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<p>Model each binomial product using algebra tiles, virtual algebra tiles, or a diagram.</p><p><code class='latex inline'>(x + 4)(x + 2)</code></p>

<p>A square garden has side length x. One dimension is increased by 6 In and the other is increased by 3 m.</p><img src="/qimages/591" /><p>Expand and simplify your area expression for expression for the area of the new garden.</p>

<p>What binomial product does the model illustrate?</p><img src="/qimages/592" />

<p>A cube has side length x. Each dimension is increased by y.</p><p>Draw a diagram of the cube.</p>

<p>A cube has side length <code class='latex inline'>x</code>. Each dimension is increased by <code class='latex inline'>y</code>.</p><p>Write an algebraic expression for the difference in surface area. Expand and simplify.</p>

<p>A square garden has side length x. One dimension is increased by 6 In and the other is increased by 3 m.</p><img src="/qimages/591" /><p>Write an algebraic expression for the area of the original garden.</p>

<p>Model each binomial product using algebra tiles, virtual algebra tiles, or a diagram.</p><p><code class='latex inline'>(2x + 1)(x + 1)</code></p>

<p>Write an algebraic expression for the area of each figure. Expand and simplify. Then, find the area in another way to verify your result.</p><img src="/qimages/596" />

<p>Model each binomial product using algebra tiles, virtual algebra tiles, or a diagram.</p><p><code class='latex inline'>(x + 1)(x + 5)</code></p>

<p>Determine an algebraic expression for the number of shaded small squares in the nth diagram. Test your expression for two more diagrams.</p><img src="/qimages/597" />

<p>A square garden has side length <code class='latex inline'>x</code>. One dimension is increased by <code class='latex inline'>6</code> m and the other is increased by <code class='latex inline'>3</code> m.</p><img src="/qimages/591" /><p>Find an expression that represents the increase in area and if <code class='latex inline'>x</code> represents 12 m, find the increase in area.</p>

<p>A cube has side length <code class='latex inline'>x</code>. Each dimension is increased by <code class='latex inline'>y</code>.</p><p>Write an algebraic expression for the surface area of the new cube.</p>

<p>For each situation, begin with a square field, measuring <code class='latex inline'>x</code> metres by <code class='latex inline'>x</code> metres.</p><p>Then, draw a diagram of the new field, write an algebraic expression for its area, and expand and simplify your area expression.</p>
<ul>
<li>I) The length of one side is increased by 10 m</li>
<li>ii) The length of one side is doubled.</li>
<li>iii) The length is increased by 5 m and thewidthisincreasedby6m.</li>
</ul>

<p>A cube has side length <code class='latex inline'>x</code>. Each dimension is increased by <code class='latex inline'>y</code>.</p><p>Write an algebraic expression for the surface area of the original cube.</p>

<p>Write an algebraic expression for the area of each figure. Expand and simplify. Then, find the area in another way to verify your result.</p><img src="/qimages/594" />

<p>Model each binomial product using algebra tiles, virtual algebra tiles, or a diagram.</p><p><code class='latex inline'>(2x + 1)(3x +2)</code></p>

<p>A square garden has side length x. One dimension is increased by 6 In and the other is increased by 3 m.</p><img src="/qimages/591" /><p>Find an expression that represents the increase in area.</p>

<p>What binomial product does the model illustrate?</p><img src="/qimages/590" />

<p>A rectangular prism has width w centimetres, length 2 cm more than its width, and height 2 cm.</p><p>Draw a diagram of the prism and express the volume as a product then expand and simplify the volume expression.</p>

<p>A rectangular prism has width w centimetres, length 2 cm more than its width, and height 2 cm.</p><p>Draw a diagram of the prism and express the volume as a product.</p>

<p>What binomial product does the model illustrate?</p><img src="/qimages/589" />

<p>What binomial product does the model illustrate?</p><img src="/qimages/593" />

<p>A square garden has side length x. One dimension is increased by 6 In and the other is increased by 3 m.</p><img src="/qimages/591" /><p>Write an algebraic expression for the area of the new garden.</p>