PPT-Solving Equations w/Variables on Both Sides

Algebra 1 Solving Equations Math is Hip Prerequisite Skills Needed Order of Operations AddSubtract amp MultiplyDivide . 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). Equations with Fractions. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 23. rd. March 2014. RECAP. : . Solving Linear Equations. GARY. Help Gary find the crumpet by . solving the following linear equations.. Chapter 7.3. Modeling - 2x + 3 = 11. =. Each one has 4 squares, so 4 is your answer!. Solving 2-Step Equations. Algebraic equations are solved backwards, so do the OPPOSITE math!. Since there are more than 1 steps to do you must follow the Order of Operations…but BACKWARDS!!!. Multiplication . Equations. 3-3 Solving . Multiplication . Equations. Solve. Solution. GOAL. Find the value of the variable that makes the. equation TRUE.. The value that makes the equation true.. To isolate the variable (have the variable on one. Substitution and Elimination. Elimination. Arrange the equations in STANDARD FORM. . . Your goal is to find a way to eliminate one of the variables so you can solve a one-variable equation.. . 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 “ . Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Evaluate and simplify algebraic expressions by substituting and using order of operations.. How to…. You will need to translate words into mathematical operations. . What are some words or phrases for:. 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 “ . Equations Using Algebra Tiles . Objectives. Solving Equations Involving the Distributive Property. Solving Multi-Step Equations. Solving Equations. The development of the equation solving model is based on two ideas.. with Variables on Both Sides. Essential Question: How do you solve . equations with variables on both sides?. Before we start…. David has $26 and saves $8 each week. Emily has $56 and saves $4 each week. How many weeks will it take for David and Emily to have the same amount of money?. GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations.   1 By Factorising 2 Day 1. 4 (x + 9) + 5 = -3. 4x + 36 + 5 = -3. 4x. + 41 . = -3. . - 41 -41. 4x = -44. x = -11. 4x + . 36 + 5. = -3. . What is the solution of the following?. . -. 3x. . (from 2.2 Solving linear equations). KS3 Mastery PD Materials: Exemplified Key Ideas. Materials for use in the classroom or to support professional development discussions. Summer 2021. About this resource.