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Algebra Tiles
Large Square
Small Square
Rectangle
1
x
1
Value =
x
1
1
Value =
x
x
Value =
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x
2
Algebra Tiles
Large Square
Small Square
Rectangle
-1
-x
1
Value =
-x
-1
1
Value = -
x
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x
Value = -x
2
Algebra Tiles
We are going to use
Algebra Tiles to solve
algebraic equations.
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An Equation is like a balance scale.
Everything must be equal on both sides.
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What you do to one side of an equation, you
must do to the other side to keep it balanced.
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What Equation Is This?
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4x-2=2x+3
What Equation Is This?
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-3x+1=2x+3
What Equation Is This?
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-3x+2= x-1
What Equation Is This?
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-3x-2= -x-1
Take Out Your Study Guide!!!
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#18
2x + 2 = 4x – 2
x
x
2x + 2
-2x
2
+2
4
2
2
x
++
++ = x
= 4x - 2
-2x
= 2x - 2
+2
= 2x
2
= x
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x
x
–+
–+
Move the
smaller
number of x’s
to one side
•You are going to get a set of
algebra tiles to use and a
balance scale worksheet.
•Do NOT write on the balance
scale worksheet. I am going to
reuse it.
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Algebra Tiles
•Clear your desk!
•You will only need your
algebra tiles, a pencil, your
balance scale worksheet, and
your homework out.
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Algebra Tiles
•Take your algebra tiles out of
the bag and put them on your
desk.
•You will only need the x’s and
1’s. You will not need the x2
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Name______________
Date_______________
Period___
Variables on Both Sides
Algebra Equations
Let’s try your homework.
Put your name, date and
period on your PINK handout.
You are going to do the problems
with your algebra tiles 1st!
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It is important to see the problem
on your balance scale with the
algebra tiles 1st. I want to make
sure you understand it conceptually
before doing the algebra!
Then you will draw the problem.
Then you will write the algebra
equation, solve and show the check.
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Show me problem #1 2x + 1 = x + 3
=
x=2
Take 1x away
from both
sides.
Take 1 away
from both
sides.
Draw this on your homework paper
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Draw problem #1 2x + 1 = x + 3
Take 1x away
from both sides.
Take 1 away
from both sides.
x x
2x + 1 = x + 3
-x
-x
x+1=3
-1 -1
x=2
+
=
x
+ + +
2(2) + 1 = 2 + 3
4+1=5
5=5
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Show me problem #2 3x + 2 = x + 8
=
x=3
Take 1x away
from both
sides.
Take 2 away Divide both
from both
sides by 2.
sides.
Draw this on your homework paper
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Draw Problem #2
Take 1x away from
both sides.
+
+
Take 2 away
from both sides.
Divide both
sides by 2.
3x + 2 = x + 8
=
3x + 2 = x + 8
-x
-x
2x + 2 = 8
-2 -2
2x = 6
2
2
x=3
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+ + ++
+ + ++
3(3)+2= 3 + 8
9+2=11
11=11
Show me problem #3 3x - 5 = 4
=
x=3
Add 5 to
both sides.
Take away
the zeros
Divide both
sides by 3.
Draw this on your homework paper
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Draw problem #3 3x - 5 = 4
Add 5 to
+++
both sides
= +++
Take away
+++
++
the zeros
Divide both
sides by 3.
3x - 5 = 4
+5 +5
3x = 9
3
3
x=3
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+++
3(3) - 5 = 4
9-5=4
4=4
Show me problem #4 2x - 1 = 3x
=
x = -1
Take 2x away from both
sides.
Draw this on your homework paper
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Draw problem #4 2x - 1 = 3x
Take 2x away
from both sides.
2x - 1 = 3x
-2x
-2x
-1=x
-
=
2(-1) - 1 = 3(-1)
-2 - 1 = -3
-3 = -3
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Show me problem #5 4x + 1 = 3x - 1
=
Take away
3x from
both sides.
Add -1
to both
sides.
Take away
the zeros
x = -2
Draw this on your homework paper
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Draw Problem #5 4x + 1 = 3x - 1
Take away 3x
from both sides.
Add -1 to
both sides.
Take away
the zeros
+
4x + 1 = 3x – 1
-3x
-3x
x + 1 = -1
-1
=
_
-1
_
_
4(-2)+1= 3(-2) -1
-8+1= -6 – 1
-7 = -7
x = -2
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Put your algebra tiles back in your
bag and ziplock them.
Pass your tiles forward quickly.
Pass up your balance scale worksheet.
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Teacher Note: Use the next slide as a
master. Make one copy for each
student to use as a placemat when
using the algebra tiles for solving
equations as a hands on model.
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EQUATIONS WITH ALGEBRA TILES
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If you have trouble viewing you
need MathType software:
To see all math formulas
correctly you need to install
MathType software, similar to
equation editor and is
available for free at Design
Science website .
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For more information on
Math Slideshows visit:
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