Question

How can you model a problem with an equation that uses the distributive property?

A) By multiplying each term inside the parentheses by the term outside the parentheses.
B) By adding each term inside the parentheses to the term outside the parentheses.
C) By subtracting each term inside the parentheses from the term outside the parentheses.
D) By dividing each term inside the parentheses by the term outside the parentheses.

Answer 1

To model a problem with an equation that uses the distributive property, one must multiply each term inside the parentheses by the term outside the parentheses. This allows for simplification and solving of equations.

Step-by-step explanation:

The correct answer is A) By multiplying each term inside the parentheses by the term outside the parentheses.

To model a problem with an equation that uses the distributive property, we need to distribute or multiply each term inside the parentheses by the term outside the parentheses. This is done to each term individually to ensure that the equation remains balanced. By doing this, we are multiplying each term inside the parentheses with the term outside the parentheses, which allows us to simplify expressions and solve equations.

For example, if we have the equation 2(x + 3) = 10, we can distribute the 2 to both the x and the 3 inside the parentheses:

2(x + 3) = 2x + 6 = 10

We can then solve the equation by isolating the variable:

2x + 6 = 10

2x = 10 - 6

2x = 4

x = 4/2

x = 2