Two-variable linear inequalities word problems

The  exercise appears under the Algebra I Math Mission. This exercise practices an ability to translate problems from real-life into algebra, allowing the creation of models.

Types of Problems
There is one type of problem in this exercise:


 * 1) Write inequalities and analyze the word problem: This problem provides a context-driven situational problem where inequalities are employed. The student is asked to write inequalities to correctly model the situation, and then use them to answer whether a particular instance is possible in the problem.Mcwtvi1.png

Strategies
Confidence with translation and knowledge of inequalities are all that is needed to perform this problem accurately and efficiently.
 * 1) The standard form of the inequality is generally the fastest to apply in these problem, that is, write it as Ax+By (inequality)C.

Real-life Applications

 * 1) This exercise is one of the stages to linear programming, an application that is used in several business and social modeling situations.