PPT-1.5 Linear Equations and Inequalities

Quiz Tell true or false of the following statement If c lt 0 a lt b then ac gt bc Linear Equation A linear equation in one variable is an equation that can be written in the form. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Methods in Graphing. Understanding Slope. AI.L.4: Represent linear functions as graphs from . equations, equations . from tables and other given . information. AI.L.7: . Solve linear . inequalities in two variables by graphing. By:. Emily Zhou. What is a Linear Equation?. A linear equation is an equation whose graph forms a straight line.. Linear equations are usually shown on a coordinate plane. Real life situations of linear equations include the stock market as well as the payments of a car.. 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. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Reals. Dana . Moshkovitz. , MIT. Joint work with . Subhash. . Khot. , NYU. We propose an approach for proving the . unique games conjecture . by studying the hardness of approximately solving . real. 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. . By graphing. Definition. A system of linear equations, aka linear system, consists of two or more linear equations with the same variables.. x + 2y = 7. 3x – 2y = 5. The solution. The solution of a system of linear equations is the ordered pair that satisfies each equation in the system. . Ch. 1.6. Absolute Value Equations and Inequalities . EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities. . Bell Work. Solve the inequality. Graph the solution. . Methods in Graphing. Understanding Slope. AI.L.4: Represent linear functions as graphs from . equations, equations . from tables and other given . information. AI.L.7: . Solve linear . inequalities in two variables by graphing. Lesson 2: One-Step Inequalities. Cornell Notes Header. Topic:. . Inequalities . & Two-Step Equations (Unit 7 pg. 2). E.Q.: . How. are one-step equations similar and different than one-step inequalities?. 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. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential factors. .  . SWBAT create a single variable equation. 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