This week, there was only 1 chapter that we have learned, and that is Applications of rational equations . There are many tricks in word problems. Ex: Joe is able to drink a whole bottle of water in 5 days, but when Joe and Franc drink it together, they can finish in 2 days. How many days will it take Franc to finish the whole bottle. … Continue reading Week 16 – Applications of rational equations
This week, I have learned how to add and subtract rational expression. First, as it is similar to fractions, you must make the denominator the same Second, we multiply the top number with the opposite denominator. In this picture, since it has the same denominator, you can add or subtract right away. Finally, you simplify. If you see something that are the same, you can … Continue reading Week 15- Adding and Subtracting of Rational Expression
This week, I have learned how to rationalize expressions (quivalent). In the example, we have x+4 and (x-3)x(+4) We first want to divide each sides by x+4 because they are both common. As x+4 / x+4 is 1 the top is 1 and there is x-3 left. Let’s try something harder Now we have a harder example. First we want to take out commons. and … Continue reading Week 14- Quivalent Rational Expressions
This week, I have learned how to find the Asymptotes from a graph of linear. I was very surprised that it was very simple to find. For example on the graph above, x=0 and y=1 This is simple to find since you need to find the gaps between both of them. It is very interesting since I have never seen this kind of graph in … Continue reading Week 13- Finding Asymptotes
This week, I have learned how to graph absolute values. The difference between last week and this unit, There is a lumps everywhere. On the graph, you can see there is a lump in the middle. This is because of absolute value. when you add absolute value signs, the answer can’t be negative. As a result, there is a lump in the middle which is … Continue reading Week 12 – Graphing absolute value
This week, I have learned how to graph inequalities. It is very similar to graph linear graph; however, the difference is that you color. Let’s see this example. It has the same line as linear graphing, however, we can see that there is a shaded area. It is shaded because it proves the equation that all of the shaded part is correct. The equation … Continue reading Week 11- Graphing Inequalities
This week, since there is a mid term, we had time to review our preview units. There was several things that I have forgotten from previous units. As a result, I will now explain the things that I have forgot. What does D and R stand for for Arithmetic and Geometric Sequence. D is for the difference between 2 numbers and R is the ratio … Continue reading Week 10- Math mid term
This week, I have learned how to find the x intercept from a quadratic formula. At the beginning, I was very surprised since the step it took was very simple and understandable. From y= to y= (x+2)(x+6), this was using factoring!!! Since to find x intercept needed factoring, it was very easy. Let’s begin. As I mentioned before, it is factoring. The equation, y=a(x-x1)(x-x2), x1 … Continue reading Week 9- Finding the x intercept (Zeros, Roots)
This I have learned how to find the vertex using y= Finding the vertex is very important to be able to graph. The vertex tells you the y-intercept, the axis of symmetry, and the range and domain. So first, lets put some numbers instead of P and Q. y= When you have this equation, your vertex will always be your P and Q, which is … Continue reading Week- 8 Finding the vertex using y=a(x−p)2+q
This week, I have learned how to use quadratic formula and see if there is a solution to the question. The equation . Using -b+/- If there is a negative in the root sign, then the answer will not work. Example -3+/- -3+/- -3+/- Since there is -20 in the square root, it is not possible. However, if the answer was positive, there will have a … Continue reading Week 7- Using quadratic formula
