Matura (sierpień 2021, poziom podstawowy, poprawka)

$27^{9}$27^{9}

$9^{-2}$9^{-2}

$3^{10}$3^{10}

$3^{-1}$3^{-1}

$\displaystyle \log_6 \frac{9}{4}$\displaystyle \log_6 \frac{9}{4}

$1$1

$2$2

$\displaystyle \log_6 \frac{81}{2}$\displaystyle \log_6 \frac{81}{2}

$125\%$125\% liczby $x$x

$120\%$120\% liczby $x$x

$25\%$25\% liczby $x$x

$20\%$20\% liczby $x$x

$9x^2+48xy+64y^2$9x^2+48xy+64y^2

$9x^2+64y^2$9x^2+64y^2

$3x^2+48xy+8y^2$3x^2+48xy+8y^2

$3x^2+8y^2$3x^2+8y^2

$x^2+4=0$x^2+4=0

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

$\displaystyle \frac{x}{x+2} =0$\displaystyle \frac{x}{x+2} =0

$x^2\left(x+2\right)+2\left(x+2\right)=0$x^2\left(x+2\right)+2\left(x+2\right)=0

$\left(-\infty,1\right]$\left(-\infty,1\right]

$\left[1,+\infty\right)$\left[1,+\infty\right)

$\left(-\infty,7\right]$\left(-\infty,7\right]

$\left[7,+\infty\right)$\left[7,+\infty\right)

$g(x)=-2x+2$g(x)=-2x+2

$g(x)=-2x$g(x)=-2x

$g(x)=-2x+6$g(x)=-2x+6

$g(x)=-2x+8$g(x)=-2x+8

$a=-4$a=-4

$a=1$a=1

$a=4$a=4

$a=5$a=5

$y=x-5$y=x-5

$y=-x-1$y=-x-1

$y=-x+5$y=-x+5

$y=x+5$y=x+5

$\left(-3\right)$\left(-3\right)

$\left(-1\right)$\left(-1\right)

$1$1

$5$5

$\left(-\infty,-2\right]$\left(-\infty,-2\right]

$\left[2,+\infty\right)$\left[2,+\infty\right)

$\left[-4,+\infty\right)$\left[-4,+\infty\right)

$\left(-\infty,4\right]$\left(-\infty,4\right]

$f(x)=x^2-6x+11$f(x)=x^2-6x+11

$f(x)=-x^2+x+2$f(x)=-x^2+x+2

$f(x)=x^2-6x-7$f(x)=x^2-6x-7

$f(x)=-x^2+6x-7$f(x)=-x^2+6x-7

$a_{24}-a_6=18$a_{24}-a_6=18

$a_{24}-a_6=20$a_{24}-a_6=20

$a_{24}-a_6=36$a_{24}-a_6=36

$a_{24}-a_6=38$a_{24}-a_6=38

$\displaystyle \frac{2+998}{2} \cdot 499$\displaystyle \frac{2+998}{2} \cdot 499

$\displaystyle \frac{2+1000}{2} \cdot 500$\displaystyle \frac{2+1000}{2} \cdot 500

$\displaystyle \frac{2+1001}{2} \cdot 500$\displaystyle \frac{2+1001}{2} \cdot 500

$\displaystyle \frac{1+1001}{2} \cdot 1001$\displaystyle \frac{1+1001}{2} \cdot 1001

$x=16$x=16

$x=10$x=10

$x=6$x=6

$x=9$x=9

$\displaystyle \cos\alpha= \frac{576}{625}$\displaystyle \cos\alpha= \frac{576}{625}

$\displaystyle \cos\alpha= \frac{24}{25}$\displaystyle \cos\alpha= \frac{24}{25}

$\displaystyle \cos\alpha=-\sqrt{ \frac{24}{25} }$\displaystyle \cos\alpha=-\sqrt{ \frac{24}{25} }

$\displaystyle \cos\alpha= \frac{18}{25}$\displaystyle \cos\alpha= \frac{18}{25}

$10^\circ$10^\circ

$20^\circ$20^\circ

$30^\circ$30^\circ

$40^\circ$40^\circ

$20^\circ$20^\circ

$30^\circ$30^\circ

$40^\circ$40^\circ

$50^\circ$50^\circ

$45^\circ$45^\circ

$55^\circ$55^\circ

$70^\circ$70^\circ

$85^\circ$85^\circ

$158$158

$196$196

$336$336

$490$490

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

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

$\displaystyle \frac{2}{3}$\displaystyle \frac{2}{3}

$\displaystyle \frac{3}{2}$\displaystyle \frac{3}{2}

$\displaystyle \frac{7}{4}$\displaystyle \frac{7}{4}

$\displaystyle \left(- \frac{7}{4} \right)$\displaystyle \left(- \frac{7}{4} \right)

$\displaystyle \left(- \frac{4}{7} \right)$\displaystyle \left(- \frac{4}{7} \right)

$\displaystyle \frac{4}{7}$\displaystyle \frac{4}{7}

$\displaystyle \frac{\sqrt{2}}{2}$\displaystyle \frac{\sqrt{2}}{2}

$\displaystyle \frac{5}{2}$\displaystyle \frac{5}{2}

$\displaystyle \frac{5\sqrt{2}}{2}$\displaystyle \frac{5\sqrt{2}}{2}

$5$5

$24+2\sqrt{3}$24+2\sqrt{3}

$24+6\sqrt{3}$24+6\sqrt{3}

$24+12\sqrt{3}$24+12\sqrt{3}

$24+24\sqrt{3}$24+24\sqrt{3}

$24\sqrt{3}$24\sqrt{3}

$72$72

$54\sqrt{2}$54\sqrt{2}

$648\sqrt{3}$648\sqrt{3}

$9 \cdot 2 \cdot 10^{3}$9 \cdot 2 \cdot 10^{3}

$9 \cdot 5 \cdot 10^{3}$9 \cdot 5 \cdot 10^{3}

$5 \cdot 10^{4}$5 \cdot 10^{4}

$4 \cdot 10^{5}$4 \cdot 10^{5}

$\displaystyle \frac{1}{4}$\displaystyle \frac{1}{4}

$\displaystyle \frac{1}{3}$\displaystyle \frac{1}{3}

$\displaystyle \frac{3}{7}$\displaystyle \frac{3}{7}

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

$\left(-35\right)$\left(-35\right)

$0$0

$0{,}35$0{,}35

$35$35