Question

Match the expressions with the property used to generate 5y + 2y + 6 + 2. what is the expression and what is the property?

Answer 1

The given expression : 5y + 2y + 6 + 2

Commutative Property: The general form of commutative property is a + b = b + a

The given expression :

$5y\text{ + 2y + 6 + 2}=\text{ 5y +}2+6+2y$

Combining like term : Terms are like terms when they have the exact same variables with the exact same exponents are equate together : a+b+2a +d = a +2a + b + d

The given expression :

$5y\text{ + 2y + 6 + 2}=\text{ 6y-}y+2y+10-4+2$

Distributive Property: The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation. This property can be stated symbolically as: A(B+C) = AB + AC

$5y\text{ + 2y + 6 + 2}=\text{ 5y+}2(y+3)+2$