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Zoe, Latoya, Christina, and Rhoda each used a different method to verify that Negative 2 (3 x minus 12) = negative 6 x + 24. Zoe Latoya Christina Rhoda Step 1 Substitute opposite values of x into both expressions. Substitute the same value of x into both expressions. Substitute opposite values of x into both expressions. Substitute the same value of x into both expressions. Step 2 The expressions are equivalent if the values of the expressions are equal. The expressions are equivalent if the value of one of the expressions is zero. The expressions are equivalent if the values of the expressions are opposites. The expressions are equivalent if the values of the expressions are equal. Whose method can be used to verify that the distributive property was correctly applied to the expression?

Respuesta :

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

rileysherman9

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

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