**MAT 116**

http://hwminute.com/downloads/mat-116-week-1-9-complete-course/

**MAT 116 Week 1 Discussion Question 1**

What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain your answer. Can you solve for a variable in an equation? Explain your answer. Write a mathematical phrase or sentence for your classmates to translate.

**Mat 116 Week one DQ 1**

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**What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression for your classmates to simplify using at least three of the following: o Groupings: Parenthesis, brackets, or braces o Exponents o Multiplication or division o Addition or subtraction Consider participating in the discussion by simplifying a classmate’s expression, showing how the expression would be incorrectly simplified if computed from left to right, or challenging the class with a complicated expression. Respond to your initial post and provide your classmates with the answer to your expression.**

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**Mat 116 Week one DQ 2**

**When simplifying expressions, what are some common mathematical operations many students find difficult? Please illustrate by providing an example.**

**MAT 116 Discussion Question 2**

Explain a real-world problem that you used math to solve. What mathematical expressions did you use in your problem solving? Define your variables and explain your expression.

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**MAT 116 Discussion Question 4**

Why is it important to follow the order of operations? What are some possible outcomes when the order of operations is ignored? If you invented a new notation where the order of operations was made clear, what would you do to make it clear?

**MAT 116 Week 1 Discussion Question 5**

Why is it important that you follow the steps rather than solve the problem from left to right?

Write an expression (numbers only) for your classmates to simplify using at least three of the following:

Groupings (parenthesis, brackets, or braces)·

Exponents·

Multiplication or division·

Addition or subtraction·

MAT 116 Discussion Question 7

What resources are available to help you do well in this course? Which resources do you think will help you the most? Why? How do you plan to use the resources available to optimize your learning over the next 8 weeks?

**MAT 116 Discussion Question 8**

What are the four steps for solving an equation? Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation? Explain your answer.

**MAT 116 Discussion Question 10**

Post an equation or inequality from your week 2 readings. Using the four step process of solving equations, explain how you would solve the equation.

Then post an equation or inequality for the class to practice.

**MAT 116 Discussion Question 13**

How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation?

If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality?

Write an inequality and provide a value that may or may not be a solution to the inequality.

**MAT 116 Discussion Question 14**

What are the four steps for solving a problem? Should any other factors be accounted for when solving a problem? Should any factors be accounted for when explaining how to solve a problem?

**MAT 116 Discussion Question 15**

What is the difference between a scatter plot and a line graph? What type of information would be better represented in a line graph?

**MAT 116 Discussion Question 16**

If a line has no *y*-intercept, what can you say about the slope and graph of that line? What if a line has no *x*-intercept? What would be the slope of that line, what would the graph look like?

How would you graph the line y = -1/2x + 2?

**MAT 116 Discussion Question 17**

Address the following:

What similarities and differences do you see between functions and linear equations studied in Ch. 3?

Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.

Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

**MAT 116 Discussion Question 18**

What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.

Describe the values for *x *that may not be appropriate values even when they are defined by your classmates’ function.

**MAT 116 Discussion Question 19**

Systems of equations can be solved by graphing or by using substitution or elimination.

What are the pros and cons of each method?

Which method do you like best? Why?

What circumstances would cause you to use a different method?

**MAT 116 Discussion Question 20**

Post your response to all of the following:

Review examples 2, 3, and 4 in section 8.4 of the text.

How does the author determine what the first equation should be?

What about the second equation?

How are these examples similar? How are they different?

Find a problem in the text that is similar to examples 2, 3, and 4

**MAT 116 Discussion Question 21**

What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain your answer. Can you solve for a variable in an equation? Explain your answer. Write a mathematical phrase or sentence for your classmates to translate.

**MAT 116 Discussion Question 22**

Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression (numbers only) for your classmates to simplify using at least three of the following:

Groupings: (parenthesis, brackets, or braces)

Exponents

Multiplication or division

Addition or subtraction

**MAT 116 Discussion Question 23**

Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or Why not?

Write an inequality for your classmates to solve. In your inequality, use both the multiplication and addition properties of inequalities.

**MAT 116 Discussion Question 24**

How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation?

If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality?

Write an inequality and provide a value that may or may not be a solution to the inequality.

**MAT 116 Week 2 Appendix C Quiz**

**MAT 116 Week 2 Assignment Expressions and Equations Appendix C**

**MAT 116 Week 4 Assignment Solving and Graphing Equations Appendix D**

**MAT 116 Week 5 Discussion Question 1**

Imagine that a line on a graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain.

**MAT 116 Week 5 Discussion Question 1**

Address the following:

What similarities and differences do you see between functions and linear equations studied in Ch. 3?

Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.

Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

**MAT 116 Week 5 Discussion Question 2**

What are the differences among expressions, equations, and functions? Provide examples of each.

**MAT 116 Week 5 Discussion Question 2**

What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.

**MAT 116 Week 6 Assignment Functions and Their Graphs Appendix E**

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**MAT 116 Week 6 DQ 1**

Find a word problem that could be solved using systems of equations from your readings. Post the problem and explain how the equations would be written for that problem. Make sure to establish the variables and explain each equation. For practice during the discussion you may solve other classmates problems.

An airplane flies 1200 miles into the wind in 3 hours. The return trip takes 2 hours. Find the speed of the airplane without a wind and the speed of the wind.

**MAT 116 Week 6 DQ 2**

What are two symbolic techniques used to solve linear equations? Which do you feel is better? Explain why.

§ Post an example for your class to solve.

**MAT 116 Week 7 DQ 1**

How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?

**MAT 116 Week 7 DQ 2**

Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra?

MAT 116 Week 8 Assignment Systems of Equations and Inequalities Appendix F

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**Week 9 DQ 1**

** **Provide one real-world example of when graphing could be useful. Do you think you would ever use graphing in your life to solve problems? Explain why or why not.

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**Week 9 DQ 2**

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What 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 it easier to learn?

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