This week, we learned about rationalizing expressions and equations; linear or quadratic.
We learned that denominator can’t be 0 and because of that there is restrictions, which is also called non-permissible values.
If we look at this expression
We know that x can’t be either 0 or 5 and when we factor both sides, we can see that there is a common of x-5. So, it gets canceled.
This chapter needs alot of practice with factoring.
Every number has a reciprocal except 0.
The reciprocal is shown as 1/x.
1 and -1 has the same reciprocal as the original.
Reciprocal is an inverse of natural number.
Absolute Value is a magnitude of real number without regarding to its signs.
The absolute value has the form of y = |f(x)|, where f(x) is a function.
The x-intercept of the graph of y = f(x) is a critical point also known as point of reflection.
So when there is an absolute value symbol, the line always reflects.
As long as we know the concept of an Absolute Value, it is easy to solve problem solving questions.
This week I have learned how to solve graphing inequalities; linear and quadratic functions.
When the equal sign in a quadratic or linear equation is replaced with an inequality sign, a quadratic inequality in one variable is formed. It also determines the domain and range for one equation. It is a very useful when having graphing skills. I have a example of linear and quadratic equation each above. I find determining whether this equation is true or false hard as I have to plug in random points on the graph, which isn’t labelled, which also determine the shaded parts, depending on whether it is true or false.
Maurice, second tallest among the choir boys, is a fictional character that shows the savageness next to Roger and Jack. He first appears with a black cap with silver badge, shorts, shirt and black cloak. He is not a mean person but thanks to being with Jack, Roger and being a hunter, he feels powerful and bullies the littluns with Roger by breaking sandcastles. He also bullies Piggy with Jack and Roger by not giving him food, calls name, and physically assaults him. He rebels against Ralph, Simon and Piggy by removing the conch and moves to other area with the other hunters. His clothes are torn, he looks dirty and messy as his stay on the island gets longer just like the other boys. He assualts a pig with Roger and Jack. He enjoys sodomizing a pig with them and dances around with other hunters like savages. Jack, Roger and Maurice forshadows darkness and evilness that’s going to upon on the island.
1 “Then Jack grabbed Maurice and rubbed the stuff over his cheeks”(Golding 195).
2 “We’ll raid them and take fire. There must be four of you; Henry and you, Robert and Maurice. We’ll put on paint and sneak up;” (Golding 196).
3 “We ought to have a drum,” said Maurice, “then we could do it properly,” (Golding 165).
- wants a drum, just like the conch
4 “Finally the laughter died away and the naming continued. There was Maurice, next in size among the choir boys to Jack, but broad and grin- ning all the time,” (Golding 27).
- tall and broad, grins a lot
5 “Shorts, shirts, and different garments they carried in their hands; but each boy wore a square black cap with a silver badge on it. Their bodies, from throat to ankle, were hidden by black cloaks which bore a long silver cross on the left breast and each neck was finished off with a ham-bone frill,” (Golding 24).
6 “We shall take fire from the others. Listen. Tomorrow we’ll hunt and get meat. Tonight I’ll go along with two hunters—who’ll come?” (Golding 232).
7 “The hunters took their spears, the cooks took spits, and the rest clubs of firewood. A circling movement developed and a chant,” (Golding 217).
8 “’Pick up the pig.’ Maurice and Robert skewered the carcass, lifted the dead weight, and stood ready,” (Golding 197).
- likes to terrorize littluns
- not to be messed with because of Jack
This week, it was a review week. We were using our time to answer few questions and ask questions if necessary. While doing reviews, I’ve realized that I forgot about Sequences; Geometric and Arithmetic. The most important ones i realized was that I have to know all the formulas to answer most of the questions. After reviewing through the book, I finally understand the chapter fully.
This week, I have learned how to convert General Form into Standard Form
Here is an example
It would be hard to see the values but with enough practice, converting would be no problem.
This week, I learned how to use the table of values in a quadratic formula to find the vertex, x-intercepts, y- intercepts, range, domain, line of symmetry, whether if its maximum or minimum and direction of parabola.
A formulas we could use are and y=(x+b)(x+c)
The vertex of the quadratic is at (p, q) and for the second formula, we know that x can be -b or -c. We could find a by plugging the points.
This method helps us to draw the graph easily.