Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179601	Solve the System of Equations	3x-y=10 2x+3y=3	$3 x - y = 10$ $2 x + 3 y = 3$
179602	Graph	{x\|x<-3}	${x \| x < - 3}$
179603	Solve for x	2*4^(3x-6)-8=120	$2 \cdot 4^{3 x - 6} - 8 = 120$
179604	Find the x and y Intercepts	(-x+5)(-x-2)=y	$(- x + 5) (- x - 2) = y$
179605	Graph	y=\|x^2-4x+3\|	$y = \| x^{2} - 4 x + 3 \|$
179606	Solve the Inequality for x	x^2-3x-54<0	$x^{2} - 3 x - 54 < 0$
179607	Divide	(x^3+2x^2+x+6)/(x+2)	$\frac{x^{3} + 2 x^{2} + x + 6}{x + 2}$
179608	Solve the Inequality for x	2(x-15)>=x/2	$2 (x - 15) \geq \frac{x}{2}$
179609	Graph	y=-1/2(x-3)^2+5	$y = - \frac{1}{2} {(x - 3)}^{2} + 5$
179610	Simplify	3x square root of 12+3 square root of 3x^2	$3 x \sqrt{12} + 3 \sqrt{3 x^{2}}$
179611	Find the x and y Intercepts	R(x)=(x^2)/(x^2-x-20)	$R (x) = \frac{x^{2}}{x^{2} - x - 20}$
179612	Solve for x	6x-4=8(2+1/4x)	$6 x - 4 = 8 (2 + \frac{1}{4} x)$
179613	Graph	y=- square root of 1-x^2	$y = - \sqrt{1 - x^{2}}$
179614	Evaluate	(-3x)^2	${(- 3 x)}^{2}$
179615	Graph	y>=((x-5)(x-3))/(x-5)	$y \geq \frac{(x - 5) (x - 3)}{x - 5}$
179616	Solve for z	(2z)/(z-2)+3/(z-4)=1	$\frac{2 z}{z - 2} + \frac{3}{z - 4} = 1$
179617	Solve the System of Equations	2x-3y=4 x+y=3	$2 x - 3 y = 4$ $x + y = 3$
179618	Write in Standard Form	(3x-1)(x^2+4x-5)	$(3 x - 1) (x^{2} + 4 x - 5)$
179619	Solve for x	square root of a=(x+b^2)/(3c)	$\sqrt{a} = \frac{x + b^{2}}{3 c}$
179620	Simplify	8x^3y^2 square root of 25x^7y^4	$8 x^{3} y^{2} \sqrt{25 x^{7} y^{4}}$
179621	Graph Using a Table of Values	y=x^2-3x	$y = x^{2} - 3 x$
179622	Graph	y = square root of 2x-x^2	$y = \sqrt{2 x - x^{2}}$
179623	Solve the Inequality for x	x-3<2	$x - 3 < 2$
179624	Solve for x	(3x)/(x-1)+2=3/(x-1)	$\frac{3 x}{x - 1} + 2 = \frac{3}{x - 1}$
179625	Solve Using the Quadratic Formula	4(x^2-10)-7=-3	$4 (x^{2} - 10) - 7 = - 3$
179626	Evaluate	1000(0.5)^(70/30)	$1000 {(0.5)}^{\frac{70}{30}}$
179627	Solve the System of Inequalities	0<x+7<9	$0 < x + 7 < 9$
179628	Write the Fraction in Simplest Form	1/3+1/2	$\frac{1}{3} + \frac{1}{2}$
179629	Solve for x	1/2(4x-5)+5/2=10	$\frac{1}{2} (4 x - 5) + \frac{5}{2} = 10$
179630	Solve for x	3=x/(y-z)	$3 = \frac{x}{y - z}$
179631	Graph Using a Table of Values	f(x)=-(1/3)^(-x)	$f (x) = - {(\frac{1}{3})}^{- x}$
179632	Convert to a Decimal	-3 11/16	$- 3 \frac{11}{16}$
179633	Find the Sum and Product of the Roots of the Quadratic Equation	3x^2+5x+6=0	$3 x^{2} + 5 x + 6 = 0$
179634	Simplify	((-3r^4s^7)/r)^2	${(\frac{- 3 r^{4} s^{7}}{r})}^{2}$
179635	Graph Using a Table of Values	Y=1/2x-5	$Y = \frac{1}{2} x - 5$
179636	Find the Exact Value	(5^2)^3	${(5^{2})}^{3}$
179637	Factor	x^4+5x^3+5x^2-5x-6	$x^{4} + 5 x^{3} + 5 x^{2} - 5 x - 6$
179638	Solve for m	7/x-3/2=(n-mx)/(px)	$\frac{7}{x} - \frac{3}{2} = \frac{n - m x}{p x}$
179639	Solve the Inequality for x	(x+5)/(x+4)<=0	$\frac{x + 5}{x + 4} \leq 0$
179640	Evaluate	(2^(-4/3))/(54^(-4/3))	$\frac{2^{- \frac{4}{3}}}{54^{- \frac{4}{3}}}$
179641	Determine if Perpendicular	y=-4 and y=7	$y = - 4$ and $y = 7$
179642	Solve for n	4n-1=6n+8-8n+15	$4 n - 1 = 6 n + 8 - 8 n + 15$
179643	Simplify	(6^3)/6	$\frac{6^{3}}{6}$
179644	Evaluate	5/(2x-4)+2/(x+3)=3/(x-2)	$\frac{5}{2 x - 4} + \frac{2}{x + 3} = \frac{3}{x - 2}$
179645	Find the Roots (Zeros)	x(x^2-1)=0	$x (x^{2} - 1) = 0$
179646	Write in Standard Form	10x+2x^2+13=4+3x	$10 x + 2 x^{2} + 13 = 4 + 3 x$
179647	Find the Domain and Range	y=2/3+x	$y = \frac{2}{3} + x$
179648	Evaluate	log of 3+ log of 4	$\log (3) + \log (4)$
179649	Solve for x	(3x+3)(x+2)=2	$(3 x + 3) (x + 2) = 2$
179650	Factor	4a-20+5a^2-a^3	$4 a - 20 + 5 a^{2} - a^{3}$
179651	Find g(f(x))	f(x)=3x^2-x-8 g(x)=x+5	$f (x) = 3 x^{2} - x - 8$ $g (x) = x + 5$
179652	Simplify	1/(-4i)	$\frac{1}{- 4 i}$
179653	Evaluate	pi-0	$π - 0$
179654	Solve the System of Equations	y=2x+54 y=8x	$y = 2 x + 54$ $y = 8 x$
179655	Simplify	(4x^4y^-3z*6x^-3y^5z^2)/(3x^-5y^8z^3)	$\frac{4 x^{4} y^{- 3} z \cdot 6 x^{- 3} y^{5} z^{2}}{3 x^{- 5} y^{8} z^{3}}$
179656	Evaluate	30% of 40	$30 %$ of $40$
179657	Evaluate	(x+9)(x-9)	$(x + 9) (x - 9)$
179658	Solve for x	(2x+1)/x=1/(x-2)	$\frac{2 x + 1}{x} = \frac{1}{x - 2}$
179659	Write in Standard Form	4x+x^2+16=-4x^2	$4 x + x^{2} + 16 = - 4 x^{2}$
179660	Find the Roots (Zeros)	x^2-8x-22=-10	$x^{2} - 8 x - 22 = - 10$
179661	Solve for x	x^x=x	$x^{x} = x$
179662	Find f(g(x))	f(x)=5x+8 g(x)=x^2+7x-2	$f (x) = 5 x + 8$ $g (x) = x^{2} + 7 x - 2$
179663	Simplify	5/6x-5/12x-1/3+1/4x+1/12	$\frac{5}{6} x - \frac{5}{12} x - \frac{1}{3} + \frac{1}{4} x + \frac{1}{12}$
179664	Simplify	(4x^2-y^5)^2	${(4 x^{2} - y^{5})}^{2}$
179665	Solve the Inequality for x	(3x+1)/(x+4)<=1	$\frac{3 x + 1}{x + 4} \leq 1$
179666	Solve the System of Inequalities	-9<4x+3<=11	$- 9 < 4 x + 3 \leq 11$
179667	Find the Equation of the Circle	center (-4,-3) , r=5	center $(- 4, - 3)$ , $r = 5$
179668	Simplify the Radical Expression	4/( square root of 2)	$\frac{4}{\sqrt{2}}$
179669	Multiply	3x*4x^2	$3 x \cdot 4 x^{2}$
179670	Solve for x	x-7/(x+7)=x/(x+7)	$x - \frac{7}{x + 7} = \frac{x}{x + 7}$
179671	Solve for x	square root of 3x-4=2 square root of x-5	$\sqrt{3 x - 4} = 2 \sqrt{x - 5}$
179672	Solve for x	2 square root of x+7=5	$2 \sqrt{x} + 7 = 5$
179673	Solve the Absolute Value Inequality for x	\|x-7\|<8	$\| x - 7 \| < 8$
179674	Solve Using the Quadratic Formula	5x^2-3x+10=2x^2	$5 x^{2} - 3 x + 10 = 2 x^{2}$
179675	Simplify	(i)(-7i)	$(i) (- 7 i)$
179676	Solve for u	(3u+4)/4=(u-7)/3	$\frac{3 u + 4}{4} = \frac{u - 7}{3}$
179677	Find the Exact Value	-\|-4\|	$- \| - 4 \|$
179678	Solve for x	k(x)=6x-12 , k(x)=18	$k (x) = 6 x - 12$ , $k (x) = 18$
179679	Solve the Inequality for x	x^2+4x-5<=0	$x^{2} + 4 x - 5 \leq 0$
179680	Solve for x	3/(x-6)=1/(x-1)+7/((x-1)(x-6))	$\frac{3}{x - 6} = \frac{1}{x - 1} + \frac{7}{(x - 1) (x - 6)}$
179681	Simplify	(45x^2)/(60x^2y)	$\frac{45 x^{2}}{60 x^{2} y}$
179682	Find the Function	f(x)=x^2+2x+3	$f (x) = x^{2} + 2 x + 3$
179683	Solve for x	3 square root of x+5=-9	$3 \sqrt{x + 5} = - 9$
179684	Simplify	(3x+2y)/(x^2+3xy-10y^2)-(5x+y)/(x^2+4xy-5y^2)+(4x-y)/(x^2-3xy+2y^2)	$\frac{3 x + 2 y}{x^{2} + 3 x y - 10 y^{2}} - \frac{5 x + y}{x^{2} + 4 x y - 5 y^{2}} + \frac{4 x - y}{x^{2} - 3 x y + 2 y^{2}}$
179685	Solve for x	x/(x+2)+1=4/(x^2+2x)	$\frac{x}{x + 2} + 1 = \frac{4}{x^{2} + 2 x}$
179686	Solve for r	a=pir^2 for r	$a = π r^{2}$ for $r$
179687	Find All Complex Solutions	19x-18=-19x+18	$19 x - 18 = - 19 x + 18$
179688	Divide	2 3/4÷1 1/2	$2 \frac{3}{4} \div 1 \frac{1}{2}$
179689	Evaluate	(1-i)^2	${(1 - i)}^{2}$
179690	Find the Midpoint	(6,-4) and (-2,0)	$(6, - 4)$ and $(- 2, 0)$
179691	Find the Product	(7k-3)(k^2-2k+7)	$(7 k - 3) (k^{2} - 2 k + 7)$
179692	Find All Complex Solutions	(tan(theta)-1)(sec(theta)-1)=0	$(\tan (θ) - 1) (\sec (θ) - 1) = 0$
179693	Divide	2 1/3÷4 2/3	$2 \frac{1}{3} \div 4 \frac{2}{3}$
179694	Graph	x/5-3<=6	$\frac{x}{5} - 3 \leq 6$
179695	Find All Complex Solutions	cos(2x)+2cos(x)=-1	$\cos (2 x) + 2 \cos (x) = - 1$
179696	Simplify	((25x^2-49)/(3x^2+x-14))÷((5x+7)/(4x-8))	$\frac{25 x^{2} - 49}{3 x^{2} + x - 14} \div \frac{5 x + 7}{4 x - 8}$
179697	Find g(f(x))	f(x)=(x-3)/2 g(x)=2x+3	$f (x) = \frac{x - 3}{2}$ $g (x) = 2 x + 3$
179698	Solve the Absolute Value Inequality for a	7\|4a-6\|<42	$7 \| 4 a - 6 \| < 42$
179699	Solve the Inequality for x	-2(x+3)>x+6	$- 2 (x + 3) > x + 6$
179700	Find the Exact Value	tan(345 degrees )	$\tan (345 °)$