module 1 dq 1In your own words, define the term linear inequality and then explain what it means to solve a linear inequality. Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-5=25.mod 1 dq 2In your own words, explain what it means for an equation to have no solutions or an infinite number of solutions. Give an example and explanation of each.mod 2 dq 1Historical evidence has shown that intelligence is not a predictor of math success but motivation is a strong predictor. What have you seen in the first two weeks to either affirm or reject this evidence? What tools in the classroom are you using to aid your learning? Give an example.mod 2 dq 2Explain, in your own words, the product rule of exponents. Why does it work? Give examples.MODULE 3 DQ 1In your own words, explain the process of factoring a trinomial with a leading coefficient that is not equal to one. Why is this process more difficult than when the leading coefficient is equal to one? Give an example.MOD 3 DQ 2How can you tell if a binomial is a difference of two perfect squares? Explain the process of factoring a difference of two perfect squares. Give an example.MOD 4 DQ 1Explain, in your own words, how multiplying and dividing rational expressions is similar to multiplication and division of fractions. Give an example of each and compare the process.MOD 4 DQ 2When is it necessary to find the least common denominator (LCD) of two rational expressions? Describe, in your own words, the process for finding the LCD of two rational expressions. How is factoring related to this process? Give an example.MOD 5 DQ 1What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.MOD 5 DQ 2Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What makes two radicals likeradicals? Give an example.MOD 6 DQ 1What is the square root property and what is it used for? In what form should an equation be, in order to use the square root property?When should the square root property be used instead of factoring?MOD 6 DQ 2What is the quadratic formula? In your own words, explain where the quadratic formulacomes from. In particular, how is thequadratic formularelated to the process of completing the square?MOD 7 DQ 1A logarithm is an exponent. Explain, in your own words, why this is so. Justify your explanation with an example.MOD 7 DQ 2Identify a minimum of two properties of logarithms and give an example of each property. Ultimately, what is the purpose of using any of these properties?
