The correct response is:
Addition Property of Equality
This property allows you to add (or subtract) the same value from both sides of the equation, which justifies the transition from step 3 to step 4 in the problem.
A student solves the following equation:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: (2x+3x)−6=19
Step 3: 5x−6=19
Step 4: 5x−6+6=19+6
Step 5: 5x=25
Step 6: x=5
What property justifies going from step 3 to step 4?
(1 point)
Responses
Combine Like Terms
Combine Like Terms
Substitution Property
Substitution Property
Distributive Property
Distributive Property
Addition Property of Equality
Addition Property of Equality
Commutative Property of Addition
1 answer