Question

determining equivalent
are the expressions equivalent? use j = 3 and j = 8 to determine if they are.
7(j - 2)
4j - 5
are the values of the expressions different?
no, because when j = 8, the value of both expressions is 7 and when j = 8, the value of both expressions is 42.
yes, because when j = 3, the value of both expressions is 7.
yes, because when j = 3, the value of both expressions is 7.
yes, because when j = 8, the values of the expressions are different.

Explanation:

Step1: Evaluate \(7(j - 2)\) and \(4j - 5\) at \(j = 3\)

For \(7(j - 2)\): Substitute \(j = 3\), we get \(7(3 - 2)=7\times1 = 7\).
For \(4j - 5\): Substitute \(j = 3\), we get \(4\times3 - 5 = 12 - 5 = 7\).

Step2: Evaluate \(7(j - 2)\) and \(4j - 5\) at \(j = 8\)

For \(7(j - 2)\): Substitute \(j = 8\), we get \(7(8 - 2)=7\times6 = 42\).
For \(4j - 5\): Substitute \(j = 8\), we get \(4\times8 - 5 = 32 - 5 = 27\).

Answer:

No, because when \(j = 8\), the values of both expressions are different. (The first option: "No, because when \(j = 8\), the values of the expressions are different.")