PPT-7.6 Systems of Linear Inequalities Word Problems

Goal Use a system of linear inequalities to model a reallife situation Word Problems Most of these problems will not give you a slope and yintercept You will not be writing inequalities in SlopeIntercept Form. Invariant . Inference. Invariants. Dictionary Meaning:. A function, quantity, or . property. which remains unchanged. Property (in our context): a predicate that holds for some, all, or no states. Method 1: Elimination:. . Solve the simultaneous equations 2x + 3y = 5 and x – 2y = 6.. Both of these are linear and so elimination is usually the best method.. 2x + 3y = 5. x – 2y = 6. You will need to get the coefficients of either x or y the same. Multiplying the 2. Word Problems Involving One-Step. Equations and Inequalities. 25R. 25L. Word Problems Reflection. Observe,. Question,. Comment . 10/31/11. 10/31/11. Warm-Up:. Warm-Up: Write and solve inequalities. Thirteen plus a number . Unit: Optimization. Systems of Inequalities. When solving a system of inequalities, you are looking for a SOLUTION SET that satisfies ALL linear inequalities involved.. Steps. Rearrange all rules into Function Form. Notes Part . 13. Systems of Linear Inequalities. Just . like when graphing systems of linear equations, you can graph systems of linear inequalities. . First. , graph both inequalities on the coordinate plane, shading where appropriate. . Solve for x.. 2. . . 3. . . . 4. .  . Unit 3 Day 5: Solving One and Two Step Linear Inequalities. Essential Questions:. How do we graph linear inequalities in one variable? How do we solve one and two step linear inequalities?. A line divides the set of all points in a plane into three disjoint subsets. These subsets are the set of points that lie on the line and the two sets of points that lie on either side of the line. . Lesson Objective: 4.01a. Students will know how to solve word problems using slope. Slope Word Problems. In 2005, Joe planted a tree that was 3 feet tall. In 2010, the tree was 13 feet tall. Assuming the growth of the tree is linear. Goal:. Use a system of linear inequalities to model a real-life situation.. Word Problems. Most of these problems will not give you a slope and y-intercept.. You will not be writing inequalities in Slope-Intercept Form.. Quiz. Tell true or false of the following statement:. . . . If c < 0, a < b, then ac > . bc. .. Linear Equation. A linear equation in one variable is an equation that can be written in the form:. Goal:. Use a system of linear inequalities to model a real-life situation.. Word Problems. Most of these problems will not give you a slope and y-intercept.. You will not be writing inequalities in Slope-Intercept Form.. Objectives:. To solve a system of linear equations by graphing. To classify a system of linear equations as consistent (independent and dependent) or inconsistent. To graph a system of linear inequalities. Use a system of linear inequalities to model a real-life situation.. Standard Form of Word Problems. Define variables. Write out the system. Graph the inequalities. Write 2 possible solutions. Word Problem #1. 5.3 Solving Multiple Step Inequalities Algebra 1 INEQUALITIES The relationship between two expressions that are NOT necessarily equal. Less Than Under Fewer Great er Than More Than