Quiz about Fracciones Algebraicas

Question 1

$$\frac{20af}{4a}$$

Accepted Answer

5f

Answer

5af

Answer

5a

Answer

20f

Question 2

$$\frac{42xyz}{56}$$

Accepted Answer

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

Answer

$$\frac{6xyz}{8}$$

Answer

$$\frac{6yz}{8}$$

Answer

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

Question 3

$$\frac{6x+8}{2}$$

Accepted Answer

3x+4

Answer

6x+8

Answer

3x+8

Answer

6x+4

Question 4

$$\frac{33a^2b^2}{44a^3b}$$

Accepted Answer

$$\frac{3b}{4a}$$

Answer

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

Answer

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

Answer

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

Question 5

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

Accepted Answer

x+6

Answer

x+3

Answer

(x+6)(x+3)

Answer

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

Question 6

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

Accepted Answer

x+7

Answer

$$\frac{x+7}{x+7}$$

Answer

1

Answer

$$\frac{1}{x+7}$$

Question 7

$$\frac{16mn}{18n}$$

Accepted Answer

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

Answer

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

Answer

$$\frac{8m}{9n}$$

Answer

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

Question 8

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

$$\frac{x^2+6x+9}{x^2-2x-15}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

$$\frac{8x^4}{2x^2}$$

Accepted Answer

$$4x^2$$

Answer

$$4x^3$$

Answer

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

Answer

$$\frac{8x^2}{2}$$

Question 11

$$\frac{6-3x}{2x^2-8}\div\frac{12x-48}{6x+12}$$

Accepted Answer

$$\frac{-3}{4\left(x-4\right)}$$

Answer

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

Answer

$$\frac{3}{4\left(x-4\right)}$$

Answer

none of the above

Question 12

$$\frac{x^2-4x+4}{x^2-5x}\cdot\frac{x}{x^2-2x}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\frac{x-4}{x^2-5x}$$

Question 13

$$\frac{x^2-4}{x^2-9}\cdot\frac{x-3}{x+2}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

$$\frac{x^2-5x+6}{x^2-4}\cdot\frac{x^2-3x+2}{x^2-9}$$

Accepted Answer

$$\frac{\left(x-2\right)\left(x-1\right)}{\left(x+2\right)\left(x+3\right)}$$

Answer

$$\frac{\left(x-2\right)}{\left(x+6\right)\left(x-1\right)}$$

Answer

$$\frac{\left(x-1\right)\left(x-2\right)}{\left(x-3\right)\left(x+2\right)}$$

Answer

$$\frac{\left(x-1\right)}{\left(x-3\right)\left(x-2\right)}$$

Question 15

$$\frac{16x^2-4}{\left(3x^2\right)\left(2yz\right)}\div\frac{4\left(2x+1\right)^2}{9xz}$$

Accepted Answer

$$\frac{3\left(2x-1\right)}{2xy\left(2x+1\right)}$$

Answer

$$\frac{3\left(4x-2\right)\left(4x+2\right)}{2xy\left(2x+1\right)^2}$$

Answer

$$\frac{\left(2x-1\right)}{2xy\left(2x+1\right)}$$

Answer

none of the above

Question 16

$$\frac{x^2-6x}{x^2-36}\div\frac{x^2}{x+6}$$

Accepted Answer

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

Answer

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

Answer

x

Answer

$$x^2$$

Question 17

$$\frac{y^2-7y+10}{y^2-y-2}\div\frac{y^2-2y-15}{y^2+5y+4}$$

Accepted Answer

$$\frac{y+4}{y+3}$$

Answer

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

Answer

$$\frac{y+3}{y+4}$$

Answer

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

Question 18

$$\frac{35x^2+20}{5}$$

Accepted Answer

$$7x^2+4$$

Answer

$$5x^2+4$$

Answer

$$\frac{7x^2+4}{5}$$

Answer

$$\frac{5x^2+4}{5}$$

Question 19

$$\frac{6x+8}{2}$$

Accepted Answer

$$3x+4$$

Answer

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

Answer

$$\frac{14x}{2}$$

Answer

$$7x$$

Question 20

$$\frac{\left(7-70m^3\right)}{7}$$

Accepted Answer

$$1-10m^3$$

Answer

$$1-10m^2$$

Answer

$$10-m^3$$

Answer

$$1-70m^2$$

Question 21

$$\frac{20af}{4a}$$

Accepted Answer

5f

Answer

5a

Answer

4a

Answer

4f

Question 22

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

Accepted Answer

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

Answer

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

Answer

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

Answer

-5

Question 23

$$\frac{42xyz}{56}$$

Accepted Answer

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

Answer

$$\frac{6xyz}{8}$$

Answer

$$\frac{6yz}{8}$$

Answer

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

Question 24

$$\frac{\left(3a^2\right)^2}{3a}$$

Accepted Answer

$$3a^3$$

Answer

$$a^3$$

Answer

$$2a^3$$

Answer

$$a^2$$

Question 25

$$\frac{\left(3a^2\right)^2}{18a^3}$$

Accepted Answer

$$\frac{a}{2}$$

Answer

$$\frac{a}{3}$$

Answer

$$2a$$

Answer

$$\frac{a}{6}$$

Question 26

$$\frac{15}{5\left(3-a\right)}$$

Accepted Answer

$$\frac{3}{3-a\ }$$

Answer

$$3-a$$

Answer

$$\frac{3-a}{3}$$

Answer

$$\frac{3}{a-3}$$

Question 27

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 28

$$\frac{\left(x+2\right)^2\left(x-1\right)^2}{\left(x-1\right)^2x^2}$$

Accepted Answer

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

Answer

$$\frac{\left(x-1\right)^2}{x^2}$$

Answer

$$\frac{\left(x+2\right)\left(x-1\right)}{x^2}$$

Answer

$$4$$

Question 29

$$\frac{8w+2-4m}{12}$$

Accepted Answer

$$\frac{4w+1-2m}{6}$$

Answer

$$\frac{2w+2-2m}{6}$$

Answer

$$\frac{4w\ +2+4m}{6}$$

Answer

$$\frac{4w+1-2m}{12}$$

Question 30

$$\frac{10x^7+15x^5-30x^4}{5x}$$

Accepted Answer

$$2x^6+3x^4-6x^3$$

Answer

$$2x^7+3x^5-6x^4$$

Answer

$$2x^8+3x^6-6x^6$$

Answer

$$2x^6+3x^4+6x^3$$

Question 31

$$\frac{8x^6+x^4+3x}{x}$$

Accepted Answer

$$8x^5+x^3+3$$

Answer

$$8x^6+4x+3$$

Answer

$$8x^6+x^3+3x$$

Answer

$$12x^{10}$$

Question 32

$$\frac{6c^9-12c^3}{3c^2}$$

Accepted Answer

$$2c^7-4c$$

Answer

$$3c^9-9c^2$$

Answer

$$2c\left(c^5-2\right)^2$$

Answer

$$2c^7+4c$$

Question 33

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

Accepted Answer

$$x+6$$

Answer

$$x+3$$

Answer

$$x+9$$

Answer

$$x-3$$

Question 34

$$\frac{\left(x-1\right)\left(x+1\right)}{x-1}$$

Accepted Answer

x+1

Answer

x-2

Answer

0

Answer

x-1

Question 35

$$\frac{\left(x-3\right)}{\left(x-4\right)\left(x-3\right)}$$

Accepted Answer

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

Answer

x-4

Answer

x-3

Answer

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

Question 36

$$\frac{2\left(x-3 ight)}{\left(x+4 ight)^4} imes\frac{\left(x+4 ight)^{5\ }}{\left(x-3 ight)}$$

Accepted Answer

$$2\left(x+4\right)$$

Answer

$$x+4$$

Answer

$$2$$

Answer

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

Question 37

Simplify the following.

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 38

$$\frac{3\left(7-x\right)}{2\left(x-1\right)^2}\div\frac{5\left(x-1\right)}{7-x}$$

Accepted Answer

$$\frac{3\left(7-x\right)^2}{10\left(x-1\right)^3}$$

Answer

$$\frac{3\left(7-x\right)^{ }}{10}$$

Answer

$$\frac{21x-x^3}{5\left(x-1\right)}$$

Question 39

$$\frac{x^2-6x-7}{x^2-10x+21}$$ .

Accepted Answer

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

Answer

$$\frac{x+1}{x-7}$$

Answer

$$\frac{x-7}{x-3}$$

Answer

$$\frac{\left(x-1\right)}{\left(x+3\right)}$$

Question 40

$$\frac{x^2+6x+9}{x^2-9}$$ .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 41

$$\frac{2x^2+x}{2x^3+7x^2+3x}$$ .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 42

$$\frac{4x^2-25}{2x^2+7x+5}$$ .

Accepted Answer

$$\frac{2x-5}{x+1}$$

Answer

$$\frac{2x+5}{x+1}$$

Answer

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

Answer

$$\frac{2x+5}{x-1}$$

Question 43

$$\frac{9}{10h} imes\frac{5h}{4}$$

Accepted Answer

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

Answer

$$\frac{45h^2}{40h}$$

Answer

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

Answer

$$\frac{45h}{40h}$$

Question 44

$$\frac{5q}{7}\div\frac{9q}{8}$$

Accepted Answer

$$\frac{40q}{63q}$$

Answer

$$\frac{14q}{15}$$

Answer

$$\frac{103q}{56}$$

Answer

$$\frac{45q}{63}$$

Question 45

$$\frac{\left(x+2\right)^2\left(x-1\right)^2}{\left(x-1\right)^2x^2}$$

Accepted Answer

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

Answer

$$\frac{\left(x-1\right)^2}{x^2}$$

Answer

$$\frac{\left(x+2\right)\left(x-1\right)}{x^2}$$

Answer

$$4$$

Question 46

$$\frac{3a-6}{a^2-3a+2}$$ .

Accepted Answer

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

Answer

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

Answer

$$3a-3$$

Answer

$$\frac{3\left(a-2\right)}{\left(a+1\right)\left(a+2\right)}$$

Question 47

$$\frac{\left(p+3q\right)^2}{20p+60q}$$

Accepted Answer

$$\frac{p+3q}{20}$$

Answer

$$\frac{p+3q}{80}$$

Answer

$$\frac{1}{80}$$

Answer

$$\frac{\left(p+3q\right)^2}{20\left(p+3q\right)}$$

Question 48

$$\frac{d^2+3d}{9d+27}$$

Accepted Answer

$$\frac{d}{9}$$

Answer

$$\frac{d\left(d+3\right)}{9\left(d+3\right)}$$

Answer

$$\frac{d+3}{36}$$

Answer

$$\frac{d+1}{12}$$

Question 49

$$\frac{6x^2+3x}{4x^2-1}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 50

$$\frac{2x^2-x-28}{20-x-x^2}$$ .

Accepted Answer

$$-\frac{2x+7}{x+5}$$

Answer

$$\frac{2x+7}{x+5}$$

Answer

$$-\frac{2x-7}{x-5}$$

Answer

$$\frac{2x-7}{x-5}$$

Question 51

$$\frac{x^2+2x-15}{9-x^2}$$ .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 52

$$\frac{4x^2-22x+30}{2x^2+6x-36}$$ .

Accepted Answer

$$\frac{2x-5}{x+6}$$

Answer

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

Answer

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

Answer

$$\frac{2x+5}{x-6}$$

Question 53

$$\frac{x^2-16}{x^2-8x+16}$$ .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 54

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 55

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

Accepted Answer

x+6

Answer

x+3

Answer

(x+6)(x+3)

Answer

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

Question 56

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

Accepted Answer

x+7

Answer

$$\frac{x+7}{x+7}$$

Answer

1

Answer

$$\frac{1}{x+7}$$

Question 57

$$\frac{3t^3}{t^2-2t}$$

Accepted Answer

$$\frac{3t^2}{t-2}$$

Answer

$$3t^2$$

Answer

$$-\frac{3t^3}{2}$$

Answer

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

Question 58

$$\frac{x^2-5x}{x^2-25}$$

Accepted Answer

$$\frac{x}{x+5}$$

Answer

$$\frac{x(x-5)}{(x+5)(x-5)}$$

Answer

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

Answer

$$\frac{x}{5}$$

Question 59

$$\frac{4x+20}{6x}$$

Accepted Answer

$$\frac{2x+10}{3x}$$

Answer

$$\frac{22}{3}$$

Answer

$$\frac{20}{2x}$$

Answer

$$4$$

Question 60

$$\frac{\left(2x+1\right)^2}{6x^2+3x}$$

Accepted Answer

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

Answer

$$\frac{2x+1}{6x^2+3x}$$

Answer

$$\frac{1}{6x+3}$$

Answer

$$\frac{9}{6x+3}$$

Question 61

$$\frac{x^2-9}{2x+6}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 62

$$\frac{15a^2}{8bc} imes\frac{4c}{5ab}$$

Accepted Answer

$$\frac{3a}{2b^2}$$

Answer

$$\frac{15a}{5ab^2}$$

Answer

$$\frac{3a^2}{2bc}$$

Answer

$$\frac{3a}{b^2}$$

Question 63

$$\frac{9bc}{2a}\div\frac{6b}{4a}$$

Accepted Answer

$$3c$$

Answer

$$\frac{9b}{4a}$$

Answer

$$4a$$

Answer

$$\frac{2c}{b}$$

Question 64

$$\frac{3a-1}{2a^3} imes\frac{6a}{6a-2}$$

Accepted Answer

$$\frac{3}{2a^2}$$

Answer

$$\frac{18a^2-6a}{4a^3\left(6a-2\right)}$$

Answer

$$\frac{3}{a^2}$$

Answer

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

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