Question

Fill in the property used to justify each steps of simplification. Steps: 3+4(x+1) properties: Given.

a.3+(4x+4)
b.(4x+4)+3
c. 4x+(4+3)
d. 4x+7

Answer 1

The property used to justify each step of simplification in the given expression is the distributive property, the commutative property, and the associative property.

Step-by-step explanation:

Step a: Distributive property. Multiply 4 by each term inside the parentheses. This gives us 4x + 4.

Step b: Commutative property. Rearrange the terms so that the constant term, which is 3 in this case, comes after the expression 4x + 4. This gives us 4x + 4 + 3.

Step c: Associative property. Group the constants, which are 4 and 3, and add them together. This gives us 4x + (4 + 3).

Step d: Simplify the expression.

Add 4 and 3 together, which gives us 7. The final expression is 4x + 7.