Algebra-1 Problems

10.4 Add/Subtract Expressions: Like Denominators


Problem #

Problem Statement

Problems Similar To

1.

Add and simplify.

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

2.

Add and simplify.

\begin{equation}\frac{5x}{x-5}-(\frac{5x}{x-5})\end{equation}

3.

Add and simplify.

\begin{equation}\frac{x+9}{x+5}+\frac{x+6}{x+5}\end{equation}

4.

Add and simplify.

\begin{equation}\frac{4}{3x+10}+\frac{8}{3x+10}\end{equation}

5.

Add and simplify.

\begin{equation}\frac{x^{2}+9x}{x+10}+\frac{10x+10}{x+10}\end{equation}

6.

Add and simplify.

\begin{equation}\frac{5x+7}{5x^{2}}+\frac{9x+7}{5x^{2}}\end{equation}

7.

Add and simplify.

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

8.

Add and simplify.

\begin{equation}\frac{x^{2}+x}{x^{2}-4}-(\frac{x^{2}+2}{x^{2}-4})\end{equation}

9.

Add and simplify.

\begin{equation}\frac{8x-8}{x^{2}+9x+18}-(\frac{4x-9}{x^{2}+9x+18})\end{equation}

10.

Add and simplify.

\begin{equation}\frac{x^{2}+7x}{x^{2}+14x+49}+\frac{6}{x+7}\end{equation}