Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate the expression for $x = -2$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{x - 7}{-x - 8} = \underline{\hspace{2em}}$

View step-by-step help

View step-by-step help

Evaluate rational expressions II

Full solution

Q. Evaluate the expression for

x = -2

.

\newline

Write your answer in simplest form.

\newline

\frac{x - 7}{-x - 8} = \underline{\hspace{2em}}

Identify Expression: Identify the expression after substituting $x = -2$ $\newline$ Substitute $-2$ for $x$ in $\frac{x - 7}{-x - 8}$ . $\newline$ $\frac{(-2) - 7}{-(-2) - 8}$
Substitute $x = -2$ : Evaluate $(-2) - 7$ $\newline$ $(-2) - 7 = -9$ $\newline$ Numerator: $-9$
Evaluate Numerator: Evaluate $-(-2) - 8$ $-(-2) - 8 = 2 - 8 = -6$ Denominator: $-6$
Evaluate Denominator: $-\frac{9}{-6}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $-9$ and $-6$ by their greatest common divisor, which is $3$ . $\newline$ $\frac{-9}{-6} = \frac{3 \times -3}{3 \times -2}$ $\newline$ Cancel out the negative signs and the common factor of $3$ . $\newline$ $= \frac{3}{2}$

More problems from Evaluate rational expressions II

Question

Evaluate the expression for

t = -4.4

\newline

Write your answer in simplest form.

\newline

` frac{t - 4}{t - 2} =` ____

Posted 2 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{g}{3g^2 - 4g}

Posted 3 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\frac{3}{2} - \frac{5p^3}{3}

Posted 3 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{1 + \frac{v^5w}{3}}{1}

\newline

Posted 3 months ago

Question

h

\newline

\frac{-5}{h - 2} = \frac{-4}{h - 3}

\newline

1

2

\newline

h =

h =

Posted 2 months ago

Question

What is the equation of the vertical asymptote of

y = \frac{1}{x + 9}

Posted 3 months ago

Question

What is the excluded value for

y = \frac{1}{x - 9} - 9

\newline

Posted 3 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{9k + 4}{9k^2 + 4k}

\newline

Posted 3 months ago

Question

Divide. Write your answer in simplest form.

\newline

\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)

\newline

Posted 3 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{5 - \frac{3}{t^3}}{1}

\newline

Posted 3 months ago