[size=150]A rectangle has a width of 4 units and a length of [math]m[/math] units. Write an expression for the area of this rectangle.[/size]

[size=150]What is the area of the rectangle if [math]m[/math] is:[br][br][size=100]3 units?[/size][/size]

2.2 units?

[math]\frac{1}{5}[/math] unit?

[size=150]Could the area of this rectangle be 11 square units? Why or why not?[/size]

[size=150]Here are two rectangles. The length and width of one rectangle are 8 and 5. The width of the other rectangle is 5, but its length is unknown so we labeled it [math]x[/math].[br][br][img]data:image/png;base64,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[/img][br][br][size=100]Write an expression for the sum of the areas of the two rectangles.[/size][/size]

[size=150]The two rectangles can be composed into one larger rectangle as shown.[/size][br][br][img]data:image/png;base64,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[/img][br][br]What are the width and length of the new, large rectangle?

Write an expression for the total area of the large rectangle as the product of its width and its length.

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[/img][br][br]Find the lengths [math]w[/math], [math]x[/math], [math]y[/math], and [math]z[/math], and the area [math]A[/math]. All values are whole numbers.

Can you find another set of lengths that will work? 

How many possibilities are there?

[img]data:image/png;base64,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[/img][br][br]Explain why the area of the large rectangle is [math]2a+3a+4a[/math].

Explain why the area of the large rectangle is [math](2+3+4)a[/math].

[size=150]Is the area of the shaded rectangle [math]6(2-m)[/math] or [math]6(m-2)[/math]? [/size][br][br][img]data:image/png;base64,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[/img][br][br]Explain how you know.

[size=150]Choose the expressions that do [i]not[/i] represent the total area of the rectangle. Select [b]all[/b] that apply.[/size][br][img]data:image/png;base64,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[/img]

[math]35\cdot91-35\cdot89[/math]

[math]22\cdot87+22\cdot13[/math]

[math]\frac{9}{11}\cdot\frac{7}{10}-\frac{9}{11}\cdot\frac{3}{10}[/math]

[size=150]Select [b]all[/b] the expressions that are equivalent to [math]4b[/math].[/size]

[math]111=14a[/math]

[math]13.65=b+4.88[/math]

[math]c+\frac{1}{3}=5\frac{1}{8}[/math]

[math]\frac{2}{5}d=\frac{17}{4}[/math]

[math]5.16=4e[/math]

Andre ran [math]5\frac{1}{2}[/math] laps of a track in 8 minutes at a constant speed. It took Andre [math]x[/math] minutes to run each lap. Select [b]all[/b] the equations that represent this situation.