Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184701	Graph	y=9-\|2x+3\|	$y = 9 - \| 2 x + 3 \|$
184702	Simplify	(x/(2w))^6	${(\frac{x}{2 w})}^{6}$
184703	Simplify	(1/x-1/3)/(1/3-x/9)	$\frac{\frac{1}{x} - \frac{1}{3}}{\frac{1}{3} - \frac{x}{9}}$
184704	Evaluate	8t+1+(-4t)+(-6)	$8 t + 1 + (- 4 t) + (- 6)$
184705	Divide	(9+ square root of 2)/(4- square root of 7)	$\frac{9 + \sqrt{2}}{4 - \sqrt{7}}$
184706	Find the Product	(a^2x+by^2)^2	${(a^{2} x + b y^{2})}^{2}$
184707	Find the Function	f(x)=1/2x+3	$f (x) = \frac{1}{2} x + 3$
184708	Graph	y>-3 and y<=-x	$y > - 3$ and $y \leq - x$
184709	Solve the Inequality for x	\|4-4x\|<=3	$\| 4 - 4 x \| \leq 3$
184710	Simplify	(x-(x^2)/3)/(x/3-3/x)	$\frac{x - \frac{x^{2}}{3}}{\frac{x}{3} - \frac{3}{x}}$
184711	Divide	5 1/4÷(3/10)	$5 \frac{1}{4} \div \frac{3}{10}$
184712	Write in Slope-Intercept Form	(-8,-2) and (-4,6)	$(- 8, - 2)$ and $(- 4, 6)$
184713	Find the x and y Intercepts	y+9=-3x	$y + 9 = - 3 x$
184714	Graph	graph y=-2x+5	graph $y = - 2 x + 5$
184715	Solve the Absolute Value Inequality for k	\|-8k\|=24	$\| - 8 k \| = 24$
184716	Solve the Inequality for x	6(2x-1)>=3(4x+1)	$6 (2 x - 1) \geq 3 (4 x + 1)$
184717	Evaluate Using the Given Value	3+11t-9u when t=9 and u=11	$3 + 11 t - 9 u$ when $t = 9$ and $u = 11$
184718	Solve the Inequality for x	x/4>=1-x/8	$\frac{x}{4} \geq 1 - \frac{x}{8}$
184719	Graph	y<x+4 y<=-2x-2	$y < x + 4$ $y \leq - 2 x - 2$
184720	Evaluate	f(x)=(3/4)^0	$f (x) = {(\frac{3}{4})}^{0}$
184721	Solve for n	n*0.11(n-1)+35=3n	$n \cdot 0.11 (n - 1) + 35 = 3 n$
184722	Simplify	(x-4)/(2x)+(2x+3)/(2x-3)	$\frac{x - 4}{2 x} + \frac{2 x + 3}{2 x - 3}$
184723	Solve for y	4/(y-2)+7/(y+3)=3	$\frac{4}{y - 2} + \frac{7}{y + 3} = 3$
184724	Simplify	(x/(3x-9))/((x+2)/(x^2-9))	$\frac{\frac{x}{3 x - 9}}{\frac{x + 2}{x^{2} - 9}}$
184725	Find the Roots (Zeros)	f(x)=(x^2-4x+4)/(x^2-x-2)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{2} - x - 2}$
184726	Write in Slope-Intercept Form	x-3y>=6	$x - 3 y \geq 6$
184727	Solve for x	5-4(3x+1)=1+4(2x+20)	$5 - 4 (3 x + 1) = 1 + 4 (2 x + 20)$
184728	Solve the Inequality for x	(x^2-1)/x<0	$\frac{x^{2} - 1}{x} < 0$
184729	Simplify the Radical Expression	(5x^4y^3)^(2/9)	${(5 x^{4} y^{3})}^{\frac{2}{9}}$
184730	Write in Standard Form	(6c^2-2c-1)+(-4c^2+7c+5)	$(6 c^{2} - 2 c - 1) + (- 4 c^{2} + 7 c + 5)$
184731	Divide	((4x)/(2x-1))÷((3x+2)/(x+5))	$\frac{4 x}{2 x - 1} \div \frac{3 x + 2}{x + 5}$
184732	Solve for x	9=x square root of 3	$9 = x \sqrt{3}$
184733	Graph	(2,(5pi)/6)	$(2, \frac{5 π}{6})$
184734	Graph	f(x)=x(x^2-4)	$f (x) = x (x^{2} - 4)$
184735	Evaluate	(15÷3)^2+9÷3	${(15 \div 3)}^{2} + 9 \div 3$
184736	Solve for x	3/(x+1)-8/(x^2+x)=-(5x)/(x+1)	$\frac{3}{x + 1} - \frac{8}{x^{2} + x} = - \frac{5 x}{x + 1}$
184737	Simplify	1/2x-x	$\frac{1}{2} x - x$
184738	Graph	(9,1)	$(9, 1)$
184739	Solve the Inequality for x	(1/3)^(x+4)>=(1/9)^x	${(\frac{1}{3})}^{x + 4} \geq {(\frac{1}{9})}^{x}$
184740	Find the Exact Value	(3+1/4)-(2+1/6)	$(3 + \frac{1}{4}) - (2 + \frac{1}{6})$
184741	Simplify	14y+22-15y^2+23y	$14 y + 22 - 15 y^{2} + 23 y$
184742	Solve the System of Equations	-1/3x+1/2y=14 2x+1/5y=-4/5	$- \frac{1}{3} x + \frac{1}{2} y = 14$ $2 x + \frac{1}{5} y = - \frac{4}{5}$
184743	Divide	((a+b)^9)/((a+b)^4)	$\frac{{(a + b)}^{9}}{{(a + b)}^{4}}$
184744	Simplify	(4 square root of 5)/( square root of 6)	$\frac{4 \sqrt{5}}{\sqrt{6}}$
184745	Find the Holes in the Graph	(5x-20)/(x^2-9x+20)	$\frac{5 x - 20}{x^{2} - 9 x + 20}$
184746	Simplify	square root of 28* square root of 27* square root of 5	$\sqrt{28} \cdot \sqrt{27} \cdot \sqrt{5}$
184747	Solve for k	4e^(3k)+1=85	$4 e^{3 k} + 1 = 85$
184748	Graph Using a Table of Values	y=2 square root of x	$y = 2 \sqrt{x}$
184749	Solve the Inequality for x	x^2+2x+4>0	$x^{2} + 2 x + 4 > 0$
184750	Simplify	(x^3+y^3)/(x^2-y^2)	$\frac{x^{3} + y^{3}}{x^{2} - y^{2}}$
184751	Find the Product	(m+n)(m-n)	$(m + n) (m - n)$
184752	Solve for x	x=x^3	$x = x^{3}$
184753	Solve the Inequality for x	x+9>15	$x + 9 > 15$
184754	Find a,b,c	x^2+2x+1=5x+6	$x^{2} + 2 x + 1 = 5 x + 6$
184755	Find the Inverse	f(x)=(x+1)/(4x)	$f (x) = \frac{x + 1}{4 x}$
184756	Solve the Inequality for x	d-cx>a	$d - c x > a$
184757	Graph	Graph y=2x-7	Graph $y = 2 x - 7$
184758	Simplify	(7x)/(x^2-5x)+(x^2)/(x-5)	$\frac{7 x}{x^{2} - 5 x} + \frac{x^{2}}{x - 5}$
184759	Solve the Absolute Value Inequality for x	\|1/2x+5\|=13	$\| \frac{1}{2} x + 5 \| = 13$
184760	Factor	4(x-y)-2(x-y)^2	$4 (x - y) - 2 {(x - y)}^{2}$
184761	Simplify	((49x^2-25)/(2x^2+x-21))÷((7x+5)/(4x-12))	$\frac{49 x^{2} - 25}{2 x^{2} + x - 21} \div \frac{7 x + 5}{4 x - 12}$
184762	Simplify	((5x^5y^3z^-2)/(10xy^5z^4))^-2	${(\frac{5 x^{5} y^{3} z^{- 2}}{10 x y^{5} z^{4}})}^{- 2}$
184763	Solve for x	2x^2-8x+4=3x+7	$2 x^{2} - 8 x + 4 = 3 x + 7$
184764	Divide	((3x)^12)/((3x)^4)	$\frac{{(3 x)}^{12}}{{(3 x)}^{4}}$
184765	Solve the System of Equations	x^3+2x^2-y-1=0 , 2-y+x-x^2=0	$x^{3} + 2 x^{2} - y - 1 = 0$ , $2 - y + x - x^{2} = 0$
184766	Find the Discriminant	2x^2+4X+3=0	$2 x^{2} + 4 X + 3 = 0$
184767	Simplify	(8r^2-7r-9)+(-r^2+r)	$(8 r^{2} - 7 r - 9) + (- r^{2} + r)$
184768	Solve for x	6x^2-2x+36=5x^2+10x	$6 x^{2} - 2 x + 36 = 5 x^{2} + 10 x$
184769	Convert to a Decimal	25deg	$25$ degrees
184770	Evaluate	3(-x)^2	$3 {(- x)}^{2}$
184771	Simplify	(4+i)/(8i)	$\frac{4 + i}{8 i}$
184772	Solve for x	log base x+3 of 2x^2+9=2	$\log_{x + 3} (2 x^{2} + 9) = 2$
184773	Find the Distance Between Two Points	(4 square root of 2, square root of 5) and (- square root of 2,5 square root of 5)	$(4 \sqrt{2}, \sqrt{5})$ and $(- \sqrt{2}, 5 \sqrt{5})$
184774	Find the Exact Value	(1/2)^0	${(\frac{1}{2})}^{0}$
184775	Write in Slope-Intercept Form	y-3=0	$y - 3 = 0$
184776	Solve for x	(9x)/(x-3)+1=1/(x^2-3x)	$\frac{9 x}{x - 3} + 1 = \frac{1}{x^{2} - 3 x}$
184777	Multiply	-1/2*-1/2	$\frac{- 1}{2} \cdot \frac{- 1}{2}$
184778	Solve for x	x/(x+2)+1/(x-1)=3/2	$\frac{x}{x + 2} + \frac{1}{x - 1} = \frac{3}{2}$
184779	Solve the Absolute Value Inequality for x	\|-3x\|=18	$\| - 3 x \| = 18$
184780	Solve the Inequality for x	2x^2<-x+10	$2 x^{2} < - x + 10$
184781	Solve for θ	cos(theta)=-1/( square root of 2)	$\cos (θ) = - \frac{1}{\sqrt{2}}$
184782	Solve for h	-5.6=h/5+12.2	$- 5.6 = \frac{h}{5} + 12.2$
184783	Write in Slope-Intercept Form	x-y>5	$x - y > 5$
184784	Solve the Inequality for x	5(6+3x)+7>=127	$5 (6 + 3 x) + 7 \geq 127$
184785	Find the Domain and Range	y=\|x^2-4\|	$y = \| x^{2} - 4 \|$
184786	Solve for x	e^x+e^(-x)=2	$e^{x} + e^{- x} = 2$
184787	Solve the System of Equations	y=x+4 y=-3/2x-6	$y = x + 4$ $y = - \frac{3}{2} x - 6$
184788	Graph	y< = square root of x-5+3	$y \leq \sqrt{x - 5} + 3$
184789	Solve for y	-(3y+8-(-15+6y-(-3y+2)-(5y+4))-29)=-5	$- (3 y + 8 - (- 15 + 6 y - (- 3 y + 2) - (5 y + 4)) - 29) = - 5$
184790	Solve for x	1/( square root of 2+x- square root of 2-x)+1/( square root of 2+x+ square root of 2-x)=1	$\frac{1}{\sqrt{2 + x} - \sqrt{2 - x}} + \frac{1}{\sqrt{2 + x} + \sqrt{2 - x}} = 1$
184791	Solve for x	5=15x-12y	$5 = 15 x - 12 y$
184792	Simplify	log of x^2- log of x	$\log (x^{2}) - \log (x)$
184793	Simplify	6 square root of 3x^2+x square root of 108	$6 \sqrt{3 x^{2}} + x \sqrt{108}$
184794	Evaluate	12x-2(4x-7(x-2)+3)	$12 x - 2 (4 x - 7 (x - 2) + 3)$
184795	Graph	y>=-1/2x	$y \geq - \frac{1}{2} x$
184796	Simplify	(1-4/(x^2))/(2+4/x)	$\frac{1 - \frac{4}{x^{2}}}{2 + \frac{4}{x}}$
184797	Simplify	(4x^4+3x^3+2x^2-x+1)+(5x^2-2x+3)	$(4 x^{4} + 3 x^{3} + 2 x^{2} - x + 1) + (5 x^{2} - 2 x + 3)$
184798	Solve for r	r^2=0	$r^{2} = 0$
184799	Find the Product	(2 square root of 7+3 square root of 6)(5 square root of 2+4 square root of 3)	$(2 \sqrt{7} + 3 \sqrt{6}) (5 \sqrt{2} + 4 \sqrt{3})$
184800	Simplify	(x+2)/(x^2+14x+49)*(x^2+6x-7)/(x^2+x-2)	$\frac{x + 2}{x^{2} + 14 x + 49} \cdot \frac{x^{2} + 6 x - 7}{x^{2} + x - 2}$