Question

Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14.

What is the value of the second expression when x = 5, and are the two expressions equivalent?
The value of the second expression is 8, so the expressions are not equivalent.
The value of the second expression is 14, so the expressions are equivalent.
The value of the second expression is 16, so the expressions are equivalent.
The value of the second expression is 18, so the expressions are not equivalent.

Answer 1

The value of the second expression is 14, so the expressions are equivalent.

Explanation:

Answer 2

The value of the second expression is 14, so the expressions are equivalent.

Explanation:

x=5

6+2(5)-2=

6+10-2=

16-2=

14

The other expression also came out to be 14, so they are equivalent.