# Distributive Property (Expanding) With Area Model Problems

8 questions

### #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.

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

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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
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 Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”