Free Printable Matematika 4. pisana provjera (ALGEBARSKI RAZLOMCI)

1.

U sljedećem zadatku pojednostavi razlomak

$\left(\frac{y}{5}+1+\frac{5}{y}\right):\frac{y^3-125}{5y-25}$

i označi točan odgovor.

a)

$5y$

b)

$\frac{y}{5}$

c)

$5$

d)

$\frac{1}{y}$

2.

Ako je

$A=\left(3x-2y\right)^2$

$B=5\left(3x-2y\right)$

koliko je:

$\frac{A}{B}$

a)

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

b)

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

c)

$\left(3x-2y\right)^2$

d)

$\frac{1}{5}$

3.

Pojednostavi algebarski razlomak: $\frac{a}{a+b}-\frac{b}{a+b}+\frac{2a}{a+b}-\frac{b}{a+b}$

a)

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

b)

$1$

c)

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

d)

$\frac{a-b}{a+b}$

4.

Ako je:

$A=7a\left(3m-4n\right)$
$B=8b\left(3m-4n\right)$
$C=3m-4n$
Koliko je onda: $\frac{A+B}{C}$

a)

$7a-8b\left(3m-4n\right)$

b)

$3m-4n$

c)

$\frac{-1ab}{3m-4n}$

d)

$7a+8b$

5.

Pojednostavi algebarski razlomak:

$\frac{1}{1-5x}-\frac{20x}{1-25x^2}$

a)

$\frac{-19x}{1-25x^2}$

b)

$\frac{1-15x}{1-25x^2}$

c)

$\frac{21x}{1-5x^{ }}$

d)

$\frac{1}{24x^{ }}$

6.

Pojednostavi algebarski razlomak: $\frac{4a^2}{6ab+9b^2}-\frac{2a}{3b}+\frac{3b}{2a}-\frac{9b^2}{4a^2+6ab}$

a)

$\frac{-12a^2b^2+3b}{4a^2+12b^2}$

b)

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

c)

$\frac{-5ab^2+b}{3a+12b^2}$

d)

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

7.

Pojednostavi algebarski razlomak:
$\frac{3}{x+y}-\frac{x+y}{3}$

a)

$0$

b)

$\frac{3\left(x+y\right)^2}{9+\left(x+y\right)}$

c)

$\frac{9-\left(x+y\right)^2}{3\left(x+y\right)}$

d)

$1$

8.

Ako je:

$A=\ \frac{a}{a+b}$
$B=\frac{a}{a-b}$
koliko je onda: $A+B$

a)

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

b)

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

c)

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

d)

$a$

9.

Pojednostavi algebarski razlomak: $\frac{x^2+y^2}{x^2y^2}-\frac{x+2y}{xy^2}-\frac{y-2x}{x^2y}$

a)

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

b)

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

c)

$1$

d)

$0$

10.

Pojednostavi algebarski razlomak: $\frac{a^{-4}-a^{-2}}{a^{-3}-a^{-2}}\cdot\frac{a^{-1}}{a^{-2}+a^{-1}}$

a)

$\frac{a^{-1}}{a^{-2}+a^{-1}}$

b)

$a^0$

c)

$-1$

d)

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

11.

Pojednostavi algebarski razlomak: $\left(\frac{1}{a}-\frac{1}{b}\right):\left(1-\frac{b}{a}\right)\cdot\left(1-\frac{a-b}{a}\right)$

a)

$-\frac{b}{a}$

b)

$1$

c)

$-\frac{1}{a}$

d)

$0$

Matematika 4. pisana provjera (ALGEBARSKI RAZLOMCI)

Total questions: 11

Worksheet time: 55mins

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