Evaluate the expression for z = 7. Write your answer in simplest form. z - 6/-z + 2 = ____

Identify Expression: Identify the expression after substituting z = 7 Substitute 7 for z in (z - 6)/(-z + 2). (7 - 6)/(-7 + 2)Substitute and Simplify: Evaluate 7 - 6 7 - 6 = 1 Numerator: 1Evaluate Numerator: Evaluate -7 + 2 -7 + 2 = -5 Denominator: -5Evaluate Denominator: 1/(-5) Rewrite the fraction in simplest form. The fraction 1/(-5) is already in its simplest form because the numerator and denominator have no common factors other than 1. Final expression: -1/5

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Evaluate the expression for $z = 7$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{z - 6}{-z + 2} =$ __

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

z = 7

\newline

Write your answer in simplest form.

\newline

\frac{z - 6}{-z + 2} =

Identify Expression: Identify the expression after substituting $z = 7$ $\newline$ Substitute $7$ for $z$ in $\frac{z - 6}{-z + 2}$ . $\newline$ $\frac{7 - 6}{-7 + 2}$
Substitute and Simplify: Evaluate $7 - 6$ $\newline$ $7 - 6 = 1$ $\newline$ Numerator: $1$
Evaluate Numerator: Evaluate $-7 + 2$ $-7 + 2 = -5$ Denominator: $-5$
Evaluate Denominator: $\frac{1}{(-5)}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ The fraction $\frac{1}{(-5)}$ is already in its simplest form because the numerator and denominator have no common factors other than $1$ . $\newline$ Final expression: $-\frac{1}{5}$