Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188601	Write in Standard Form	4y-3=6x+6	$4 y - 3 = 6 x + 6$
188602	Convert to Interval Notation	(2x)/(x+1)>=1	$\frac{2 x}{x + 1} \geq 1$
188603	Simplify	3/x+5/(2x)-11/(3x)	$\frac{3}{x} + \frac{5}{2 x} - \frac{11}{3 x}$
188604	Solve for z	natural log of 63 = natural log of z+ natural log of 7	$\ln (63) = \ln (z) + \ln (7)$
188605	Simplify	-4x+2x^2-x^2+5-3x	$- 4 x + 2 x^{2} - x^{2} + 5 - 3 x$
188606	Solve the Inequality for x	8x-5x-4<=-3+3x	$8 x - 5 x - 4 \leq - 3 + 3 x$
188607	Solve for v	h=vt+16t^2	$h = v t + 16 t^{2}$
188608	Solve the Inequality for x	\|x+6\|-12<13	$\| x + 6 \| - 12 < 13$
188609	Determine if Parallel	-9y=-3x+18 and 2x-6y=30	$- 9 y = - 3 x + 18$ and $2 x - 6 y = 30$
188610	Find the Inverse	f(x)=1/(2x)-3	$f (x) = \frac{1}{2 x} - 3$
188611	Simplify	(16/9)^(3/2)	${(\frac{16}{9})}^{\frac{3}{2}}$
188612	Evaluate	4(2)^-1	$4 {(2)}^{- 1}$
188613	Solve for a	( cube root of x^4)/x=x^a	$\frac{\sqrt[3]{x^{4}}}{x} = x^{a}$
188614	Find the Roots (Zeros)	f(x)=x^2(x+3)	$f (x) = x^{2} (x + 3)$
188615	Graph Using a Table of Values	y=2*2^x	$y = 2 \cdot 2^{x}$
188616	Solve for b	4(3b-1)=9-b	$4 (3 b - 1) = 9 - b$
188617	Evaluate	k(t)=10t-19	$k (t) = 10 t - 19$
188618	Solve for x	(3x-1)/7+(2x-1)/3=x	$\frac{3 x - 1}{7} + \frac{2 x - 1}{3} = x$
188619	Solve Using the Quadratic Formula	x^2-7/6x+1/3=0	$x^{2} - \frac{7}{6} x + \frac{1}{3} = 0$
188620	Find the First Term	3^n	$3^{n}$
188621	Find All Complex Solutions	x-(2x+1)=8-(3x+3)	$x - (2 x + 1) = 8 - (3 x + 3)$
188622	Factor	14gh^2+28gh+14h	$14 g h^{2} + 28 g h + 14 h$
188623	Solve the System of Equations	-x+y+2z=9 x-2y+z=-1 2x+2y-z=-5	$- x + y + 2 z = 9$ $x - 2 y + z = - 1$ $2 x + 2 y - z = - 5$
188624	Solve for x	y=3 square root of x	$y = 3 \sqrt{x}$
188625	Write in Slope-Intercept Form	(-1,6) and (7,-2)	$(- 1, 6)$ and $(7, - 2)$
188626	Solve for x	0.6=5^(0.94x+4)-2	$0.6 = 5^{0.94 x + 4} - 2$
188627	Solve for h	V=pi^2h	$V = π^{2} h$
188628	Solve for w	9+5w-14w=12-6w	$9 + 5 w - 14 w = 12 - 6 w$
188629	Graph	cosh(x)	$\cosh (x)$
188630	Find the Function	f(x)=1/4*2^x	$f (x) = \frac{1}{4} \cdot 2^{x}$
188631	Simplify	(6x^3-2x^2+9x-8)+(4x^3-2x+6)	$(6 x^{3} - 2 x^{2} + 9 x - 8) + (4 x^{3} - 2 x + 6)$
188632	Solve for x	-2/5(-10x+10)-5/4x=-(-x-1)	$- \frac{2}{5} (- 10 x + 10) - \frac{5}{4} x = - (- x - 1)$
188633	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-3x=0	$x^{2} - 3 x = 0$
188634	Simplify	4 square root of 2*6 square root of 18	$4 \sqrt{2} \times 6 \sqrt{18}$
188635	Evaluate	9-24/-8-(-5)	$9 - \frac{24}{- 8} - (- 5)$
188636	Simplify	(2+i)/(1+i)	$\frac{2 + i}{1 + i}$
188637	Find the Distance Between Two Points	(9,9) and (6,5)	$(9, 9)$ and $(6, 5)$
188638	Solve the Inequality for t	-3t>=39	$- 3 t \geq 39$
188639	Solve the Inequality for x	0<x^2-4x-5	$0 < x^{2} - 4 x - 5$
188640	Subtract	(7y^2+6xy)-(-2xy+3)	$(7 y^{2} + 6 x y) - (- 2 x y + 3)$
188641	Evaluate	((-2)^5-(-3)^3)^2	${({(- 2)}^{5} - {(- 3)}^{3})}^{2}$
188642	Solve for a	square root of 7a-2 = square root of a+3	$\sqrt{7 a - 2} = \sqrt{a + 3}$
188643	Solve for y	1.5=y-(-5.6)	$1.5 = y - (- 5.6)$
188644	Solve the Inequality for x	3(x+3)<=5x-3	$3 (x + 3) \leq 5 x - 3$
188645	Simplify	x(x-3)-4(x^2+7)	$x (x - 3) - 4 (x^{2} + 7)$
188646	Simplify	(x^(5/3)y^-2)^0	${(x^{\frac{5}{3}} y^{- 2})}^{0}$
188647	Solve for r	-18=5/2r+12	$- 18 = \frac{5}{2} r + 12$
188648	Multiply	3/4*2/3	$\frac{3}{4} \cdot \frac{2}{3}$
188649	Convert to Interval Notation	x<=-2 or x>=2	$x \leq - 2$ or $x \geq 2$
188650	Solve for a	log base 4 of 108- log base 4 of 9 = log base 4 of 7a-9	$\log_{4} (108) - \log_{4} (9) = \log_{4} (7 a - 9)$
188651	Solve for x	1/4x-1/8=7/8+1/2x	$\frac{1}{4} x - \frac{1}{8} = \frac{7}{8} + \frac{1}{2} x$
188652	Simplify	2*3/4	$2 \cdot \frac{3}{4}$
188653	Evaluate	-4(z+3)-4(5-4z)	$- 4 (z + 3) - 4 (5 - 4 z)$
188654	Find g(f(x))	f(x)=5x-3 and g(x)=2x^2-5	$f (x) = 5 x - 3$ and $g (x) = 2 x^{2} - 5$
188655	Determine if True	sin(-theta)+cos(-theta)=cos(theta)-sin(theta)	$\sin (- θ) + \cos (- θ) = \cos (θ) - \sin (θ)$
188656	Simplify	-18<9x	$- 18 < 9 x$
188657	Find the Distance Between Two Points	(-4,-3) and (5,9)	$(- 4, - 3)$ and $(5, 9)$
188658	Graph	2(x-y)>4-2y	$2 (x - y) > 4 - 2 y$
188659	Solve the System of Equations	y=-1/2x+4 x+2y=-8	$y = - \frac{1}{2} x + 4$ $x + 2 y = - 8$
188660	Solve for y	(3y-2)^(2/5)=(8y)^(1/5)	${(3 y - 2)}^{\frac{2}{5}} = {(8 y)}^{\frac{1}{5}}$
188661	Find the Exact Value	3-5+3(2-1)+4÷2	$3 - 5 + 3 (2 - 1) + 4 \div 2$
188662	Evaluate	5(13-(3^2+2^2))	$5 (13 - (3^{2} + 2^{2}))$
188663	Evaluate	3/5e-6=-2/5(e-10)-7	$\frac{3}{5} e - 6 = - \frac{2}{5} (e - 10) - 7$
188664	Simplify	8x^2-x^2-12x^2+2x^2	$8 x^{2} - x^{2} - 12 x^{2} + 2 x^{2}$
188665	Evaluate	-4^2+3(15-11)-2(6+2^3)	$- 4^{2} + 3 (15 - 11) - 2 (6 + 2^{3})$
188666	Graph	d(x)=1/2x^2-10x	$d (x) = \frac{1}{2} x^{2} - 10 x$
188667	Graph	y<-\|x\|	$y < - \| x \|$
188668	Evaluate	-1^3+(-2)^3	$- 1^{3} + {(- 2)}^{3}$
188669	Rationalize the Denominator	1/( square root of 5- square root of 3)	$\frac{1}{\sqrt{5} - \sqrt{3}}$
188670	Factor	x^2+ax+bx+ab	$x^{2} + a x + b x + a b$
188671	Simplify	(-1+5i)/i	$\frac{- 1 + 5 i}{i}$
188672	Simplify	x^2y(-2x^5y^5)	$x^{2} y (- 2 x^{5} y^{5})$
188673	Find the LCM	12 and 15	$12$ and $15$
188674	Simplify	((4x-24)/(-3x-15))/((x^2-36)/(x+5))	$\frac{\frac{4 x - 24}{- 3 x - 15}}{\frac{x^{2} - 36}{x + 5}}$
188675	Solve the Inequality for x	5^x>25^(x+1)	$5^{x} > 25^{x + 1}$
188676	Find f(g(x))	f(x)=4x-1 , g(x)=x^2+1	$f (x) = 4 x - 1$ , $g (x) = x^{2} + 1$
188677	Solve for n	2^2*2^n=(2^4)^3	$2^{2} \cdot 2^{n} = {(2^{4})}^{3}$
188678	Simplify	(13m^4+2)+(m^4n^2+2-2m^4)-(-13m^2n^3+5m^4)	$(13 m^{4} + 2) + (m^{4} n^{2} + 2 - 2 m^{4}) - (- 13 m^{2} n^{3} + 5 m^{4})$
188679	Find the Product	3 square root of 2(5 square root of 6-7 square root of 3)	$3 \sqrt{2} (5 \sqrt{6} - 7 \sqrt{3})$
188680	Find the Exact Value	log base square root of 6 of 36	$\log_{\sqrt{6}} (36)$
188681	Simplify	i(2i)	$i (2 i)$
188682	Divide	(4x^3)/x	$\frac{4 x^{3}}{x}$
188683	Solve for h	(h-7)/4=(2h+1)/3	$\frac{h - 7}{4} = \frac{2 h + 1}{3}$
188684	Solve for t	(t-12)/2=(3t)/2-3	$\frac{t - 12}{2} = \frac{3 t}{2} - 3$
188685	Solve the Inequality for y	10y-3(y+2)>2y+4	$10 y - 3 (y + 2) > 2 y + 4$
188686	Solve the Inequality for n	0>=7n	$0 \geq 7 n$
188687	Graph Using a Table of Values	f(x)=5/x	$f (x) = \frac{5}{x}$
188688	Graph	f(x)=x^2 if x<-1; 2 if x>=-1	$f (x) = {\begin{cases} x^{2} & x < - 1 \\ 2 & x \geq - 1 \end{cases}$
188689	Multiply	(12 square root of 12d^4)(7 square root of 4d^4)	$(12 \sqrt{12 d^{4}}) (7 \sqrt{4 d^{4}})$
188690	Find the Axis of Symmetry	x^2-y=0	$x^{2} - y = 0$
188691	Graph	y=x^3-2,x<=1; x^2+4,x>1	$y = {\begin{cases} x^{3} - 2, x \leq 1 \\ x^{2} + 4, x > 1 \end{cases}$
188692	Find the x and y Intercepts	f(x)=-6e^x	$f (x) = - 6 e^{x}$
188693	Simplify	((x-2)/(x^2-4))÷((x+1)/(x^2-2x-3))	$(\frac{x - 2}{x^{2} - 4}) \div (\frac{x + 1}{x^{2} - 2 x - 3})$
188694	Solve the System of Equations	y=5/6x+7 y=-4/3x-6	$y = \frac{5}{6} x + 7$ $y = - \frac{4}{3} x - 6$
188695	Solve for x	7/(x-6)+(2x)/(x+2)=(3x+2)/(x+2)	$\frac{7}{x - 6} + \frac{2 x}{x + 2} = \frac{3 x + 2}{x + 2}$
188696	Solve for w	-243=-9(10+w)	$- 243 = - 9 (10 + w)$
188697	Simplify	(9/x-3)/(3-(x^2)/3)	$\frac{\frac{9}{x} - 3}{3 - \frac{x^{2}}{3}}$
188698	Solve the Inequality for x	3x<=-9	$3 x \leq - 9$
188699	Write in Standard Form	ax^2+bx+c	$a x^{2} + b x + c$
188700	Graph	8>=3+x	$8 \geq 3 + x$