Question

Angela used multiplication to simplify the expression by distributing the 1 2 through the parentheses. Angela's expression: 1 2 (6X + 2) Simplified expression: 3x + 2 Which statement is true of Angela’s work? She correctly distributed the One-half through the parentheses. Division, rather than multiplication, is the operation to use when distributing. Angela needed to multiply One-half by each of the terms inside the parentheses. Her product when multiplying One-half start bracket 6 x end bracket is incorrect.

Answer 1

Angela's method of distribution is incorrect. She should have multiplied each term inside the parentheses by 1/2, resulting in the simplified expression 3x + 1 rather than 3x + 2.

Step-by-step explanation:

The student's question involves Angela simplifying the expression 1/2 (6x + 2).

The statement that Angela correctly distributed the one-half through the parentheses is incorrect.

When multiplying a binomial by a fraction, each term inside the parentheses must be multiplied by the fraction.

In this case, Angela should have multiplied both 6x and 2 by 1/2, resulting in 3x + 1, not 3x + 2.

It is important to apply the distribution property correctly to both terms inside the parentheses.