Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173601	Describe the Transformation	y=(x-2)^3+5	$y = {(x - 2)}^{3} + 5$
173602	Multiply	10-10*10+10	$10 - 10 \cdot 10 + 10$
173603	Find the Holes in the Graph	(3x-3)/(x^2-1)	$\frac{3 x - 3}{x^{2} - 1}$
173604	Find the Product	(9-a)^2	${(9 - a)}^{2}$
173605	Solve the Inequality for x	2x-5/3>x/3+10	$2 x - \frac{5}{3} > \frac{x}{3} + 10$
173606	Solve the Rational Equation for x	x- square root of 3x-2=4	$x - \sqrt{3 x - 2} = 4$
173607	Solve the System of Inequalities	15<-2x+1 and -1<-2x+1	$15 < - 2 x + 1$ and $- 1 < - 2 x + 1$
173608	Find the Domain and Range	a^x	$a^{x}$
173609	Solve for x	5/(x+3)+4/(x+2)=2	$\frac{5}{x + 3} + \frac{4}{x + 2} = 2$
173610	Find the Exact Value	sec(theta)-cos(theta)	$\sec (θ) - \cos (θ)$
173611	Graph	y=-3/2cos(x)	$y = - \frac{3}{2} \cos (x)$
173612	Solve the System of Equations	y=x^2-8x+2 y=-2x+18	$y = x^{2} - 8 x + 2$ $y = - 2 x + 18$
173613	Solve the Inequality for x	1+2/(x+1)<2/x	$1 + \frac{2}{x + 1} < \frac{2}{x}$
173614	Find the Exact Value	(2pi)/(1/2)	$\frac{2 π}{\frac{1}{2}}$
173615	Simplify	((3x)/(x+1))÷x+1	$\frac{3 x}{x + 1} \div x + 1$
173616	Write in Standard Form	3y-5=0	$3 y - 5 = 0$
173617	Simplify	square root of 81+ square root of -7+ square root of 9+ square root of -112	$\sqrt{81} + \sqrt{- 7} + \sqrt{9} + \sqrt{- 112}$
173618	Evaluate	\|5-2*9\|+(9^2)÷3	$\| 5 - 2 \cdot 9 \| + 9^{2} \div 3$
173619	Evaluate	f(x) = square root of 4	$f (x) = \sqrt{4}$
173620	Graph	g(x)=f(5x)	$g (x) = f (5 x)$
173621	Solve for n	n^(1/2)+6n^(1/4)-16=0	$n^{\frac{1}{2}} + 6 n^{\frac{1}{4}} - 16 = 0$
173622	Solve by Substitution	y=3x+14 y=x	$y = 3 x + 14$ $y = x$
173623	Graph	square root of y	$\sqrt{y}$
173624	Simplify	((2^10)^3*2^-10)/(2^-7)	$\frac{{(2^{10})}^{3} \cdot 2^{- 10}}{2^{- 7}}$
173625	Find the Axis of Symmetry	f(x)=(x^2+x-12)/(x^2-4)	$f (x) = \frac{x^{2} + x - 12}{x^{2} - 4}$
173626	Simplify	2/( square root of x- square root of x+2)	$\frac{2}{\sqrt{x} - \sqrt{x + 2}}$
173627	Write in Standard Form	12x=7y-10y	$12 x = 7 y - 10 y$
173628	Solve for m	7m-7-6m-16=1+4m	$7 m - 7 - 6 m - 16 = 1 + 4 m$
173629	Find the Inverse	y = square root of 4-x^2	$y = \sqrt{4 - x^{2}}$
173630	Simplify	-3(2x^4)(4x^5y)^2	$- 3 (2 x^{4}) {(4 x^{5} y)}^{2}$
173631	Simplify	((a^2b)/(b^4))^3	${(\frac{a^{2} b}{b^{4}})}^{3}$
173632	Solve for U	T=(3U)/E ; for U	$T = \frac{3 U}{E}$ ; for $U$
173633	Solve for x	-(2x+4)+x=3x-4x-4	$- (2 x + 4) + x = 3 x - 4 x - 4$
173634	Simplify	(625(5xy)^-3)/((5x)^2y^7)	$\frac{625 {(5 x y)}^{- 3}}{{(5 x)}^{2} y^{7}}$
173635	Find the Product	4x(3x-5)	$4 x (3 x - 5)$
173636	Solve the System of Inequalities	x-9<-6 or x-9<2	$x - 9 < - 6$ or $x - 9 < 2$
173637	Subtract	6 4/12-5/10	$6 \frac{4}{12} - \frac{5}{10}$
173638	Solve the Inequality for θ	0<=theta<2pi	$0 \leq θ < 2 π$
173639	Simplify	8a^2+3a-1+2a-5a^2+3	$8 a^{2} + 3 a - 1 + 2 a - 5 a^{2} + 3$
173640	Solve the Inequality for x	4x+3<x-3	$4 x + 3 < x - 3$
173641	Graph	y-1>=-x	$y - 1 \geq - x$
173642	Solve for x	8-5x=2(x+3)	$8 - 5 x = 2 (x + 3)$
173643	Evaluate	5-(7-2-(1-9)-3+12)+4	$5 - (7 - 2 - (1 - 9) - 3 + 12) + 4$
173644	Simplify	1/( square root of 2+ square root of 2)	$\frac{1}{\sqrt{2} + \sqrt{2}}$
173645	Graph	f(x)=(-x)^3	$f (x) = {(- x)}^{3}$
173646	Solve Using the Quadratic Formula	((x+2)^2)/5+((x-2)^2)/3=16/3	$\frac{{(x + 2)}^{2}}{5} + \frac{{(x - 2)}^{2}}{3} = \frac{16}{3}$
173647	Solve for m	m/(m+9)=63/22	$\frac{m}{m + 9} = \frac{63}{22}$
173648	Evaluate	(x^2-2)^2-2	${(x^{2} - 2)}^{2} - 2$
173649	Multiply	-3/2*1	$- \frac{3}{2} \cdot 1$
173650	Multiply	(x)(x^2)	$(x) (x^{2})$
173651	Find All Complex Solutions	12z-6+15z=27z-5	$12 z - 6 + 15 z = 27 z - 5$
173652	Graph	x>=1/2	$x \geq \frac{1}{2}$
173653	Solve the Inequality for x	1/2x+3<2x-6	$\frac{1}{2} x + 3 < 2 x - 6$
173654	Graph Using a Table of Values	y=1/(x+2)	$y = \frac{1}{x + 2}$
173655	Solve by Substitution	y=-3x+4 y=x	$y = - 3 x + 4$ $y = x$
173656	Solve for x	6x+14=-5x+4+9x	$6 x + 14 = - 5 x + 4 + 9 x$
173657	Solve for x	2x(4-x)^(-1/2)-3 square root of 4-x=0	$2 x {(4 - x)}^{- \frac{1}{2}} - 3 \sqrt{4 - x} = 0$
173658	Solve for r	(x-h)^2+(y-k)^2=r^2	${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$
173659	Solve for x	9^(2x-1)=81^x	$9^{2 x - 1} = 81^{x}$
173660	Simplify the Radical Expression	fourth root of 81x^20y^24	$\sqrt[4]{81 x^{20} y^{24}}$
173661	Solve for x	3/(2x)-(2x)/(x+1)=-2	$\frac{3}{2 x} - \frac{2 x}{x + 1} = - 2$
173662	Evaluate Using the Given Value	(y^2+4y+1)/(y^2-1) , y=-2	$\frac{y^{2} + 4 y + 1}{y^{2} - 1}$ , $y = - 2$
173663	Simplify	8k^2-k-5k+7-2k^2	$8 k^{2} - k - 5 k + 7 - 2 k^{2}$
173664	Solve for a	P=a-b+c	$P = a - b + c$
173665	Evaluate	1-cos(0)	$1 - \cos (0)$
173666	Solve for x	1+\|2+x\|=9	$1 + \| 2 + x \| = 9$
173667	Find the Exact Value	(-2)^-3	${(- 2)}^{- 3}$
173668	Simplify	-3 square root of 7r^3*6 square root of 7r^2	$- 3 \sqrt{7 r^{3}} \cdot 6 \sqrt{7 r^{2}}$
173669	Solve for x	2/3x-1/5x=x-1	$\frac{2}{3} x - \frac{1}{5} x = x - 1$
173670	Factor	8x^3+36x^2+54x+27	$8 x^{3} + 36 x^{2} + 54 x + 27$
173671	Graph	f(x)=1+x^2	$f (x) = 1 + x^{2}$
173672	Solve the Inequality for y	22>=5(2y+3)-3y	$22 \geq 5 (2 y + 3) - 3 y$
173673	Solve the System of Equations	3=4y+x 4y=-x+3	$3 = 4 y + x$ $4 y = - x + 3$
173674	Factor	24x^2y^3z^4-36x^3yz^2	$24 x^{2} y^{3} z^{4} - 36 x^{3} y z^{2}$
173675	Simplify	-3+4(a-3b+2)-5(2-a+3b)	$- 3 + 4 (a - 3 b + 2) - 5 (2 - a + 3 b)$
173676	Solve for x	10-(3x-1)/2=(6x+3)/11	$10 - \frac{3 x - 1}{2} = \frac{6 x + 3}{11}$
173677	Simplify	( square root of 6x^2)÷( square root of 4x)	$\sqrt{6 x^{2}} \div \sqrt{4 x}$
173678	Solve for x	3x-1-(x-4)-(2(x-3)-3(1-2x))=-x-2	$3 x - 1 - (x - 4) - (2 (x - 3) - 3 (1 - 2 x)) = - x - 2$
173679	Solve for x	-3(-2x+23)+12=6(-4x+9)+9	$- 3 (- 2 x + 23) + 12 = 6 (- 4 x + 9) + 9$
173680	Solve for x	square root of x/10=1	$\sqrt{\frac{x}{10}} = 1$
173681	Simplify	(x^2-9)/(x^2+x-20)*(x^2-8x+16)/(3x-9)	$\frac{x^{2} - 9}{x^{2} + x - 20} \cdot \frac{x^{2} - 8 x + 16}{3 x - 9}$
173682	Find the Inverse	y=(2x)/5+2	$y = \frac{2 x}{5} + 2$
173683	Solve for x	1/(6x^2)-1/(2x)=1/(12x^2)	$\frac{1}{6 x^{2}} - \frac{1}{2 x} = \frac{1}{12 x^{2}}$
173684	Solve the Inequality for x	(x-1)/(x+6)>=(x-2)/(x+4)	$\frac{x - 1}{x + 6} \geq \frac{x - 2}{x + 4}$
173685	Simplify	-2x^2+8x-9+4x+7x^2+2	$- 2 x^{2} + 8 x - 9 + 4 x + 7 x^{2} + 2$
173686	Solve the Inequality for x	1/3(9x+27)>x+33	$\frac{1}{3} (9 x + 27) > x + 33$
173687	Simplify	(3x^2y)^-3	${(3 x^{2} y)}^{- 3}$
173688	Solve for b	(4b+8)/-2=10	$\frac{4 b + 8}{- 2} = 10$
173689	Factor	xy-4x+y-4	$x y - 4 x + y - 4$
173690	Solve for x	2x^2-5x+2=(x-3)(x-2)+3x	$2 x^{2} - 5 x + 2 = (x - 3) (x - 2) + 3 x$
173691	Solve for y	(y-1/2)/3-(2y+2)/(2y+1)=(2y+1/2)/6	$\frac{y - \frac{1}{2}}{3} - \frac{2 y + 2}{2 y + 1} = \frac{2 y + \frac{1}{2}}{6}$
173692	Simplify	square root of 7y( square root of 27y+5 square root of 12y)	$\sqrt{7 y} (\sqrt{27 y} + 5 \sqrt{12 y})$
173693	Evaluate	((2pi)/3)/2	$\frac{\frac{2 π}{3}}{2}$
173694	Solve the System of Equations	x+y=4 x+2y=6	$x + y = 4$ $x + 2 y = 6$
173695	Simplify	(-4x^3-8x^2-4x-8)/(-12x^3-12x^2-12x-12)	$\frac{- 4 x^{3} - 8 x^{2} - 4 x - 8}{- 12 x^{3} - 12 x^{2} - 12 x - 12}$
173696	Solve the Inequality for d	-9.1<d-6.3	$- 9.1 < d - 6.3$
173697	Graph	f(x)=(x-1)(x^2-4)	$f (x) = (x - 1) (x^{2} - 4)$
173698	Solve for m₁	F=(Gm_1m_2)/(d^2)	$F = \frac{G m_{1} m_{2}}{d^{2}}$
173699	Find the x and y Intercepts	2x+y	$2 x + y$
173700	Solve the System of Equations	2x+y-z=5 x+3z=14 -2x-3y+2z=2	$2 x + y - z = 5$ $x + 3 z = 14$ $- 2 x - 3 y + 2 z = 2$