Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
11001	Find the Vertex	y=x^2+6x-11	$y = x^{2} + 6 x - 11$
11002	Simplify	cube root of 32x^5	$\sqrt[3]{32 x^{5}}$
11003	Find the Equation Using Slope-Intercept Form	m=1/4 , b=-3/4	$m = \frac{1}{4}$ , $b = - \frac{3}{4}$
11004	Find the Domain and Range	3^x+5	$3^{x} + 5$
11005	Find the Asymptotes	y=(3x^6-7x+9)/(7x^2+7x+9)	$y = \frac{3 x^{6} - 7 x + 9}{7 x^{2} + 7 x + 9}$
11006	Divide	(x^2-9)/(x-3)	$\frac{x^{2} - 9}{x - 3}$
11007	Describe the Transformation	y = cube root of 8x-64-5	$y = \sqrt[3]{8 x - 64} - 5$
11008	Divide	(x^3-125)/(x-5)	$\frac{x^{3} - 125}{x - 5}$
11009	Divide	(8xy^2-14y^2)/(2y)	$\frac{8 x y^{2} - 14 y^{2}}{2 y}$
11010	Find the Inverse	y = log of x-6	$y = \log (x - 6)$
11011	Evaluate	( square root of 11+ square root of 2)/( square root of 11- square root of 2)	$\frac{\sqrt{11} + \sqrt{2}}{\sqrt{11} - \sqrt{2}}$
11012	Find the Domain and Range	y=-0.25x^2	$y = - 0.25 x^{2}$
11013	Evaluate	6/(2- square root of 7)	$\frac{6}{2 - \sqrt{7}}$
11014	Solve for x	2<3x-5<4	$2 < 3 x - 5 < 4$
11015	Find the Domain	f(x)=1/(x^2-4x-5)	$f (x) = \frac{1}{x^{2} - 4 x - 5}$
11016	Find the Vertex	g(x)=x^2-6x+5	$g (x) = x^{2} - 6 x + 5$
11017	Write in Slope-Intercept Form	x-2y=6	$x - 2 y = 6$
11018	Identify the Sequence	2 , 10 , 50 , 250	$2$ , $10$ , $50$ , $250$
11019	Solve Using the Square Root Property	(x-4)^2=169	${(x - 4)}^{2} = 169$
11020	Find the x and y Intercepts	4x-3y=-12	$4 x - 3 y = - 12$
11021	Convert to Interval Notation	x^2-2x<=1	$x^{2} - 2 x \leq 1$
11022	Solve by Factoring	27x^3+1=0	$27 x^{3} + 1 = 0$
11023	Solve Using the Quadratic Formula	2x^2-5x-13=0	$2 x^{2} - 5 x - 13 = 0$
11024	Solve by Factoring	3x^2+18x+15=0	$3 x^{2} + 18 x + 15 = 0$
11025	Solve Using the Quadratic Formula	2x^2+7x-2=-x^2+2x	$2 x^{2} + 7 x - 2 = - x^{2} + 2 x$
11026	Solve Using the Quadratic Formula	10-9x^2+4x=-6x^2	$10 - 9 x^{2} + 4 x = - 6 x^{2}$
11027	Find the Slope and y-intercept	2x-5y=10	$2 x - 5 y = 10$
11028	Solve Using the Quadratic Formula	10=-4x+3x^2	$10 = - 4 x + 3 x^{2}$
11029	Solve by Completing the Square	x^2+5x+6=0	$x^{2} + 5 x + 6 = 0$
11030	Solve Using the Quadratic Formula	6x^2+7x+9=11x^2	$6 x^{2} + 7 x + 9 = 11 x^{2}$
11031	Solve by Completing the Square	x^2-6x-5=0	$x^{2} - 6 x - 5 = 0$
11032	Write in Standard Form	(1+7i)/(1+i)	$\frac{1 + 7 i}{1 + i}$
11033	Write in Standard Form	(1+i)/(1-i)	$\frac{1 + i}{1 - i}$
11034	Find the Roots (Zeros)	12/(x-6)+x=3+(8x)/(x-6)	$\frac{12}{x - 6} + x = 3 + \frac{8 x}{x - 6}$
11035	Find the Maximum/Minimum Value	P=-3x+4y	$P = - 3 x + 4 y$
11036	Solve by Factoring	square root of 2x-5=3	$\sqrt{2 x - 5} = 3$
11037	Find the Behavior (Leading Coefficient Test)	f(x)=1/4x^5+8x-5x^4-19	$f (x) = \frac{1}{4} x^{5} + 8 x - 5 x^{4} - 19$
11038	Rationalize the Denominator	6/( square root of 8x)	$\frac{6}{\sqrt{8 x}}$
11039	Find the GCF	7x^2a+7xa^2	$7 x^{2} a + 7 x a^{2}$
11040	Solve by Factoring	2x^2-3x-5=0	$2 x^{2} - 3 x - 5 = 0$
11041	Find Where Undefined/Discontinuous	(x^2-16x+64)/(4x^2-36x+32)	$\frac{x^{2} - 16 x + 64}{4 x^{2} - 36 x + 32}$
11042	Solve by Factoring	2 square root of x- square root of x-5 = square root of 2x-2	$2 \sqrt{x} - \sqrt{x - 5} = \sqrt{2 x - 2}$
11043	Find Where Undefined/Discontinuous	y=(-x+4)/(x^2+6x+8)	$y = \frac{- x + 4}{x^{2} + 6 x + 8}$
11044	Solve by Factoring	square root of 7x+46=x+4	$\sqrt{7 x + 46} = x + 4$
11045	Solve by Factoring	square root of 54-x=x+2	$\sqrt{54 - x} = x + 2$
11046	Evaluate Using Scientific Notation	(5.210^-2)(8.0*10^-4)	$(5.2 \cdot 10^{- 2}) \cdot (8 \cdot 10^{- 4})$
11047	Solve by Factoring	x^3+2x^2-25x-50=0	$x^{3} + 2 x^{2} - 25 x - 50 = 0$
11048	Subtract	180-60	$180 - 60$
11049	Subtract	10/w-1/3	$\frac{10}{w} - \frac{1}{3}$
11050	Solve by Factoring	x^2+7x=0	$x^{2} + 7 x = 0$
11051	Subtract	32-8	$32 - 8$
11052	Solve Using the Quadratic Formula	(m-3)(3m+4)=5(m+1)+8	$(m - 3) (3 m + 4) = 5 (m + 1) + 8$
11053	Subtract	180-132	$180 - 132$
11054	Solve Using the Quadratic Formula	r^2+3r-1=0	$r^{2} + 3 r - 1 = 0$
11055	Find the x and y Intercepts	y=1/3x	$y = \frac{1}{3} x$
11056	Expand the Trigonometric Expression	6z^2(7z^2+3z-2)	$6 z^{2} (7 z^{2} + 3 z - 2)$
11057	Find the x and y Intercepts	x-6y=6	$x - 6 y = 6$
11058	Expand the Trigonometric Expression	4b^2(b^3-8)	$4 b^{2} (b^{3} - 8)$
11059	Find the x and y Intercepts	x-2y=2	$x - 2 y = 2$
11060	Expand the Trigonometric Expression	(3c+7d)^2	${(3 c + 7 d)}^{2}$
11061	Solve Using the Quadratic Formula	2v^2-5v+3=0	$2 v^{2} - 5 v + 3 = 0$
11062	Expand the Trigonometric Expression	(5r^2+4)(5r^2+4)	$(5 r^{2} + 4) (5 r^{2} + 4)$
11063	Expand the Trigonometric Expression	-t(-4t^3+8t^2)	$- t (- 4 t^{3} + 8 t^{2})$
11064	Solve Using the Quadratic Formula	2x^2+x=10	$2 x^{2} + x = 10$
11065	Combine	7p-(-5)+(-1)	$7 p - (- 5) + (- 1)$
11066	Solve Using the Quadratic Formula	2x^2=10x+3	$2 x^{2} = 10 x + 3$
11067	Combine	2s+(-4s)	$2 s + (- 4 s)$
11068	Solve Using the Quadratic Formula	16x^2-16x+4=0	$16 x^{2} - 16 x + 4 = 0$
11069	Combine	-5.55-8.55c+4.35c	$- 5.55 - 8.55 c + 4.35 c$
11070	Solve Using the Quadratic Formula	2k^2+9k=-7	$2 k^{2} + 9 k = - 7$
11071	Combine	1.3b+7.8-3.2b	$1.3 b + 7.8 - 3.2 b$
11072	Solve Using the Quadratic Formula	3x^2-4x-4=0	$3 x^{2} - 4 x - 4 = 0$
11073	Write in Standard Form	(x-9)(x+2)	$(x - 9) (x + 2)$
11074	Write in Standard Form	(4+3i)+(-1-6i)	$(4 + 3 i) + (- 1 - 6 i)$
11075	Solve Using the Quadratic Formula	3x^2+5x=8	$3 x^{2} + 5 x = 8$
11076	Write in Standard Form	(3-7i)-(-11+5i)	$(3 - 7 i) - (- 11 + 5 i)$
11077	Find the Roots (Zeros)	f(x)=x^2-12x+20	$f (x) = x^{2} - 12 x + 20$
11078	Solve Using the Quadratic Formula	x^2-2x=4	$x^{2} - 2 x = 4$
11079	Find the Perfect Square Trinomial	x^2+7x+	$x^{2} + 7 x +$
11080	Solve Using the Quadratic Formula	x^2-6x-8=0	$x^{2} - 6 x - 8 = 0$
11081	Add	4 cube root of 3x+5 cube root of 10x	$4 \sqrt[3]{3 x} + 5 \sqrt[3]{10 x}$
11082	Solve Using the Quadratic Formula	x^2-8x-3=0	$x^{2} - 8 x - 3 = 0$
11083	Solve Using the Quadratic Formula	x^2-8x=9	$x^{2} - 8 x = 9$
11084	Expand the Logarithmic Expression	log base 3 of x/12	$\log_{3} (\frac{x}{12})$
11085	Expand the Logarithmic Expression	log base 8 of 3x	$\log_{8} (3 x)$
11086	Find the Domain and Range	f(x)=1/4(x^3+6x^2+5x-4)	$f (x) = \frac{1}{4} (x^{3} + 6 x^{2} + 5 x - 4)$
11087	Write in Standard Form	x^2-5=-4x^2+3x	$x^{2} - 5 = - 4 x^{2} + 3 x$
11088	Find the Slope and y-intercept	7x-2y=4	$7 x - 2 y = 4$
11089	Solve Using the Quadratic Formula	x^2+5x-84=0	$x^{2} + 5 x - 84 = 0$
11090	Solve Using the Quadratic Formula	x^2+4x=-4	$x^{2} + 4 x = - 4$
11091	Find the x and y Intercepts	y=cos(1/2x)	$y = \cos (\frac{1}{2} x)$
11092	Solve Using the Quadratic Formula	x^2+2x=9	$x^{2} + 2 x = 9$
11093	Convert to a Decimal	8.65%	$8.65 %$
11094	Solve Using the Quadratic Formula	x^2+12x+33=0	$x^{2} + 12 x + 33 = 0$
11095	Factor by Grouping	49r^3+42r^2-42r-36	$49 r^{3} + 42 r^{2} - 42 r - 36$
11096	Solve Using the Quadratic Formula	x^2+14x+38=0	$x^{2} + 14 x + 38 = 0$
11097	Find All Complex Solutions	7x^5-33x^4-4x^2+3x+52=0	$7 x^{5} - 33 x^{4} - 4 x^{2} + 3 x + 52 = 0$
11098	Solve Using the Quadratic Formula	5x^2-6=0	$5 x^{2} - 6 = 0$
11099	Solve Using the Quadratic Formula	5x^2-20x=0	$5 x^{2} - 20 x = 0$
11100	Solve Using the Quadratic Formula	5x^2-8x+3=0	$5 x^{2} - 8 x + 3 = 0$