Distributive Property (Factoring) With Area Model Problems

7 questions

Preview student experience

#1 of 7: Mild

Distributive property (factoring) with area model

Use the area model to write the expression in factored form:`10e + 18`<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`10e`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`18`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#2 of 7: Medium

Distributive property (factoring) with area model

Use the area model to write the expression in factored form:`64y + 56z`<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`64y`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`56z`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#3 of 7: Medium

Distributive property (factoring) with area model

Use the area model to write the expression in factored form:`8p + 72q`<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`8p`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`72q`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#4 of 7: Medium

Distributive property (factoring) with area model

Use the area model to write the expression in factored form:`7u + 56v`<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`7u`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`56v`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#5 of 7: Spicy

Distributive property (factoring) with area model

Use the area model to write the expression in factored form:`72m + 96n`<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`72m`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`96n`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#6 of 7: Spicy

Distributive property (factoring) with area model

Use the area model to write the expression in factored form:`34r + 85s`<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`34r`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`85s`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

#7 of 7: Spicy

Distributive property (factoring) with area model

Use the area model to write the expression in factored form:`48x + 72y`<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`?`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`48x`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" }, { "value": "`72y`", "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": "52", "width": "96" }, "highlight": true, "highlight_color": "#808080" } ] ]}'></TableUIv2 ></selectivedisplay>

The method of finding factors is known as factoring. The Distributive Property multiplies an existing addition statement which implies that in an addition related equation, a number outside of the parentheses can be multiplied by every number within the parentheses. Alternatively, a common factor can be factorised and written outside of the parentheses. Practising distributive property using area model problems PDF is an excellent way of solving and understanding factoring problems involving distributive property.

Teachers should provide area model problems pdf to stud...

Show all

Grade 6

Expressions, Equations, And Inequalities

6.EE.A.3