Problem+Solving

__**STRATEGIES**__

During the problem solving unit, we learned several strategies for solving. The strategies were:
 * 1) Drawing a Diagram
 * 2) Making a Table
 * 3) Writing an Equation
 * 4) Working Backwards
 * 5) Use Formulas
 * 6) Look for a Pattern
 * 7) Test Simpler Cases


 * __EXAMPLES__**

The following problem can be solved two ways. You can make a table or solve algebraically.

Problem: Joe is considering two different video game subscriptions. The first, GamesNow, costs $20 a month and a one-time sign-up fee of $30. The second option, YeahGaming, costs $25 a month and has no up-front costs. How many months will it take before Joe's subscriptions to both cost the same?

Method 1: Method 2: 20x + 30 = 25x -20x -20x =====> 30 = 5x =====> x = 6 6 months!
 * Month || GamesNow || YeahGaming ||
 * 1 || $50 || $25 ||
 * 2 || $70 || $50 ||
 * 3 || $90 || $75 ||
 * 4 || $110 || $100 ||
 * 5 || $130 || $125 ||
 * 6 || $150 || $150 ||

See this video for an example:media type="custom" key="20102068"