Question

Chris is checking to determine if the expressions 2(x+3) and 2 x+4+2x are equivalent. When x=1 , he correctly finds both expressions have a value of 8. When x=2, he correctly evaluates the first expression to find that 2(x+3)=10

Answer 1

The expressions 2(x+3) and 2x+4+2x are not equivalent.

Step-by-step explanation:

To determine if the expressions 2(x+3) and 2x+4+2x are equivalent, we can simplify them and compare the results. Let's simplify each expression when x=1:

2(x+3) = 2(1+3) = 2(4) = 8

2x+4+2x = 2(1)+4+2(1) = 2+4+2 = 8

Both expressions evaluate to 8 when x=1, so they are equivalent. Now, let's evaluate the first expression when x=2:

2(x+3) = 2(2+3) = 2(5) = 10

The first expression evaluates to 10 when x=2, which is different from the value of 8 obtained from the second expression. Therefore, the expressions 2(x+3) and 2x+4+2x are not equivalent.

Answer 2

Answer: B. The value of the second expression is 10, so the expressions are equivalent.