Week 3 DQ 4
How would you define what a rational exponent is? Is there such a thing as an irrational
Rational: Any number that can be expressed in the form of p/q is rational number where
p and q are integers and q is not zero.
Week 2 DQ 1
What is the greatest common factor? How do you know when you have found the greatest one?
The greatest common factor (GCF) is the largest factor of two numbers. An understanding of
factor is important in order to understand the meaning of GCF.
Week 1 DQ 4
Due by Sunday: Based on your previous experience with studying mathematics, what are in
your opinion the best ways to reduce math anxiety? Include examples that work for you or for
I try my very best to relax and take math one step at
Week 1 DQ 2
Due by Thursday: Do you always use the property of distribution when multiplying monomials
and polynomials? Explain why or why not. In what situations would distribution become
Yes. Polynomials are sums of monomials, so when you mul
Week 2 DQ 4
What one area from the readings in Week Two 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 discussionthat is, so there is no single correct answer
Week 3 DQ 1
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 rational equations easier
to complete or understand?
First of all it is impor
Week 3 DQ 5
What are the two steps for simplifying radicals? Can either step be deleted? If you could add a
step that might make simplifying radicals easier or easier to understand, what step would you
When simplifying radicals, there are two steps t
Week 3 DQ 3
What constitutes a rational expression? How would you explain this concept to someone
unfamiliar with it?
A rational expression is a ratio of two polynomials. A polynomial is an expression that can have
constants, variables and exponents, but:
Week 3 DQ 2
Do all rational equations have a single solution? Why is that so?
All rational equations dont necessary have a single solution however they do have solutions that
cant fulfill the answer. Any solution where the denominator is equal to zero res
Week 1 DQ 1
Due by Thursday: What four steps should be used in evaluating expressions? Can
these steps be skipped or rearranged? Explain your answers.
All expressions containing multiple operations are evaluated in a specific order. The order of
Week 1 DQ 3
Due by Sunday: Imagine your younger relativeof middle school agewas taking an algebra
course and asked for your help. How would you teach the multiplication of polynomials to her?
I would teach them the multiplication of polynomials through ba
Week 4 DQ 6
How are these concepts of direct, inverse, and joint variation used in everyday life? Provide
examples for each.
It costs $8 per person to go to a movie. Write an equation to find the total cost "y" for "x" people
going to a
-Graphing exponential and logarithmic
- Solving exponential and logarithmic
-Using the compound interest formula to
calculate accumulated amounts, interest,
principal, rate, and time
-Using formulas for con
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.
Every perfect square trinomi
Week 2 DQ 2
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more
than one way to factor this? Show your answer using both words and mathematical notation.
There are 3 basic methods:
2. sum of squar
Week 4 DQ 8
Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal
0, may have how many solutions? Explain why.
Often, the simplest way to solve "ax2 + bx + c = 0" for the value of x is to factor the quadratic, se
Week 4 DQ 5
What is the relationship between exponents and logarithms? How would you distinguish between
the two, using both a graph and a sequence?
The exponent of a number says how many times to use the number in a multiplication. A
Logarithm goes the o
Week 4 DQ 4
Is the compound interest formulasuch as would be used to calculate a car loanan example of
a function? If yes, of what type of function is it an example? Why might you identify it with that
type of function?
Compound interest on a loan would q
Week 4 DQ 3
Write a word problem involving a quadratic function. How would you explain the steps in
finding the solution to someone not in this class?
A farmer knows that his rectangular farm is 7200 square feet. In addition, he knows that the
length of t
Week 4 DQ 9
What is the quadratic formula? What is it used for? Provide a useful example that is not found in
The quadratic formula is the solution of the quadratic equation. There are other ways to solve the
quadratic equation instead of using
Week 5 DQ 1
From the concepts you have learned in this course, provide a real-world application of something
that you think has been the most valuable to you? Why has it been valuable?
Having bought various cars over the years, and having had various type
Week 5 DQ 5
If your neighbor asked you to explain what you learned in this course, what would you tell him
I would tell them that this course assists in building skills for performing more complex
mathematical operations and problem solving. These
Week 5 DQ 4
What one concept learned in this course was the easiest for you to grasp? Why do you think it
was easy for you? Which was the hardest? What would have made that hard-to-learn concept
easier to learn?
Working with polynomials was a fairly easy
Week 5 DQ 3
Can you think of one real-world example of when the concept of functions might be useful? Do
you think you will ever use functions in your life to solve problems? If yes, explain how and
why; if no, explain why not.
The real world concept or a
Week 5 DQ 2
How do you think you will use the information you learned in this course in the future? Which
concepts will be most important to you? Explain why. Which do you anticipate will be the least
important? Explain why.
My degree concentrates on heal
Week 4 DQ 2
Which of the four operations on functions do you think is the easiest to perform? What is the
most difficult? Explain why.
Of the four basic operations on functions, addition undoubtedly is the easiest to perform. This is
because collecting an
Week 4 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 solving quadratic
equations easier or easier to understand?
Week 4 DQ 7
Other than those listed in the text, how might the Pythagorean theorem be used in everyday life?
Provide examples of each.
The Pythagorean Theorem states that the sum of the squares of sides of a right triangle, equals
the square of the hypote