This week in Pre-Calc we learned about Solving Quadratic Inequalities in One Variable, Graphing Linear Inequalities in Two Variables, and Solving Quadratic Systems of Equations.

When solving in one variable you first factor the expression, then Determine the zeros, and then using a sign chart (number line) determine your restrictions etc.

When graphing linear inequalities in two variables it is represented by a boundary line and a shading on one side. The boundary line can be a solid line/broken line. If solid it means it is greater than or equal to, and if it’s broken that means it is either less than or greater than. To graph an inequality first graph the equation, then determine whether you have a solid or broken line. Next choose a test point not directly on the line. When you can use (0,0), if the statement at the end is true, shade that side of the line, if not  shade the other side. Always isolate y

When solving Quadratic Systems of Equations you would solve algebraically, either with substitution, or elimination. You could also graph, but if your point of intersection is not on a “pretty” point, you will not be able to be completely accurate. To solve get everything equal to zero.

Systems: What is a system? A system is when 2 or more equations are needed to find a solution. Their point of intersection is the solution. If 2 lines are parallel they will never have a solution. If the lines are the exact same and are right on top of each other there is an infinite number of solutions. The 3 types of solving systems is graphing, elimination, and substitution.

This week in pre- calc was mainly just review for our mid-term. We didn’t learn any new skills but we spent the week strengthening old ones. We did a lot of practice worksheets to help us memorize what we did. When it came to taking the midterm, I feel I did well on the stuff we did earlier on in the year, but I definetely steuggled when it came to graphing quadratics.

This week in pre-calc we learned about modelling quadratics. We also went further into detail about quadratics. This unit is quite difficult, because you need to find certain points by doing a lot of algebra. The most important point to find is the vertex and once you have it you can find the line of symmetry. You can also determine whether you move 1 down over 1, 3 down over 1 etc. If not you multiply those numbers by your “a” to get the other points. I feel I can help myself in this unit by watching youtube videos and asking others to help me when I don’t understand something. Modelling quadratics is definetely a tough part of this unit.