PPT-3-2: Solving Systems of Equations

using Elimination Steps 1 Place both equations in Standard Form A x B y C 2 Determine which variable to eliminate with Addition or Subtraction 3 Solve for the variable left. 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 Lesson Objective:. An equation is like a set of scales.. To keep it balanced, whatever you. do to one side you must do to the other.. Use this idea to solve equations like:. 3x + 1 = x + 7 . 2 (3x + 1) = 3 (x – 2). Zsoldos-Marchis. . Iuliana. Babes-. Bolyai. University. This research was . supported by Babes-. Bolyai. University, contract number GTC_34070/2013. Introduction. Developing mathematical problem solving skills is one of the main goals of school . Solve:. LINEAR . QUADRATIC . QUADRATIC . Quadratic Equations. Solve:. a) b) . . Learning Log Summary . LT. . 1. . – I can . solve. quadratic equations using factoring or the square root method.. 21. (. 5-. 6. ). Homework: maintenance sheet 24 & study island . . Due tomorrow!!. Unit Test Friday. Learning Target: Solving systems of equations algebraically . Homework Check 1-8. Part A. Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. 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. . _____________________________________________________________. Algebra 1 – Solving . Equations - Math is Hip. ™. Prerequisite Skills Needed:. - . Order of Operations. - Add/Subtract & Multiply/Divide . 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?. Algebra 1: Unit 7. Graphing linear equations. Graphing Linear Equations. The steps to graphing a linear equation:. Step . 1: Create an x/y chart. Step 2: Pick two points for x. Step 3: Determine the value of y given x. Review of Factoring. 2. nd. Degree Polynomials. x. 2. 9x 20 . = (x 5)(x 4). . x. 2. - 11x 30. = (x-6)(x-5). . 3x. 2. 20x 12. . = (3x 2)(x 6) . Factoring of higher-degree polynomials. Examples:. . 1). . . x 3 = 15. . 2) p – 5 = 20. 3) 2d = 16. 4). . = 24.  . Multi-Step Equations. Examples—. 5). 2p 15 = 29. 6). 14 – 3n = -10. 7). 27 = -9(y 5). 8). 7a – 3a 2a – a = 16.  .  . Solutions are found at the intersection of the equations in the system.. Types of Solutions. Section 8.1 – Systems of Linear Equations. Consistent System. One solution. Consistent System. Infinite solutions. Siu. A. Chin. Texas A&M University. Castellon, Sept. 6, 2010. Forward. algorithms, with all positive time steps for solve time-irreversible equations with a diffusion kernel beyond the second-order. .