Answer:
d) Rhoda's method
Step-by-step explanation:
We are given an Algebraic expressions
Negative 2 (3 x minus 12) = negative 6 x + 24.
= -2(3x - 12) = -6x + 24
Distributive property states that:
a(b - c) = ab - ac
2(3x - 12) = -2 × 3x - (-2 ×12)
= -6x + 24
From the above question, we can deduce the following information:
a) Zoe
Step 1
Substitute opposite values of x into both expressions.
2(3x - 12) = -6x + 24
Lets say x = 1, opposite of 1 = -1
Hence
2(3 × 1 - 12) = -6(-1) + 24
-2(3 - 12) = 6 + 24
-6 + 24 = 6 + 24
18 ≠ 18
Step 2.
The expressions are equivalent if the values of the expressions are equal.
Zoe is wrong
b) Latoya
Step 1
Substitute the same value of x into both expressions.
Step 2
The expressions are equivalent if the value of one of the expressions is zero.
Latoya is wrong
c) Christina
Step 1
Substitute opposite values of x into both expressions.
Step 2
The expressions are equivalent if the values of the expressions are opposites.
Christina is wrong
d) Rhoda
Step 1
Substitute the same value of x into both expressions
-2(3x - 12) = -6x + 24
Let say x = 1
-2(3 × 1 - 12) = -6(1) + 24
-2(3 - 12) = -6 + 24
-6 + 24 = -6 + 24
18 = 18
Step 2
The expressions are equivalent if the values of the expressions are equal.
Therefore, Rhoda method is correct
