Quiz about Simplifying Algebraic Fractions

Question 1

Simplify: $$\frac{2x^2+5x+3}{x^2+4x+3}$$

Accepted Answer

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

Answer

$$\frac{2x+1}{x+3}$$

Answer

$$\frac{2x+3}{x+1}$$

Answer

$$\frac{x+1}{x+3}$$

Question 2

Simplify: $$\frac{3x^2-7x+2}{x^2-5x+6}$$

Accepted Answer

$$\frac{3x-1}{x-3}$$

Answer

$$\frac{3x-1}{x-2}$$

Answer

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

Answer

$$\frac{3x+1}{x-3}$$

Question 3

Simplify: $$\frac{4x^2+12x+9}{2x^2+7x+6}$$

Accepted Answer

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

Answer

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

Answer

$$\frac{4x+9}{x+2}$$

Answer

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

Question 4

Simplify: $$\frac{5x^2-11x+6}{x^2-4x+3}$$

Accepted Answer

$$\frac{5x-6}{x-3}$$

Answer

$$\frac{5x-6}{x-1}$$

Answer

$$\frac{x-1}{x-3}$$

Answer

$$\frac{5x+6}{x-3}$$

Question 5

Simplify: $$\frac{6x^2+17x+12}{3x^2+10x+8}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\frac{6x+12}{x+2}$$

Question 6

Simplify: $$\frac{x^2+5x+6}{x^3+6x^2+11x+6}$$

Accepted Answer

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

Answer

$$\frac{x+2}{x+1}$$

Answer

$$\frac{x+3}{x+1}$$

Answer

$$\frac{1}{x+2}$$

Question 7

Simplify: $$\frac{x^3-4x^2+5x-2}{x^2-3x+2}$$

Accepted Answer

$$x-1$$

Answer

$$x-2$$

Answer

$$(x-1)^2$$

Answer

$$x+1$$

Question 8

Simplify: $$\frac{2x^3+7x^2+7x+2}{2x^2+5x+2}$$

Accepted Answer

$$x+1$$

Answer

$$x+2$$

Answer

$$2x+1$$

Answer

$$x-1$$

Question 9

Simplify: $$\frac{3x^3-10x^2+11x-6}{x^2-4x+3}$$

Accepted Answer

$$3x-2$$

Answer

$$x-1$$

Answer

$$x-3$$

Answer

$$3x+2$$

Question 10

Simplify: $$\frac{x^3+6x^2+11x+6}{x^2+5x+6}$$

Accepted Answer

$$x+1$$

Answer

$$x+2$$

Answer

$$x+3$$

Answer

$$x-1$$

Question 11

Simplify: $$\frac{x^3-6x^2+11x-6}{x^3-7x^2+14x-8}$$

Accepted Answer

$$\frac{x-3}{x-4}$$

Answer

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

Answer

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

Answer

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

Question 12

Simplify: $$\frac{2x^3+5x^2+4x+1}{2x^3+7x^2+8x+3}$$

Accepted Answer

$$\frac{x+1}{x+3}$$

Answer

$$\frac{2x+1}{x+3}$$

Answer

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

Answer

$$\frac{x+1}{x+2}$$

Question 13

Simplify: $$\frac{x^3+4x^2+5x+2}{x^3+5x^2+8x+4}$$

Accepted Answer

$$\frac{x+2}{x+4}$$

Answer

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

Answer

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

Answer

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

Question 14

Simplify: $$\frac{3x^3-10x^2+9x-2}{3x^3-13x^2+16x-6}$$

Accepted Answer

$$\frac{x-1}{x-3}$$

Answer

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

Answer

$$\frac{3x-1}{x-3}$$

Answer

$$\frac{x-1}{x-2}$$

Question 15

Simplify: $$\frac{x^4-5x^3+9x^2-7x+2}{x^4-6x^3+13x^2-12x+4}$$

Accepted Answer

$$1$$

Answer

$$x-1$$

Answer

$$x-2$$

Answer

$$0$$

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