Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170001	Solve Using the Quadratic Formula	1/4u^2+1/3u=-1/8	$\frac{1}{4} u^{2} + \frac{1}{3} u = - \frac{1}{8}$
170002	Find q(r(x))	q(x)=x^2+9 r(x) = square root of x+8	$q (x) = x^{2} + 9$ $r (x) = \sqrt{x + 8}$
170003	Solve for u	5(u+1)-u=3(u-1)+7	$5 (u + 1) - u = 3 (u - 1) + 7$
170004	Simplify	(4-10i)/(-9-4i)	$\frac{4 - 10 i}{- 9 - 4 i}$
170005	Graph	24x+25=-6y+7	$24 x + 25 = - 6 y + 7$
170006	Graph Using a Table of Values	f(x)=x-4	$f (x) = x - 4$
170007	Write in Standard Form	x-11=-5x^2	$x - 11 = - 5 x^{2}$
170008	Determine if Perpendicular	3y=4x+15 and 9x+12y=12	$3 y = 4 x + 15$ and $9 x + 12 y = 12$
170009	Graph Using a Table of Values	y=(1/6)^x	$y = {(\frac{1}{6})}^{x}$
170010	Solve for y	y^2-x^2+1=50	$y^{2} - x^{2} + 1 = 50$
170011	Solve the Inequality for x	(x+8)/(x-1)>=-2	$\frac{x + 8}{x - 1} \geq - 2$
170012	Graph	1<=s-8	$1 \leq s - 8$
170013	Solve for θ	cos(theta)=1/( square root of 2)	$\cos (θ) = \frac{1}{\sqrt{2}}$
170014	Solve the Inequality for x	x/(x-10)-2/8>=1	$\frac{x}{x - 10} - \frac{2}{8} \geq 1$
170015	Simplify	(r^-3s^2t)^4	${(r^{- 3} s^{2} t)}^{4}$
170016	Factor	(x-1)^2+(x-1)+4	${(x - 1)}^{2} + (x - 1) + 4$
170017	Solve the Inequality for x	2(4x-3)<=5x-27	$2 (4 x - 3) \leq 5 x - 27$
170018	Simplify	5 square root of 9- square root of -64	$5 \sqrt{9} - \sqrt{- 64}$
170019	Simplify	2x(x^2)	$2 x (x^{2})$
170020	Evaluate	2/3pi	$\frac{2}{3} π$
170021	Graph	f(x)>-x^2	$f (x) > - x^{2}$
170022	Solve for x	e^(3x-1)=2^x	$e^{3 x - 1} = 2^{x}$
170023	Solve for x	x/(2x-1)+3/(x+4)=21/(2x^2+7x-4)	$\frac{x}{2 x - 1} + \frac{3}{x + 4} = \frac{21}{2 x^{2} + 7 x - 4}$
170024	Simplify	square root of 6/x* square root of (x^2)/24	$\sqrt{\frac{6}{x}} \cdot \sqrt{\frac{x^{2}}{24}}$
170025	Solve the Inequality for x	\|2x+5\|<=11	$\| 2 x + 5 \| \leq 11$
170026	Solve the Inequality for n	n/3>3	$\frac{n}{3} > 3$
170027	Subtract	1/3-(-5/3)	$\frac{1}{3} - (- \frac{5}{3})$
170028	Solve for x	5x+14=k for x	$5 x + 14 = k$ for $x$
170029	Solve for a	((2xy)^4)/(4xy)=4x^ay^b	$\frac{{(2 x y)}^{4}}{4 x y} = 4 x^{a} y^{b}$
170030	Solve for x	1/128=2^(5x+3)	$\frac{1}{128} = 2^{5 x + 3}$
170031	Solve the System of Inequalities	x+1>=3 or 4/3x<-8	$x + 1 \geq 3$ or $\frac{4}{3} x < - 8$
170032	Solve for m	4m+2n=5n	$4 m + 2 n = 5 n$
170033	Evaluate	12-(9-2)+3*6	$12 - (9 - 2) + 3 \cdot 6$
170034	Solve for x	4 cube root of 2x+1=20	$4 \sqrt[3]{2 x + 1} = 20$
170035	Solve the System of Equations	8x+y=-13 -8x-2y=10	$8 x + y = - 13$ $- 8 x - 2 y = 10$
170036	Solve the Inequality for x	-6<x+1	$- 6 < x + 1$
170037	Solve the Inequality for y	3y-1>-1+6y	$3 y - 1 > - 1 + 6 y$
170038	Simplify	((3x+6)/(x^2-9))÷((6x^2+12x)/(4x+12))	$\frac{3 x + 6}{x^{2} - 9} \div \frac{6 x^{2} + 12 x}{4 x + 12}$
170039	Solve for F	34+23F>=175	$34 + 23 F \geq 175$
170040	Solve for x	square root of 3x = square root of x+6	$\sqrt{3 x} = \sqrt{x + 6}$
170041	Simplify	-a+b+2b-2c+3a+2c-3b	$- a + b + 2 b - 2 c + 3 a + 2 c - 3 b$
170042	Find the GCF	9m^3-27m	$9 m^{3} - 27 m$
170043	Find the Function	f(x)=1/2x	$f (x) = \frac{1}{2} x$
170044	Solve for u	-12u+3=8v+1	$- 12 u + 3 = 8 v + 1$
170045	Graph	y=-1/2cos(2x)	$y = - \frac{1}{2} \cos (2 x)$
170046	Solve for r	-r+3-1/9r=2r+1-8/9r	$- r + 3 - \frac{1}{9} r = 2 r + 1 - \frac{8}{9} r$
170047	Evaluate	log base 1/2 of 1/32	$\log_{\frac{1}{2}} (\frac{1}{32})$
170048	Graph	f(x) = square root of x^2	$f (x) = \sqrt{x^{2}}$
170049	Evaluate	1*2^1	$1 \cdot 2^{1}$
170050	Write in Exponential Form	log base (x-5) of 5x-8=x	$\log_{(x - 5)} (5 x - 8) = x$
170051	Simplify	( square root of 2+ square root of 3)/( square root of 6)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{6}}$
170052	Solve the Inequality for x	3x+9<0	$3 x + 9 < 0$
170053	Solve for x	4/(x^2-8x+12)=x/(x-2)+1/(x-6)	$\frac{4}{x^{2} - 8 x + 12} = \frac{x}{x - 2} + \frac{1}{x - 6}$
170054	Find the Inverse	f(x)=4/(-x-2)+2	$f (x) = \frac{4}{- x - 2} + 2$
170055	Simplify	(-8x)/(3x+5)-(-9x)/(3x+5)	$\frac{- 8 x}{3 x + 5} - \frac{- 9 x}{3 x + 5}$
170056	Factor	4x^2+12x=0	$4 x^{2} + 12 x = 0$
170057	Evaluate	(2/3)÷(2^4)+(3/4+1/6)÷(1/3)	$\frac{2}{3} \div 2^{4} + (\frac{3}{4} + \frac{1}{6}) \div \frac{1}{3}$
170058	Solve for x	32^(x/5)=(1/16)^(4x-3)	$32^{\frac{x}{5}} = {(\frac{1}{16})}^{4 x - 3}$
170059	Graph	x+3y>6 y>=2x+4	$x + 3 y > 6$ $y \geq 2 x + 4$
170060	Solve the Inequality for x	-5/2(3x+4)<6-3x	$- \frac{5}{2} (3 x + 4) < 6 - 3 x$
170061	Graph	y<=1/3x	$y \leq \frac{1}{3} x$
170062	Evaluate	(5^-1)/(-9^0)	$\frac{5^{- 1}}{- 9^{0}}$
170063	Simplify	((y+1)^5)/((y+1)^2)	$\frac{{(y + 1)}^{5}}{{(y + 1)}^{2}}$
170064	Solve Using the Quadratic Formula	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
170065	Find p(q(x))	p(x)=x^2+6 q(x) = square root of x+9	$p (x) = x^{2} + 6$ $q (x) = \sqrt{x + 9}$
170066	Simplify	(3b)/(4a^2)+1/(8a)-(5b^2)/(6a^3)	$\frac{3 b}{4 a^{2}} + \frac{1}{8 a} - \frac{5 b^{2}}{6 a^{3}}$
170067	Factor	32x^4+24x^3-16x^2-8x	$32 x^{4} + 24 x^{3} - 16 x^{2} - 8 x$
170068	Find the x and y Intercepts	2x-3y	$2 x - 3 y$
170069	Solve for w	A=l*w	$A = l \cdot w$
170070	Solve the Inequality for x	19>=-2x+5>11	$19 \geq - 2 x + 5 > 11$
170071	Solve for x	square root of 2x- square root of 36-2x=6	$\sqrt{2 x} - \sqrt{36 - 2 x} = 6$
170072	Graph	g(x)=-f(x)-1	$g (x) = - f (x) - 1$
170073	Solve Using the Quadratic Formula	(x+3)/5=2/x	$\frac{x + 3}{5} = \frac{2}{x}$
170074	Solve Using the Quadratic Formula	2x-3=1-2x+x^2	$2 x - 3 = 1 - 2 x + x^{2}$
170075	Find the Domain and Range	square root of x^2+4	$\sqrt{x^{2} + 4}$
170076	Simplify	(7x)/6-(8x)/6	$\frac{7 x}{6} - \frac{8 x}{6}$
170077	Evaluate	f(10)=1/2x^2+2x-5	$f (10) = \frac{1}{2} x^{2} + 2 x - 5$
170078	Find the Remainder	(-4x^4+3x^2+12-11x^3)÷(-x^2-2x+3)	$(- 4 x^{4} + 3 x^{2} + 12 - 11 x^{3}) \div (- x^{2} - 2 x + 3)$
170079	Solve the Inequality for x	10x+16>=6x+20	$10 x + 16 \geq 6 x + 20$
170080	Graph	6x+1<8x+7<6x+9	$6 x + 1 < 8 x + 7 < 6 x + 9$
170081	Evaluate	2*(7(3^2))/3	$2 \cdot \frac{7 (3^{2})}{3}$
170082	Solve the System of Inequalities	-21>=-3x-3 or -27<-3x-3	$- 21 \geq - 3 x - 3$ or $- 27 < - 3 x - 3$
170083	Graph	f(x)=(x+5)(x+1)^2(x-1)	$f (x) = (x + 5) {(x + 1)}^{2} (x - 1)$
170084	Solve the Inequality for a	2(a-8)>=-2a	$2 (a - 8) \geq - 2 a$
170085	Find the Domain and Range	f(x)=-4+ square root of 3x-12	$f (x) = - 4 + \sqrt{3 x - 12}$
170086	Solve for h	-3(8+3h)=5h+4	$- 3 (8 + 3 h) = 5 h + 4$
170087	Factor	(1-x)+5c(1-x)	$(1 - x) + 5 c (1 - x)$
170088	Solve Using the Quadratic Formula	x+1/x=5	$x + \frac{1}{x} = 5$
170089	Solve for x	x(x+8)=-20	$x (x + 8) = - 20$
170090	Graph	f(x)=f(-x)	$f (x) = f (- x)$
170091	Simplify	(xy^6)/(xy^8)	$\frac{x y^{6}}{x y^{8}}$
170092	Solve for x	(2pi)/x=pi	$\frac{2 π}{x} = π$
170093	Write in Standard Form	5x^2+x+20=2x^2	$5 x^{2} + x + 20 = 2 x^{2}$
170094	Factor	-12x^2yz^2-48x^4y^3z^3	$- 12 x^{2} y z^{2} - 48 x^{4} y^{3} z^{3}$
170095	Find the Holes in the Graph	f(x)=(3x^2-48)/(x^2-4x)	$f (x) = \frac{3 x^{2} - 48}{x^{2} - 4 x}$
170096	Solve for x	log base 5 of 6x+ log base 5 of 4=5	$\log_{5} (6 x) + \log_{5} (4) = 5$
170097	Find the First Term	a_n=3n+5	$a_{n} = 3 n + 5$
170098	Solve for x	square root of 8x-1 = square root of 3-4x	$\sqrt{8 x - 1} = \sqrt{3 - 4 x}$
170099	Find the LCD	6/(2w^2-6w-20) , (6w)/(2w^2-14w-36)	$\frac{6}{2 w^{2} - 6 w - 20}$ , $\frac{6 w}{2 w^{2} - 14 w - 36}$
170100	Simplify	(12 square root of 2)÷2 square root of 6	$12 \sqrt{2} \div 2 \sqrt{6}$