Evaluate the expression for u = 3. Write your answer in simplest form. u - 10/-u - 5 = ____

Identify expression: Identify the expression after substituting u = 3 Substitute 3 for u in u - 10/-u - 5. (3 - 10)/(-3 - 5)Substitute u=3: Evaluate 3 - 10 3 - 10 = -7 Numerator: -7Evaluate subtraction: Evaluate -3 - 5 -3 - 5 = -8 Denominator: -8Evaluate subtraction: -7/(-8) Rewrite the fraction in simplest form. Divide both -7 and -8 by their greatest common divisor, which is 1, so the fraction remains the same. -7/(-8) = 7/8 Cancel out the negative signs. = 7/8

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Evaluate the expression for $u = 3$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{u - 10}{-u - 5} = \underline{\hspace{2em}}$

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

u = 3

\newline

Write your answer in simplest form.

\newline

\frac{u - 10}{-u - 5} = \underline{\hspace{2em}}

Identify expression: Identify the expression after substituting $u = 3$ $\newline$ Substitute $3$ for $u$ in $\frac{u - 10}{-u - 5}$ . $\newline$ $\frac{3 - 10}{-3 - 5}$
Substitute $u=3$ : Evaluate $3 - 10$ $3 - 10 = -7$ Numerator: $-7$
Evaluate subtraction: Evaluate $-3 - 5$ $-3 - 5 = -8$ Denominator: $-8$
Evaluate subtraction: $-\frac{7}{-8}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $-7$ and $-8$ by their greatest common divisor, which is $1$ , so the fraction remains the same. $\newline$ $-\frac{7}{-8} = \frac{7}{8}$ $\newline$ Cancel out the negative signs. $\newline$ $= \frac{7}{8}$