# Table Top Worksheet

Topics: Algebra, Variable, Height Pages: 6 (476 words) Published: October 14, 2014
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Student Name: ______Chelsey Colston_______
Date: ___9/23/14___ Class: _____Algebra2______

Review:
Review #1
1) Write the algebraic expression represented by the algebra tiles. 2) What are the factors of this algebraic expression?

Review #2
Use the algebra tiles to square the following binomials, then combine like terms and write the resulting expression. 1) = 4x

2) = 6x

3) =6y

4) = y=4x

Review #3
Form a rectangle with the algebra tiles. What product is represented by the rectangle? Purple, what are the factors of this product? X-Y

Simplify Complicated Expressions:
Record your responses to the following questions.
1) Rewrite and then simplify the algebraic expression.
= 6x-6y/ (3x+3y) (3x+3y) = 6x+3x+3x/ 6y+3y+3y= 12x/12y=0
2) Rewrite and then simplify the algebraic expression.
= (x-y2)*(x+y2)*(4x+4y) / (x-3y) (x+3y) (2x+2y) = X+x+4x+x+x+2x / 2y+ 2y+ 4y+ 3y+3y+2y= 8X/16Y= 4X/8Y= 2X/4Y= 1X/2Y 3) How many different ways do you think there are to write a complicated algebraic expression that simplifies to a single variable x? There are 3 different ways to write complicated algebraic expressions.

4) Write your own complicated algebraic expression that simplifies to a single variable x. Make sure you need at least 2 polynomial identities to simplify it. Then simplify your expression to prove that it simplifies to a single variable x. Factoring

9x^2+27x-3
All are divisible by 3
GCF=3
1/3 (9x^2+27x-3)
9x^2 / 3 + 27x /3 -3/3
= 3x^2 + 9x – 1
9x^2 + 27x – 3= 3 (3x^2 + 9x – 1)
= 9x^2 + 27x – 3 / 3
= (3x^2 + 9x – 1)
= 3X^2 + 9x - 1
Tablets R Us Screens Totally Tablets ScreensTablet Mart Screens
1) List the 3 screens available from Tablets R Us including x value, y value, area, length, and width: x
y
Area ()
Length (in)
Width (in)
2
1

3
1

3
2

2) List the 3 screens available from totally Tablets including x value, y value, area, length, and width: x
y
Area ()
Length (in)
Width (in)

3) List the 3 screens available from Tablet Mart including x value, y value, area, length, and width: x
y
Area ()
Length (in)
Width (in)

4) What company will you buy screens from? Confirm your decision by giving the x and y values you need and show your calculations for area, length and width. Design Your Tablet Prototype:
1) Sketch what your tablet will look like or find a picture. Label the width and height of the screen 2) Name your Tablet.
3) Pick at least 2 tablet features and write a short description of each (examples: # of apps, speed, screen resolution, memory, etc.). 4) Write a short paragraph describing why your tablet is the best and why people should buy one.