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Rang	Thema	Aufgabe	Formatierte Aufgabe
160501	Bestimme die x- und y-Achsenabschnitte	x^2-9x-24y+20=0	$x^{2} - 9 x - 24 y + 20 = 0$
160502	Vereinfache	Quadratwurzel von (72x^16)/(50x^36)	$\sqrt{\frac{72 x^{16}}{50 x^{36}}}$
160503	v 구하기	-2v+v=3	$- 2 v + v = 3$
160504	Solve the Inequality for w	53w+13<56w+16	$53 w + 13 < 56 w + 16$
160505	x 구하기	\|x+1\|>=3	$\| x + 1 \| \geq 3$
160506	x 구하기	9^x-1=2	$9^{x} - 1 = 2$
160507	Solve the Inequality for v	-42v+33<8v+91	$- 42 v + 33 < 8 v + 91$
160508	Fasse gleichartige Terme zusammen	12r+5+3r-5	$12 r + 5 + 3 r - 5$
160509	Stelle graphisch dar	g(x)=-f(x-2)	$g (x) = - f (x - 2)$
160510	Ermittle den exakten Wert	natürlicher Logarithmus von 1/e	$\ln (\frac{1}{e})$
160511	z 구하기	-17=-25+1/3z	$- 17 = - 25 + \frac{1}{3} z$
160512	Vereinfache	( Quadratwurzel von 18)/( Quadratwurzel von 8)	$\frac{\sqrt{18}}{\sqrt{8}}$
160513	Multipliziere	-1/2*-3	$- \frac{1}{2} \cdot - 3$
160514	x 구하기	4(8^x)=64	$4 (8^{x}) = 64$
160515	Diagramm unter Verwendung einer Wertetabelle	f(x)=4/3(3)^x	$f (x) = \frac{4}{3} {(3)}^{x}$
160516	Vereinfache	9a+8-2a-3-5a	$9 a + 8 - 2 a - 3 - 5 a$
160517	Schreibe in Normalform	12+4y=-4x	$12 + 4 y = - 4 x$
160518	Vereinfache	((-10n^2)^3(4n^5)^2)/((2n^8)^2)	$\frac{{(- 10 n^{2})}^{3} {(4 n^{5})}^{2}}{{(2 n^{8})}^{2}}$
160519	Solve the Inequality for r	3+r/-4<=6	$3 + \frac{r}{- 4} \leq 6$
160520	Faktor	1+14x^2y+49x^4y^2	$1 + 14 x^{2} y + 49 x^{4} y^{2}$
160521	Solve the Inequality for x	(x+2)(x-3)<0	$(x + 2) (x - 3) < 0$
160522	Stelle graphisch dar	-1/2x>=4	$- \frac{1}{2} x \geq 4$
160523	Ermittle a,b,c	9e-7=7e-11	$9 e - 7 = 7 e - 11$
160524	Vereinfache	x^4 Quadratwurzel von x^2	$x^{4} \sqrt{x^{2}}$
160525	Berechne	1/2 Quadratwurzel von 2	$\frac{1}{2} \sqrt{2}$
160526	Ermittle den exakten Wert	cot(arcsin(u))	$\cot (\arcsin (u))$
160527	Vereinfache	(2x+5y-z)+(-6x-4y+7z)	$(2 x + 5 y - z) + (- 6 x - 4 y + 7 z)$
160528	n 구하기	3n-5p+2n=10p	$3 n - 5 p + 2 n = 10 p$
160529	x 구하기	x/5+1/4=x/2	$\frac{x}{5} + \frac{1}{4} = \frac{x}{2}$
160530	x 구하기	-2/3(x+12)+2/3x=-5/4x+2	$- \frac{2}{3} (x + 12) + \frac{2}{3} x = - \frac{5}{4} x + 2$
160531	Stelle graphisch dar	f(x)<=0	$f (x) \leq 0$
160532	Berechne	-\|-7 3/5\|	$- \| - 7 \frac{3}{5} \|$
160533	Solve the Inequality for c	-32c+12<=-66c-16	$- 32 c + 12 \leq - 66 c - 16$
160534	x 구하기	Logarithmus von 5(x+6) = Logarithmus von 8(9x)	$\log (5 (x + 6)) = \log (8 (9 x))$
160535	Stelle graphisch dar	z=x^2+y^2	$z = x^{2} + y^{2}$
160536	x 구하기	(9/8)^(3x+12)=1	${(\frac{9}{8})}^{3 x + 12} = 1$
160537	G 구하기	P=2G+2M	$P = 2 G + 2 M$
160538	Vereinfache	(2v)^2*2v^2	${(2 v)}^{2} \cdot 2 v^{2}$
160539	f 구하기	f+3pi=7pi	$f + 3 π = 7 π$
160540	Solve the Inequality for x	-x^2+4x-3>=0	$- x^{2} + 4 x - 3 \geq 0$
160541	Bestimme den Definitions- und Wertebereich	A	$A$
160542	Multipliziere	2x*3x^2	$2 x \cdot 3 x^{2}$
160543	x 구하기	u=kx+yx	$u = k x + y x$
160544	Vereinfache	(-14+3/2b)-(1+8/2b)	$(- 14 + \frac{3}{2} b) - (1 + \frac{8}{2} b)$
160545	x 구하기	(x-4)/8=(2x-9)/5	$\frac{x - 4}{8} = \frac{2 x - 9}{5}$
160546	Berechne	Quadratwurzel von 2x^2	$\sqrt{2 x^{2}}$
160547	Stelle graphisch dar	f(x)=-2-x if x<=1; -2+2x if x>1	$f (x) = {\begin{cases} - 2 - x & x \leq 1 \\ - 2 + 2 x & x > 1 \end{cases}$
160548	b 구하기	-2(bx-5)=16	$- 2 (b x - 5) = 16$
160549	Stelle graphisch dar	y>=x+4 y>=5-x	$y \geq x + 4$ $y \geq 5 - x$
160550	Stelle graphisch dar	x-y<=0	$x - y \leq 0$
160551	x 구하기	(x+4)/(x-1)=(-x^2+3x+12)/((x+3)(x-1))	$\frac{x + 4}{x - 1} = \frac{- x^{2} + 3 x + 12}{(x + 3) (x - 1)}$
160552	Dividiere	(3x)÷x	$3 x \div x$
160553	Stelle graphisch dar	3y^2=24x	$3 y^{2} = 24 x$
160554	z 구하기	40=19+1/4z	$40 = 19 + \frac{1}{4} z$
160555	Den logarithmischen Ausdruck ausmultiplizieren	Logarithmus von z/3(t-2)	$\log (\frac{z}{3} (t - 2))$
160556	Solve the System of Inequalities	m-2<-8 or m/8>1	$m - 2 < - 8$ or $\frac{m}{8} > 1$
160557	Vereinfache	(4+ Quadratwurzel von z)( Quadratwurzel von 10+ Quadratwurzel von z)	$(4 + \sqrt{z}) (\sqrt{10} + \sqrt{z})$
160558	Stelle graphisch dar	[0,2pi)	$[0, 2 π)$
160559	b 구하기	b-3/16=5/16	$b - \frac{3}{16} = \frac{5}{16}$
160560	Vereinfache	((-4m^3)^2(5m^4)^3)/((-10m^6)^3)	$\frac{{(- 4 m^{3})}^{2} {(5 m^{4})}^{3}}{{(- 10 m^{6})}^{3}}$
160561	Vereinfache	( Quadratwurzel von 22)(5 Quadratwurzel von 2)	$(\sqrt{22}) (5 \sqrt{2})$
160562	x 구하기	9=8/5(x+5)	$9 = \frac{8}{5} (x + 5)$
160563	Solve the System of Inequalities	v+8<3 or -8v<-40	$v + 8 < 3$ or $- 8 v < - 40$
160564	Solve the Inequality for m	6>=m-1	$6 \geq m - 1$
160565	Berechne	f^-1(0)	$f^{- 1} (0)$
160566	Bestimme den Abstand zwischen zwei Punkten	(-6,-5) and (2,0)	$(- 6, - 5)$ and $(2, 0)$
160567	Vereinfache	(2^-7*5^5)^2	${(2^{- 7} \cdot 5^{5})}^{2}$
160568	Vereinfache	-6/4	$\frac{- 6}{4}$
160569	x 구하기	4kx+10kx=7	$4 k x + 10 k x = 7$
160570	Ermittele die Lücken im Graph	f(x)=(x-3)/(2x+7)	$f (x) = \frac{x - 3}{2 x + 7}$
160571	b₂ 구하기	A=1/2(b_1+b_2)h	$A = \frac{1}{2} (b_{1} + b_{2}) h$
160572	p 구하기	(p^2*p^4)^(1/3)+5=13	${(p^{2} \cdot p^{4})}^{\frac{1}{3}} + 5 = 13$
160573	Solve the Inequality for n	-2(5+6n)<6(8-2n)	$- 2 (5 + 6 n) < 6 (8 - 2 n)$
160574	Beschreibe die Transformation	g(x)=f(2x)	$g (x) = f (2 x)$
160575	Subtrahiere	-1/2-1/2	$- \frac{1}{2} - \frac{1}{2}$
160576	x 구하기	2x^2+8x=x^2-16	$2 x^{2} + 8 x = x^{2} - 16$
160577	x 구하기	(x^2-3)/x=2	$\frac{x^{2} - 3}{x} = 2$
160578	Solve the System of Equations	y=3x y=x^2-4	$y = 3 x$ $y = x^{2} - 4$
160579	θ 구하기	sin(theta)=3/5	$\sin (θ) = \frac{3}{5}$
160580	b 구하기	Hb=f+4g	$H b = f + 4 g$
160581	m 구하기	6m-8=6(m+1)+2	$6 m - 8 = 6 (m + 1) + 2$
160582	Solve the Inequality for x	((x+2)(x-3))/((x-2)(x+5))<=0	$\frac{(x + 2) (x - 3)}{(x - 2) (x + 5)} \leq 0$
160583	Stelle graphisch dar	r=sin(theta)	$r = \sin (θ)$
160584	n 구하기	14n+6p-8n=18p	$14 n + 6 p - 8 n = 18 p$
160585	Vereinfache	(3/4 Quadratwurzel von 15)(16 Quadratwurzel von 5)	$(\frac{3}{4} \sqrt{15}) (16 \sqrt{5})$
160586	m 구하기	K=(mv^2)/2	$K = \frac{m v^{2}}{2}$
160587	Solve the System of Inequalities	3x-8<=23 OR -4x+26>=6	$3 x - 8 \leq 23$ OR $- 4 x + 26 \geq 6$
160588	x 구하기	9^6=x^3*9^3	$9^{6} = x^{3} \cdot 9^{3}$
160589	Dividiere	(5x^2+x+7)/x	$\frac{5 x^{2} + x + 7}{x}$
160590	Ermittle den exakten Wert	Quadratwurzel von -4	$\sqrt{- 4}$
160591	Solve the Inequality for x	-12x+13>-16x-7	$- 12 x + 13 > - 16 x - 7$
160592	Solve the Inequality for x	-18<9x	$- 18 < 9 x$
160593	Vereinfache	Quadratwurzel von 5-5 Quadratwurzel von 13-8 Quadratwurzel von 5	$\sqrt{5} - 5 \sqrt{13} - 8 \sqrt{5}$
160594	x 구하기	1+1/(x+3)=-x/(x+3)	$1 + \frac{1}{x + 3} = - \frac{x}{x + 3}$
160595	Stelle graphisch dar	f(x)=-1/4(x-1)^2+4	$f (x) = - \frac{1}{4} {(x - 1)}^{2} + 4$
160596	a 구하기	(b+3f)a=g	$(b + 3 f) a = g$
160597	Vereinfache	((t^2-36)/3)÷((t^2+6t)/(9t))	$\frac{t^{2} - 36}{3} \div \frac{t^{2} + 6 t}{9 t}$
160598	Solve the System of Inequalities	24>-3r>=-9	$24 > - 3 r \geq - 9$
160599	q 구하기	0=4+q	$0 = 4 + q$
160600	Solve the Inequality for x	3(x-2)<2(x+9)	$3 (x - 2) < 2 (x + 9)$