Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187601	Solve the Rational Equation for x	3/(x-1)=4/(x+2)	$\frac{3}{x - 1} = \frac{4}{x + 2}$
187602	Find the Distance Between Two Points	(-3,0) and (3,7)	$(- 3, 0)$ and $(3, 7)$
187603	Graph Using a Table of Values	y=3(4)^x	$y = 3 {(4)}^{x}$
187604	Simplify	-5/(-5i)	$\frac{- 5}{- 5 i}$
187605	Identify the Zeros and Their Multiplicities	p(x)=x^3+3x^2-4	$p (x) = x^{3} + 3 x^{2} - 4$
187606	Factor	(x^2+3x-4)/(x^2+4x-5)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x - 5}$
187607	Simplify	(4x^3-2x^2+8x+8)÷(2x+1)	$(4 x^{3} - 2 x^{2} + 8 x + 8) \div (2 x + 1)$
187608	Write in Slope-Intercept Form	(-6,-5) and (-4,-4)	$(- 6, - 5)$ and $(- 4, - 4)$
187609	Graph	-9<=y+5x<=14	$- 9 \leq y + 5 x \leq 14$
187610	Solve the System of Equations	x+y+z=7 x-2y+4z=11 3y+4z=17	$x + y + z = 7$ $x - 2 y + 4 z = 11$ $3 y + 4 z = 17$
187611	Find f(h(x))	f(x)=2x^3+8 h(x) = cube root of 12-5x	$f (x) = 2 x^{3} + 8$ $h (x) = \sqrt[3]{12 - 5 x}$
187612	Find the Zeros Using Descartes' Rule of Signs	f(x)=-x^4-4x^3-5x^2+2x+8	$f (x) = - x^{4} - 4 x^{3} - 5 x^{2} + 2 x + 8$
187613	Graph	p(x)=(2x^2-9x+7)(x-2)	$p (x) = (2 x^{2} - 9 x + 7) (x - 2)$
187614	Solve for x	1/x+2/(3x)-3=3	$\frac{1}{x} + \frac{2}{3 x} - 3 = 3$
187615	Evaluate	1/(e^-1)	$\frac{1}{e^{- 1}}$
187616	Graph	y=-(-x)^3+5	$y = - {(- x)}^{3} + 5$
187617	Solve for x	-x(5x-9)(x^2-1)=0	$- x (5 x - 9) (x^{2} - 1) = 0$
187618	Solve the System of Equations	2x-y+z=9 x+y-2z=-1 -x+2y+2z=-5	$2 x - y + z = 9$ $x + y - 2 z = - 1$ $- x + 2 y + 2 z = - 5$
187619	Simplify	(15h^-4k^15)/(5h^4k^5)	$\frac{15 h^{- 4} k^{15}}{5 h^{4} k^{5}}$
187620	Graph	p(x)=(x-1)^2(x-4)(2x+3)	$p (x) = {(x - 1)}^{2} (x - 4) (2 x + 3)$
187621	Graph Using a Table of Values	f(x) = square root of x+2-6	$f (x) = \sqrt{x + 2} - 6$
187622	Solve for x	(2x+7)/6+(2x+5)/42=-1	$\frac{2 x + 7}{6} + \frac{2 x + 5}{42} = - 1$
187623	Find the Inverse	f(x)=((x^5)/10)^(1/7)	$f (x) = {(\frac{x^{5}}{10})}^{\frac{1}{7}}$
187624	Simplify	10x^3 square root of 50x+8x square root of 32x^5	$10 x^{3} \sqrt{50 x} + 8 x \sqrt{32 x^{5}}$
187625	Graph	y+x>2 y<=3x-2	$y + x > 2$ $y \leq 3 x - 2$
187626	Simplify	7/2x-8.62-3/2x-2.38	$\frac{7}{2} x - 8.62 - \frac{3}{2} x - 2.38$
187627	Solve for f	if=M	$i f = M$
187628	Graph	f(x)=x+4 if x<-2; -2x+8 if x>1	$f (x) = {\begin{cases} x + 4 & x < - 2 \\ - 2 x + 8 & x > 1 \end{cases}$
187629	Simplify	((2x^3y^2)/(3xy))^-3	${(\frac{2 x^{3} y^{2}}{3 x y})}^{- 3}$
187630	Evaluate	2+5(2^2*3^2)	$2 + 5 (2^{2} \cdot 3^{2})$
187631	Find the x and y Intercepts	y=3x^5-4x^2+2	$y = 3 x^{5} - 4 x^{2} + 2$
187632	Write in Standard Form	3s(s-2)=12s	$3 s (s - 2) = 12 s$
187633	Write in Standard Form	x/4-y/3=1	$\frac{x}{4} - \frac{y}{3} = 1$
187634	Solve for x	(x-2)/2+(x-2(x-4))/6=x/3	$\frac{x - 2}{2} + \frac{x - 2 (x - 4)}{6} = \frac{x}{3}$
187635	Simplify	(x+2x^2)+(4x^2+7x)	$(x + 2 x^{2}) + (4 x^{2} + 7 x)$
187636	Simplify	6 fourth root of 32x- fourth root of 512x+ fourth root of 16x^4	$6 \sqrt[4]{32 x} - \sqrt[4]{512 x} + \sqrt[4]{16 x^{4}}$
187637	Simplify	square root of 8xy^4* square root of 2x^2y^4	$\sqrt{8 x y^{4}} \cdot \sqrt{2 x^{2} y^{4}}$
187638	Evaluate	(11!)/(2!2!2!)	$\frac{11!}{2! 2! 2!}$
187639	Graph	(negative infinity,-3) union (-3,infinity)	$(- \infty, - 3) \cup (- 3, \infty)$
187640	Evaluate	0.5-(-10.5*5)+40.5	$0.5 - (- 10.5 \cdot 5) + 40.5$
187641	Solve for x	x/(x-3)-3/(x-3)=8	$\frac{x}{x - 3} - \frac{3}{x - 3} = 8$
187642	Evaluate	1/3*(15+6)	$\frac{1}{3} \cdot (15 + 6)$
187643	Multiply	(6z^2-4z+1)(8-3z)	$(6 z^{2} - 4 z + 1) (8 - 3 z)$
187644	Convert to Logarithmic Form	f(x)=2^x	$f (x) = 2^{x}$
187645	Solve for x	9(3+4x)^2=25	$9 {(3 + 4 x)}^{2} = 25$
187646	Find the x and y Intercepts	(-4x+12)/(2x^2-x-15)	$\frac{- 4 x + 12}{2 x^{2} - x - 15}$
187647	Find the Quotient	(x^5+32)÷(x+2)	$(x^{5} + 32) \div (x + 2)$
187648	Factor	64x^4y-36x^2y	$64 x^{4} y - 36 x^{2} y$
187649	Solve for n	3+ log base 8 of -5n=6	$3 + \log_{8} (- 5 n) = 6$
187650	Find the Product	cube root of 16x^7* cube root of 12x^9	$\sqrt[3]{16 x^{7}} \cdot \sqrt[3]{12 x^{9}}$
187651	Graph	h(x)=4/3x-2 if x<0; -x+1 if x>=0	$h (x) = {\begin{cases} \frac{4}{3} x - 2 & x < 0 \\ - x + 1 & x \geq 0 \end{cases}$
187652	Find the Excluded Values	(2x^2-7x-4)/(x^2-5x+4)	$\frac{2 x^{2} - 7 x - 4}{x^{2} - 5 x + 4}$
187653	Find the Product	(x^2+1)^2	${(x^{2} + 1)}^{2}$
187654	Simplify	(7x^3-2x^2+3)+(x^2-x-5)	$(7 x^{3} - 2 x^{2} + 3) + (x^{2} - x - 5)$
187655	Solve for x	6-3(-2-4x)=2(3(x-4)+7)	$6 - 3 (- 2 - 4 x) = 2 (3 (x - 4) + 7)$
187656	Evaluate	f(x) = square root of 9	$f (x) = \sqrt{9}$
187657	Evaluate	2pi square root of 1/9.8	$2 π \sqrt{\frac{1}{9.8}}$
187658	Solve for x	x^2=8^2+6^2	$x^{2} = 8^{2} + 6^{2}$
187659	Simplify	-(27)^0	$- {(27)}^{0}$
187660	Multiply	(-3x-5)*(-3x^2+5x+5)	$(- 3 x - 5) \cdot (- 3 x^{2} + 5 x + 5)$
187661	Find f(g(x))	f(x)=4x-3 g(x)=5x^2-4	$f (x) = 4 x - 3$ $g (x) = 5 x^{2} - 4$
187662	Find the Quotient	(5x^4-3x^2+4)÷(x+1)	$(5 x^{4} - 3 x^{2} + 4) \div (x + 1)$
187663	Find the x and y Intercepts	-1	$- 1$
187664	Graph	y>=-3 and y<=-x	$y \geq - 3$ and $y \leq - x$
187665	Simplify	4k^98k^3k	$4 k^{9} \cdot 8 k^{3} \cdot k$
187666	Solve for x	square root of 3x+2=3 square root of 2x-2	$\sqrt{3 x + 2} = 3 \sqrt{2 x - 2}$
187667	Find All Complex Solutions	theta=(5pi)/4	$θ = \frac{5 π}{4}$
187668	Solve for x	1+2(x+3)^(2/3)=9	$1 + 2 {(x + 3)}^{\frac{2}{3}} = 9$
187669	Combine Like Terms	(-3x^2+9x-9)+(-9x^2+9x+3)	$(- 3 x^{2} + 9 x - 9) + (- 9 x^{2} + 9 x + 3)$
187670	Solve Using the Quadratic Formula	x^2+bx+c	$x^{2} + b x + c$
187671	Solve for r	\|2r+5\|=3r	$\| 2 r + 5 \| = 3 r$
187672	Find the Focus	x+y^2=0	$x + y^{2} = 0$
187673	Simplify	(3x^2+x-5)(2x^2+x+3)	$(3 x^{2} + x - 5) (2 x^{2} + x + 3)$
187674	Solve the Inequality for x	-4<3x+2<=5	$- 4 < 3 x + 2 \leq 5$
187675	Divide	(12m^7-8m^5+16m^4+6m^2)÷4m^3	$(12 m^{7} - 8 m^{5} + 16 m^{4} + 6 m^{2}) \div 4 m^{3}$
187676	Convert to a Decimal	320deg	$320$ degrees
187677	Graph	\|x-2\|<=4	$\| x - 2 \| \leq 4$
187678	Solve for x	x^2-16x=-64	$x^{2} - 16 x = - 64$
187679	Solve for x	4(2x-3)=3+8x-11	$4 (2 x - 3) = 3 + 8 x - 11$
187680	Solve for x	9^2+9^2=x^2	$9^{2} + 9^{2} = x^{2}$
187681	Solve the Inequality for x	x/(x+1)>3	$\frac{x}{x + 1} > 3$
187682	Factor	9z^4-2z^8+z^6	$9 z^{4} - 2 z^{8} + z^{6}$
187683	Solve the Rational Equation for x	18/(x^2-3x)=(2x)/(x-3)-6/x	$\frac{18}{x^{2} - 3 x} = \frac{2 x}{x - 3} - \frac{6}{x}$
187684	Find the Domain and Range	y=x/(x-3)	$y = \frac{x}{x - 3}$
187685	Multiply	1/3*3x	$\frac{1}{3} \cdot 3 x$
187686	Solve the Inequality for x	(x+4)(x+9)(5-x)<=0	$(x + 4) (x + 9) (5 - x) \leq 0$
187687	Solve the Inequality for m	m/5>=-5	$\frac{m}{5} \geq - 5$
187688	Graph	y=-1/2cot(1/2x)	$y = - \frac{1}{2} \cot (\frac{1}{2} x)$
187689	Graph	y=- square root of 1/4x-4	$y = - \sqrt{\frac{1}{4} x} - 4$
187690	Simplify	(x-1)/(3x+4)+(2x+9)/(3x+4)	$\frac{x - 1}{3 x + 4} + \frac{2 x + 9}{3 x + 4}$
187691	Factor	ab+b^2-ac-bc	$a b + b^{2} - a c - b c$
187692	Multiply	3x^3-x^2*-2x	$3 x^{3} - x^{2} \cdot - 2 x$
187693	Graph	(1+1/x)^x	${(1 + \frac{1}{x})}^{x}$
187694	Write the Fraction in Simplest Form	2 1/3÷(1/4)	$2 \frac{1}{3} \div \frac{1}{4}$
187695	Graph	y=(2*0.5)^x	$y = {(2 \cdot 0.5)}^{x}$
187696	Solve for x	log base 2x-3 of 3x^2-2x-12=2	$\log_{2 x - 3} (3 x^{2} - 2 x - 12) = 2$
187697	Solve the Inequality for t	-6<2t-5<3	$- 6 < 2 t - 5 < 3$
187698	Find the Function	f(x)=\|x-4\|	$f (x) = \| x - 4 \|$
187699	Evaluate	(1^2)/(2^2)	$\frac{1^{2}}{2^{2}}$
187700	Solve for y	3y<=-9	$3 y \leq - 9$