Quiz about 8.6 Simplifying Rational Expressions

Question 1

Identify the GCF of the expressions: 12x² and 18x³

Accepted Answer

6x2

Answer

6x

Answer

3x2

Answer

6x3

Question 2

Simplify the expression completely: $$\frac{32}{40}$$

Accepted Answer

$$\frac{4}{5}$$

Answer

$$\frac{16}{20}$$

Answer

$$\frac{8}{9}$$

Answer

$$\frac{8}{10}$$

Question 3

Simplify the expression completely: $$\frac{150}{200}$$

Accepted Answer

$$\frac{3}{4}$$

Answer

$$\frac{15}{20}$$

Answer

$$\frac{30}{40}$$

Answer

$$\frac{75}{100}$$

Question 4

Simplify the expression completely: $$\frac{15x^5}{20x^3}$$

Accepted Answer

$$\frac{3x^2}{4}$$

Answer

$$\frac{3}{4x^2}$$

Answer

$$\frac{3x^8}{4}$$

Answer

$$\frac{x^2}{5}$$

Question 5

Simplify the expression completely: $$\frac{12x^5y}{8x^{10}y}$$

Accepted Answer

$$\frac{3}{2x^5}$$

Answer

$$\frac{4}{x^5}$$

Answer

$$\frac{3y}{2x^2}$$

Answer

$$\frac{4x^{-2}}{y}$$

Question 6

Simplify the expression completely: $$\frac{\left(x+4\right)\left(x-2\right)}{\left(x-2\right)\left(x+1\right)}$$

Accepted Answer

$$\frac{x+4}{x+1}$$

Answer

$$4$$

Answer

$$x-2$$

Answer

$$\frac{x+1}{x+4}$$

Question 7

Simplify the expression completely: $$\frac{25x\left(x-1\right)}{5\left(x-2\right)\left(x-1\right)}$$

Accepted Answer

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

Answer

$$5$$

Answer

$$\frac{5x}{x-10}$$

Answer

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

Question 8

Simplify the expression completely: $$\frac{5x^2+5x}{x+1}$$

Accepted Answer

$$5x$$

Answer

$$5$$

Answer

$$x$$

Answer

$$x+1$$

Question 9

Simplify the expression completely: $$\frac{x+4}{x^2-16}$$

Accepted Answer

$$\frac{1}{x-4}$$

Answer

$$\frac{1}{x+4}$$

Answer

$$x+4$$

Answer

$$x-4$$

Question 10

Simplify the expression completely: $$\frac{x^2+4x+4}{x^2-4}$$

Accepted Answer

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

Answer

$$\frac{4x+4}{-4}$$

Answer

$$-x-1$$

Answer

$$x-1$$

Question 11

Simplify the expression completely: $$\frac{2x^2+6x}{x^2+6x+9}$$

Accepted Answer

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

Answer

$$\frac{x^2}{9}$$

Answer

$$x^2+9$$

Answer

$$2x$$

8.6 Simplifying Rational Expressions

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