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Expressions, Equations, And Inequalities
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Distributive Property (Expanding) With Area Model

Distributive Property (Expanding) With Area Model Problems

8 questions
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#1 of 8: Mild

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`5(9 + 2j)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`9`" }, { "value": "`2j`" } ], [ { "value": "`5`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

#2 of 8: Mild

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`9(4x + 8)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`4x`" }, { "value": "`8`" } ], [ { "value": "`9`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

#3 of 8: Medium

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`3(10y + 14z)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`10y`" }, { "value": "`14z`" } ], [ { "value": "`3`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

#4 of 8: Medium

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`4.5 (2h + 20j)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`2h`" }, { "value": "`20j`" } ], [ { "value": "`4.5`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

#5 of 8: Medium

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`2.5(12y + 2z) `</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`12y`" }, { "value": "`2z`" } ], [ { "value": "`2.5`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

#6 of 8: Spicy

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`1/5 (30j + 25)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`30j`" }, { "value": "`25`" } ], [ { "value": "`1/5`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

#7 of 8: Spicy

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`1.5 (5x + 6)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`5x`" }, { "value": "`6`" } ], [ { "value": "`1.5`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

#8 of 8: Spicy

Distributive property (expanding) with area model

<p>Use the area model to simplify the expression:</p><p>`0.5 (8x + 22)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`8x`" }, { "value": "`22`" } ], [ { "value": "`0.5`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } }, { "value": "`?`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "120", "width": "160" } } ] ]}'></TableUIv2 ></selectivedisplay>

Distributive property applies in a situation when a number is multiplied with the difference or the sum of two or more terms. This mathematical property helps us in solving complex equations from different domains of the subject. This property applies to the difference or the sum of two or more terms.

Share this exciting area model distributive property problems with your students and make them understand the concepts of distributive property and their uses properly.

You can also try Distributive Property (Expanding) With Area Model Quiz for a better understanding of the concepts.

Distributive property applies in a situation when a number is multiplied with the difference or the sum of two or more terms. This mathematical property helps us in solving complex equations from different domains of the subject. This property applies to the difference or the sum of two or more terms.

Share this exciting area model distributive property problems with your students and make them understand the concepts of distributive property and their uses properly.

You can also try Distributive Property (Expanding) With Area Model Quiz for a better understanding of the concepts.

Distributive property applies in a situation when a number is multiplied with the difference or the sum of two or more terms. This mathematical property helps us in solving complex equations from different domains of the subject. This property applies to the difference or the sum of two or more terms.

Share this exciting area model distributive ...

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Grade 6
Expressions, Equations, And Inequalities
6.EE.A.3

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”