BA 3.4 General Equations II 20f PDF

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BA3.4GeneralEquationsII20f

June22,2020

BA3.4GeneralEquationsII Solveanequationoftheformax+b=cx+d Solveanequationcontainingparentheses

VIDEO g3QzZSyKD0

Rememberthat"solvingalinearequation"meansdeterminingwhich valueofvariable(usually"x")makesamathstatementtrue Let'stalkabouttheprocedurefirst,thendoexamples.

ProceduretosolveaLinearEquationinOneVariable

Rememberthatthegoalistoisolatethevariableonone sidewiththenumbersontheotherside(Ex."x=2",or +1x=2) Itdoesn'tmatterwhichsidethevariablegoeson.Ifit makesthingseasierforyou,justpickasidewherethe variablewillalwaysgo.

BA3.4GeneralEquationsII20f

June22,2020

CLEARPARENTHESES 5(3x+1)

5(3x1)

5(3x+1)

5(3x+1)

WhatisaLIKETERM? Termsareliketermsiftheyeachhavethesame variablesandthecorrespondingvariablesareraisedto thesamepowers. LIKEterms 3band5b 9pqandpq 5wand2w LIKEORUNLIKE? 1. 3xand5x 2. 3xand3 3. 17abandab 4. 17xand17xc

UNliketerms 5cand7d 4pand4q 5wand5

BA3.4GeneralEquationsII20f

June22,2020

Wesawtheadditionandsubtractionmethodsearlier.Now wejusthavetoremembertoaddandsubtractawayfromthe variablefirst.Ahinttorememberisthatthosethingsthatare addedtothevariablearefartherawayfromthevariable.It's likecleaningyourclosetgetridofthingsthatyouareless attachedto. VIDEO bRJF39XAfoQ

Example: 3x+5=0 Movethe5totheothersidebecauseitislessattachedto thevariable.

NOTE:View/ZOOM/dualpage, View/ZOOM/Pin

SOLVE. 2x7=11

2=

6x4=2x8

Whereshould thevariablego?

BA3.4GeneralEquationsII20f

SOLVE.

7+3=2(p3)

June22,2020 VIDEO

2.2y8.3=6.2y+12.1

2+7x5=6(x+3)+2x

AVd6rtRy808

9(z3)+4z=4z5(z+2)6

Afterworkingonanequation,iftheansweryougetis somethinglike"4=5",thenthatiscalledaContradiction,and thereisnosolution. Iftheansweryougetissomethinglike"4=4",thenthe solutionisthesetofallrealnumbers.(anynumbercanbea solution)...