Rational Equations

What is the value of x given the equation 𝑥 + 4 = −8?

Find the product of  𝑎 ∙ 𝑏

Simplify the equation

What is the value of a given the equation

Perform the indicated operation,  $\frac{8}{b^2-4}\cdot\frac{b-2}{2b+4}\div\frac{4}{2\left(b+2\right)^2}\ .$  

Solve and check the solution.  $75=15+\frac{x}{3}\ .$  

1. Solve the equation.  $\frac{a}{2}-2=\frac{a}{3}$  

2. Solve the equation.  $\frac{3}{b-2}=\frac{2}{b+2}$  

3. Solve the equation.  $\frac{a+3}{a+7}-\frac{2a-14}{a^2+3a-28}=\frac{2-a}{4-a}$  

4. Solve the equation.  $\frac{10}{2x+8}-\frac{7x+8}{x^2-16}=\frac{-8}{2x-8}$  

1. The sum of the reciprocals of two consecutive integers is  $\frac{11}{30}\ .$  Find the integers. (Give the integers and separate them with a comma, no space in between)

2. If the same number is added to both the numerator and the denominator of the fraction  $\frac{3}{5},$  the result is  $\frac{4}{5}\ .$  Find this number.

3. The numerator is two less than the denominator. If one is subtracted from the numerator and added to the denominator, the value of the fraction is   $\frac{1}{3}.$  Find the original fraction. (Use "/" as a fraction bar, no space in between).