Ioe, Latoya, Christina, and Rhoda each used a different method to verify that $-2(3 x-12)=-6 x+24$.
Whose method can be used to verify that the distributive property was correctly applied to the expression?
Zoe's method
Latoya'symethod
Christina's method
Rhoda's method
Answer
Without knowing the specific methods used by Zoe, Latoya, Christina, and Rhoda, we cannot definitively say whose method can be used to verify that the distributive property was correctly applied. However, any method that involves applying the distributive property as we did above would be correct.
Step 1 ：First, we need to understand the distributive property. The distributive property states that for all real numbers a, b, and c, the equation a(b + c) = ab + ac holds true.
Step 2 ：In this case, we are given the expression -2(3x - 12) = -6x + 24. We can apply the distributive property to the left side of the equation to see if it equals the right side.
Step 3 ：Applying the distributive property, we get -2 * 3x + -2 * -12.
Step 4 ：Solving this, we get -6x + 24.
Step 5 ：So, the left side of the equation after applying the distributive property is equal to the right side of the equation. Therefore, the distributive property was correctly applied to the expression.
Step 6 ：Without knowing the specific methods used by Zoe, Latoya, Christina, and Rhoda, we cannot definitively say whose method can be used to verify that the distributive property was correctly applied. However, any method that involves applying the distributive property as we did above would be correct.
