Honors Algebra 2 Final Exam Review

Find all numbers that must be excluded from the domain of the rational expression.

Simplify

Simplify.

Add or subtract as indicated: $$\frac{9x-13}{x^2-9x+18}-\frac{8x-7}{x^2-9x+18}$$

Solve the following linear equations.

3x + 4 + 2(x + 1) = -4x + 7

Solve the following linear equation and type your numerical answer with no spaces (number only). $$\frac{x+4}{4}=\frac{7}{12}-\frac{x-3}{3}$$

(a)  

Solve the equation and check your solution.

$$\frac{1}{x+6}+\frac{2}{x+3}=\frac{-3}{x^2+9x+18}$$

Perform the indicated operations and write the result in standard form. (5 + 6i)(4 - i) - (3 - i)(3 + i)

Solve the equation by the square root property. $$(x-4)^2=25$$

Solve the equation by factoring.

$$4x^2-27x=7$$