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

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

## Week 1 DQ 1

**How do you differentiate between an expression and an equation? Provide an example of each, where the two are either related to or similar to each other.**

## Week 1 DQ 2

**Are the properties used to solve inequalities the same as those used to solve equations? Explain your answer.**

## Week 1 DQ 3

**How might you graph an equation in two variables in the rectangular coordinate system?**

## Week 1 DQ 4

**What is the slope of a line? Identify the possible values of the slope and the relation to the line they pass through. For example, if the slope of a line is 3 / 2 it means that the rise is 3 and the run is 2 and the line rises from left to right.**

## Week 1 DQ 5

**For people filing a single return, federal income tax is a function of adjusted gross income because for each value of adjusted gross income there is a specific tax to be paid. By contrast, the price of a house is not a function of the lot size on which the house sits because houses on same-sized lots can sell for many different prices.**

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**What other situations between two variables in everyday life can be described as a function?**

**What other relations between two variables in everyday life cannot be described as a function?**

## Week 1 DQ 6

**What is the relationship between an exponential function, such as**

*y*= 2*, and a logarithmic function, such as the logarithm of*^{x}*x*to the base of 2? What values does understanding logarithmic functions allow you to solve for?## Week 2 DQ 1

**How does the maturity value of simple interest**

*A*=*P*(1 +*rt*) compare to the maturity (future) value of compound interest? The formula for the maturity value of compound interest is*A*=*P*(1 +*i*)*where*^{n}*i*=*m*/*n*and*n*=*m***t*.## Week 2 DQ 2

**How does the effective rate compare to the stated rate of interest? What is the purpose of the effective rate?**

## Week 2 DQ 3

**What is an**

*ordinary annuity*? What is the difference between an ordinary annuity and a sinking fund? What is the future value of an ordinary annuity? How is it calculated?## Week 2 DQ 4

**What is the difference between the present value of an investment and the present value of an annuity? How are they computed? What is amortization and how are the payments computed?**

## Week 2 DQ 5

**What is a sequence? Provide an example with your explanation.**

## Week 3 DQ 1

**Given any system of two linear equations in two unknowns, and using either the addition or substitution method, how can you determine when the system is inconsistent or dependent?**

## Week 3 DQ 2

**How does the solution set of a linear inequality in two variables, 2**

*x*+ 3*y*< 4, compare to the solution set of a linear equation in two variables, 2*x*+ 3*y*= 4?## Week 3 DQ 3

**Write a system of equations in two unknowns for the following problem -remember to define the variables:**

**The length of a rectangular swimming pool is 15 feet longer than the width. If the perimeter is 82 feet, then what are the length and width?**

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**What variables would be used to define the length and width?**

**What is the system of equations for this problem?**

## Week 3 DQ 4

**Is there a strategy which explains the step-by-step procedure for solving algebraic word problems? If yes, explain; if no, explain why.**