GCCCD Roots Radicals & Quadratic Equations & Arithmetic Operations Worksheet

Assignment Expectations:

Length: 750+ words total for this assignment

Structure: Include a title page and reference page in APA style. These do not count towards the minimal word amount for this assignment.

References: Use the appropriate APA style in-text citations and references for all resources utilized to answer the questions. Include at least one (1) scholarly reference to support your claims. Use in-text citations as needed.

Format: Save your assignment as a Microsoft Word document (.doc or .docx).

Strategy for success:

For each of the questions above, please go beyond the textbook and provide your own insights and analyses. Please use your own words to paraphrase and explain. Whenever you can, please offer real-world examples. Please be as detailed and as thorough as you can in providing mathematical calculations (i.e. beyond textual descriptions). Please do not just describe conceptual logic (even with some numbers) in paragraph format; your solutions should be mathematical equations with step-by-step calculations. Show all work. Where applicable, please include diagrams, graphs and charts.

Note: Please answer as required. Please CLEARLY label each question with the associated answer showing all work. Explain the logic by which you arrive at your mathematical answers. When applicable, show all steps of derivation. Since this is a math course, please do not provide just textual explanations. Please provide any diagrams, charts, graphs or other visualization to support your math. Type out equations and use computer graphs. Please do not submit hand-written images.

This week you will reflect upon “Roots, Radicals, and Quadratic Equations”, answer the following questions (be sure to detail how you arrived at your answer):

1. Explain arithmetic operations with whole numbers, integers, fractions, and decimals.
2. When solving equations, what is done to one side of the equation, must also be done to the other side. Why?
3. Mathematical formulas model phenomena in every facet of our lives. Provide an example of how equations solve problems in a variety of situations.
4. Provide three examples of the rectangular coordinate system, which is the basis for most consumer graphs.
5. Discuss the properties of polynomials.
6. Explain the process of factoring expressions and see how factoring is used to solve certain types of equations.
7. Explain how problems can be solved using rational equations.
8. The trajectories of fireworks are modeled by quadratic equations. The equations can be used to predict the maximum height of a firework and the number of seconds it will take from launch to explosion. Discuss the properties of quadratic equations, and how they are applied as models in various situations.