Free Printable Priprema za ispravak - Potencije i algebarski izrazi

1.

Koliko je $a^{-2}\cdot a^6$ ?

a)

$a^6$

b)

$a^{-4}$

c)

$a^4$

d)

$a^{-12}$

2.

Koliko je $a^{-2}:a^{-7}$ ?

a)

$a^{-9}$

b)

$a^{-5}$

c)

$a^9$

d)

$a^5$

3.

Koliko je $3a^5\cdot\left(-4a^{-6}\right)$ ?

a)

$-1a^{-11}$

b)

$12a^{-1}$

c)

$-12a^{-1}$

d)

$-7a^{-11}$

4.

Koliko je $\frac{3a^5}{15a^{-8}}$ ?

a)

$5a^{-13}$

b)

$\frac{1}{5}a^{13}$

c)

$5a^{13}$

d)

$\frac{1}{5}a^{-13}$

5.

Koliko je (x²)^-3?

a)

x^-5

b)

x^-6

c)

x^-1

d)

x⁶

6.

Koliko je $\left(a^6b^{-2}\right)^{-3}$ ?

a)

$a^{18}b^6$

b)

$a^{-18}b^6$

c)

$a^{-18}b^{-6}$

d)

$a^{18}b^{-6}$

7.

Zbroji: $5x^4-12x^5+10x^5-7x^4.$

a)

$-2x^4-2x^5$

b)

$-8x^4+3x^5$

c)

$4x^9$

d)

$12x^4-22x^5$

8.

Izračunaj: $\left(x-7y\right)^2$ .

a)

$x^2+14xy+49y^2$

b)

$x^2-7xy+49y^2$

c)

$x^2-14xy+7y^2$

d)

$x^2-14xy+49y^2$

9.

Razlika kvadrata: $100x^2-81y^2$

a)

$\left(10x-9y\right)^2$

b)

$\left(10x+9y\right)\left(10x-9y\right)$

c)

$19xy$

d)

$19x^2y^2$

10.

Koliko je $\left(2a-3b\right)\left(2a+3b\right)?$

a)

$2a^2-3b^2$

b)

$4a^2+9b^2$

c)

$4a^2-9b^2$

d)

$-5a^2b^2$

11.

$a\cdot a\cdot\left(-a\right)\cdot\left(-a\right)\cdot a\cdot\left(-a\right)\cdot a\cdot a$

a)

$-a^7$

b)

$a^7$

c)

$-a^8$

d)

$a^8$

12.

$0.00056289\ =\$

a)

$5.6289\cdot10^{-4}$

b)

$5.628\cdot10^{-4}$

c)

$5.6289\cdot10^{-5}$

d)

$5.629\cdot10^{-4}$

13.

Primjeni pravilo kvadrata binoma.

\left(2x+3y\right)^2=

a)

$4x^{2\ }+12xy+9y^2$

b)

$4x^{2\ }-12xy+9y^2$

c)

$2x^{2\ }+6xy+3y^2$

d)

$2x^{2\ }-6xy+3y^2$

14.

Primjeni pravilo kvadrata binoma.

\left(8a-5y\right)^2=

a)

$8a^2-5y^2$

b)

$64a^2+25y^2$

c)

$64a^{2\ }-80ay+25y^2$

d)

$64a^{2\ }+80ay-25y^2$

15.

Primjeni pravilo kvadrata binoma.

4x^2+20x+25=

a)

$\left(2x+5\right)^2$

b)

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

c)

$\left(2x+5\right)\left(2x-5\right)$

d)

$\left(4x+25\right)^2$

16.

Izračunaj

\left(\frac{3}{4}a^6b^4\right):18a^3b=

a)

$\frac{1}{24}a^4b^3$

b)

$\frac{1}{6}a^2b^{ }$

c)

$\frac{1}{9}a^3b^3$

d)

$\frac{1}{24}a^3b^3$

17.

Pomnoži.

2a\left(4b+5ac\right)

a)

$8ab+10ac$

b)

$4ab+5ac$

c)

$8ab+10a^2c$

d)

$4ab+10a^2c$

18.

Rastavi na faktore.

24a^2b^3+4a^4b^2

a)

$2a^2b^2\left(12b+a^2\right)$

b)

$4a^2b^2\left(6b+a^2\right)$

c)

$4a^2b^2\left(4b+a^3\right)$

d)

$4a^2b^2\left(6b-a^2\right)$

19.

Zbroji razlomke

\frac{2ab}{3c}+\frac{4d}{6h}

a)

$\frac{12abh+12cd}{18ch}$

b)

$\frac{8abh+8cd}{6ch}$

c)

$\frac{12abh-8cd}{9ch}$

d)

$\frac{2ab+4d}{3c+6h}$

20.

Pomnoži razlomke.

\frac{4ac}{3bd}\cdot\frac{7a^2c}{15bd^3}

a)

$\frac{28a^2c}{45bd^3}$

b)

$\frac{28a^3c^2}{15b^2d^4}$

c)

$\frac{28a^3c^2}{45b^2d^4}$

d)

$\frac{28ac^{ }}{45bd^{ }}$

21.

Čemu je jednak izraz?

\left(2x-3y\right)\left(2x+3y\right)

a)

$2x^2-3y^2$

b)

$4x^2-9y^2$

c)

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

d)

$4x^2-12xy+9y^2$

22.

Koji izraz treba pisati unutar zagradi?

81p^2-49q^2=\left(...\right)\left(9p-7q\right)

a)

$9p+7q$

b)

$9p-7q$

c)

$7q-9p$

d)

$81p-49q$

23.

Što najviše možemo izlučiti ispred zagrade iz izraza

$16x^2-15x$

a)

3x

b)

x

c)

5x

d)

16x

24.

Faktoriziraj grupiranjem $4p^3+8p^2+3p+6$ .

a)

$\left(2p^2+3\right)(p+2)$

b)

$\left(4p^2+3\right)(p+2)$

c)

$\left(2p^2+6\right)(p+4)$

d)

$\left(4p^2+8p\right)(3p+6)$

25.

Riješite zadatak: $\frac{3ab+b^2}{b^3-b}:\frac{9a^2-b^2}{2b+2}$

a)

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

b)

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

c)

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

d)

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

26.

Riješite zadatak: $\frac{x^2-4x}{3x}\cdot\frac{1}{4-x}$

a)

$\frac{1}{3x}$

b)

3

c)

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

d)

$-\frac{1}{3}$

27.

Riješite zadatak: $\frac{y^2-25}{4x^2-81}:\frac{y+5}{2x-9}$

a)

$\frac{y+5}{2x+9}$

b)

$\frac{2x+9}{y-5}$

c)

$\frac{y-5}{2x+9}$

d)

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

28.

Rastavi na faktore: $4a^2b-6ab^2$ .

(rezultat upiši bez korištenja razmaka i znakova za množenje)

(a)

29.

Rastavi na faktore: $a\left(x-1\right)-3\left(x-1\right)$ .

(rezultat upiši bez korištenja razmaka i znakova za množenje)

(a)

Priprema za ispravak - Potencije i algebarski izrazi

Total questions: 29

Worksheet time: 15mins

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