PPT-Writing Equations from Word Problems

WarmUp Spencer sends a YouTube video to 7 of his friends and those friends send the video to 7 more friends and so on Write an expression to show the number of people who will receive the video after the 5. 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 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.. Summary. Independent. The equations of a linear system are . independent. if . none. of the equations can be derived algebraically from the others. . Independence. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set. . By: Morgan Shade . Absolute Value. The number’s distance away from zero. Can’t be a negative number. Examples:. │3│= 3. │-10│= 10. │0│= 0. Absolute Value Equations. Isolate the Absolute Value. 2. Ordinary Differential Equations. To solve an RL circuit, we apply KVL around the loop and obtain a differential equation:. Differential Equation has an independent variable . i. and the derivative of the independent variable.. 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 “ . 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. . Materials developed by Paul Dickinson, Steve Gough & Sue Hough at MMU. Thank you. Sue, Steve and Paul would like to thank all the teachers and students who have been involved in the trials of these materials. 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. Unit 3. Purpose . Provided is a lesson for teachers to use to help students understand . how to construct and analyze function tables. Included are the following resources:. Common Core Standards. 6.EE.9 . Net ionic equations are useful in that they show only those chemical species directly . participating in . a chemical . reaction. The keys to being . able to . write net ionic equations are the ability to recognize monatomic and polyatomic ions, . Chemistry 1-2. Mr. . Chumbley. Section 1: Describing Chemical Reactions. Chemical Reactions. A . chemical reaction . is a process by which one or more substances change to produce one or more different substances. Differential Equations. In this class we will focus on solving ordinary differential equations that represent the physical processes we are interested in studying. With perhaps a few exceptions the most complicated differential equation we will look at will be second order, which means it will look something like. y. = m. x. + c. (from 4.2 Graphical representations). KS3 Mastery PD Materials: Exemplified Key Ideas. Materials for use in the classroom or to support professional development discussions. Summer 2021.