Background for Algebra Tiles Represents the variable Represents the number Positive, + n Positive (+1) Negative, - n Negative (-1)

Zero Models:

Zero Models 1 positive 1 negative A zero model 2 positives 2 negatives A zero model 4 negatives 4 positives A zero model

Your Turn: Create Zero Models :

Your Turn: Create Zero Models -7 +7

Keeping the Balance:

Keeping the Balance Step 1: Set up the equation using the tiles Step 2: Isolate the variable by bringing in the opposite. (Create zero models) Step 3: Whatever you do to one side do to the other. (Keep the balance!) Step 4: Regroup if needed.

Setting up the Equation:

Setting up the Equation

Setting Up the Equation:

Setting Up the Equation n + 3 = 6 n - 2 = 4

Setting Up the Equation:

Setting Up the Equation 7 = 2n + 3 3n = (-15)

Your Turn:

Your Turn 5 = 2 + n (-4) + y = (-6) 3 + 2y = 7

Setting Up the Equation:

Setting Up the Equation = (-7) - r 2 - r - r 2 The expression means the same as - r 2 r -2

Setting Up the Equation:

Setting Up the Equation = (-4) t 3 t t 3

Your Turn:

Your Turn = (2) y 4 y y 4 = (5) n -3 n n -3

Isolate the Variable Add in the opposite:

Isolate the Variable Add in the opposite n + 3 = 6 n = 3

Show your work like this::

Show your work like this: n + 3 = 6 n = 3

Isolate the Variable Add in the opposite:

Isolate the Variable Add in the opposite n - 2 = 4 n = 6

Show your work like this::

Show your work like this: n - 2 = 4 n = 6

Your Turn:

Your Turn n – 2 = (-7) n = (-5)

Your Turn:

Your Turn (-6) = n + 3 (-9) = n

Isolate the Variable Add in the opposite then regroup:

Isolate the Variable Add in the opposite then regroup 3n = (-15) -5 n =

Show your work like this: :

Show your work like this: 3n = (-15) -5 n =

Your Turn:

Your Turn (12) = 4n +3 n =

Isolate the Variable:

Isolate the Variable = (-7) - r 2 - r 2 - r r = 14 - r

Your Turn:

Your Turn = (2) y 4 y y 4 8 = y y

Your Turn:

Your Turn = (5) n -3 n -3 -n -n n

Isolate the Variable Add in the opposite & regroup:

Isolate the Variable Add in the opposite & regroup 7 = 2n + 3 n = 2

Show your work like this::

Show your work like this: 7 = 2n + 3 n = 2

Your Turn:

Your Turn 5 = 2n + (-3) n = 4

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