Modeling with one-variable equations and inequalities

The  exercise appears under the Algebra I Math Mission. This exercise uses sophisticated word problems to encourage understanding of modeling and solving equations and inequalities via functions.

Types of Problems
There are two types of problems in this exercise:


 * 1) Write and solve an equation: This problem describes a contextual situation and the student is expected to write an equation that models the situation. After doing so, they solve it and write the answer and the equation in the spaces provided.Mwoveai1.png
 * 2) Write and solve an inequality: This problem describes a contextual situation and the student is expected to write an inequality that models the situation. After doing so, they solve it and write the answer and the inequality in the spaces provided.Mwoveai2.png

Strategies
Comfort and experience with word problems and translating between English and mathematics is encouraged to ensure success on this exercise.
 * 1) A problem with half-life is exponential, and will appear as a*(1/2)^(t/T) where a is an initial amount and T is the half-life.
 * 2) A problem with area will be modeled by a parabola.
 * 3) A problem with probability expects knowledge that probabilities are always between zero and one.
 * 4) The numerical answers to the problems are rational numbers, and it does not appear to have a need for decimal approximations.

Real-life Applications

 * 1) The problems in this particular exercise are all real-life applications of using and creating models of one-variable.