Advanced structure in expressions

The  exercise appears under the Algebra II Math Mission. This exercise increases proficiency with mathematical translation and comfort.

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


 * 1) Compare the variables as requested: This problem provides an algebraic equation or inequality with several variables. The student is asked to use quantitative comparison to answer the question correctly.Asie1.png
 * 2) Use several expressions to model a situation: This problem provides several expressions or equations in a contextual problem. The student is asked to use these pieces of information to make a model of the situation.Asie2.png

Strategies
Knowledge and comfort with algebra and mathematical translation in word problems are encouraged to ensure success on this exercise.
 * 1) Sometimes plugging in choices for variables can be an efficient way to gain knowledge about structure in a problem.

Real-life Applications

 * 1) Practice with algebraic translation practice increases ability with all word problems.
 * 2) Some of the problems on this exercise are applications.
 * 3) Quantitative comparison skills used to show up on standardized tests, like the SAT, and currently show up on the GRE.