Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187701	Solve for w	w+3=4w-6	$w + 3 = 4 w - 6$
187702	Evaluate	4^3-(3+4)^2	$4^{3} - {(3 + 4)}^{2}$
187703	Solve the Absolute Value Inequality for n	-3+\|n-2\|>5	$- 3 + \| n - 2 \| > 5$
187704	Solve the Inequality for x	(x+3)/(x+8)<(x-1)/(x-3)	$\frac{x + 3}{x + 8} < \frac{x - 1}{x - 3}$
187705	Find the Roots (Zeros)	3x^2-15=0	$3 x^{2} - 15 = 0$
187706	Describe the Transformation	y=-\|x+1\|	$y = - \| x + 1 \|$
187707	Factor	2x^3+x^2y-6xy^2-3y^3	$2 x^{3} + x^{2} y - 6 x y^{2} - 3 y^{3}$
187708	Multiply	sin(x)*sin(x)	$\sin (x) \cdot \sin (x)$
187709	Solve for x	(3x)/8-(5x)/8=-x/6-21/4	$\frac{3 x}{8} - \frac{5 x}{8} = - \frac{x}{6} - \frac{21}{4}$
187710	Simplify	(3/x-3)/(5-25/x)	$\frac{\frac{3}{x} - 3}{5 - \frac{25}{x}}$
187711	Find the x and y Intercepts	f(x)=4x-8x^3-x^2	$f (x) = 4 x - 8 x^{3} - x^{2}$
187712	Evaluate	x^3*x^3	$x^{3} \cdot x^{3}$
187713	Multiply	7/(2x^3)*(x^2)/21	$\frac{7}{2 x^{3}} \cdot \frac{x^{2}}{21}$
187714	Solve the System of Equations	2x+y=5 3y=15-6x	$2 x + y = 5$ $3 y = 15 - 6 x$
187715	Simplify	(7p^2q^2)/(14p^2q^2)	$\frac{7 p^{2} q^{2}}{14 p^{2} q^{2}}$
187716	Solve for v	-4 log base 9 of 7v=0	$- 4 \log_{9} (7 v) = 0$
187717	Evaluate	30% of 80	$30 %$ of $80$
187718	Solve the System of Equations	7x-4y=-8 y=3/4x-3	$7 x - 4 y = - 8$ $y = \frac{3}{4} x - 3$
187719	Solve for x	81-(4x)/7=21	$81 - \frac{4 x}{7} = 21$
187720	Solve for x	a=3/2(x+2)	$a = \frac{3}{2} (x + 2)$
187721	Find the x and y Intercepts	f(x)=(x+5)(x^2+2)	$f (x) = (x + 5) (x^{2} + 2)$
187722	Solve for x	12=5x-13x-44	$12 = 5 x - 13 x - 44$
187723	Solve for x	x-1=6(5x-2)	$x - 1 = 6 (5 x - 2)$
187724	Solve the Inequality for a	(a+4)/2>16	$\frac{a + 4}{2} > 16$
187725	Find the x and y Intercepts	f(x)=(1/2)*6^x	$f (x) = (\frac{1}{2}) \cdot 6^{x}$
187726	Graph	x+y>=0 2x-y>=1	$x + y \geq 0$ $2 x - y \geq 1$
187727	Solve for t	d=\|300-48t\|	$d = \| 300 - 48 t \|$
187728	Solve the Inequality for x	3^(x+2)<27	$3^{x + 2} < 27$
187729	Solve for G	F=2GH+2GK	$F = 2 G H + 2 G K$
187730	Solve for x	(1/4)^(x-1) = cube root of 2^(3x+1)	${(\frac{1}{4})}^{x - 1} = \sqrt[3]{2^{3 x + 1}}$
187731	Graph	y> = square root of 4x+8	$y \geq \sqrt{4 x + 8}$
187732	Solve the Inequality for m	-8m<-24	$- 8 m < - 24$
187733	Write the Fraction in Simplest Form	1/2-1/3	$\frac{1}{2} - \frac{1}{3}$
187734	Simplify	(2x^2-4x+5)+(x^2+3x-7)	$(2 x^{2} - 4 x + 5) + (x^{2} + 3 x - 7)$
187735	Simplify	(x^2-4x+3)+(3x^2-3x-5)	$(x^{2} - 4 x + 3) + (3 x^{2} - 3 x - 5)$
187736	Write in Exponential Form	( square root of x^3)^2	${(\sqrt{x^{3}})}^{2}$
187737	Graph	g(x)=-(2x)^2	$g (x) = - {(2 x)}^{2}$
187738	Solve for p	5(p-3)=63	$5 (p - 3) = 63$
187739	Multiply	-2*(-1/3)	$- 2 \cdot (- \frac{1}{3})$
187740	Expand the Logarithmic Expression	log of ( cube root of a)/b	$\log (\frac{\sqrt[3]{a}}{b})$
187741	Solve for S	P=2SQ+2SR	$P = 2 S Q + 2 S R$
187742	Simplify	(2x^2)/(6x^2-13x+6)+(2x-3)/(3x^2-11x+6)	$\frac{2 x^{2}}{6 x^{2} - 13 x + 6} + \frac{2 x - 3}{3 x^{2} - 11 x + 6}$
187743	Graph	(x-1)/(x-3)<0	$\frac{x - 1}{x - 3} < 0$
187744	Solve for x	(x+5)^(1/2)=(5-2x)^(1/4)	${(x + 5)}^{\frac{1}{2}} = {(5 - 2 x)}^{\frac{1}{4}}$
187745	Solve the Inequality for x	(x^2-x-2)/(x+3)<0	$\frac{x^{2} - x - 2}{x + 3} < 0$
187746	Find the Distance Between Two Points	(-5,-4) and (4,1)	$(- 5, - 4)$ and $(4, 1)$
187747	Graph	f(x)=-4+ square root of x	$f (x) = - 4 + \sqrt{x}$
187748	Solve for x	9(5-5x)^2+10=11	$9 {(5 - 5 x)}^{2} + 10 = 11$
187749	Graph	y=x^2+6,x>3; -x+6,x<=3	$y = {\begin{cases} x^{2} + 6, x > 3 \\ - x + 6, x \leq 3 \end{cases}$
187750	Solve for a	x=(at^2)/2	$x = \frac{a t^{2}}{2}$
187751	Solve the Inequality for n	2n+10>=26	$2 n + 10 \geq 26$
187752	Graph	3+x>-7	$3 + x > - 7$
187753	Solve for a	a/3+b=c	$\frac{a}{3} + b = c$
187754	Simplify	(4/x-x)/(3/x+6/(x^2))	$\frac{\frac{4}{x} - x}{\frac{3}{x} + \frac{6}{x^{2}}}$
187755	Simplify	(-12d-1)/(10d+5)	$\frac{- 12 d - 1}{10 d + 5}$
187756	Find the Product	(2b-3c)(3c+2b)	$(2 b - 3 c) (3 c + 2 b)$
187757	Evaluate	log base 2 of 18=x-1	$\log_{2} (18) = x - 1$
187758	Find the First Term	a_n=1/(n+1)	$a_{n} = \frac{1}{n + 1}$
187759	Solve for x	pi^(1-x)=e^x	$π^{1 - x} = e^{x}$
187760	Evaluate	(x^4)/(x^7)	$\frac{x^{4}}{x^{7}}$
187761	Evaluate	cube root of 8*27	$\sqrt[3]{8 \cdot 27}$
187762	Evaluate	e^1-e^-1	$e^{1} - e^{- 1}$
187763	Solve the Inequality for x	log base 4 of x+1< log base 4 of 2x	$\log_{4} (x + 1) < \log_{4} (2 x)$
187764	Solve for x	-7/x=(-x)/7	$\frac{- 7}{x} = \frac{- x}{7}$
187765	Solve by Completing the Square	x^2+6x+0=0	$x^{2} + 6 x + 0 = 0$
187766	Find the Roots (Zeros)	f(x)=4 square root of 2x-1+3	$f (x) = 4 \sqrt{2 x - 1} + 3$
187767	Find the Exact Value	sec((-7pi)/4)	$\sec (\frac{- 7 π}{4})$
187768	Evaluate	h(t)=50-t/5	$h (t) = 50 - \frac{t}{5}$
187769	Find the Axis of Symmetry	(x^2)/16+(y^2)/25=1	$\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1$
187770	Factor	(4x^2-9)	$(4 x^{2} - 9)$
187771	Find the Exact Value	(sin(theta))/(1+sin(theta))-(sin(theta))/(1-sin(theta))	$\frac{\sin (θ)}{1 + \sin (θ)} - \frac{\sin (θ)}{1 - \sin (θ)}$
187772	Solve the Inequality for x	(x-1)/(x-10)<0	$\frac{x - 1}{x - 10} < 0$
187773	Find the x and y Intercepts	f(x)=(2x^2-6x)/(5x-15)	$f (x) = \frac{2 x^{2} - 6 x}{5 x - 15}$
187774	Solve the System of Equations	2x+2y+z=1 -x-4y-z=3 5x+2y+2z=6	$2 x + 2 y + z = 1$ $- x - 4 y - z = 3$ $5 x + 2 y + 2 z = 6$
187775	Find the End Behavior	R(x)=-x^5+5x^3-9x	$R (x) = - x^{5} + 5 x^{3} - 9 x$
187776	Find the Domain of the Composition f(g(x))	f(x)=x+2 , g(x)=4x^2-7x-2	$f (x) = x + 2$ , $g (x) = 4 x^{2} - 7 x - 2$
187777	Evaluate	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
187778	Graph	f(x)=3x-1 if x<=-1; -1/2x-5 if x>-1	$f (x) = {\begin{cases} 3 x - 1 & x \leq - 1 \\ - \frac{1}{2} x - 5 & x > - 1 \end{cases}$
187779	Graph	(4x^2-16)/(2x-4)	$\frac{4 x^{2} - 16}{2 x - 4}$
187780	Find the LCM	3 and 8	$3$ and $8$
187781	Evaluate	pi/4+(2pi)/2	$\frac{π}{4} + \frac{2 π}{2}$
187782	Evaluate	square root of x=5	$\sqrt{x} = 5$
187783	Find the Distance Between Two Points	(7,-3) and (1,3)	$(7, - 3)$ and $(1, 3)$
187784	Solve for x	(2sin(x)^2-1)(tan(x)^2-3)=0	$(2 \sin^{2} (x) - 1) (\tan^{2} (x) - 3) = 0$
187785	Simplify	sixth root of (g^6h)/(h^7)	$\sqrt[6]{\frac{g^{6} h}{h^{7}}}$
187786	Solve for x	(x-2)^2=-3x+6	${(x - 2)}^{2} = - 3 x + 6$
187787	Solve for x	2+7/x=2/5	$2 + \frac{7}{x} = \frac{2}{5}$
187788	Solve the Inequality for h	1/2h+2>=1/2(h+8)	$\frac{1}{2} h + 2 \geq \frac{1}{2} (h + 8)$
187789	Factor	R(x)=(x^2)/(x^2+x-12)	$R (x) = \frac{x^{2}}{x^{2} + x - 12}$
187790	Evaluate	(x^(1/4)y^16)^(1/2)	${(x^{\frac{1}{4}} y^{16})}^{\frac{1}{2}}$
187791	Solve for x	3^(2x-1)*3^4=3	$3^{2 x - 1} \cdot 3^{4} = 3$
187792	Find the Holes in the Graph	f(x)=(x^2-x-6)/(x+2)	$f (x) = \frac{x^{2} - x - 6}{x + 2}$
187793	Solve the Inequality for x	(3(x-3))/6>=0	$\frac{3 (x - 3)}{6} \geq 0$
187794	Simplify	7 square root of 2x^4-x^2 square root of 18	$7 \sqrt{2 x^{4}} - x^{2} \sqrt{18}$
187795	Simplify	((x^2-2x-8)/(x^2-2x-15))÷((2x^2-8x)/(2x^2-10x))	$\frac{x^{2} - 2 x - 8}{x^{2} - 2 x - 15} \div \frac{2 x^{2} - 8 x}{2 x^{2} - 10 x}$
187796	Find the Function	f(x)=3/x	$f (x) = \frac{3}{x}$
187797	Solve for r	s=(a-lr)/(1-r)	$s = \frac{a - l r}{1 - r}$
187798	Solve the Inequality for x	x/2-7/6<4/3	$\frac{x}{2} - \frac{7}{6} < \frac{4}{3}$
187799	Find the Domain and Range	y-8=-2x^2+4x	$y - 8 = - 2 x^{2} + 4 x$
187800	Solve Using the Quadratic Formula	3x^2=-6-8x	$3 x^{2} = - 6 - 8 x$