Examine the two-step equation.
− 7/4 + x/4 = 2
Which property of operations allows you to add the same constant term to both sides?
A. multiplication property of equality
B. division property of equality
C. addition property of equality
D. subtraction property of equality
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Please explain your answer, why it is correct, and the steps you took to find the answer. I will delete answers that do not do as I say, including absurd ones.
Answers
Answer:
C. addition property of equality
Step-by-step explanation:
In the name, to add a constant term to both sides, you are using an addition property of equality, which would be "undoing" a negative value (here, -7/4) or a number being subtracted from one side by adding the positive version of the value to both sides.
-7/4 + x/4 = 2
+7/4 +7/4 =
x/4 = 2 + 7/4
We are trying to isolate the x value alone on one side, here the left side, so we want to move things to the right side. 2 is a constant, but it is already positive, and on the right side, so we do not need to do anything with it, that would be subtracting the same constant term from both sides (subtraction property of equality). We have to move -(7/4) to the right side, and to do so, we use the addition property of equality.