Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.
Step 1: [missing]
Step 2: 10+13a=10+13a
Step 3: The expressions are equivalent because they both equal the same value.
(1 point)
Step 1: Rearrange the terms using the Commutative Property: 12a + 10 + a = 10 + a + 12a
Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?
Substituting 1 for x in the equation 5x + 3 = x⋅5 + 3 is a test case for the Reflexive Property.
Step 1: Rearrange the terms using the commutative property of addition: 12a + 10 + a = 10 + a + 12a.
To determine the missing step in proving the equivalence of 12a+10+a=10+a+12a using the Commutative Property, we need to rearrange the terms so that the addition operation is commutative. The Commutative Property states that the order of addition does not affect the result.
Step 1: 12a+10+a = [missing]
In this case, the missing step would be to rearrange the terms so that the variables and constants are grouped together on both sides of the equation.
The correct missing step would be:
Step 1: 12a+10+a = a+10+12a
By rearranging the terms using the Commutative Property, we can see that the equation becomes a+10+12a on both sides, which is equivalent to having 10+a+12a.