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Primary Discussion Response is due by Wednesday (11:59:59pm Central), Peer Responses are due by Sunday (11:59:59pm Central).

 

Solving Linear Equations and Inequalities

Task Background: Equations and inequalities are very useful in the real world. For example, you may need to buy various items, such as milk and oranges, at the grocery store. If milk costs $3, and oranges cost $0.10 each, you could come up with an equation that gives the total price of $5. Then, you could use a variable (x = oranges) to represent the number of oranges bought. If you know that you have exactly $5 to spend, then an equation could be created:

Cost of milk + (cost per orange × number of oranges) = $5

or

$3 + 0.10x = $5

This equation simply gives you the option to substitute various values of the number of oranges bought for x to ensure that you spend exactly $5.

An inequality, on the other hand, may state that you do not want to spend exactly $5 but that you want to stay below $5. Therefore, this inequality would be created as follows:

$3 + 0.10x < $5

This states that you want to spend less than $5 for the milk and oranges.

When you enter the workplace, you will encounter numerous equations and inequalities that will need to be analyzed and calculated with great accuracy. The importance is to first understand the differences between equations and inequalities and how to solve them.

Part I: Provide a 1-variable linear equation of your own creation. (If you are struggling with coming up with an example, feel free to find one in your textbook.) Explain the techniques, and show the steps used for solving the equation. Check that your solution is correct.

Part II: Using the same 1-variable linear equation that you created in Part I, change the linear equation to a linear inequality (Use either < or >). Explain the techniques, and show the steps used for manipulating the linear inequality. Check that your solution is correct.

Part III: In 1 paragraph, summarize your results by discussing the following:

Part IV: Responses to Other Students

Respond to at least 2 of your fellow classmates with at least a 1-paragraph reply about their Primary Task Response regarding items you found to be compelling and enlightening. To help you with your discussion, please consider the following questions:

 

***Click here for a multimedia tutorial on writing linear equations.***

For assistance with your assignment, please use your text, Web resources, and all course materials.

Reminder: Initial Discussion Board posts due by Wednesday, responses due by Sunday

Students will be expected to post their first initial discussion board posting by Wednesday of each week. Discussion posts will be graded and late submissions will be assigned a late penalty in accordance with the late penalty policy found in the syllabus. NOTE: All submission posting times are based on midnight Central Time.

Students are expected to post their responses to peers by Sunday. NOTE: All submission posting times are based on midnight Central Time.

Primary Task Response: Within the Discussion Board area, write 400–600 words that respond to the following questions with your thoughts, ideas, and comments. This will be the foundation for future discussions by your classmates. Be substantive and clear, and use examples to reinforce your ideas:

Responses to Other Students: Respond to at least 2 of your fellow classmates with at least a 100-word reply about their Primary Task Response regarding items you found to be compelling and enlightening. To help you with your discussion, please consider the following questions:

For assistance with your assignment, please use your text, Web resources, and all course materials.