IM 6.6.10 Practice: The Distributive Property, Part 2

Here is a rectangle.
[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]? 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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]
Evaluate each expression mentally.
[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]
Solve each equation. Show your reasoning.
[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.
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Information: IM 6.6.10 Practice: The Distributive Property, Part 2