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Rang	Thema	Aufgabe	Formatierte Aufgabe
194601	h 구하기	A=1/2h(b+c) ; solve for h	$A = \frac{1}{2} h (b + c)$ ; solve for $h$
194602	x 구하기	4( Kubikwurzel von x-2)+1=9	$4 (\sqrt[3]{x - 2}) + 1 = 9$
194603	Stelle graphisch dar	(x+6)(x+1)>=0	$(x + 6) (x + 1) \geq 0$
194604	Vereinfache	(x^2+3)^2-(x^2-1)^2	${(x^{2} + 3)}^{2} - {(x^{2} - 1)}^{2}$
194605	Bestimme das Randverhalten	P(x)=-4(x+2)^2x^3(8-x)(x^2+5)	$P (x) = - 4 {(x + 2)}^{2} x^{3} (8 - x) (x^{2} + 5)$
194606	Vereinfache	(3y^(2/3))^3(2y^2)^2	${(3 y^{\frac{2}{3}})}^{3} {(2 y^{2})}^{2}$
194607	n 구하기	logarithmische Basis 2 von 5n+8 = logarithmische Basis 2 von -3n	$\log_{2} (5 n + 8) = \log_{2} (- 3 n)$
194608	h 구하기	(h+9)/5=(h-1)/3	$\frac{h + 9}{5} = \frac{h - 1}{3}$
194609	Dividiere unter Anwendung der schriftlichen Polynomdivision	(x^5+2x^3-x-8)/(x^2-2x+1)	$\frac{x^{5} + 2 x^{3} - x - 8}{x^{2} - 2 x + 1}$
194610	x 구하기	4x=3x	$4 x = 3 x$
194611	x 구하기	5-4(-x-3/2)=5(-6x-6/5)+10x	$5 - 4 (- x - \frac{3}{2}) = 5 (- 6 x - \frac{6}{5}) + 10 x$
194612	Solve the System of Equations	-4/5x+7y=-1/5 1/2x-1/3y=-12	$- \frac{4}{5} x + 7 y = - \frac{1}{5}$ $\frac{1}{2} x - \frac{1}{3} y = - 12$
194613	Solve the Absolute Value Inequality for x	\|x\|+6=3	$\| x \| + 6 = 3$
194614	Vereinfache	4m+((6m-3n)-(9n-5m)+(8m-2n))	$4 m + ((6 m - 3 n) - (9 n - 5 m) + (8 m - 2 n))$
194615	x 구하기	2/3=(x+7)/(3x)	$\frac{2}{3} = \frac{x + 7}{3 x}$
194616	Faktor	x^4-4x^3-x^2+16x-12	$x^{4} - 4 x^{3} - x^{2} + 16 x - 12$
194617	Vereinfache	(3x-5)^2+(5x+2)^2	${(3 x - 5)}^{2} + {(5 x + 2)}^{2}$
194618	Ermittle den exakten Wert	(7-2+4)-(2-5)	$(7 - 2 + 4) - (2 - 5)$
194619	w 구하기	A=lw for w	$A = l w$ for $w$
194620	Stelle graphisch dar	y=(3x-1)^2	$y = {(3 x - 1)}^{2}$
194621	x 구하기	(-x)/7=7/(-x)	$\frac{- x}{7} = \frac{7}{- x}$
194622	t 구하기	t=2-2(2t-3(1-t))	$t = 2 - 2 (2 t - 3 (1 - t))$
194623	Schreibe in Normalform	x^2+y^2-2/3x-3y+2=0	$x^{2} + y^{2} - \frac{2}{3} x - 3 y + 2 = 0$
194624	B 구하기	S=Ph+2B	$S = P h + 2 B$
194625	Solve the Absolute Value Inequality for x	\|4x-8\|-2=2x	$\| 4 x - 8 \| - 2 = 2 x$
194626	Ermittle den Grad, den Leitterm und den Leitkoeffizienten	-9x+x^2+1/9x^4-3	$- 9 x + x^{2} + \frac{1}{9} x^{4} - 3$
194627	Mache den Zähler rational	( Quadratwurzel von a- Quadratwurzel von b)/(a^2-b^2)	$\frac{\sqrt{a} - \sqrt{b}}{a^{2} - b^{2}}$
194628	Vereinfache	(4-x)/(x^2-3x)	$\frac{4 - x}{x^{2} - 3 x}$
194629	x 구하기	(x+1)^2-2=2/x	${(x + 1)}^{2} - 2 = \frac{2}{x}$
194630	Solve the Inequality for x	x^2<=4x+12	$x^{2} \leq 4 x + 12$
194631	Vereinfache	(2x-3xy)(xy^2+2xy-3x)	$(2 x - 3 x y) (x y^{2} + 2 x y - 3 x)$
194632	x 구하기	11x=8x-3(5-2x)	$11 x = 8 x - 3 (5 - 2 x)$
194633	Berechne	8z-5z(4z-2(3z-6))-7z(-5z+3)	$8 z - 5 z (4 z - 2 (3 z - 6)) - 7 z (- 5 z + 3)$
194634	Vereinfache	15(f+1/3)	$15 (f + \frac{1}{3})$
194635	x 구하기	1/3x+5/6x-2=-x	$\frac{1}{3} x + \frac{5}{6} x - 2 = - x$
194636	Bestimme die x- und y-Achsenabschnitte	(-x^2+5x)/(2x^2)	$\frac{- x^{2} + 5 x}{2 x^{2}}$
194637	Finde alle komplexen Lösungen	-2cos(x)^2=3cos(x)+1	$- 2 \cos^{2} (x) = 3 \cos (x) + 1$
194638	Dividiere	(5/2)÷(-4/5)	$\frac{5}{2} \div (- \frac{4}{5})$
194639	Vereinfache	(z^2+11z+30)/(z^2+z-20)-(z^2+2z-24)/(z^2+9z+18)	$\frac{z^{2} + 11 z + 30}{z^{2} + z - 20} - \frac{z^{2} + 2 z - 24}{z^{2} + 9 z + 18}$
194640	Durch Faktorisierung lösen	Kubikwurzel aus 64=4	$\sqrt[3]{64} = 4$
194641	Solve the Inequality for x	x/3>=1-x/9	$\frac{x}{3} \geq 1 - \frac{x}{9}$
194642	Solve the System of Equations	x+3y=5 x+4y=6	$x + 3 y = 5$ $x + 4 y = 6$
194643	Vereinfache	3/(a-5)+(a+2)/a	$\frac{3}{a - 5} + \frac{a + 2}{a}$
194644	Solve the System of Inequalities	-2<8-2x<=-1	$- 2 < 8 - 2 x \leq - 1$
194645	x 구하기	(x-4)/5=(x-2)/3-(x-3)/4	$\frac{x - 4}{5} = \frac{x - 2}{3} - \frac{(x - 3)}{4}$
194646	Dividiere	(-10+14i)/(-11+11i)	$\frac{- 10 + 14 i}{- 11 + 11 i}$
194647	Bestimme das Randverhalten	f(x)=432x+4x^4-44x^3-864+72x^2	$f (x) = 432 x + 4 x^{4} - 44 x^{3} - 864 + 72 x^{2}$
194648	Multipliziere	x*x^-1	$x \cdot x^{- 1}$
194649	Finde alle komplexen Lösungen	(x+4)^2-2=7	${(x + 4)}^{2} - 2 = 7$
194650	Vereinfache	x Quadratwurzel von 8	$x \sqrt{8}$
194651	x 구하기	e^(x/2)=4	$e^{\frac{x}{2}} = 4$
194652	x 구하기	-1-(3x-1/2)=-6/5(x-1)+5x	$- 1 - (3 x - \frac{1}{2}) = - \frac{6}{5} (x - 1) + 5 x$
194653	m 구하기	-3\|9m+2\|+10=10	$- 3 \| 9 m + 2 \| + 10 = 10$
194654	x 구하기	x^5-5x^3+4x=0	$x^{5} - 5 x^{3} + 4 x = 0$
194655	Solve the System of Inequalities	11<5+6k<35	$11 < 5 + 6 k < 35$
194656	x 구하기	Quadratwurzel von x=x^3	$\sqrt{x} = x^{3}$
194657	Vereinfache	(9(x+2)(x+3))/(15(x+3)(x-5))	$\frac{9 (x + 2) (x + 3)}{15 (x + 3) (x - 5)}$
194658	Ermittele die Lücken im Graph	f(x)=(x^2+2x)/(-4x+8)	$f (x) = \frac{x^{2} + 2 x}{- 4 x + 8}$
194659	Vereinfache	-3x^2(6xy-2x^3y^2z)	$- 3 x^{2} (6 x y - 2 x^{3} y^{2} z)$
194660	Vereinfache	-6+3m+2-m+8	$- 6 + 3 m + 2 - m + 8$
194661	x 구하기	5/4x+1/2=2x-1/2	$\frac{5}{4} x + \frac{1}{2} = 2 x - \frac{1}{2}$
194662	Multipliziere	((x^2-2x-24)/(x^2-5x+6))*((x-3)/(x-6))	$(\frac{x^{2} - 2 x - 24}{x^{2} - 5 x + 6}) \cdot (\frac{x - 3}{x - 6})$
194663	Solve the System of Inequalities	-3b-5<-8 or b-4<=0	$- 3 b - 5 < - 8$ or $b - 4 \leq 0$
194664	Stelle graphisch dar	y=1/2sin(x-pi)	$y = \frac{1}{2} \sin (x - π)$
194665	Berechne	Quadratwurzel von 1-0	$\sqrt{1 - 0}$
194666	Durch Faktorisierung lösen	(x+2)(x-2)-3x=0	$(x + 2) (x - 2) - 3 x = 0$
194667	x 구하기	4^x+2^x=6	$4^{x} + 2^{x} = 6$
194668	Berechne	1/(cos(0))	$\frac{1}{\cos (0)}$
194669	x 구하기	6+4/x=-5	$6 + \frac{4}{x} = - 5$
194670	Vereinfache	2(18-(5+3^2)÷7)	$2 (18 - (5 + 3^{2}) \div 7)$
194671	Berechne	45% of 80	$45 %$ of $80$
194672	x 구하기	-3/2-(3/2x+1)=3	$- \frac{3}{2} - (\frac{3}{2} x + 1) = 3$
194673	Stelle graphisch dar	x>-3 and y>=-x	$x > - 3$ and $y \geq - x$
194674	Stelle graphisch dar	a(x) = square root of x+1-4	$a (x) = \sqrt{x + 1} - 4$
194675	Berechne	5y+3>-7y+13	$5 y + 3 > - 7 y + 13$
194676	x 구하기	7/(x+7)+(3x)/(x-7)=(2x+7)/(x-7)	$\frac{7}{x + 7} + \frac{3 x}{x - 7} = \frac{2 x + 7}{x - 7}$
194677	Multipliziere	(a+b-c)(a-b+c)	$(a + b - c) (a - b + c)$
194678	Berechne	pi*1	$π \cdot 1$
194679	Bestimme, ob linear	2x+3y=9xy	$2 x + 3 y = 9 x y$
194680	x 구하기	vierte Wurzel von 5x-4=1	$\sqrt[4]{5 x} - 4 = 1$
194681	x 구하기	(x+4)/(x^2-1)-5=1/(x-1)	$\frac{x + 4}{x^{2} - 1} - 5 = \frac{1}{x - 1}$
194682	x 구하기	-1/2x-1/2(9x+4)+7/4=-(-x+1)	$- \frac{1}{2} x - \frac{1}{2} (9 x + 4) + \frac{7}{4} = - (- x + 1)$
194683	Vereinfache	9/16p^7*(-1 1/3p^4)	$\frac{9}{16} p^{7} \cdot (- 1 \frac{1}{3} p^{4})$
194684	Vereinfache	10/( Quadratwurzel von 50)	$\frac{10}{\sqrt{50}}$
194685	h 구하기	6h+4=-2+5h	$6 h + 4 = - 2 + 5 h$
194686	Vereinfache	((x^-3x^2)/(x^3x^-2))^2	${(\frac{x^{- 3} x^{2}}{x^{3} x^{- 2}})}^{2}$
194687	Stelle graphisch dar	-2(x-3)^2(x^2-1)	$- 2 {(x - 3)}^{2} (x^{2} - 1)$
194688	Solve the Inequality for x	2/(x+1)>=1/(x-2)	$\frac{2}{x + 1} \geq \frac{1}{x - 2}$
194689	Stelle graphisch dar	graph y=5	graph $y = 5$
194690	f(g(x)) 구하기	f(x)=5x-9 and g(x)=(x+5)/9	$f (x) = 5 x - 9$ and $g (x) = \frac{x + 5}{9}$
194691	r 구하기	(-2,r) , (6,7) , m=1/2	$(- 2, r)$ , $(6, 7)$ , $m = \frac{1}{2}$
194692	Vereinfache	6/( Quadratwurzel von 3- Quadratwurzel von 2)	$\frac{6}{\sqrt{3} - \sqrt{2}}$
194693	Bestimme das kgV	12 and 16	$12$ and $16$
194694	Vereinfache	(2 Quadratwurzel von 27)*(3 Quadratwurzel von 32)	$(2 \sqrt{27}) \cdot (3 \sqrt{32})$
194695	Vereinfache	4x+4y^2+y^2+9+10+x+3x	$4 x + 4 y^{2} + y^{2} + 9 + 10 + x + 3 x$
194696	Wandle in Intervallschreibweise um	x<=0 or x>=10	$x \leq 0$ or $x \geq 10$
194697	Bestimme die x- und y-Achsenabschnitte	m(x)=-1/10(x+3)(x-3)(x+1)^3	$m (x) = - \frac{1}{10} (x + 3) (x - 3) {(x + 1)}^{3}$
194698	Berechne	( Quadratwurzel von 9)^2+5	${(\sqrt{9})}^{2} + 5$
194699	Vereinfache	(x+5)/(x+10)-(x+3)/(x+10)	$\frac{x + 5}{x + 10} - \frac{x + 3}{x + 10}$
194700	Faktor	x^3-x^2-x+1=0	$x^{3} - x^{2} - x + 1 = 0$