Unit 6 Summary Assignment

In this unit 6 I learned solving rational expressions and rational equations. In the ex 1, I have to reciprocal 3x/(x-5). I can remove (x-5) and 3x. So, Final answer is 3x/(x+5), x≠5,-5,0

In the ex 2, I have to find common denominator. It is a (b-1)(b+2).  So,(2b+1)(b+2)-3b(b-1)=18,

2b^2+5b+2-3b^2+3b-18=0,

b^2-8b+16=0,

(b-4)(b-4)=0

b=4.

 

Chapter 3 and 4 Unit summary

This week in Math we learned and talked about Solving Quadratic Equations and Analyzing Quadratic Functions and Inequalities.
Example 1, Complete perfect square. Factor the perfect square, simplify the equation. Finally, take the square root of each side.                                                                                                                                                                                Example 2 is to factor, replace 4x-3 with a variable such A and 3y-2 with a variable such B. Factor the equations. Example 3 is x-intercepts – 2 or -4 and y-intercepts is 4. vertex is we have to change general form to standard form. y=-1/2(x²+2+1-1)-4, y=-1/2(x+1)²+9/2 So vertex is (-1,9/2) Axis of symmetry is same x vertex. So, axis of symmetry is x= -1.

Unit 2 (Math Ms.Burton’s class)

This week in Math we learned and talked about radical operations and equations.  Before this week I had no idea how to solve the radical equations but, I understand now. Example 1, I will explain how to find out arrange the number from least to greatest. First, we have to make a mixed radical as an entire radical. Finally, you can solve it. Example 2 2 Frist, we have to multiply 2√a ^ √a, 2√a ^ √b and √b ^ √a, √b ^ √a. second part is adding all of the numbers. Finally, a ≥ 0, and b ≥ 0 because, if a and b get ≤ 0, it can not be true. √-1^1 = √-1, √-1 ≠ 1 So a ≥ 0, and b ≥ 0.