Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187701	Solve the System of Inequalities	y>3x y<=x+5	$y > 3 x$ $y \leq x + 5$
187702	Solve the Inequality for x	(x+5)/(x-4)<0	$\frac{x + 5}{x - 4} < 0$
187703	Solve the Inequality for x	(x-7)(4-x)(x+1)<=0	$(x - 7) (4 - x) (x + 1) \leq 0$
187704	Solve the Inequality for x	(x+6)(1-x)(x-4)>0	$(x + 6) (1 - x) (x - 4) > 0$
187705	Convert to Interval Notation	x<0 or x>=100	$x < 0$ or $x \geq 100$
187706	Graph	y=ax	$y = a x$
187707	Solve the Inequality for x	2x^2-5x<=3	$2 x^{2} - 5 x \leq 3$
187708	Combine Like Terms	(x-5)^2	${(x - 5)}^{2}$
187709	Solve for x	-3(x-8)(5x-1)=0	$- 3 (x - 8) (5 x - 1) = 0$
187710	Graph	y^2=x-4	$y^{2} = x - 4$
187711	Solve for m	16m^2+8m=0	$16 m^{2} + 8 m = 0$
187712	Simplify	limit as x approaches 2 of (2-x)/( square root of x+2-2)	$lim_{x \to 2} \frac{2 - x}{\sqrt{x + 2} - 2}$
187713	Evaluate	4/(4/x)	$\frac{4}{\frac{4}{x}}$
187714	Simplify	x/5+4x+3(x-5)	$\frac{x}{5} + 4 x + 3 (x - 5)$
187715	Expand the Logarithmic Expression	log of ( square root of x)/( cube root of y)	$\log (\frac{\sqrt{x}}{\sqrt[3]{y}})$
187716	Solve for w	w+3=4w-6	$w + 3 = 4 w - 6$
187717	Evaluate	4^3-(3+4)^2	$4^{3} - {(3 + 4)}^{2}$
187718	Solve the Absolute Value Inequality for n	-3+\|n-2\|>5	$- 3 + \| n - 2 \| > 5$
187719	Solve the Inequality for x	(x+3)/(x+8)<(x-1)/(x-3)	$\frac{x + 3}{x + 8} < \frac{x - 1}{x - 3}$
187720	Find the Roots (Zeros)	3x^2-15=0	$3 x^{2} - 15 = 0$
187721	Describe the Transformation	y=-\|x+1\|	$y = - \| x + 1 \|$
187722	Factor	2x^3+x^2y-6xy^2-3y^3	$2 x^{3} + x^{2} y - 6 x y^{2} - 3 y^{3}$
187723	Multiply	sin(x)*sin(x)	$\sin (x) \cdot \sin (x)$
187724	Solve for x	(3x)/8-(5x)/8=-x/6-21/4	$\frac{3 x}{8} - \frac{5 x}{8} = - \frac{x}{6} - \frac{21}{4}$
187725	Simplify	(3/x-3)/(5-25/x)	$\frac{\frac{3}{x} - 3}{5 - \frac{25}{x}}$
187726	Find the x and y Intercepts	f(x)=4x-8x^3-x^2	$f (x) = 4 x - 8 x^{3} - x^{2}$
187727	Evaluate	x^3*x^3	$x^{3} \cdot x^{3}$
187728	Multiply	7/(2x^3)*(x^2)/21	$\frac{7}{2 x^{3}} \cdot \frac{x^{2}}{21}$
187729	Solve the System of Equations	2x+y=5 3y=15-6x	$2 x + y = 5$ $3 y = 15 - 6 x$
187730	Simplify	(7p^2q^2)/(14p^2q^2)	$\frac{7 p^{2} q^{2}}{14 p^{2} q^{2}}$
187731	Solve for v	-4 log base 9 of 7v=0	$- 4 \log_{9} (7 v) = 0$
187732	Evaluate	30% of 80	$30 %$ of $80$
187733	Solve the System of Equations	7x-4y=-8 y=3/4x-3	$7 x - 4 y = - 8$ $y = \frac{3}{4} x - 3$
187734	Solve for x	81-(4x)/7=21	$81 - \frac{4 x}{7} = 21$
187735	Solve for x	a=3/2(x+2)	$a = \frac{3}{2} (x + 2)$
187736	Find the x and y Intercepts	f(x)=(x+5)(x^2+2)	$f (x) = (x + 5) (x^{2} + 2)$
187737	Solve for x	12=5x-13x-44	$12 = 5 x - 13 x - 44$
187738	Solve for x	x-1=6(5x-2)	$x - 1 = 6 (5 x - 2)$
187739	Solve the Inequality for a	(a+4)/2>16	$\frac{a + 4}{2} > 16$
187740	Find the x and y Intercepts	f(x)=(1/2)*6^x	$f (x) = (\frac{1}{2}) \cdot 6^{x}$
187741	Graph	x+y>=0 2x-y>=1	$x + y \geq 0$ $2 x - y \geq 1$
187742	Solve for t	d=\|300-48t\|	$d = \| 300 - 48 t \|$
187743	Solve the Inequality for x	3^(x+2)<27	$3^{x + 2} < 27$
187744	Solve for G	F=2GH+2GK	$F = 2 G H + 2 G K$
187745	Solve for x	(1/4)^(x-1) = cube root of 2^(3x+1)	${(\frac{1}{4})}^{x - 1} = \sqrt[3]{2^{3 x + 1}}$
187746	Graph	y> = square root of 4x+8	$y \geq \sqrt{4 x + 8}$
187747	Solve the Inequality for m	-8m<-24	$- 8 m < - 24$
187748	Write the Fraction in Simplest Form	1/2-1/3	$\frac{1}{2} - \frac{1}{3}$
187749	Simplify	(2x^2-4x+5)+(x^2+3x-7)	$(2 x^{2} - 4 x + 5) + (x^{2} + 3 x - 7)$
187750	Simplify	(x^2-4x+3)+(3x^2-3x-5)	$(x^{2} - 4 x + 3) + (3 x^{2} - 3 x - 5)$
187751	Write in Exponential Form	( square root of x^3)^2	${(\sqrt{x^{3}})}^{2}$
187752	Graph	g(x)=-(2x)^2	$g (x) = - {(2 x)}^{2}$
187753	Solve for p	5(p-3)=63	$5 (p - 3) = 63$
187754	Multiply	-2*(-1/3)	$- 2 \cdot (- \frac{1}{3})$
187755	Expand the Logarithmic Expression	log of ( cube root of a)/b	$\log (\frac{\sqrt[3]{a}}{b})$
187756	Solve for S	P=2SQ+2SR	$P = 2 S Q + 2 S R$
187757	Simplify	(2x^2)/(6x^2-13x+6)+(2x-3)/(3x^2-11x+6)	$\frac{2 x^{2}}{6 x^{2} - 13 x + 6} + \frac{2 x - 3}{3 x^{2} - 11 x + 6}$
187758	Graph	(x-1)/(x-3)<0	$\frac{x - 1}{x - 3} < 0$
187759	Solve for x	(x+5)^(1/2)=(5-2x)^(1/4)	${(x + 5)}^{\frac{1}{2}} = {(5 - 2 x)}^{\frac{1}{4}}$
187760	Solve the Inequality for x	(x^2-x-2)/(x+3)<0	$\frac{x^{2} - x - 2}{x + 3} < 0$
187761	Find the Distance Between Two Points	(-5,-4) and (4,1)	$(- 5, - 4)$ and $(4, 1)$
187762	Graph	f(x)=-4+ square root of x	$f (x) = - 4 + \sqrt{x}$
187763	Solve for x	9(5-5x)^2+10=11	$9 {(5 - 5 x)}^{2} + 10 = 11$
187764	Graph	y=x^2+6,x>3; -x+6,x<=3	$y = {\begin{cases} x^{2} + 6, x > 3 \\ - x + 6, x \leq 3 \end{cases}$
187765	Solve for a	x=(at^2)/2	$x = \frac{a t^{2}}{2}$
187766	Solve the Inequality for n	2n+10>=26	$2 n + 10 \geq 26$
187767	Graph	3+x>-7	$3 + x > - 7$
187768	Solve for a	a/3+b=c	$\frac{a}{3} + b = c$
187769	Simplify	(4/x-x)/(3/x+6/(x^2))	$\frac{\frac{4}{x} - x}{\frac{3}{x} + \frac{6}{x^{2}}}$
187770	Simplify	(-12d-1)/(10d+5)	$\frac{- 12 d - 1}{10 d + 5}$
187771	Find the Product	(2b-3c)(3c+2b)	$(2 b - 3 c) (3 c + 2 b)$
187772	Evaluate	log base 2 of 18=x-1	$\log_{2} (18) = x - 1$
187773	Find the First Term	a_n=1/(n+1)	$a_{n} = \frac{1}{n + 1}$
187774	Solve for x	pi^(1-x)=e^x	$π^{1 - x} = e^{x}$
187775	Evaluate	(x^4)/(x^7)	$\frac{x^{4}}{x^{7}}$
187776	Evaluate	cube root of 8*27	$\sqrt[3]{8 \cdot 27}$
187777	Evaluate	e^1-e^-1	$e^{1} - e^{- 1}$
187778	Solve the Inequality for x	log base 4 of x+1< log base 4 of 2x	$\log_{4} (x + 1) < \log_{4} (2 x)$
187779	Solve for x	-7/x=(-x)/7	$\frac{- 7}{x} = \frac{- x}{7}$
187780	Solve by Completing the Square	x^2+6x+0=0	$x^{2} + 6 x + 0 = 0$
187781	Find the Roots (Zeros)	f(x)=4 square root of 2x-1+3	$f (x) = 4 \sqrt{2 x - 1} + 3$
187782	Find the Exact Value	sec((-7pi)/4)	$\sec (\frac{- 7 π}{4})$
187783	Evaluate	h(t)=50-t/5	$h (t) = 50 - \frac{t}{5}$
187784	Find the Axis of Symmetry	(x^2)/16+(y^2)/25=1	$\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1$
187785	Factor	(4x^2-9)	$(4 x^{2} - 9)$
187786	Find the Exact Value	(sin(theta))/(1+sin(theta))-(sin(theta))/(1-sin(theta))	$\frac{\sin (θ)}{1 + \sin (θ)} - \frac{\sin (θ)}{1 - \sin (θ)}$
187787	Solve the Inequality for x	(x-1)/(x-10)<0	$\frac{x - 1}{x - 10} < 0$
187788	Find the x and y Intercepts	f(x)=(2x^2-6x)/(5x-15)	$f (x) = \frac{2 x^{2} - 6 x}{5 x - 15}$
187789	Solve the System of Equations	2x+2y+z=1 -x-4y-z=3 5x+2y+2z=6	$2 x + 2 y + z = 1$ $- x - 4 y - z = 3$ $5 x + 2 y + 2 z = 6$
187790	Find the End Behavior	R(x)=-x^5+5x^3-9x	$R (x) = - x^{5} + 5 x^{3} - 9 x$
187791	Find the Domain of the Composition f(g(x))	f(x)=x+2 , g(x)=4x^2-7x-2	$f (x) = x + 2$ , $g (x) = 4 x^{2} - 7 x - 2$
187792	Evaluate	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
187793	Graph	f(x)=3x-1 if x<=-1; -1/2x-5 if x>-1	$f (x) = {\begin{cases} 3 x - 1 & x \leq - 1 \\ - \frac{1}{2} x - 5 & x > - 1 \end{cases}$
187794	Graph	(4x^2-16)/(2x-4)	$\frac{4 x^{2} - 16}{2 x - 4}$
187795	Find the LCM	3 and 8	$3$ and $8$
187796	Evaluate	pi/4+(2pi)/2	$\frac{π}{4} + \frac{2 π}{2}$
187797	Evaluate	square root of x=5	$\sqrt{x} = 5$
187798	Find the Distance Between Two Points	(7,-3) and (1,3)	$(7, - 3)$ and $(1, 3)$
187799	Solve for x	(2sin(x)^2-1)(tan(x)^2-3)=0	$(2 \sin^{2} (x) - 1) (\tan^{2} (x) - 3) = 0$
187800	Simplify	sixth root of (g^6h)/(h^7)	$\sqrt[6]{\frac{g^{6} h}{h^{7}}}$