IM 6.6.11 Practice: The Distributive Property, Part 3

For each expression, use the distributive property to write an equivalent expression.

[math]4(x+2)[/math]

[math](6+8)\cdot x[/math]

[math]4(2x+3)[/math]

[math]6(x+y+z)[/math]

Priya rewrites the expression [math]8y-24[/math] as [math]8(y-3)[/math]. Han rewrites [math]8y-24[/math] as [math]2(4y-12)[/math]. Are Priya's and Han's expressions each equivalent to[math]8y-24[/math]? Explain your reasoning.

Select [b]all[/b] the expressions that are equivalent to [math]16x+36[/math].

[math]16(x+20)[/math] [math]4(4x+9)[/math] [math]2(8x+18)[/math] [math]2(8x+36)[/math] [math]x(16+36)[/math]

The area of a rectangle is [math]30+12x[/math]. List at least 3 possibilities for the length and width of the rectangle.

Select [b]all[/b] the expressions that are equivalent to [math]\frac{1}{2}z[/math].

[math]2z[/math] [math]z\div2[/math] [math]\frac{1}{4}z+\frac{1}{4}z[/math] [math]z+z[/math] [math]z\cdot z[/math]

What is the perimeter of a square with side length:

3 cm?

7 cm?

[math]s[/math] cm?

[size=150]If the perimeter of a square is 360 cm, what is its side length?[/size]

What is the area of a square with side length:

3 cm?

7 cm?

[math]s[/math] cm?

If the area of a square is 121 cm[sup]2[/sup], what is its side length?

Solve each equation.

[math]10=4a[/math]

[math]5b=17.5[/math]

[math]1.036=10c[/math]

[math]0.6d=1.8[/math]

[math]15=0.1e[/math]

– GeoGebra Classroom Activities, IM 6 – 8 Math

Information: IM 6.6.11 Practice: The Distributive Property, Part 3