Directions: This week you will reflect upon “Roots, Radicals, and Quadratic Equations” as well as review the entire course material. Answer the following questions(be sure to detail how you arrived at...

Directions: This week you will reflect upon “Roots, Radicals, and Quadratic Equations” as well as review the entire course material. Answer the following questions(be sure to detail how you arrived at your answer - examples, show work, include vocabulary, etc.). Section numbers are provided in red from the book along with hints on how to answer each question.

1. Explain arithmetic operations with whole numbers(1.1), integers(1.3/1.4), fractions(1.5/1.6), and decimals(1.7).HINT -The question is asking you to explain the arithmetic operations on whole numbers, integers, fractions, and decimals meaning how do you add/subtract and multiply/divide. What are the rules? Provide examples.


2. When solving equations, what is done to one side of the equation, must also be done to the other side(2.1/2.2). Why?HINT - Balance. Provide an example problem and show how to solve it.


3. Mathematical formulas model phenomena in every facet of our lives. Provide an example of how equations solve problems in a variety of situations(Ch. 2, 3, 5).HINT -Provideat least two different examplesand show how to solve them.


4. Provide three examples of the rectangular coordinate system, which is the basis for most consumer graphs(4.1). HINT - Include vocabulary, describe the rectangular coordinate system, describe how to graph a coordinate point, use an actual graph, and describe the components.


5. Discuss the properties of polynomials(6.1/6.2).HINT - Answer should explain the following: Types (Monomials, Binomials, Trinomials, Polynomials), Degree of the Polynomial, Rules to Add/Subtract, Multiply/Divide polynomials, etc. Provide examples with work shown to solve.


6. Explain the process of factoring expressions and see how factoring is used to solve certain types of equations(7.1-7.6).HINT - Describe the steps to factor different types of polynomials completely. Provideat least two exampleswith work and solutions.


7. Explain how problems can be solved using rational equations(8.7-8.9).HINT - Describe the steps to solve rational equations completely. Provideat least two exampleswith work and solutions.


8. The trajectories of fireworks are modeled by quadratic equations. The equations can be used to predict the maximumheight of a firework and the number of seconds it will take from launch to explosion. Discuss theproperties of quadratic equations, and how they are applied as models in various situations(Example10.42). HINT -Discuss the properties of quadratic equations: standard form(ax^2 + bx + c = 0), zeros(x-intercepts), methods to find the zeros (factoring, quadratic formula, completing the square - pick one), vertex (maximum or minimum), and how they were applied in various situations
   
   

• 750 word minimum - Keep in mind this is a minimum to reach the "Meet" portion of the rubric.


• Title Page/Reference Page


• At least 1 scholarly reference with in-text citations


• Provide examples with an explanation if you want to receive all points for each question.


• Don't forget the introduction and conclusion.