Algebra-1 Problems

10.4 Add/Subtract Expressions: Like Denominators


Problem #

Problem Statement

Problems Similar To

1.

Add and simplify.

\begin{equation}\frac{4x}{8}+\frac{6x}{8}\end{equation}

2.

Add and simplify.

\begin{equation}\frac{7x}{x-9}-(\frac{3x}{x-9})\end{equation}

3.

Add and simplify.

\begin{equation}\frac{x+7}{x+9}+\frac{x+9}{x+9}\end{equation}

4.

Add and simplify.

\begin{equation}\frac{5}{2x+7}+\frac{5}{2x+7}\end{equation}

5.

Add and simplify.

\begin{equation}\frac{x^{2}+5x}{x+8}+\frac{2x+5}{x+8}\end{equation}

6.

Add and simplify.

\begin{equation}\frac{3x+8}{3x^{2}}+\frac{9x+6}{3x^{2}}\end{equation}

7.

Add and simplify.

\begin{equation}\frac{6x}{6x^{3}}+\frac{6x}{6x^{3}}\end{equation}

8.

Add and simplify.

\begin{equation}\frac{x^{2}+x}{x^{2}-100}-(\frac{x^{2}+10}{x^{2}-100})\end{equation}

9.

Add and simplify.

\begin{equation}\frac{3x-9}{x^{2}+18x+81}-(\frac{10x-5}{x^{2}+18x+81})\end{equation}

10.

Add and simplify.

\begin{equation}\frac{x^{2}+6x}{x^{2}+14x+48}+\frac{4}{x+8}\end{equation}