In general, why might it be important to solve an equation for different variables? For example, the equation for degrees Fahrenheit is given by , where C is degrees Celsius. In this example, why—or when—would we want to solve for …
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The graph of opens up if and down if Explain why or how that statement is true. (Hint: consider what happens as x gets more and more positive or more and more negative.) What could be seen or indicated in …
The graph of opens up if and down if Explain why or how that statement is true. Read more »
Will the sum or difference of two radical expressions always yield a radical expression? Will the product or quotient of two radical expressions always yield a radical expression? Explain. Since a negative number times a negative number is always a …
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Describe a real-life situation in which you may want to solve a system of linear equations. What do the y-intercepts represent in your example? What does the solution (or intersection) represent in your example? If there is a food stand …
How can factoring and LCMs help make solving rational equations simpler? Provide an example. Factoring and using least common multiples can help in solving rational equations by seeing what is in the numerator and denominator and find the common parts. …
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What do you find most difficult when factoring trinomials? Which methods of factoring do you find easiest to use (such as FOIL, grouping, ac method, etc.)? Explain. I find grouping the trinomials is the most difficult part. We have to …
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Describe a situation in which using scientific notation (not decimal notation) makes more sense. Also, describe a situation in which decimal notation (not scientific notation) is more advantageous. Scientific notation is basically writing very big or very small numbers in …
Describe a real-life scenario in which you may have to graph (or use) a linear equation. What does the slope represent in your example? What does the y-intercept represent in your example? A real life example of linear equations could …
Describe a real-life scenario in which you may have to graph (or use) a linear equation. Read more »
Explain the difference between finding the following two solutions: What is 15% of 50? 50 is 15% of what? This is a very good example which also could be used to illustrate the very fundamental concept of using and understanding …
Think of some real world examples in which solving or identifying algebraic expressions would be necessary or useful. Explain your examples. There could be different types of real world examples where the use of algebraic expressions might be important or …