Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184701	Solve the Inequality for x	6(2x-1)>=3(4x+1)	$6 (2 x - 1) \geq 3 (4 x + 1)$
184702	Evaluate Using the Given Value	3+11t-9u when t=9 and u=11	$3 + 11 t - 9 u$ when $t = 9$ and $u = 11$
184703	Solve the Inequality for x	x/4>=1-x/8	$\frac{x}{4} \geq 1 - \frac{x}{8}$
184704	Graph	y<x+4 y<=-2x-2	$y < x + 4$ $y \leq - 2 x - 2$
184705	Evaluate	f(x)=(3/4)^0	$f (x) = {(\frac{3}{4})}^{0}$
184706	Solve for n	n*0.11(n-1)+35=3n	$n \cdot 0.11 (n - 1) + 35 = 3 n$
184707	Simplify	(x-4)/(2x)+(2x+3)/(2x-3)	$\frac{x - 4}{2 x} + \frac{2 x + 3}{2 x - 3}$
184708	Solve for y	4/(y-2)+7/(y+3)=3	$\frac{4}{y - 2} + \frac{7}{y + 3} = 3$
184709	Simplify	(x/(3x-9))/((x+2)/(x^2-9))	$\frac{\frac{x}{3 x - 9}}{\frac{x + 2}{x^{2} - 9}}$
184710	Find the Roots (Zeros)	f(x)=(x^2-4x+4)/(x^2-x-2)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{2} - x - 2}$
184711	Write in Slope-Intercept Form	x-3y>=6	$x - 3 y \geq 6$
184712	Solve for x	5-4(3x+1)=1+4(2x+20)	$5 - 4 (3 x + 1) = 1 + 4 (2 x + 20)$
184713	Solve the Inequality for x	(x^2-1)/x<0	$\frac{x^{2} - 1}{x} < 0$
184714	Simplify the Radical Expression	(5x^4y^3)^(2/9)	${(5 x^{4} y^{3})}^{\frac{2}{9}}$
184715	Write in Standard Form	(6c^2-2c-1)+(-4c^2+7c+5)	$(6 c^{2} - 2 c - 1) + (- 4 c^{2} + 7 c + 5)$
184716	Divide	((4x)/(2x-1))÷((3x+2)/(x+5))	$\frac{4 x}{2 x - 1} \div \frac{3 x + 2}{x + 5}$
184717	Solve for x	9=x square root of 3	$9 = x \sqrt{3}$
184718	Graph	(2,(5pi)/6)	$(2, \frac{5 π}{6})$
184719	Graph	f(x)=x(x^2-4)	$f (x) = x (x^{2} - 4)$
184720	Evaluate	(15÷3)^2+9÷3	${(15 \div 3)}^{2} + 9 \div 3$
184721	Solve for x	3/(x+1)-8/(x^2+x)=-(5x)/(x+1)	$\frac{3}{x + 1} - \frac{8}{x^{2} + x} = - \frac{5 x}{x + 1}$
184722	Simplify	1/2x-x	$\frac{1}{2} x - x$
184723	Graph	(9,1)	$(9, 1)$
184724	Solve the Inequality for x	(1/3)^(x+4)>=(1/9)^x	${(\frac{1}{3})}^{x + 4} \geq {(\frac{1}{9})}^{x}$
184725	Find the Exact Value	(3+1/4)-(2+1/6)	$(3 + \frac{1}{4}) - (2 + \frac{1}{6})$
184726	Simplify	14y+22-15y^2+23y	$14 y + 22 - 15 y^{2} + 23 y$
184727	Solve the System of Equations	-1/3x+1/2y=14 2x+1/5y=-4/5	$- \frac{1}{3} x + \frac{1}{2} y = 14$ $2 x + \frac{1}{5} y = - \frac{4}{5}$
184728	Divide	((a+b)^9)/((a+b)^4)	$\frac{{(a + b)}^{9}}{{(a + b)}^{4}}$
184729	Simplify	(4 square root of 5)/( square root of 6)	$\frac{4 \sqrt{5}}{\sqrt{6}}$
184730	Find the Holes in the Graph	(5x-20)/(x^2-9x+20)	$\frac{5 x - 20}{x^{2} - 9 x + 20}$
184731	Simplify	square root of 28* square root of 27* square root of 5	$\sqrt{28} \cdot \sqrt{27} \cdot \sqrt{5}$
184732	Solve for k	4e^(3k)+1=85	$4 e^{3 k} + 1 = 85$
184733	Graph Using a Table of Values	y=2 square root of x	$y = 2 \sqrt{x}$
184734	Solve the Inequality for x	x^2+2x+4>0	$x^{2} + 2 x + 4 > 0$
184735	Simplify	(x^3+y^3)/(x^2-y^2)	$\frac{x^{3} + y^{3}}{x^{2} - y^{2}}$
184736	Find the Product	(m+n)(m-n)	$(m + n) (m - n)$
184737	Solve for x	x=x^3	$x = x^{3}$
184738	Solve the Inequality for x	x+9>15	$x + 9 > 15$
184739	Find a,b,c	x^2+2x+1=5x+6	$x^{2} + 2 x + 1 = 5 x + 6$
184740	Find the Inverse	f(x)=(x+1)/(4x)	$f (x) = \frac{x + 1}{4 x}$
184741	Solve the Inequality for x	d-cx>a	$d - c x > a$
184742	Graph	Graph y=2x-7	Graph $y = 2 x - 7$
184743	Simplify	(7x)/(x^2-5x)+(x^2)/(x-5)	$\frac{7 x}{x^{2} - 5 x} + \frac{x^{2}}{x - 5}$
184744	Solve the Absolute Value Inequality for x	\|1/2x+5\|=13	$\| \frac{1}{2} x + 5 \| = 13$
184745	Factor	4(x-y)-2(x-y)^2	$4 (x - y) - 2 {(x - y)}^{2}$
184746	Simplify	((49x^2-25)/(2x^2+x-21))÷((7x+5)/(4x-12))	$\frac{49 x^{2} - 25}{2 x^{2} + x - 21} \div \frac{7 x + 5}{4 x - 12}$
184747	Simplify	((5x^5y^3z^-2)/(10xy^5z^4))^-2	${(\frac{5 x^{5} y^{3} z^{- 2}}{10 x y^{5} z^{4}})}^{- 2}$
184748	Solve for x	2x^2-8x+4=3x+7	$2 x^{2} - 8 x + 4 = 3 x + 7$
184749	Divide	((3x)^12)/((3x)^4)	$\frac{{(3 x)}^{12}}{{(3 x)}^{4}}$
184750	Solve the System of Equations	x^3+2x^2-y-1=0 , 2-y+x-x^2=0	$x^{3} + 2 x^{2} - y - 1 = 0$ , $2 - y + x - x^{2} = 0$
184751	Find the Discriminant	2x^2+4X+3=0	$2 x^{2} + 4 X + 3 = 0$
184752	Simplify	(8r^2-7r-9)+(-r^2+r)	$(8 r^{2} - 7 r - 9) + (- r^{2} + r)$
184753	Solve for x	6x^2-2x+36=5x^2+10x	$6 x^{2} - 2 x + 36 = 5 x^{2} + 10 x$
184754	Convert to a Decimal	25deg	$25$ degrees
184755	Evaluate	3(-x)^2	$3 {(- x)}^{2}$
184756	Simplify	(4+i)/(8i)	$\frac{4 + i}{8 i}$
184757	Solve for x	log base x+3 of 2x^2+9=2	$\log_{x + 3} (2 x^{2} + 9) = 2$
184758	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 $(- \sqrt{2}, 5 \sqrt{5})$
184759	Find the Exact Value	(1/2)^0	${(\frac{1}{2})}^{0}$
184760	Write in Slope-Intercept Form	y-3=0	$y - 3 = 0$
184761	Solve for x	(9x)/(x-3)+1=1/(x^2-3x)	$\frac{9 x}{x - 3} + 1 = \frac{1}{x^{2} - 3 x}$
184762	Multiply	-1/2*-1/2	$\frac{- 1}{2} \cdot \frac{- 1}{2}$
184763	Solve for x	x/(x+2)+1/(x-1)=3/2	$\frac{x}{x + 2} + \frac{1}{x - 1} = \frac{3}{2}$
184764	Solve the Absolute Value Inequality for x	\|-3x\|=18	$\| - 3 x \| = 18$
184765	Solve the Inequality for x	2x^2<-x+10	$2 x^{2} < - x + 10$
184766	Solve for θ	cos(theta)=-1/( square root of 2)	$\cos (θ) = - \frac{1}{\sqrt{2}}$
184767	Solve for h	-5.6=h/5+12.2	$- 5.6 = \frac{h}{5} + 12.2$
184768	Write in Slope-Intercept Form	x-y>5	$x - y > 5$
184769	Solve the Inequality for x	5(6+3x)+7>=127	$5 (6 + 3 x) + 7 \geq 127$
184770	Find the Domain and Range	y=\|x^2-4\|	$y = \| x^{2} - 4 \|$
184771	Solve for x	e^x+e^(-x)=2	$e^{x} + e^{- x} = 2$
184772	Solve the System of Equations	y=x+4 y=-3/2x-6	$y = x + 4$ $y = - \frac{3}{2} x - 6$
184773	Graph	y< = square root of x-5+3	$y \leq \sqrt{x - 5} + 3$
184774	Solve for y	-(3y+8-(-15+6y-(-3y+2)-(5y+4))-29)=-5	$- (3 y + 8 - (- 15 + 6 y - (- 3 y + 2) - (5 y + 4)) - 29) = - 5$
184775	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	$\frac{1}{\sqrt{2 + x} - \sqrt{2 - x}} + \frac{1}{\sqrt{2 + x} + \sqrt{2 - x}} = 1$
184776	Solve for x	5=15x-12y	$5 = 15 x - 12 y$
184777	Simplify	log of x^2- log of x	$\log (x^{2}) - \log (x)$
184778	Simplify	6 square root of 3x^2+x square root of 108	$6 \sqrt{3 x^{2}} + x \sqrt{108}$
184779	Evaluate	12x-2(4x-7(x-2)+3)	$12 x - 2 (4 x - 7 (x - 2) + 3)$
184780	Graph	y>=-1/2x	$y \geq - \frac{1}{2} x$
184781	Simplify	(1-4/(x^2))/(2+4/x)	$\frac{1 - \frac{4}{x^{2}}}{2 + \frac{4}{x}}$
184782	Simplify	(4x^4+3x^3+2x^2-x+1)+(5x^2-2x+3)	$(4 x^{4} + 3 x^{3} + 2 x^{2} - x + 1) + (5 x^{2} - 2 x + 3)$
184783	Solve for r	r^2=0	$r^{2} = 0$
184784	Find the Product	(2 square root of 7+3 square root of 6)(5 square root of 2+4 square root of 3)	$(2 \sqrt{7} + 3 \sqrt{6}) (5 \sqrt{2} + 4 \sqrt{3})$
184785	Simplify	(x+2)/(x^2+14x+49)*(x^2+6x-7)/(x^2+x-2)	$\frac{x + 2}{x^{2} + 14 x + 49} \cdot \frac{x^{2} + 6 x - 7}{x^{2} + x - 2}$
184786	Solve the System of Inequalities	-3<4x-9<11	$- 3 < 4 x - 9 < 11$
184787	Simplify	7/(7^(1/3))	$\frac{7}{7^{\frac{1}{3}}}$
184788	Factor	2x^3-3x^2+1	$2 x^{3} - 3 x^{2} + 1$
184789	Divide	12 5/8÷3 19/24	$12 \frac{5}{8} \div 3 \frac{19}{24}$
184790	Evaluate Using the Given Value	15/r-1 when r=5	$\frac{15}{r} - 1$ when $r = 5$
184791	Evaluate	square root of (- square root of 3)^2+(-1)^2	$\sqrt{{(- \sqrt{3})}^{2} + {(- 1)}^{2}}$
184792	Simplify	(2x+3)/(-(3+2x))	$\frac{2 x + 3}{- (3 + 2 x)}$
184793	Solve Using the Quadratic Formula	15x^4-11x^2+2=0	$15 x^{4} - 11 x^{2} + 2 = 0$
184794	Find the Focus	x=-1/4(y+2)^2	$x = - \frac{1}{4} {(y + 2)}^{2}$
184795	Simplify	(-x^2+x)+(4x^2-x-1)	$(- x^{2} + x) + (4 x^{2} - x - 1)$
184796	Find the x and y Intercepts	f(x)=(x^2-4)(5-x)	$f (x) = (x^{2} - 4) (5 - x)$
184797	Simplify	square root of 1/(x-1)	$\sqrt{\frac{1}{x - 1}}$
184798	Solve the Inequality for x	x+6<=8	$x + 6 \leq 8$
184799	Solve for x	a/3=2/5x-1	$\frac{a}{3} = \frac{2}{5} x - 1$
184800	Simplify	(-3x^2+13x-12)/(2x^2-x-15)	$\frac{- 3 x^{2} + 13 x - 12}{2 x^{2} - x - 15}$