# Simplifying Variable Expression _Day 4 – The Distributive Property_

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```					Simplifying Variable
Expressions
(Day 4 – The Distributive Property)

We are learning to…simplify variable
expressions by combining like terms.
Simplify the expression:

We have 2 sets of… x + 3
Create a representation of the expression with Algebra
Tiles

xx                 xx

Write the expression in Algebra Tiles

2x + 6
Simplify the expression:

We have 3 sets of… xy – y2 - 1
Create a representation of the expression with Algebra
Tiles

xy                    xy                   xy
xy
xy       22
xy       22                 22
yy                    yy                 yy

Write the expression in Algebra Tiles
2
3xy - 3y - 3
Simplify the expression:

We have 4 sets of… 2x – y + x + 2y
Create a representation of the expression with Algebra
Tiles

xx xx        xx           xx xx        xx           xx xx        xx           xx xx        xx
yy        yy yy           yy        yy yy           yy        yy yy           yy        yy yy

Remove any “Zero Pairs”
Write the expression in Algebra Tiles
12x + 4y
Critical Thinking
o   Could we have done anything else to make
the process easier when simplifying?
n   Discuss with your group, write down some ideas
class.
Simplify the expression:

We have 4 sets of… 3x + y
Create a representation of the expression with Algebra
Tiles

xx xx        xx            xx xx xx        xx xx xx        xx xx xx
yy        yy yy               yy              yy              yy

Remove any “Zero Pairs”
Write the expression in Algebra Tiles
12x + 4y
Critical Thinking
o   Did you get the same solution?
o   Why did this happen?
n   Discuss with your group and then write several
complete sentences explaining how this
happened.
Practice…
• Now try some practice with your team.
• Directions:
– Use your Algebra Tiles to create a
representation of the expression.
– Organize your tiles as you draw your
representation with Algebra Tiles.
– Combine like terms in the expression and
create zero pairs.