VARIABLES ON BOTH SIDES OF AN ALGEBRA EQUATION USING ALGEBRA TILES

EQUATIONS WITH ALGEBRA TILES Large Square Rectangle Small Square 1 x x 1 Value = 1 1 x Value = x Value = x2

EQUATIONS WITH ALGEBRA TILES Large Square Rectangle Small Square -1 -x -x 1 Value = -1 1 x Value = -x Value = -x2

EQUATIONS WITH ALGEBRA TILES We are going to use Algebra Tiles to solve algebraic equations.

EQUATIONS WITH ALGEBRA TILES An Equation is like a balance scale. Everything must be equal on both sides. =

EQUATIONS WITH ALGEBRA TILES What you do to one side of an equation, you must do to the other side to keep it balanced. =

EQUATIONS WITH ALGEBRA TILES What Equation Is This? 4x-2=2x+3 =

EQUATIONS WITH ALGEBRA TILES What Equation Is This? -3x+1=2x+3 =

EQUATIONS WITH ALGEBRA TILES What Equation Is This? -3x+2= x-1 =

EQUATIONS WITH ALGEBRA TILES What Equation Is This? -3x-2= -x-1 =

Take Out Your Study Guide!!! EQUATIONS WITH ALGEBRA TILES That's all Folks! Take Out Your Study Guide!!! That’s all folks

Move the smaller number of x’s to one side #18 Variable on Both Sides Picture 2x + 2 = 4x – 2 – x + + x x ++ – + + = x x x 2x + 2 = 4x - 2 -2x -2x Move the smaller number of x’s to one side 2 = 2x - 2 +2 +2 4 = 2x 2 2 2 = x

EQUATIONS WITH ALGEBRA TILES 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.

EQUATIONS WITH ALGEBRA TILES =

Algebra Tiles Clear your desk! You will only need your algebra tiles, a pencil, your balance scale worksheet, and your homework out.

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

Let’s try your homework. 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!

Then you will draw the problem. HOMEWORK 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.

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

= Draw problem #1 2x + 1 = x + 3 -x -x 2x + 1 = x + 3 2(2) + 1 = 2 + 3 HOMEWORK Draw problem #1 2x + 1 = x + 3 Take 1x away from both sides. x x = x + + + + Take 1 away from both sides. 2x + 1 = x + 3 2(2) + 1 = 2 + 3 -x -x 4 + 1 = 5 x + 1 = 3 5 = 5 -1 -1 x = 2

= x = 3 Show me problem #2 3x + 2 = x + 8 HOMEWORK Show me problem #2 3x + 2 = x + 8 = x = 3 Take 1x away from both sides. Take 2 away from both sides. Divide both sides by 2. Draw this on your homework paper

= -x -x -2 -2 2 2 Draw Problem #2 3x + 2 = x + 8 3x + 2 = x + 8 HOMEWORK 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 3(3)+2= 3 + 8 -x -x 9+2=11 2x + 2 = 8 11=11 -2 -2 2x = 6 2 2 x = 3

= x = 3 Show me problem #3 3x - 5 = 4 Draw this on your homework paper Add 5 to both sides. Take away the zeros Divide both sides by 3. Draw this on your homework paper

= Draw problem #3 3x - 5 = 4 +5 +5 3 3 - - - - - 3x - 5 = 4 HOMEWORK Draw problem #3 3x - 5 = 4 Add 5 to both sides = + + + - - - + + + - - Take away the zeros + + + + + + + + Divide both sides by 3. 3x - 5 = 4 3(3) - 5 = 4 +5 +5 9 - 5 = 4 3x = 9 4 = 4 3 3 x = 3

= x = -1 Show me problem #4 2x - 1 = 3x HOMEWORK Show me problem #4 2x - 1 = 3x = x = -1 Take 2x away from both sides. Draw this on your homework paper

= Draw problem #4 2x - 1 = 3x -2x -2x - 2x - 1 = 3x 2(-1) - 1 = 3(-1) HOMEWORK Draw problem #4 2x - 1 = 3x = Take 2x away from both sides. - 2x - 1 = 3x 2(-1) - 1 = 3(-1) -2x -2x -2 - 1 = -3 - 1 = x -3 = -3

= x = -2 Show me problem #5 4x + 1 = 3x - 1 HOMEWORK 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

= -3x -3x -1 -1 Draw Problem #5 4x + 1 = 3x - 1 4x + 1 = 3x – 1 HOMEWORK 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 4(-2)+1= 3(-2) -1 -3x -3x -8+1= -6 – 1 x + 1 = -1 -7 = -7 -1 -1 x = -2

Put your algebra tiles back in your bag and ziplock them. Pass your tiles forward quickly. Pass up your balance scale worksheet. That's all Folks!

Teacher Note: Use the next slide as a master 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.

EQUATIONS WITH ALGEBRA TILES =

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