Area model distributive property is an important topic in math for the students to understand. These are the basic word problems that help the students to understand the concept of distributive property using area models. This is majorly used to find the area of different shapes like square or rectangle. Teachers can share this amazing Ar...
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Distributive Property (Expanding) With Area Model Quiz
8 questions
#1 of 8: Mild
Distributive property (expanding) with area model
<p>Use the area model to simplify the expression:</p><p>`10(8y + 5)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`8y`" }, { "value": "`5`" } ], [ { "value": "`10`", "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>`11(8 + 7y)`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`8`" }, { "value": "`7y`" } ], [ { "value": "`11`", "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>
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Grade 6
Expressions, Equations, And Inequalities
6.EE.A.3
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Summerville, SC
Summerville, SC
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Miami, FL
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What teachers are saying about BytelearnWhat teachers are saying
Stephen Abate
19-year math teacher
Carmel, CA
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
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
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”