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Page 1: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Page 2: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Small Square

Value = 1

Rectangle

x

1

1

1

Value = x

Large Square

x

x

Value = x2

Algebra Tiles

Page 3: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Small Square

Value = -1

Rectangle

-x

-1

1

1

Value = -x

Large Square

-x

x

Value = -x2

Algebra Tiles

Page 4: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

We are going to use Algebra Tiles to solve algebraic equations.

Algebra Tiles

Page 5: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

=

An Equation is like a balance scale. Everything must be equal on both sides.

Page 6: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

=

What you do to one side of an equation, you must do to the other side to keep it

balanced.

Page 7: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

=

4x-2=2x+3

What Equation Is This?

Page 8: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

=

-3x+1=2x+3

What Equation Is This?

Page 9: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

=

-3x+2= x-1

What Equation Is This?

Page 10: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

=

-3x-2= -x-1

What Equation Is This?

Page 11: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

#18

+ + x

x x

–

Move the smaller

number of x’s to one side

2 = 2x - 2 +2 +2

4 = 2x

=

2x + 2 = 4x – 2 x

x

2x + 2 = 4x - 2 -2x -2x

x –

+ + ++

2 22 = x

Page 12: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Then you will draw the problem.Then you will write the algebra equation, solve and show the check.

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!

Page 13: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Show me problem #1 2x + 1 = x + 3

=

Take 1x away from both sides.

Draw this on your homework paper

x = 2Take 1 away from both sides.

Page 14: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Draw problem #1 2x + 1 = x + 3

+x + += +

Take 1x away from both sides.

x xTake 1 away from both sides.

2x + 1 = x + 3 -x -x

x + 1 = 3

2(2) + 1 = 2 + 3

-1 -1 x = 2

4 + 1 = 5 5 = 5

Page 15: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Show me problem #2 3x + 2 = x + 8

=

Take 1x away from both sides.

Draw this on your homework paper

x = 3Take 2 away from both sides.

Divide both sides by 2.

Page 16: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Draw Problem #2 3x + 2 = x + 8

+ + += +Take 1x away from both sides.

Take 2 away from both sides.

+ + + +++

Divide both sides by 2. 3x + 2 = x + 8

-x -x2x + 2 = 8

-2 -2 2x = 6

2 2 x = 3

3(3)+2= 3 + 89+2=1

1 11=11

Page 17: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Show me problem #3 3x - 5 = 4

=

Add 5 to both sides.

Draw this on your homework paper

x = 3Take away the zeros

Divide both sides by 3.

Page 18: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Draw problem #3 3x - 5 = 4- + +

=Add 5 to both sidesTake away the zeros

- + +

Divide both sides by 3.

--

-

+ + +++

+++

+ +

3x - 5 = 4 +5 +5

3x = 9 3 3

x = 3

3(3) - 5 = 4 9 - 5 = 4 4 = 4

Page 19: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Show me problem #4 2x - 1 = 3x

=

Take 2x away from both sides.

Draw this on your homework paper

x = -1

Page 20: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

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

Page 21: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

Show me problem #5 4x + 1 = 3x - 1

=

Draw this on your homework paper

Take away 3x from both sides.

Add -1 to both sides.

Take away the zeros

x = -2

Page 22: Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

http://www.mathslideshows.com

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 x =

-2

4(-2)+1= 3(-2) -1 -8+1= -6 –

1 -7 = -7

_ _


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Http://. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles