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# Question Info Grid
1

Using a set of Algebra Tiles, arrange the tiles pictured below into one large rectangle.

a.        On your paper, sketch your rectangle.

b.        What are the dimensions (length and width) of the rectangle you made?

        Label your sketch with its dimensions.

c.        Write a statement showing that .

[ b:, c: ]

Problem 217
Category 1: Factoring quadratics
 20x20
 4 quadrant
 30x20
 none

2

Joanne and Jermaine studied a rectangle formed by algebra tiles. They disagree about the correct expression for the tiles. Joanne wrote the expression . Jermaine wrote the expression . Who is correct? How can you be sure? Explain your reasoning.

[ Jermaine’s rectangle can be built:. Joanne’s expression does not form a rectangle. ]

Problem 218
Category 1: Factoring quadratics
 20x20
 4 quadrant
 30x20
 none

3

Build rectangles with the dimensions given below. Sketch each rectangle on your paper, label its dimensions, and write an equivalence statement for the area as a product and a sum.

a.                 b.

[ a:, b:]

Problem 219
Category 1: Multiplying polynomials
 20x20
 4 quadrant
 30x20
 none

4

Your study team has a new student who does not understand the Distributive Property. Explain how and why the Distributive Property can help you find the product of . Include drawings of algebra tiles in your explanation.

[]

Problem 220
Category 1: Multiplying polynomials
 20x20
 4 quadrant
 30x20
 none

5

Find the area of each part of the generic rectangles below and write the area of the whole as a product and a sum.

a.                                                b.

[ a:,

b:]

Problem 221
Category 1: Multiplying polynomials
 20x20
 4 quadrant
 30x20
 none

6

Find each of the following products by drawing and labeling a generic rectangle or by using the Distributive Property.

a.                         b.

[ a:, b:]

Problem 222
Category 1: Multiplying polynomials
 20x20
 4 quadrant
 30x20
 none

7

Solve the following equations for the indicated variable. Show all of your work.

a. Solve for x:

b. Solve for y:

c. Solve for m:

d. Solve for x:

[ a:, b:, c:, d:]

Problem 226
Category 1: Solving for given variables
 20x20
 4 quadrant
 30x20
 none

8

Solve the following equations for the indicated variable. Show all of your work.

a. Solve for x:

b. Solve for y:

c. Solve for w:

d. Solve for x:

[ a:, b:, c:, d:]

Problem 228
Category 1: Solving for given variables
 20x20
 4 quadrant
 30x20
 none

9

Using a set of Algebra Tiles, arrange the tiles pictured at right into one large rectangle.

a. On your paper, sketch your rectangle.

b. What are the dimensions (length and width) of the rectangle you made? Label your sketch with its dimensions.

c. Write a statement showing that .

[ b:, c:]

Problem 247
Category 1: Factoring quadratics
 20x20
 4 quadrant
 30x20
 none

10

Write the area of the rectangle below as a product and as a sum.

[]

Problem 252
Category 1: Multiplying polynomials
 20x20
 4 quadrant
 30x20
 none






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