Gloria needs to use properties of operations to find an equivalent expression for the expression 7f+18−8(3−f) . She wants to write the expression in its simplest form. Show the steps Gloria will follow to write an equivalent expression in simplest form. For each of the first two steps, write what property of operations Gloria used.

Question

Gloria needs to use properties of operations to find an equivalent expression for the expression  7f+18−8(3−f) . She wants to write the expression in its simplest form. Show the steps Gloria will follow to write an equivalent expression in simplest form. For each of the first two steps, write what property of operations Gloria used.

GPT 3.5 · Answer

Step 1: Distribute the -8 to both terms inside the parentheses:

7f + 18 - 8(3) + 8f

Gloria used the distributive property to multiply the -8 by both terms inside the parentheses.

Step 2: Simplify the expression further by combining like terms:

7f + 18 - 24 + 8f

Gloria used the associative property to combine the constants 18 and -24.

Step 3: Combine like terms:

15f - 6

Gloria used the commutative property to rearrange the terms in the final expression.