Answer and explanation:
To find : Create a model for each expression below. Then, write another equivalent expression using the distributive property ?
Solution :
1) [tex]3(x+y)[/tex]
Step 1 - First we create a model of x+y.
Ste 2 - The expression 3(x+y) tells us that we have 3 of the (x+y)’s.
Create a model that shows 3 groups of (x+y).
Step 3 - Count x’s and y’s,
3x's and 3y's.
Step 4 - We grouped together the x’s, and then grouped together the y's.
Step 5 - Write the expression as
[tex]3(x+y)=3x+3y[/tex]
Refer the attached figure below.
2) [tex]4(2h+g)[/tex]
Step 1 - First we create a model of 2h+g.
Ste 2 - The expression 4(2h+g) tells us that we have 4 of the (2h+g)’s.
Create a model that shows 4 groups of (2h+g).
Step 3 - Count 2h’s and g’s,
4(2h)'s and 4(g)'s.
Step 4 - We grouped together the 2h’s, and then grouped together the g's.
Step 5 - Write the expression as
[tex]4(2h+g)=8g+4g[/tex]
Refer the attached figure below.
