**Follow the links below to gain access to more than 10 answers to each of the following questions**## Week 1 DQ 1

What four steps should be used in evaluating expressions? Can these steps be skipped or rearranged? Explain your answers.## Week 1 DQ 2

Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?## Week 1 DQ 3

Take a stroll through the Center for Math Excellence located in the library, the classroom, the Adaptive Math Practice program.**What resources did you take advantage of in your previous Math class and which ones do you plan to use in this course? Which resources do you think will help you the most? Why? Experience a Live Math Tutoring session by clicking the**

**Live Math Tutoring**

**link (under Useful Links on the Materials tab). Ask the tutor to assist you with a Week One homework problem or concept. Post the problem or concept a tutor helped you with, the date and time of the tutoring session, and how valuable you think having live tutors with 24/7 availability will be for your success in this course. Please also share which whiteboard tools you found to be most helpful in your discussions with the tutor.**

## Week 2 DQ 1

What is the greatest common factor? How do you know when you have found the greatest one?## Week 2 DQ 2

Explain how to factor the following trinomials forms:*x*2 +

*bx*+

*c*and

*ax*2 +

*bx*+

*c*. Is there more than one way to factor this? Show your answer using both words and mathematical notation.

## Week 2 DQ 3

How do you factor the difference of two squares? How do you factor the perfect square trinomial? How do you factor the sum and difference of two cubes? Which of these three makes the most sense to you? Explain why.## Week 3 DQ 1

How do you factor the difference of two squares? How do you factor the perfect square trinomial? How do you factor the sum and difference of two cubes? Which of these three makes the most sense to you? Explain why## Week 3 DQ 2

What one area from the readings in Week Three are you most comfortable with? Why do you think that is? Using what you know about this area, create a discussion question that would trigger a discussion—that is, so there is no single correct answer to the question.## Week 3 DQ 3

What are the two steps for simplifying radicals? Can either step be deleted? If you could add a step that might make it easier to understand, what step would you add?## Week 3 DQ 4

Why is it important to find non-perfect roots in radical form to simplify the process of performing basic operations with radical expressions?## Week 4 DQ 1

How would you define a rational exponent? Please give an example of a rational exponent. Provide an expression for your classmates to simplify that contains at least one rational exponent, reply to your classmates as they simplify your expression.## Week 4 DQ 2

Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?## Week 4 DQ 3

Do all rational equations have a single solution? Why is that so?## Week 5 DQ 1

What is a fractional exponent? How are fractional exponents and radicals related? Do you prefer using fractional exponents or radicals when performing operations? Why?## Week 5 DQ 2

What role do radical numbers play in your current or future profession? Provide a specific example and relate your discussion to your classroom learning this week.## Week 6 DQ 1

How are these concepts of direct, inverse, and joint variation used in everyday life? Provide examples for each.## Week 6 DQ 2

Watch the Khan Academy video called “Pythagorean Theorem” located on your materials page for this week. How could you use the Pythagorean Theorem for situations you may encounter in life?## Week 7 DQ 1

Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?## Week 7 DQ 2

Quadratic equations, which are expressed in the form of*ax*2 +

*bx*+

*c*= 0, where

*a*does not equal 0, may have how many solutions? Explain why. What is the quadratic formula? What is it used for? Provide a useful example, not found in the text.