Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193901	Solve the Absolute Value Inequality for k	\|5k+4\|>=36	$\| 5 k + 4 \| \geq 36$
193902	Find the Inverse	f(x)=(2x-4)	$f (x) = (2 x - 4)$
193903	Evaluate Using the Given Value	3x^2-1 when x=2	$3 x^{2} - 1$ when $x = 2$
193904	Multiply	(x^2+x)(x^2)	$(x^{2} + x) (x^{2})$
193905	Simplify	3/8+1/8-1/3+1/4	$\frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4}$
193906	Multiply	-x^2*(-x^2)	$- x^{2} \cdot (- x^{2})$
193907	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-50=0	$2 x^{2} - 50 = 0$
193908	Solve for x	-3x^2=12x+12	$- 3 x^{2} = 12 x + 12$
193909	Solve the Rational Equation for x	(x+2)/8=3/4	$\frac{x + 2}{8} = \frac{3}{4}$
193910	Simplify	((n+3)/(n+2))÷(((n-1)(n+3))/((n-1)^2))	$\frac{n + 3}{n + 2} \div \frac{(n - 1) (n + 3)}{{(n - 1)}^{2}}$
193911	Solve the System of Equations	x+3z=-1 y-2z=6 4x+3y=20	$x + 3 z = - 1$ $y - 2 z = 6$ $4 x + 3 y = 20$
193912	Solve for x	4cos(x)=-sin(x)^2+1	$4 \cos (x) = - \sin^{2} (x) + 1$
193913	Solve for x	-8-9x=9(1/2x-3)+1/2x	$- 8 - 9 x = 9 (\frac{1}{2} x - 3) + \frac{1}{2} x$
193914	Solve for θ	csc(theta)=-1	$\csc (θ) = - 1$
193915	Solve for x	square root of x-4+4=x	$\sqrt{x - 4} + 4 = x$
193916	Find the Distance Between Two Points	(-9,-2) and (-1,0)	$(- 9, - 2)$ and $(- 1, 0)$
193917	Factor	3(7x+2)^2-5(7x+2)(3x-8)	$3 {(7 x + 2)}^{2} - 5 (7 x + 2) (3 x - 8)$
193918	Evaluate	(x+1/x)^2	${(x + \frac{1}{x})}^{2}$
193919	Find the End Behavior	f(x)=-1008-186x+71x^2+4x^3-x^4	$f (x) = - 1008 - 186 x + 71 x^{2} + 4 x^{3} - x^{4}$
193920	Solve for y	2 1/2=1 2/3÷y	$2 \frac{1}{2} = 1 \frac{2}{3} \div y$
193921	Find the Exact Value	(-2^3)^-2	${(- 2^{3})}^{- 2}$
193922	Solve the Absolute Value Inequality for x	\|x+10\|=4x-8	$\| x + 10 \| = 4 x - 8$
193923	Solve by Factoring	x^2-6x+8>0	$x^{2} - 6 x + 8 > 0$
193924	Evaluate	-3+(4-2(6-3+4(5-7))+3)	$- 3 + (4 - 2 (6 - 3 + 4 (5 - 7)) + 3)$
193925	Simplify	7x+(x-(5+x))	$7 x + (x - (5 + x))$
193926	Factor	1-a^2-9n^2-6 an	$1 - a^{2} - 9 n^{2} - 6$ an
193927	Reduce	5x-11y-9+20x-1-y	$5 x - 11 y - 9 + 20 x - 1 - y$
193928	Simplify	(-2x^2+4x)/(-2x+4)	$\frac{- 2 x^{2} + 4 x}{- 2 x + 4}$
193929	Simplify	(25x^2)/(2(x+3))*2/(5x)	$\frac{25 x^{2}}{2 (x + 3)} \cdot \frac{2}{5 x}$
193930	Solve for x	3/(x+2)-1/(x^2-x-6)=5/(x-3)	$\frac{3}{x + 2} - \frac{1}{x^{2} - x - 6} = \frac{5}{x - 3}$
193931	Solve for a	(x^(1/2))^3 square root of x^3=x^a	${(x^{\frac{1}{2}})}^{3} \sqrt{x^{3}} = x^{a}$
193932	Find the Quotient	(x^3+8)÷(x+2) ?	$(x^{3} + 8) \div (x + 2)$ ?
193933	Factor	6-x^4-x^2	$6 - x^{4} - x^{2}$
193934	Graph	y-3x^2+6x=5	$y - 3 x^{2} + 6 x = 5$
193935	Simplify	((200+35x)/x)÷((250+40x)/x)	$\frac{200 + 35 x}{x} \div \frac{250 + 40 x}{x}$
193936	Graph	8x-4y=-16 3x+15y=-6	$8 x - 4 y = - 16$ $3 x + 15 y = - 6$
193937	Evaluate	-1/2+-1/2	$- \frac{1}{2} + - \frac{1}{2}$
193938	Solve for w	-23=13w+2w+22	$- 23 = 13 w + 2 w + 22$
193939	Find the End Behavior	f(x)=-1152-90x^3+216x^2+288x+9x^4	$f (x) = - 1152 - 90 x^{3} + 216 x^{2} + 288 x + 9 x^{4}$
193940	Solve for r	Fg=(GM_1M_2)/(r^2)	$F g = \frac{G M_{1} M_{2}}{r^{2}}$
193941	Determine if Linear	y=4x(8-x)	$y = 4 x (8 - x)$
193942	Multiply	(cos(theta))/(csc(theta)-1)*(csc(theta)+1)/(csc(theta)+1)	$\frac{\cos (θ)}{\csc (θ) - 1} \cdot \frac{\csc (θ) + 1}{\csc (θ) + 1}$
193943	Find All Complex Solutions	1/(c-3)-1/c=3/(c(c-3))	$\frac{1}{c - 3} - \frac{1}{c} = \frac{3}{c (c - 3)}$
193944	Graph	2x<=7	$2 x \leq 7$
193945	Rationalize the Denominator	( square root of x- square root of x+h)/(h square root of x square root of x+h)	$\frac{\sqrt{x} - \sqrt{x + h}}{h \sqrt{x} \sqrt{x + h}}$
193946	Solve the Inequality for x	6-8x+3<=-9x+7-x	$6 - 8 x + 3 \leq - 9 x + 7 - x$
193947	Factor by Grouping	6ax+3a^2-4bx-2ab	$6 a x + 3 a^{2} - 4 b x - 2 a b$
193948	Solve for y	10y+7-4y=-5+6y+22	$10 y + 7 - 4 y = - 5 + 6 y + 22$
193949	Solve for x₂	m=(x_1+x_2)/2	$m = \frac{x_{1} + x_{2}}{2}$
193950	Find the End Behavior	f(x)=-156x+44x^2-4x^3+180	$f (x) = - 156 x + 44 x^{2} - 4 x^{3} + 180$
193951	Divide Using Long Polynomial Division	40x^2+31x-33 by 5x+7	$40 x^{2} + 31 x - 33$ by $5 x + 7$
193952	Solve for y	2/3y-4=x	$\frac{2}{3} y - 4 = x$
193953	Convert to Interval Notation	-8x-10<-6x+2<=-8x+4	$- 8 x - 10 < - 6 x + 2 \leq - 8 x + 4$
193954	Solve the Inequality for x	x^2>-9	$x^{2} > - 9$
193955	Subtract	1 1/4-1/2	$1 \frac{1}{4} - \frac{1}{2}$
193956	Solve the Inequality for x	10^x>100^(-2x-5)	$10^{x} > 100^{- 2 x - 5}$
193957	Graph	-9<=-3x-6<=6	$- 9 \leq - 3 x - 6 \leq 6$
193958	Simplify	(5x+2y)(x^2-3xy+6)	$(5 x + 2 y) (x^{2} - 3 x y + 6)$
193959	Divide	((32x^3y)/(y^8))÷((y^7)/(8x^4))	$\frac{32 x^{3} y}{y^{8}} \div \frac{y^{7}}{8 x^{4}}$
193960	Graph	y=2f(x-4)	$y = 2 f (x - 4)$
193961	Solve for x	5x-(12+x)=-13	$5 x - (12 + x) = - 13$
193962	Solve the Inequality for x	x^2-8x<-12	$x^{2} - 8 x < - 12$
193963	Solve for x	9pi=pix	$9 π = π x$
193964	Solve by Factoring	(x-4)^2-9=0	${(x - 4)}^{2} - 9 = 0$
193965	Find the Exact Value	1/2+1/6	$\frac{1}{2} + \frac{1}{6}$
193966	Graph	y=1/4sec(x)	$y = \frac{1}{4} \sec (x)$
193967	Solve for c	square root of 2c+1- square root of 4c=0	$\sqrt{2 c + 1} - \sqrt{4 c} = 0$
193968	Solve for f	7f+g=5 ; for f	$7 f + g = 5$ ; for $f$
193969	Simplify	(5+w)*5	$(5 + w) \cdot 5$
193970	Write in Standard Form	1/3x+8x^4-2/3x^2-x	$\frac{1}{3} x + 8 x^{4} - \frac{2}{3} x^{2} - x$
193971	Graph	3x^2-6x-4=-2/(x+3)+1	$3 x^{2} - 6 x - 4 = - \frac{2}{x + 3} + 1$
193972	Solve the Inequality for x	2x^2+5x>12	$2 x^{2} + 5 x > 12$
193973	Solve for a	ab-3a=5	$a b - 3 a = 5$
193974	Simplify	6^2-(5-4)+(2(8-2^2))÷8	$6^{2} - (5 - 4) + 2 (8 - 2^{2}) \div 8$
193975	Find the Product	(y^3)^2*y^7	${(y^{3})}^{2} \cdot y^{7}$
193976	Solve for x	-3(x-4)<=9+x	$- 3 (x - 4) \leq 9 + x$
193977	Solve the Inequality for x	-3<x+2<7	$- 3 < x + 2 < 7$
193978	Solve for Z	x=2/3(Y-Z)	$x = \frac{2}{3} (Y - Z)$
193979	Solve for x	-28x+6=-3(1+7x)-7x	$- 28 x + 6 = - 3 (1 + 7 x) - 7 x$
193980	Solve for x	square root of x-1 = square root of x-5	$\sqrt{x} - 1 = \sqrt{x - 5}$
193981	Solve the Inequality for w	(w+3)/2<-8	$\frac{w + 3}{2} < - 8$
193982	Subtract	(5x-1)-(3xy+c)	$(5 x - 1) - (3 x y + c)$
193983	Solve for x	6-2x-1=4x+8-6x-3	$6 - 2 x - 1 = 4 x + 8 - 6 x - 3$
193984	Evaluate	-1/2*2^(8-1)	$- \frac{1}{2} \cdot 2^{8 - 1}$
193985	Solve for x	1+3x-x=x-4+2x	$1 + 3 x - x = x - 4 + 2 x$
193986	Evaluate	sin(x)=-( square root of 3)/2	$\sin (x) = - \frac{\sqrt{3}}{2}$
193987	Evaluate	5x-14=8x+4	$5 x - 14 = 8 x + 4$
193988	Solve the Inequality for w	-7w>49	$- 7 w > 49$
193989	Solve the Inequality for x	-x<=-2-(4x+6)-5/2x	$- x \leq - 2 - (4 x + 6) - \frac{5}{2} x$
193990	Solve for y	6(y-5)=2(10+3y)	$6 (y - 5) = 2 (10 + 3 y)$
193991	Solve for x	20^(9x-2)<=20^(3x+10)	$20^{9 x - 2} \leq 20^{3 x + 10}$
193992	Solve for θ	sin(theta)=-3/5	$\sin (θ) = - \frac{3}{5}$
193993	Find the Distance Between Two Points	(3,-6) and (-1,1)	$(3, - 6)$ and $(- 1, 1)$
193994	Find All Complex Solutions	5sin(x)=-2cos(x)^2+4	$5 \sin (x) = - 2 \cos^{2} (x) + 4$
193995	Solve for x	3x-2/3x=14	$3 x - \frac{2}{3} x = 14$
193996	Solve for x	f(x)=2x-4	$f (x) = 2 x - 4$
193997	Find the Roots (Zeros)	h(x)=x^4+x^3-6x^2	$h (x) = x^{4} + x^{3} - 6 x^{2}$
193998	Evaluate	17-(28÷4)+5^2	$17 - (28 \div 4) + 5^{2}$
193999	Solve for x	9x-18=3(3x-2)-12	$9 x - 18 = 3 (3 x - 2) - 12$
194000	Find the Perpendicular Line	(1,9) and perpendicular to 3x+7y=1	$(1, 9)$ and perpendicular to $3 x + 7 y = 1$