Math 209 Week 5 Ppt

Week Three Content Outline

TOPIC and Objectives

NONLINEAR EQUATIONS

• Solve quadratic equations by factoring.

• Solve rational equations and formulas.

• Solve proportion and variation problems.

• Solve equations involving radical expressions.

• Solve quadratic equations.

• Apply nonlinear equations to real-world problems.

Content outline

1. SOLVE QUADRATIC EQUATIONS.

a. Solve quadratic equations by factoring.

b. Solve quadratic equations using the zero-product property.

1. Solve rational equations.

a. Solve rational equations.

b. Solve formulas for a specified variable.

c. Solve proportion problems.

d. Solve direct, inverse, and joint variation problems.

2. Solve radical equations.

a. Use the power rule to solve radical equations.

b. Solve Pythagorean theorem problems.

c. Solve radical equations using the distance formula.

3. Solve quadratic equations.

a. Solve quadratic equations using the quadratic formula.

b. Solve quadratic equations having complex solutions.

4. The following problems from the text provide real-world applications of concepts learned this week as they apply to the fields of business, health and wellness, science, geometry, sports, and sustainability. These are not required for participation or any assignment.

a. Business

1) Section 6.6, Exercises, problem 69 (Women in the Workforce)

2) Section 7.7, Example 5 (Modeling college tuition) and Exercises, problem 76 (Cost of Tuition)

3) Section 7.7, Exercises, problem 61 (Recording Music)

4) Section 7.7, Exercises, problem 64 (Wages)

5) Section 7.7, Exercises, problem 70 (Transportation Costs)

6) Section 7.7, Exercises, problem 82 (Carpeting)

7) Section 7.7, Exercises, problem 86 (Revenue)

8) Section 11.3, Example 9 (Modeling numbers of Internet users) and Exercises, problem 124 (Internet Users)

9) Section 11.3, Exercises, problem 126 (Trade Deficit)

b. Health and Wellness

1) Section 6.6, Exercises,...