Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177401	Graph	y>3x+2 and y<2x+3	$y > 3 x + 2$ and $y < 2 x + 3$
177402	Simplify	(3x^2-30x+75)/(x^2-9x+20)	$\frac{3 x^{2} - 30 x + 75}{x^{2} - 9 x + 20}$
177403	Simplify	13x+4-8+6x-13x-4	$13 x + 4 - 8 + 6 x - 13 x - 4$
177404	Write in Standard Form	5x^2+7+3x=-3x	$5 x^{2} + 7 + 3 x = - 3 x$
177405	Write in Standard Form	y=(x+2)^2-4	$y = {(x + 2)}^{2} - 4$
177406	Write in Standard Form	y=x^2+10x-13	$y = x^{2} + 10 x - 13$
177407	Find the Holes in the Graph	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
177408	Find the x and y Intercepts	f(x) = cube root of x-1	$f (x) = \sqrt[3]{x - 1}$
177409	Find the Product	(10uv^2)/(3xy^2)*(6x^2y^2)/(5u^2v^2)	$\frac{10 u v^{2}}{3 x y^{2}} \cdot \frac{6 x^{2} y^{2}}{5 u^{2} v^{2}}$
177410	Evaluate	(x^2+5)^2+5	${(x^{2} + 5)}^{2} + 5$
177411	Solve for x	3^3=(3^2)^(2x+1)	$3^{3} = {(3^{2})}^{2 x + 1}$
177412	Divide	1/23/4	$\frac{1}{2} \cdot \frac{3}{4}$
177413	Simplify	2-(x+1)/(x-3)	$2 - \frac{x + 1}{x - 3}$
177414	Solve for j	1/j+1/(j+21)=1/14	$\frac{1}{j} + \frac{1}{j + 21} = \frac{1}{14}$
177415	Graph	y<=2x-6 y<=-1/2x-1	$y \leq 2 x - 6$ $y \leq - \frac{1}{2} x - 1$
177416	Write in Standard Form	4x-x^2=-20-3x^2	$4 x - x^{2} = - 20 - 3 x^{2}$
177417	Simplify	fourth root of (5x^8y^3)/(27x^2)	$\sqrt[4]{\frac{5 x^{8} y^{3}}{27 x^{2}}}$
177418	Write as a Single Logarithm	-5 log base 2 of x+1+3 log base 2 of 6x	$- 5 \log_{2} (x + 1) + 3 \log_{2} (6 x)$
177419	Find the Inverse	F(x)=4/(2-x)	$F (x) = \frac{4}{2 - x}$
177420	Solve the System of Equations	x-3y=6 -x+3y=-6	$x - 3 y = 6$ $- x + 3 y = - 6$
177421	Multiply	(3x^2)(-x^3y)(-a^2x)	$(3 x^{2}) (- x^{3} y) (- a^{2} x)$
177422	Simplify	- square root of 4- square root of -49+ square root of 49+ square root of -64	$- \sqrt{4} - \sqrt{- 49} + \sqrt{49} + \sqrt{- 64}$
177423	Solve Using the Quadratic Formula	f(x)=x^2-3x+2	$f (x) = x^{2} - 3 x + 2$
177424	Rationalize the Denominator	5/( cube root of 5)	$\frac{5}{\sqrt[3]{5}}$
177425	Solve for x	x/(x+3)+8=9/(x^2+3x)	$\frac{x}{x + 3} + 8 = \frac{9}{x^{2} + 3 x}$
177426	Find the Domain and Range	f(x)=5/2 square root of -(x-6)	$f (x) = \frac{5}{2} \sqrt{- (x - 6)}$
177427	Find the Exact Value	3h(2)+4g(1)	$3 h (2) + 4 g (1)$
177428	Convert to Meters	5cm	$5 cm$
177429	Determine if Parallel	9x-6y=-20 and -3y=2x-11	$9 x - 6 y = - 20$ and $- 3 y = 2 x - 11$
177430	Solve for y	3(2y+4)=4(2y-1/2)	$3 (2 y + 4) = 4 (2 y - \frac{1}{2})$
177431	Solve the System of Inequalities	-60<=-5x-10 or -5x-10>=-70	$- 60 \leq - 5 x - 10$ or $- 5 x - 10 \geq - 70$
177432	Find the x and y Intercepts	f(x)=2x(x-2)^2(4x-2)^2	$f (x) = 2 x {(x - 2)}^{2} {(4 x - 2)}^{2}$
177433	Solve for x	1/(4x)+1/(9x)=1/2	$\frac{1}{4 x} + \frac{1}{9 x} = \frac{1}{2}$
177434	Solve for x	x-(x+3)/(x+8)=5/(x+8)	$x - \frac{x + 3}{x + 8} = \frac{5}{x + 8}$
177435	Simplify	(e^(2x)-1)/(e^x-1)	$\frac{e^{2 x} - 1}{e^{x} - 1}$
177436	Simplify	1/5(4m+20)	$\frac{1}{5} (4 m + 20)$
177437	Solve the System of Equations	-10/3x+1/8y=-87/8 7/10x-4y=301/10	$- \frac{10}{3} x + \frac{1}{8} y = - \frac{87}{8}$ $\frac{7}{10} x - 4 y = \frac{301}{10}$
177438	Find the Domain and Range	-x^4+x^3+9x	$- x^{4} + x^{3} + 9 x$
177439	Solve for a	x^(3/5)x^(1/2)=x^a	$x^{\frac{3}{5}} x^{\frac{1}{2}} = x^{a}$
177440	Solve for x	12x=13-x^2	$12 x = 13 - x^{2}$
177441	Solve for j	2/5(10j-25+15j)-3/2(6j-4)=-2j	$\frac{2}{5} (10 j - 25 + 15 j) - \frac{3}{2} (6 j - 4) = - 2 j$
177442	Solve for x	x^4-4=0	$x^{4} - 4 = 0$
177443	Graph	y>=-x^2-1	$y \geq - x^{2} - 1$
177444	Graph	y=(-x^2)/20	$y = \frac{- x^{2}}{20}$
177445	Solve for j	1/6(3/2j-4)+j=2/3j	$\frac{1}{6} (\frac{3}{2} j - 4) + j = \frac{2}{3} j$
177446	Simplify	(-2x+y-4)-(-3x-2y)	$(- 2 x + y - 4) - (- 3 x - 2 y)$
177447	Find the Domain and Range	f(x)=x/(x^2-2x)	$f (x) = \frac{x}{x^{2} - 2 x}$
177448	Solve for x	x-7/(x-5)=x/(x-5)	$x - \frac{7}{x - 5} = \frac{x}{x - 5}$
177449	Write in Standard Form	(2r+3)^2+(r+4)^2=10	${(2 r + 3)}^{2} + {(r + 4)}^{2} = 10$
177450	Solve for x	e^x+xe^x=0	$e^{x} + x e^{x} = 0$
177451	Solve the System of Equations	y=2x+3 and 2y+2x=-6	$y = 2 x + 3$ and $2 y + 2 x = - 6$
177452	Solve for k	2^(3k-1)*2^(5k-7)=16	$2^{3 k - 1} \cdot 2^{5 k - 7} = 16$
177453	Find the Function	f(x)=-3x^2+3	$f (x) = - 3 x^{2} + 3$
177454	Graph	y>=-x+2 y>1/3x+6	$y \geq - x + 2$ $y > \frac{1}{3} x + 6$
177455	Find the Product	(a+b+c)^2	${(a + b + c)}^{2}$
177456	Evaluate	natural log of x=4	$\ln (x) = 4$
177457	Solve for x	1/(x+2)+1/(x-2)=4/(x^2-4)	$\frac{1}{x + 2} + \frac{1}{x - 2} = \frac{4}{x^{2} - 4}$
177458	Simplify	square root of 25- square root of -25- square root of 36- square root of -4	$\sqrt{25} - \sqrt{- 25} - \sqrt{36} - \sqrt{- 4}$
177459	Solve for x	x+x/(x-7)=7/(x-7)	$x + \frac{x}{x - 7} = \frac{7}{x - 7}$
177460	Solve for x	x-5/(x-1)=1/(x-1)	$x - \frac{5}{x - 1} = \frac{1}{x - 1}$
177461	Evaluate Using the Given Value	8-m/n+p^2 when m=8 , n=2 , p=7	$8 - \frac{m}{n} + p^{2}$ when $m = 8$ , $n = 2$ , $p = 7$
177462	Graph	y<=x-5 y<-1/2x-2	$y \leq x - 5$ $y < - \frac{1}{2} x - 2$
177463	Solve for x	3x^2+5=-2x	$3 x^{2} + 5 = - 2 x$
177464	Solve for x	square root of x-1 = square root of x-4	$\sqrt{x} - 1 = \sqrt{x - 4}$
177465	Solve for c	2c^2+4c=9	$2 c^{2} + 4 c = 9$
177466	Simplify	6y square root of 25x^3y^3	$6 y \sqrt{25 x^{3} y^{3}}$
177467	Graph	F(x)=-1/3x^4+7x^2+15x	$F (x) = - \frac{1}{3} x^{4} + 7 x^{2} + 15 x$
177468	Solve the Inequality for a	14<-2a+6-2a	$14 < - 2 a + 6 - 2 a$
177469	Solve for x	x-(3x+2)/(x+6)=(2x)/(x+6)	$x - \frac{3 x + 2}{x + 6} = \frac{2 x}{x + 6}$
177470	Factor	(x^2-6x)	$(x^{2} - 6 x)$
177471	Graph Using a Table of Values	g(x)=(5/8)^x	$g (x) = {(\frac{5}{8})}^{x}$
177472	Simplify	19-(1-4x)-9x+30	$19 - (1 - 4 x) - 9 x + 30$
177473	Solve for x	9(8-x)=3x	$9 (8 - x) = 3 x$
177474	Solve for θ	cos(theta)^2=3/4	$\cos^{2} (θ) = \frac{3}{4}$
177475	Find the Exact Value	fourth root of 32	$\sqrt[4]{32}$
177476	Simplify	1/( square root of 3- square root of 2)	$\frac{1}{\sqrt{3} - \sqrt{2}}$
177477	Simplify	( square root of 32a)/( square root of 2a)	$\frac{\sqrt{32 a}}{\sqrt{2 a}}$
177478	Simplify	(wc^7)(-8w^3c^5)	$(w c^{7}) (- 8 w^{3} c^{5})$
177479	Evaluate	(-i)^2	${(- i)}^{2}$
177480	Evaluate	25% of 60	$25 %$ of $60$
177481	Combine Like Terms	4m-2+(-8m)	$4 m - 2 + (- 8 m)$
177482	Simplify	(32x^3y)/(5xy^2)*(15y)/(8x^2y^4)	$\frac{32 x^{3} y}{5 x y^{2}} \cdot \frac{15 y}{8 x^{2} y^{4}}$
177483	Solve for h	2h-8=h+17	$2 h - 8 = h + 17$
177484	Solve for x	2 square root of 9x-6=10-2 square root of x	$2 \sqrt{9 x} - 6 = 10 - 2 \sqrt{x}$
177485	Solve for x	5+4/(x^2+2x)=x/(x+2)	$5 + \frac{4}{x^{2} + 2 x} = \frac{x}{x + 2}$
177486	Simplify	(5x^4+3x^6-5+7x^5)-(7-3x^5+8x^6+9x^4)	$(5 x^{4} + 3 x^{6} - 5 + 7 x^{5}) - (7 - 3 x^{5} + 8 x^{6} + 9 x^{4})$
177487	Solve for k	3/(k-3)+4/(k-4)=25/(k^2-7k+12)	$\frac{3}{k - 3} + \frac{4}{k - 4} = \frac{25}{k^{2} - 7 k + 12}$
177488	Simplify	(2^3)÷(5^2)	$2^{3} \div 5^{2}$
177489	Evaluate	sec(x)-cos(x)	$\sec (x) - \cos (x)$
177490	Simplify	(1-(9x^2+4)/(12x))÷(1/(3x)-1/2)+1	$(1 - \frac{9 x^{2} + 4}{12 x}) \div (\frac{1}{3 x} - \frac{1}{2}) + 1$
177491	Graph	y>=\|x\|-3	$y \geq \| x \| - 3$
177492	Graph	y>=-1/3x+8 y<5/3x-4	$y \geq - \frac{1}{3} x + 8$ $y < \frac{5}{3} x - 4$
177493	Solve the Absolute Value Inequality for x	\|4x-1\|=2x+13	$\| 4 x - 1 \| = 2 x + 13$
177494	Write in Standard Form	y=(x+4)^2-1	$y = {(x + 4)}^{2} - 1$
177495	Solve the System of Equations	y=x^2+5x-3 y-x=2	$y = x^{2} + 5 x - 3$ $y - x = 2$
177496	Solve the Inequality for x	x^2-6x+9>=0	$x^{2} - 6 x + 9 \geq 0$
177497	Simplify	(x+iy)^2	${(x + i y)}^{2}$
177498	Solve for x	4-9x=3-10x-(7-x)	$4 - 9 x = 3 - 10 x - (7 - x)$
177499	Solve the Inequality for x	-6+8(6x+2)<7x+10	$- 6 + 8 (6 x + 2) < 7 x + 10$
177500	Solve for H	F=MGH	$F = M G H$