Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183501	Find the Axis of Symmetry	(x^2)/9-(y^2)/16=1	$\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$
183502	Graph	(-4,4]	$(- 4, 4]$
183503	Simplify	- square root of 7x^6-x^2 square root of 7x^2	$- \sqrt{7 x^{6}} - x^{2} \sqrt{7 x^{2}}$
183504	Find the x and y Intercepts	f(x)=(2x+5)	$f (x) = (2 x + 5)$
183505	Evaluate	square root of x^2+y^2=x+y	$\sqrt{x^{2} + y^{2}} = x + y$
183506	Find All Complex Solutions	2sin(x)^2+3cos(x)=3	$2 \sin^{2} (x) + 3 \cos (x) = 3$
183507	Solve the Inequality for x	1/(x+1)<2/(3x-1)	$\frac{1}{x + 1} < \frac{2}{3 x - 1}$
183508	Find the Exact Value	log base 1/2 of 16	$\log_{\frac{1}{2}} (16)$
183509	Find the Holes in the Graph	(x^2-25)/(2x^2-17x+35)	$\frac{x^{2} - 25}{2 x^{2} - 17 x + 35}$
183510	Simplify	(-x^2+8x-12)/(x^2-4x-12)	$\frac{- x^{2} + 8 x - 12}{x^{2} - 4 x - 12}$
183511	Solve for x	3x+4-x=5x-10-x	$3 x + 4 - x = 5 x - 10 - x$
183512	Solve for r	78+r=-15	$78 + r = - 15$
183513	Solve for x	1/5(5x-5)+3x=-9(1/3x+4)	$\frac{1}{5} (5 x - 5) + 3 x = - 9 (\frac{1}{3} x + 4)$
183514	Solve for Q	x-3y=4 Qx-6y=8	$x - 3 y = 4$ $Q x - 6 y = 8$
183515	Find the x and y Intercepts	x+2y	$x + 2 y$
183516	Convert to Polar	x=10	$x = 10$
183517	Graph	f(x)=(1-x)/x	$f (x) = \frac{1 - x}{x}$
183518	Find the Domain and Range	square root of x^2-6x	$\sqrt{x^{2} - 6 x}$
183519	Simplify	(x+1/3)^2	${(x + \frac{1}{3})}^{2}$
183520	Simplify	(a^2-1)/(1-a^2)	$\frac{a^{2} - 1}{1 - a^{2}}$
183521	Find g(f(x))	f(x) = square root of x+4 , g(x)=x^2	$f (x) = \sqrt{x + 4}$ , $g (x) = x^{2}$
183522	Solve for t	\|3t-2\|<=4	$\| 3 t - 2 \| \leq 4$
183523	Evaluate	-1/(2(4)^(3/2))	$- \frac{1}{2 {(4)}^{\frac{3}{2}}}$
183524	Simplify	cube root of (128y^3)/125	$\sqrt[3]{\frac{128 y^{3}}{125}}$
183525	Divide	((x-4)/(2x^2))÷((2x+3)/(x+4))	$\frac{x - 4}{2 x^{2}} \div \frac{2 x + 3}{x + 4}$
183526	Find the End Behavior	f(x)=(2x+7)(3x-1)(x+5)(x-7)	$f (x) = (2 x + 7) (3 x - 1) (x + 5) (x - 7)$
183527	Write in Standard Form	2y+3=-1/3(x-2)	$2 y + 3 = - \frac{1}{3} (x - 2)$
183528	Solve for x	\|x-1\|+\|x-3\|=2	$\| x - 1 \| + \| x - 3 \| = 2$
183529	Simplify	(2(9-6)^2)/18	$\frac{2 {(9 - 6)}^{2}}{18}$
183530	Solve the Inequality for x	-8<=2x-4<4	$- 8 \leq 2 x - 4 < 4$
183531	Write in Exponential Form	square root of y^2	$\sqrt{y^{2}}$
183532	Solve for x	2^(-x)+1=5^x+2	$2^{- x} + 1 = 5^{x} + 2$
183533	Write in Standard Form	(-5b^2-8b)-(-9b^3-5b^2-8b)	$(- 5 b^{2} - 8 b) - (- 9 b^{3} - 5 b^{2} - 8 b)$
183534	Evaluate	3!3!	$3! 3!$
183535	Multiply	(x+y)*(x-y)	$(x + y) \cdot (x - y)$
183536	Find the Distance Between Two Points	(6,3) and (3,6)	$(6, 3)$ and $(3, 6)$
183537	Simplify	f(x)=x square root of x^2* cube root of x^3* fourth root of x^5	$f (x) = x \sqrt{x^{2} \cdot \sqrt[3]{x^{3} \cdot \sqrt[4]{x^{5}}}}$
183538	Evaluate	\|2x-3\|=7	$\| 2 x - 3 \| = 7$
183539	Evaluate	25% of 200	$25 %$ of $200$
183540	Find f(f(x))	f(x)=x^2-2x+3 , f(x)=-6x	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 6 x$
183541	Find the Distance Between Two Points	(2,-6) and (3,1)	$(2, - 6)$ and $(3, 1)$
183542	Solve for x	2 = fourth root of 4+3x	$2 = \sqrt[4]{4 + 3 x}$
183543	Solve for a	8x-8+3ax=5ax-2a	$8 x - 8 + 3 a x = 5 a x - 2 a$
183544	Find the Distance Between Two Points	(-1,5) and (-7,-1)	$(- 1, 5)$ and $(- 7, - 1)$
183545	Graph Using a Table of Values	f(x)=2(2)^x	$f (x) = 2 {(2)}^{x}$
183546	Solve for t	-(t+2)=-3t+23	$- (t + 2) = - 3 t + 23$
183547	Simplify	e^(2x)*e^(-2x)	$e^{2 x} \cdot e^{- 2 x}$
183548	Divide	(a/b)÷(c/d)	$\frac{a}{b} \div \frac{c}{d}$
183549	Solve for x	natural log of 5=1+ natural log of 2x	$\ln (5) = 1 + \ln (2 x)$
183550	Convert to Interval Notation	x+5x-6<12	$x + 5 x - 6 < 12$
183551	Subtract	-2/3-1/3	$- \frac{2}{3} - \frac{1}{3}$
183552	Solve by Addition/Elimination	0=-2y+10-6x 14-22y=18x	$0 = - 2 y + 10 - 6 x$ $14 - 22 y = 18 x$
183553	Solve for x	-7x^2+x+9=-6x	$- 7 x^{2} + x + 9 = - 6 x$
183554	Simplify	(2 square root of 8)/( square root of 12)	$\frac{2 \sqrt{8}}{\sqrt{12}}$
183555	Rationalize the Denominator	( square root of 21- square root of 6)/( square root of 35- square root of 10)	$\frac{\sqrt{21} - \sqrt{6}}{\sqrt{35} - \sqrt{10}}$
183556	Simplify	(3x^4-2x^2-2)+(-2x^4+5)	$(3 x^{4} - 2 x^{2} - 2) + (- 2 x^{4} + 5)$
183557	Solve for z	6=1/4z-1	$6 = \frac{1}{4} z - 1$
183558	Solve Using the Quadratic Formula	x(x+3)=5x+3	$x (x + 3) = 5 x + 3$
183559	Multiply	(x^2-5x-6)/(x^2+9x+8)*(x+8)/(x+6)	$\frac{x^{2} - 5 x - 6}{x^{2} + 9 x + 8} \cdot \frac{x + 8}{x + 6}$
183560	Find the Function	f(x)=\|x-1\|	$f (x) = \| x - 1 \|$
183561	Find f(g(x))	f(x)=2x^2-5x+10 g(x)=-2x-3	$f (x) = 2 x^{2} - 5 x + 10$ $g (x) = - 2 x - 3$
183562	Simplify	-12*(8-2i)	$- 12 \cdot (8 - 2 i)$
183563	Solve the System of Equations	3x-y+z=-3 -2x+y-2z=8 -4x+3y-z=6	$3 x - y + z = - 3$ $- 2 x + y - 2 z = 8$ $- 4 x + 3 y - z = 6$
183564	Simplify	3(x-7)+4(x^2-2x+9)	$3 (x - 7) + 4 (x^{2} - 2 x + 9)$
183565	Find g(f(x))	f(x)=2x g(x)=2x	$f (x) = 2 x$ $g (x) = 2 x$
183566	Solve the Absolute Value Inequality for x	\|4x-3\|=17	$\| 4 x - 3 \| = 17$
183567	Solve for x	3 natural log of 2+ natural log of 8=2 natural log of 4x	$3 \ln (2) + \ln (8) = 2 \ln (4 x)$ ?
183568	Graph	log base 2 of 3x-1=2	$\log_{2} (3 x - 1) = 2$
183569	Solve for w	-5=7+w/-2	$- 5 = 7 + \frac{w}{- 2}$
183570	Solve for x	4x-5d=-2x-4c	$4 x - 5 d = - 2 x - 4 c$
183571	Solve the System of Equations	y=4/7x 2/3x=y+5/7	$y = \frac{4}{7} x$ $\frac{2}{3} x = y + \frac{5}{7}$
183572	Solve the Rational Equation for x	3/(6x)-(5x)/(10x^3)=4/(x^2)	$\frac{3}{6 x} - \frac{5 x}{10 x^{3}} = \frac{4}{x^{2}}$
183573	Simplify	1/2*5	$\frac{1}{2} \cdot 5$
183574	Solve for b	f(x)=1/4x^2+bx+10	$f (x) = \frac{1}{4} x^{2} + b x + 10$
183575	Factor	9x^2-12x+4=0	$9 x^{2} - 12 x + 4 = 0$
183576	Solve for x	9^x=27^2	$9^{x} = 27^{2}$
183577	Evaluate	tan(pi/4)^2	$\tan^{2} (\frac{π}{4})$
183578	Simplify	2(2-5t)+t^2(t-1)-(t^4-1)	$2 (2 - 5 t) + t^{2} (t - 1) - (t^{4} - 1)$
183579	Solve for c	x=b-cd ; for c	$x = b - c d$ ; for $c$
183580	Evaluate	(-15/23)+(-19/23)	$(- \frac{15}{23}) + (- \frac{19}{23})$
183581	Evaluate	1-pi/4	$1 - \frac{π}{4}$
183582	Graph	y<-1/6x+3 y<x-4	$y < - \frac{1}{6} x + 3$ $y < x - 4$
183583	Solve for x	2x-yi=14+12i	$2 x - y i = 14 + 12 i$
183584	Simplify	2/((-1/x)^2-7)	$\frac{2}{{(- \frac{1}{x})}^{2} - 7}$
183585	Simplify	(x^3-3x^2)/(x+8)*(x^2-64)/(x^2-11x+24)	$\frac{x^{3} - 3 x^{2}}{x + 8} \cdot \frac{x^{2} - 64}{x^{2} - 11 x + 24}$
183586	Graph	-3>=x	$- 3 \geq x$
183587	Find All Complex Solutions	sin(theta)+1=1	$\sin (θ) + 1 = 1$
183588	Evaluate	4 square root of -5^2-3^2	$4 \sqrt{- 5^{2} - 3^{2}}$
183589	Solve the Inequality for x	-7>=13-5x	$- 7 \geq 13 - 5 x$
183590	Write in Standard Form	5y=2x	$5 y = 2 x$
183591	Solve the Inequality for x	-2x+3>3(2x-1)	$- 2 x + 3 > 3 (2 x - 1)$
183592	Simplify	((2a)/(9b)-b/(2a))/(a/(3b^2)+1/(2b))	$\frac{\frac{2 a}{9 b} - \frac{b}{2 a}}{\frac{a}{3 b^{2}} + \frac{1}{2 b}}$
183593	Find All Complex Solutions	-19x+18=-19x+18	$- 19 x + 18 = - 19 x + 18$
183594	Solve for n	1/(n-4)+2/(n-2)=2/(n^2-6n+8)	$\frac{1}{n - 4} + \frac{2}{n - 2} = \frac{2}{n^{2} - 6 n + 8}$
183595	Multiply	(6ab+5c)(6ab-5c)	$(6 a b + 5 c) (6 a b - 5 c)$
183596	Graph	y>-2x+3 or y>=3x-2	$y > - 2 x + 3$ or $y \geq 3 x - 2$
183597	Graph	f(x)=x^4+x^3-x^2-x ?	$f (x) = x^{4} + x^{3} - x^{2} - x$ ?
183598	Graph	0=f(x)	$0 = f (x)$
183599	Factor	x^4+2x^2y^2+y^4	$x^{4} + 2 x^{2} y^{2} + y^{4}$
183600	Write in Standard Form	8+3y=-2x	$8 + 3 y = - 2 x$