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Good grief. More equations?

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Isolating the Variable in Literal Equations Notes for

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Fetor a strong, offensive smell; a stench

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SWBAT solve for a variable in a literal equation.

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Literal Equations Just a whole bunch of letters!

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Literal Equations An equation comprised only of variables! That means it is all letters!!! Only variables?! What does that mean?

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Literal Equations Literal equations is the fancy word for formula A formula is an algebraic expression relating two or more quantities For example: The formula for area of a rectangle is A = bh The formula for the volume of a prism is V = Bh The formula for distance is d = rt

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The Goal of Literal Equations Isolate (solve for) a particular variable This means that you must get everything on the right side of the equal sign except the variable you are solving for

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Key Point: By definition, variables represent numbers. Therefore (and this KEY), variables have the same properties as numbers …

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Variables can cancel each other out. I think that is called inverse operations, right? Can we review those?

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To cancel variable … You must do the inverse (opposite) operation

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So here we go … You guys are practicing? Huh, interesting. Perhaps I should try that. Because I don’t think that we have a team that will the west this year!

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Solve for x

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Now we will do the exact same thing … But with letters! Solve for a Get rid of the constant (subtract)

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Now let’s discuss How were these two problems similar?

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Solve for x

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Now we will do the exact same thing … But with letters! Solve for a Get rid of the coefficient (multiply)

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Now let’s discuss How were these two problems similar?

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Solve for x

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Now we will do the exact same thing … But with letters! Solve for b Get rid of the coefficient (divide)

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Now let’s discuss How were these two problems similar?

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Solve for x

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Now we will do the exact same thing … But with letters! Solve for b Start by cancelling the constant Now get rid of the coefficient

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Now let’s discuss How were these two problems similar?

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Final Example Solve for c Remember, the coefficient is every term that is not the variable you are isolating!

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Now go practice, because this is probably the hardest thing that you have ever done. Kind of like trying to beat my Vikings!!!

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Practice makes Perfect Solve for a R + A = T

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Practice makes Perfect Solve for a Y – A = K

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Practice makes Perfect Solve for A 13L = 5A

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Practice makes Perfect Solve for m

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Practice makes Perfect Solve for H

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Practice makes Perfect Solve for m MA + R = S

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Practice makes Perfect Solve for e SLE – P = T

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Practice makes Perfect Solve for o

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Practice makes Perfect Solve for c J = AC - K

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Practice makes Perfect Solve for r Z – E + BR = A

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Practice makes Perfect Solve for k

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Practice makes Perfect Solve for e T = EA

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Practice makes Perfect Solve for p

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Practice makes Perfect Solve for a CAB = S

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Practice makes Perfect Solve for l

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Practice makes Perfect Solve for a

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Practice makes Perfect Solve for g

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Practice makes Perfect Solve for i

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Practice makes Perfect Solve for p

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Practice makes Perfect Solve for a

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Practice makes Perfect Solve for a

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ALGEBRAIC EQUATIONS. EQUATIONS AND SOLUTIONS A correct equation is like a balance scale. In order to determine if a given value for a variable is.

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