Quiz about Operations with Rational Expressions Quiz

Question 1

$$\frac{x+3}{\left(x+3\right)\left(x+2\right)}+\frac{x-5}{\left(x+3\right)\left(x+2\right)}$$

Accepted Answer

$$\frac{2x-2}{\left(x+3\right)\left(x+2\right)}$$

Answer

$$\frac{2}{\left(x+3\right)}$$

Answer

$$\frac{x^2-2}{\left(x+3\right)\left(x+2\right)}$$

Answer

$$\frac{-2}{\left(x+3\right)\left(x+2\right)}$$

Question 2

$$\frac{x-3}{6x\left(5x-2\right)}-\frac{6}{6x\left(5x-2\right)}$$

Accepted Answer

$$\frac{x-9}{6x\left(5x-2\right)}$$

Answer

$$\frac{x+3}{6x\left(5x-2\right)}$$

Answer

$$\frac{x-3}{2x\left(5x-2\right)}$$

Answer

$$\frac{-3x}{2x\left(5x-2\right)}$$

Question 3

$$\frac{6x}{5y}-\frac{6x}{6}$$

Accepted Answer

$$\frac{6x-5xy}{5y}$$

Answer

$$\frac{1}{30y}$$

Answer

Answer

$$\frac{36x-30y}{30xy}$$

Question 4

$$\frac{2x}{x-5}+\frac{3}{x+2}$$

Accepted Answer

$$\frac{2x^2+7x-15}{\left(x-5\right)\left(x+2\right)}$$

Answer

$$\frac{2x^2-7x+15}{\left(x-5\right)\left(x+2\right)}$$

Answer

$$\frac{2x+3}{\left(x-5\right)\left(x+2\right)}$$

Answer

$$\frac{5x}{\left(x-5\right)\left(x+2\right)}$$

Operations with Rational Expressions Quiz