PPT-Lesson 6: Creating Single Variable Equations and Inequalities

ACED1 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. 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.. How to Identify Multistep Equations |Combining Terms| How to Solve Multistep Equations | Consecutive Integers | Multistep Inequalities. Learning Objectives. Use the properties of equality to solve multistep equations of one unknown. System of Inequalities. Points are solutions to this system if they make . both. inequalities true.. (0,0). 0 > -1. 0 . ≤. 5. True. True. The Solution region is where the shadings overlap. For instance the following point is in the solution region because it satisfies both inequalities:. 1. 1. 2.. 3. 4.. Absolute Value Equations. 2. Absolute Value Inequalities. Absolute value inequalities are solved in the same way linear inequalities are solved. . Change the inequality to an equality and solve.. Wilma Reid, Head of Learning and Improvement. NHS Health Scotland . Annexe. 2. We are Scotland’s national agency for reducing health inequalities and improving health. We are a National Health Board in NHS Scotland.. The poorer you are the more likely you are to be unhealthy. . This is despite the Scottish Governments £170m given to the NHA to tackle health inequalities.. The more that things change, the more they stay the same.. Unit 8 . – Solving Inequalities. Vocabulary. Inequality. – A mathematical sentence that compares two unequal expressions using one of the symbols:. < (less than). > (greater than) . ≤ (less than or equal to). Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 20. th. . March 2016. Objectives: . Be able to solve both linear and quadratic inequalities. Be able to manipulate inequalities (including squared terms).. What we will learn. Solve multistep inequalities. Ex. . 1 . 2 step inequalities. Solve. Must Flip sign when multiplying or dividing by a negative.  . Solve.  . Your Practice. Solve.  . Ex. 2 Variable on Both Sides. Inequality Symbols. < . > . <. . >. . = . ≠. Less Than. Greater . Than. Less . Than or Equal To. Greater Than or Equal To. Equal To. Not Equal To. 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:. 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. Sixth. Edition. Chapter . 2. Linear Functions and Equations. Copyright © . 2018, 2014, 2010 . Pearson Education, Inc. All Rights Reserved. 2.5 Absolute Value Equations and Inequalities. Evaluate and graph the absolute value function. India. B.M. Ramesh, PhD. Assistant Professor, Department of Community Health Sciences. Assistant Director, Research and Knowledge Translation, Institute of Global Public Health. Rady Faculty of Health Sciences, University of Manitoba.