in this question W was not provided so the final equation is written area= W(20-W)
This week we learned three different formulas used to help graph. Each of these graph are important because they supply us each with different information used for plotting. To fully graph an equation its important to have all our information and by doing so we need to be able to change from one formula to another. Although we learned how to complete squares in our past units, I found this most difficult in this unit too but at the same time this concept is very important since when doing so it gives us standard form. Standard in my opinion is the best form because it gives us the vertex and line of symmetry. When in standard form, convert into other forms seems easier.