Algebra-1 Problems

10.4 Add/Subtract Expressions: Like Denominators


Problem #

Problem Statement

Problems Similar To

1.

Add and simplify.

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

2.

Add and simplify.

\begin{equation}\frac{6x}{x-7}-(\frac{10x}{x-7})\end{equation}

3.

Add and simplify.

\begin{equation}\frac{x+8}{x+5}+\frac{x+4}{x+5}\end{equation}

4.

Add and simplify.

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

5.

Add and simplify.

\begin{equation}\frac{x^{2}+8x}{x+5}+\frac{8x+4}{x+5}\end{equation}

6.

Add and simplify.

\begin{equation}\frac{3x+4}{4x^{2}}+\frac{6x+9}{4x^{2}}\end{equation}

7.

Add and simplify.

\begin{equation}\frac{5x}{7x^{3}}+\frac{8x}{7x^{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{3x-3}{x^{2}+11x+24}-(\frac{8x-3}{x^{2}+11x+24})\end{equation}

10.

Add and simplify.

\begin{equation}\frac{x^{2}+8x}{x^{2}+17x+72}+\frac{9}{x+9}\end{equation}