6.5: Applying Systems of Equations Algebra 1: November 11, 2014

Given the following systems, talk amongst your neighbors about which method would be best to used to solve and why. (But do not solve!)

Suggestions and Hints in Solving: Are there opposites? Is it easy to get opposites? Is a variable already isolated? Is it easy to isolate a variable? In the end, it is your choice!

Creating Systems of Linear Equations: 1.Define the Variables 2.Determine the “Two Types” of Information 3.Create Equations: One for Each “Type” 4.Solve! Kristen spent $131 on shirts. Fancy shirts costs $28 and plain shirts cost $15. If she bought a total of 7, then how many of each kind did she buy? 1.) F represents Fancy P represents Plain 2.) Money Number of Shirts 3.) Money: 28F + 15P = 131 Number: F + P = 7 4.) 28F + 15P = (F + P = 7) 28F + 15P = F – 15P = F = 26 F = 2P = 5

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and Free Response questions worth 11 points each. How many Free Response questions are on the test? 1.) Define the Variables 2.) Determine Two Types 3.) Create Equations:

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended? 1.) Define the Variables 2.) Determine Two Types 3.) Create Equations: