Question

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

What is the value of the second expression when x = 2, and are the two expressions equivalent?
The value of the second expression is 2, so the expressions are equivalent.
The value of the second expression is 4, so the expressions are not equivalent.
The value of the second expression is 8, so the expressions are not equivalent.
The value of the second expression is 10, so the expressions are equivalent.

Answer 1

The value of the second expression is 8, so the expressions are not equivalent.

Answer 2

The value of the second expression is 8, so the expressions are not equivalent.

Step-by-step explanation:

Given expressions:

x + x + 6 and 4 + 3 x - 2

When x = 4

Put x = 4 in both expression;

Expression 1 :

x + x + 6 = 4 +4 + 6 = 14

Expression 2 :

4 + 3x - 2 = 4 + 3(4) - 2 = 14

When x = 2

Put x = 2 in both expression ;

Expression 1 :

x + x + 6 = 2 + 2 + 6 = 10

Expression 2:

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