Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
162801	Write in Standard Form	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
162802	Solve by Factoring	x^2+31=-14x-9	$x^{2} + 31 = - 14 x - 9$
162803	Solve for x	1/x<1/(x-3)	$\frac{1}{x} < \frac{1}{x - 3}$
162804	Graph	cube root of x=0	$\sqrt[3]{x} = 0$
162805	Solve the Rational Equation for x	2/(x+1)+5/(2x)=2	$\frac{2}{x + 1} + \frac{5}{2 x} = 2$
162806	Simplify	square root of z/(z^(1/3))	$\sqrt{\frac{z}{z^{\frac{1}{3}}}}$
162807	Simplify	((x^2-36)/(8x+48))÷((x^2-4x-12)/(2x))	$\frac{x^{2} - 36}{8 x + 48} \div \frac{x^{2} - 4 x - 12}{2 x}$
162808	Solve the System of Inequalities	4x-6<10 or 30<4x-6	$4 x - 6 < 10$ or $30 < 4 x - 6$
162809	Write in Standard Form	2-9x^4-1/4x	$2 - 9 x^{4} - \frac{1}{4} x$
162810	Simplify	2/(x-4)-7x	$\frac{2}{x - 4} - 7 x$
162811	Solve for x	-3x+2c=-3 ; for x	$- 3 x + 2 c = - 3$ ; for $x$
162812	Simplify	(cos(x)^2tan(x)^2-1)/(cos(x)^2)	$\frac{\cos^{2} (x) \tan^{2} (x) - 1}{\cos^{2} (x)}$
162813	Solve the Inequality for x	(x^2+x-6)/(x^2-3x-4)<=0	$\frac{x^{2} + x - 6}{x^{2} - 3 x - 4} \leq 0$
162814	Factor	3x^3-1-x^2+3x	$3 x^{3} - 1 - x^{2} + 3 x$
162815	Solve for x	x^2+6x+3=2x	$x^{2} + 6 x + 3 = 2 x$
162816	Find the x and y Intercepts	f(x)=(-4x+17)/(3x)	$f (x) = \frac{- 4 x + 17}{3 x}$
162817	Graph	f(x)=2x(x-2)(x+1)	$f (x) = 2 x (x - 2) (x + 1)$
162818	Solve the Inequality for q	4q+5>=6q-7	$4 q + 5 \geq 6 q - 7$
162819	Evaluate	-(x+1)^2+(x+1)+1	$- {(x + 1)}^{2} + (x + 1) + 1$
162820	Find the Holes in the Graph	f(x)=(2x-7)/(-3x-9)	$f (x) = \frac{2 x - 7}{- 3 x - 9}$
162821	Simplify	(x-8)/(x^2+x-72)	$\frac{x - 8}{x^{2} + x - 72}$
162822	Solve for p	-24-8p=4p	$- 24 - 8 p = 4 p$
162823	Solve for y	26=-8/5y	$26 = - \frac{8}{5} y$
162824	Graph Using a Table of Values	f(x)=x^2+2	$f (x) = x^{2} + 2$
162825	Find the x and y Intercepts	f(x)=(x-4)/(2x+5)	$f (x) = \frac{x - 4}{2 x + 5}$
162826	Solve the Inequality for q	15>=q+3	$15 \geq q + 3$
162827	Find the Product	(x+2)(x+2)	$(x + 2) (x + 2)$
162828	Find the Product	(3x-1)^2	${(3 x - 1)}^{2}$
162829	Simplify	(4x^2-9)/(8x^3-27)	$\frac{4 x^{2} - 9}{8 x^{3} - 27}$
162830	Solve for x	(\|7x+4\|)/8=3	$\frac{\| 7 x + 4 \|}{8} = 3$
162831	Write in Standard Form	-3+10x^3-5x^2	$- 3 + 10 x^{3} - 5 x^{2}$
162832	Subtract	1/4-1/4	$\frac{1}{4} - \frac{1}{4}$
162833	Simplify	(x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6)	$\frac{x^{2} - x - 2}{x + 1} \cdot \frac{x^{2} + 3 x}{x^{2} + x - 6}$
162834	Graph	y>=x^2-2	$y \geq x^{2} - 2$
162835	Simplify	(1/5)^-3	${(\frac{1}{5})}^{- 3}$
162836	Simplify	((x^2-4)/(x^2-11x+18))÷((6x)/(x-9))	$\frac{x^{2} - 4}{x^{2} - 11 x + 18} \div \frac{6 x}{x - 9}$
162837	Solve for p	11+3p-7=6p+5-3p	$11 + 3 p - 7 = 6 p + 5 - 3 p$
162838	Find the Roots (Zeros)	x^4-x^3-11x^2+9x+18=0	$x^{4} - x^{3} - 11 x^{2} + 9 x + 18 = 0$
162839	Simplify	(b^-3c^0d^2)/(e^-4)	$\frac{b^{- 3} c^{0} d^{2}}{e^{- 4}}$
162840	Solve the System of Equations	-x+3y=9 x-3y=-9	$- x + 3 y = 9$ $x - 3 y = - 9$
162841	Solve for x	5x-2+x=x-4	$5 x - 2 + x = x - 4$
162842	Solve the Inequality for n	4n-6<10n+7	$4 n - 6 < 10 n + 7$
162843	Solve for m	2(2m)+4(4m+2)=108	$2 (2 m) + 4 (4 m + 2) = 108$
162844	Simplify	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
162845	Simplify	5/(2x-12)-20/(x^2-4x-12)	$\frac{5}{2 x - 12} - \frac{20}{x^{2} - 4 x - 12}$
162846	Solve for x	\|x-1\|>=6	$\| x - 1 \| \geq 6$
162847	Find the Complex Conjugate	square root of -16	$\sqrt{- 16}$
162848	Solve the System of Equations	-x+2y=8 x-2y=-8	$- x + 2 y = 8$ $x - 2 y = - 8$
162849	Simplify the Radical Expression	cube root of x^4	$\sqrt[3]{x^{4}}$
162850	Solve for θ	sec((3theta)/2)=-2	$\sec (\frac{3 θ}{2}) = - 2$
162851	Solve Using the Quadratic Formula	t^2-7t+16=t	$t^{2} - 7 t + 16 = t$
162852	Graph Using a Table of Values	f(x)=x+5	$f (x) = x + 5$
162853	Solve for z	4-1/3z=-7z+6	$4 - \frac{1}{3} z = - 7 z + 6$
162854	Evaluate	-7+3(-4e-3)	$- 7 + 3 (- 4 e - 3)$
162855	Solve for x	14-12x+39x-18x=256-60x-657x	$14 - 12 x + 39 x - 18 x = 256 - 60 x - 657 x$
162856	Solve for a	(a+1)/b=(a-1)/b+(b+1)/a	$\frac{a + 1}{b} = \frac{a - 1}{b} + \frac{b + 1}{a}$
162857	Solve for x	square root of -2x+4+ square root of 2x+5=3	$\sqrt{- 2 x + 4} + \sqrt{2 x + 5} = 3$
162858	Solve for x	w=x/y-z	$w = \frac{x}{y} - z$
162859	Write in Standard Form	1/9+x^3-10x^2	$\frac{1}{9} + x^{3} - 10 x^{2}$
162860	Graph Using a Table of Values	f(x)=2x-4	$f (x) = 2 x - 4$
162861	Solve the System of Equations	x-3y=-6 -x+3y=6	$x - 3 y = - 6$ $- x + 3 y = 6$
162862	Simplify	(5x^2-y^5)^2	${(5 x^{2} - y^{5})}^{2}$
162863	Simplify	(8n^2+3n^7)(8n^2-3n^7)	$(8 n^{2} + 3 n^{7}) (8 n^{2} - 3 n^{7})$
162864	Solve for p	3p^2+9p=-6	$3 p^{2} + 9 p = - 6$
162865	Solve for x	m=(x+y)/2	$m = \frac{x + y}{2}$
162866	Find the Product	(2a-7)/a*(3a^2)/(2a^2-11a+14)	$\frac{2 a - 7}{a} \cdot \frac{3 a^{2}}{2 a^{2} - 11 a + 14}$
162867	Solve the Inequality for x	6x>=3+4(2x-1)	$6 x \geq 3 + 4 (2 x - 1)$
162868	Write in Standard Form	2 square root of 3	$2 \sqrt{3}$
162869	Factor	y^4+xy	$y^{4} + x y$
162870	Solve the Inequality for x	x/-8>=-5	$\frac{x}{- 8} \geq - 5$
162871	Solve for b	a(2+b)=-12	$a (2 + b) = - 12$
162872	Solve the Inequality for h	10h+1<5h-6	$10 h + 1 < 5 h - 6$
162873	Solve for v	5/3-1/(3v-3)=1/(v-1)	$\frac{5}{3} - \frac{1}{3 v - 3} = \frac{1}{v - 1}$
162874	Simplify	(1x)/( square root of 5)	$\frac{1 x}{\sqrt{5}}$
162875	Write in Standard Form	y=(x-1)^2-16	$y = {(x - 1)}^{2} - 16$
162876	Simplify	((2x-1)/(x+1))÷((3x^2)/(x^2+x))	$\frac{2 x - 1}{x + 1} \div \frac{3 x^{2}}{x^{2} + x}$
162877	Solve for x	10x-8/3-4x=6x	$10 x - \frac{8}{3} - 4 x = 6 x$
162878	Find the Function	f(x)=x^3+1	$f (x) = x^{3} + 1$
162879	Solve for x	9x+(-2x+8)=3x+(5-6x)-(-5x-18)	$9 x + (- 2 x + 8) = 3 x + (5 - 6 x) - (- 5 x - 18)$
162880	Find the Distance Between Two Points	(-4,-5) and (0,-1)	$(- 4, - 5)$ and $(0, - 1)$
162881	Solve the Absolute Value Inequality for x	\|x\|=10	$\| x \| = 10$
162882	Solve for x	x^2-1/4=0	$x^{2} - \frac{1}{4} = 0$
162883	Solve for z	63z^2+61z=-6	$63 z^{2} + 61 z = - 6$
162884	Solve for x	11+3x-7=6x+5-3x	$11 + 3 x - 7 = 6 x + 5 - 3 x$
162885	Simplify	10x^3(x^2y^3)	$10 x^{3} (x^{2} y^{3})$
162886	Solve the System of Inequalities	-2x+8>=2 or -2>=-2x+8	$- 2 x + 8 \geq 2$ or $- 2 \geq - 2 x + 8$
162887	Graph	-2f(x)	$- 2 f (x)$
162888	Simplify	1/x-1/(x^2)	$\frac{1}{x} - \frac{1}{x^{2}}$
162889	Factor	(x^2-8x+16)	$(x^{2} - 8 x + 16)$
162890	Find the Excluded Values	-7/(x^2-2x-15)	$\frac{- 7}{x^{2} - 2 x - 15}$
162891	Evaluate	(-3^2)	$(- 3^{2})$
162892	Describe the Transformation	g(x)=-x^2	$g (x) = - x^{2}$
162893	Simplify	8(2n+n+8)-n	$8 (2 n + n + 8) - n$
162894	Simplify	sec(theta)^2*cos(theta)^2	$\sec^{2} (θ) \cdot \cos^{2} (θ)$
162895	Solve the System of Equations	y=x^2-2x-3 y=2x-3	$y = x^{2} - 2 x - 3$ $y = 2 x - 3$
162896	Simplify	(1+i)*(3-5i)	$(1 + i) \cdot (3 - 5 i)$
162897	Write in Slope-Intercept Form	(1,4) , (2,2)	$(1, 4)$ , $(2, 2)$
162898	Plot	table[[x,y]]	$\begin{array}{c} x & y \end{array}$
162899	Divide	(8/9)÷(2/3)	$\frac{8}{9} \div \frac{2}{3}$
162900	Solve for x	x-(x+2)/(x+1)=x/(x+1)	$x - \frac{x + 2}{x + 1} = \frac{x}{x + 1}$