Algebra-1 Problems

10.4 Add/Subtract Expressions: Like Denominators


Problem #

Problem Statement

Problems Similar To

1.

Add and simplify.

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

2.

Add and simplify.

\begin{equation}\frac{2x}{x-4}-(\frac{10x}{x-4})\end{equation}

3.

Add and simplify.

\begin{equation}\frac{x+8}{x+3}+\frac{x+5}{x+3}\end{equation}

4.

Add and simplify.

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

5.

Add and simplify.

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

6.

Add and simplify.

\begin{equation}\frac{10x+5}{2x^{2}}+\frac{9x+10}{2x^{2}}\end{equation}

7.

Add and simplify.

\begin{equation}\frac{4x}{6x^{3}}+\frac{7x}{6x^{3}}\end{equation}

8.

Add and simplify.

\begin{equation}\frac{x^{2}+x}{x^{2}-16}-(\frac{x^{2}+4}{x^{2}-16})\end{equation}

9.

Add and simplify.

\begin{equation}\frac{4x-10}{x^{2}+9x+18}-(\frac{9x-7}{x^{2}+9x+18})\end{equation}

10.

Add and simplify.

\begin{equation}\frac{x^{2}+7x}{x^{2}+17x+70}+\frac{8}{x+10}\end{equation}