Algebra-1 Problems

10.4 Add/Subtract Expressions: Like Denominators


Problem #

Problem Statement

Problems Similar To

1.

Add and simplify.

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

2.

Add and simplify.

\begin{equation}\frac{8x}{x-10}-(\frac{10x}{x-10})\end{equation}

3.

Add and simplify.

\begin{equation}\frac{x+7}{x+4}+\frac{x+7}{x+4}\end{equation}

4.

Add and simplify.

\begin{equation}\frac{4}{8x+7}+\frac{3}{8x+7}\end{equation}

5.

Add and simplify.

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

6.

Add and simplify.

\begin{equation}\frac{4x+6}{3x^{2}}+\frac{5x+4}{3x^{2}}\end{equation}

7.

Add and simplify.

\begin{equation}\frac{4x}{8x^{3}}+\frac{9x}{8x^{3}}\end{equation}

8.

Add and simplify.

\begin{equation}\frac{x^{2}+x}{x^{2}-64}-(\frac{x^{2}+8}{x^{2}-64})\end{equation}

9.

Add and simplify.

\begin{equation}\frac{9x-6}{x^{2}+13x+42}-(\frac{4x-4}{x^{2}+13x+42})\end{equation}

10.

Add and simplify.

\begin{equation}\frac{x^{2}+7x}{x^{2}+12x+35}+\frac{7}{x+5}\end{equation}