Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10801	Expand Using the Binomial Theorem	(r-3t)^4	${(r - 3 t)}^{4}$
10802	Graph	y=x^2-4x+7	$y = x^{2} - 4 x + 7$
10803	Expand Using the Binomial Theorem	(s+3v)^5	${(s + 3 v)}^{5}$
10804	Graph	y=x^2-2x-5	$y = x^{2} - 2 x - 5$
10805	Expand the Logarithmic Expression	log of 10000x	$\log (10000 x)$
10806	Add	3b^2( cube root of 54a)+3( cube root of 2ab^6)	$3 b^{2} (\sqrt[3]{54 a}) + 3 (\sqrt[3]{2 a b^{6}})$
10807	Add	(4v^3-3v^2+2v)+(3v^3+6v^2-9v)	$(4 v^{3} - 3 v^{2} + 2 v) + (3 v^{3} + 6 v^{2} - 9 v)$
10808	Add	(-4t^2-9tv-16v^2)+(16t^2-9tv+4v^2)	$(- 4 t^{2} - 9 t v - 16 v^{2}) + (16 t^{2} - 9 t v + 4 v^{2})$
10809	Find the Roots (Zeros)	f(x)=-4x^3-4x^2+8x+5	$f (x) = - 4 x^{3} - 4 x^{2} + 8 x + 5$
10810	Find the Slope	y=2x-6	$y = 2 x - 6$
10811	Find the Roots (Zeros)	g(r)=r^2-6r-55	$g (r) = r^{2} - 6 r - 55$
10812	Write in Standard Form	(-2-2i)+(10-4i)	$(- 2 - 2 i) + (10 - 4 i)$
10813	Combine	square root of 48n^3+ square root of 9n- square root of 3n	$\sqrt{48 n^{3}} + \sqrt{9 n} - \sqrt{3 n}$
10814	Find the x and y Intercepts	x^2+y^2-6x-8y-11=0	$x^{2} + y^{2} - 6 x - 8 y - 11 = 0$
10815	Find the Slope	2x-y=4	$2 x - y = 4$
10816	Solve Using the Square Root Property	5x^2=10	$5 x^{2} = 10$
10817	Solve Using the Square Root Property	5x^2-75=0	$5 x^{2} - 75 = 0$
10818	Solve Using the Square Root Property	x^2-3=0	$x^{2} - 3 = 0$
10819	Find the Roots (Zeros)	x^3-5x^2+16x-80	$x^{3} - 5 x^{2} + 16 x - 80$
10820	Solve Using the Square Root Property	x^2-7=0	$x^{2} - 7 = 0$
10821	Find the Inverse	y = log of x-5	$y = \log (x - 5)$
10822	Solve Using the Square Root Property	x^2=96	$x^{2} = 96$
10823	Solve Using the Square Root Property	x^2=8x	$x^{2} = 8 x$
10824	Convert to Interval Notation	\|5x+15\|<=5	$\| 5 x + 15 \| \leq 5$
10825	Solve Using the Square Root Property	x^2=-144	$x^{2} = - 144$
10826	Convert to Interval Notation	\|-5x+10\|<=10	$\| - 5 x + 10 \| \leq 10$
10827	Solve Using the Square Root Property	x^2+81=0	$x^{2} + 81 = 0$
10828	Convert to Interval Notation	x-48/x<-8	$x - \frac{48}{x} < - 8$
10829	Solve Using the Square Root Property	(x-4)^2=16	${(x - 4)}^{2} = 16$
10830	Solve Using the Square Root Property	(x-5)^2=12	${(x - 5)}^{2} = 12$
10831	Solve Using the Square Root Property	(x-9)^2=49	${(x - 9)}^{2} = 49$
10832	Find the x and y Intercepts	f(x)=3x^2+11x+5	$f (x) = 3 x^{2} + 11 x + 5$
10833	Solve Using the Square Root Property	t^2=245	$t^{2} = 245$
10834	Solve Using the Square Root Property	(x+9)^2=36	${(x + 9)}^{2} = 36$
10835	Solve Using the Square Root Property	(x-2)^2=18	${(x - 2)}^{2} = 18$
10836	Find the Vertex Form	f(x)=-5x^2-60x-181	$f (x) = - 5 x^{2} - 60 x - 181$
10837	Solve Using the Square Root Property	(5x-2)^2=25	${(5 x - 2)}^{2} = 25$
10838	Solve Using the Quadratic Formula	-7x+8-10x^2=7	$- 7 x + 8 - 10 x^{2} = 7$
10839	Graph	y=-x^2-1	$y = - x^{2} - 1$
10840	Graph	f(x)<0	$f (x) < 0$
10841	Write as a Single Logarithm	log of z- log of y	$\log (z) - \log (y)$
10842	Graph	3x-2y=4	$3 x - 2 y = 4$
10843	Identify the Sequence	3 , 6 , 12	$3$ , $6$ , $12$
10844	Graph	4x^2+16y^2=64	$4 x^{2} + 16 y^{2} = 64$
10845	Divide Using Synthetic Division	(x^4+11x^3+29x^2-8x-48)÷(x+4)	$(x^{4} + 11 x^{3} + 29 x^{2} - 8 x - 48) \div (x + 4)$
10846	Graph	4x^2-9y^2=36	$4 x^{2} - 9 y^{2} = 36$
10847	Find the Maximum/Minimum Value	f(x)=-2x^2+8x-1	$f (x) = - 2 x^{2} + 8 x - 1$
10848	Graph	25x^2+4y^2=100	$25 x^{2} + 4 y^{2} = 100$
10849	Rationalize the Denominator	( square root of 2bc)/( square root of 3)	$\frac{\sqrt{2 b c}}{\sqrt{3}}$
10850	Graph	3x+2y=4	$3 x + 2 y = 4$
10851	Convert to a Percentage	0.524	$0.524$
10852	Graph	y^2=-8x	$y^{2} = - 8 x$
10853	Determine if Rational	pi/2	$\frac{π}{2}$
10854	Find the Axis of Symmetry	y=x^2-2x-3	$y = x^{2} - 2 x - 3$
10855	Find the Axis of Symmetry	f(x)=x^2+2x-3	$f (x) = x^{2} + 2 x - 3$
10856	Find the Asymptotes	f(x)=5/(3x(x+1)(x-7))	$f (x) = \frac{5}{3 x (x + 1) (x - 7)}$
10857	Find the Perfect Square Trinomial	x^2-24x+c	$x^{2} - 24 x + c$
10858	Subtract	180-54	$180 - 54$
10859	Find the Perfect Square Trinomial	x^2-12x+c	$x^{2} - 12 x + c$
10860	Subtract	180-144	$180 - 144$
10861	Find the Perfect Square Trinomial	x^2+21x	$x^{2} + 21 x$
10862	Write as a Function of r	A=pir^2	$A = π r^{2}$
10863	Add	3/(x+7)+4/(x-8)	$\frac{3}{x + 7} + \frac{4}{x - 8}$
10864	Determine if True	log of 0.1=-1	$\log (0.1) = - 1$
10865	Graph	y = cube root of x	$y = \sqrt[3]{x}$
10866	Find Where Undefined/Discontinuous	y=(3x-1)/(x^2-4x+4)	$y = \frac{3 x - 1}{x^{2} - 4 x + 4}$
10867	Expand the Trigonometric Expression	-3a(a^2-10a+25)	$- 3 a (a^{2} - 10 a + 25)$
10868	Expand the Trigonometric Expression	c^2(c^2-10c+25)	$c^{2} (c^{2} - 10 c + 25)$
10869	Simplify	1/(1/x)	$\frac{1}{\frac{1}{x}}$
10870	Simplify	( square root of 6)/( square root of 54)	$\frac{\sqrt{6}}{\sqrt{54}}$
10871	Solve by Completing the Square	x^2+8x-1=19	$x^{2} + 8 x - 1 = 19$
10872	Simplify	square root of 252x^8y^19	$\sqrt{252 x^{8} y^{19}}$
10873	Solve by Completing the Square	x^2+10x=14	$x^{2} + 10 x = 14$
10874	Write in Standard Form	y=-15/4x-15/4	$y = - \frac{15}{4} x - \frac{15}{4}$
10875	Solve for A	r = square root of A/(4p)	$r = \sqrt{\frac{A}{4 p}}$
10876	Find the Roots (Zeros)	y=(x+3)(x-4)(x-5)	$y = (x + 3) (x - 4) (x - 5)$
10877	Solve for r	6r+7=13+7r	$6 r + 7 = 13 + 7 r$
10878	Multiply	(x+2)(2x^2+9x+8)	$(x + 2) (2 x^{2} + 9 x + 8)$
10879	Solve for x	square root of 10-3x=x	$\sqrt{10 - 3 x} = x$
10880	Multiply	(4x-4x^2)/(x^2-9x+8)*(x^2-5x-24)/(-4x)	$\frac{4 x - 4 x^{2}}{x^{2} - 9 x + 8} \cdot \frac{x^{2} - 5 x - 24}{- 4 x}$
10881	Solve for x	(4/3)^x=(27/64)	${(\frac{4}{3})}^{x} = (\frac{27}{64})$
10882	Multiply	(4n+1)(2n+6)	$(4 n + 1) (2 n + 6)$
10883	Solve for x	x^2=24	$x^{2} = 24$
10884	Multiply	3x^2((3x-6)/x)	$3 x^{2} (\frac{3 x - 6}{x})$
10885	Solve for x	x-5 square root of x+6=0	$x - 5 \sqrt{x} + 6 = 0$
10886	Multiply	(15ab)/4*8/(9a^2b^2)	$\frac{15 a b}{4} \cdot \frac{8}{9 a^{2} b^{2}}$
10887	Multiply	(3x^2-2x)(2x^2+3x-1)	$(3 x^{2} - 2 x) (2 x^{2} + 3 x - 1)$
10888	Solve for x	x^6-63x^3-64=0	$x^{6} - 63 x^{3} - 64 = 0$
10889	Multiply	3.5*2	$3.5 \cdot 2$
10890	Find the Median	88 , 89 , 65 , 62 , 83 , 63 , 84 , 63 , 74 , 64 , 71 , 82 , 66 , 88 , 79 , 60 , 86 , 63 , 93 , 99 , 60 , 85	$88$ , $89$ , $65$ , $62$ , $83$ , $63$ , $84$ , $63$ , $74$ , $64$ , $71$ , $82$ , $66$ , $88$ , $79$ , $60$ , $86$ , $63$ , $93$ , $99$ , $60$ , $85$
10891	Solve for x	e^x=1	$e^{x} = 1$
10892	Convert to a Decimal	17/22	$\frac{17}{22}$
10893	Solve for x	log base x of 9=-2	$\log_{x} (9) = - 2$
10894	Find the x and y Intercepts	y=-5x^2-11x-2	$y = - 5 x^{2} - 11 x - 2$
10895	Find the x and y Intercepts	y=-x^2+4x+8	$y = - x^{2} + 4 x + 8$
10896	Expand Using the Binomial Theorem	(4r+t)^4	${(4 r + t)}^{4}$
10897	Find the Vertex	y=2x^2-9x+2	$y = 2 x^{2} - 9 x + 2$
10898	Solve for x	natural log of x=-4	$\ln (x) = - 4$
10899	Identify the Zeros and Their Multiplicities	y=2x^3-2x	$y = 2 x^{3} - 2 x$
10900	Solve for x	2x-1=0	$2 x - 1 = 0$