Good grief. More equations?

Isolating the Variable in Literal Equations Notes for

Fetor a strong, offensive smell; a stench

 SWBAT solve for a variable in a literal equation.

Literal Equations  Just a whole bunch of letters!

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

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

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

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

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

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

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!

Solve for x

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

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

Solve for x

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

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

Solve for x

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

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

Solve for x

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

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

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

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

Practice makes Perfect  Solve for a R + A = T

Practice makes Perfect  Solve for a Y – A = K

Practice makes Perfect  Solve for A 13L = 5A

Practice makes Perfect  Solve for m

Practice makes Perfect  Solve for H

Practice makes Perfect  Solve for m MA + R = S

Practice makes Perfect  Solve for e SLE – P = T

Practice makes Perfect  Solve for o

Practice makes Perfect  Solve for c J = AC - K

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

Practice makes Perfect  Solve for k

Practice makes Perfect  Solve for e T = EA

Practice makes Perfect  Solve for p

Practice makes Perfect  Solve for a CAB = S

Practice makes Perfect  Solve for l

Practice makes Perfect  Solve for a

Practice makes Perfect  Solve for g

Practice makes Perfect  Solve for i

Practice makes Perfect  Solve for p

Practice makes Perfect  Solve for a

Practice makes Perfect  Solve for a