119 powerpoint 1.2

1.2 Linear Equations in One Variable ,[object Object],[object Object],[object Object],[object Object]

Identity vs. Conditional ,[object Object],[object Object]

So how would you recognize an “identity” on an exam? ,[object Object],[object Object],[object Object]

If it is not an identity, it is a … ,[object Object],[object Object],[object Object]

Linear Equation with only one Variable in it ,[object Object],[object Object],[object Object]

Solve 5x+4=3x-8 ,[object Object],[object Object],[object Object]

Solve 6(x-1)+4=3(7x+1) ,[object Object]

Solve To get rid of fractional coefficients, multiply both sides (every single term) by their lowest common denominator. Here, LCD = 12

Same strategy: ,[object Object],[object Object],[object Object],[object Object]

Cool that we got a nice answer of -2 BUT.. ,[object Object],-2 is called an “extraneous solution.”

finding intercepts ,[object Object],[object Object],[object Object],[object Object]

Find the x- and y-intercepts of (8x/3) + 5 – 2y = 0 ,[object Object]

Here’s one from HW: Solve for x: 5+ax=12-bx ,[object Object]

The key step to that last one was factoring out an x. ,[object Object]

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