Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198701	Solve for k	x^2+kx+4=0	$x^{2} + k x + 4 = 0$
198702	Find the Inverse	f(x)=ax-b	$f (x) = a x - b$
198703	Solve for y	6x-2y=10 for y	$6 x - 2 y = 10$ for $y$
198704	Graph	y=2x+1 y=4x-1	$y = 2 x + 1$ $y = 4 x - 1$
198705	Simplify	6/(7(6/(7x)))	$\frac{6}{7 (\frac{6}{7 x})}$
198706	Find the Parallel Line	(-1,6) and parallel to x+2y=5	$(- 1, 6)$ and parallel to $x + 2 y = 5$
198707	Evaluate	4*2^(-t/5)=288	$4 \cdot 2^{- \frac{t}{5}} = 288$
198708	Simplify	(8a^2bc^-1)/(12ab^3c)	$\frac{8 a^{2} b c^{- 1}}{12 a b^{3} c}$
198709	Solve for y	-29=5y+6-12y	$- 29 = 5 y + 6 - 12 y$
198710	Evaluate	(2x-3)(x+4)	$(2 x - 3) (x + 4)$
198711	Solve the Inequality for x	3^(2x-1)>=1/243	$3^{2 x - 1} \geq \frac{1}{243}$
198712	Simplify	(5x^2)^0(9x)^2	${(5 x^{2})}^{0} {(9 x)}^{2}$
198713	Simplify	(((x^2y^3)^2)/(2z))^3	${(\frac{{(x^{2} y^{3})}^{2}}{2 z})}^{3}$
198714	Simplify	(7x^3-2x^2)+(x^3+9+3x^2)	$(7 x^{3} - 2 x^{2}) + (x^{3} + 9 + 3 x^{2})$
198715	Write in Standard Form	square root of -7	$\sqrt{- 7}$
198716	Solve Using the Quadratic Formula	12-4x=0	$12 - 4 x = 0$
198717	Solve for x	x^3+3x=3x^2	$x^{3} + 3 x = 3 x^{2}$
198718	Convert to a Decimal	52 milesimas	$52$ milesimas
198719	Find the End Behavior	f(x)=-196-7x^2-77x	$f (x) = - 196 - 7 x^{2} - 77 x$
198720	Describe the Transformation	g(x) = natural log of x+12	$g (x) = \ln (x + 12)$
198721	Simplify	(2x+y)^2-(x-2y)^2	${(2 x + y)}^{2} - {(x - 2 y)}^{2}$
198722	Evaluate	(2pi)/((15pi)/2)	$\frac{2 π}{\frac{15 π}{2}}$
198723	Solve for d	16d+23=14(d-2)	$16 d + 23 = 14 (d - 2)$
198724	Solve the Absolute Value Inequality for x	\|x-1\|<10	$\| x - 1 \| < 10$
198725	Solve the Inequality for A	9<=A<=12	$9 \leq A \leq 12$
198726	Find the Domain and Range	f(x)=-3/4x^-5	$f (x) = - \frac{3}{4} x^{- 5}$
198727	Solve for c	3c^2+4c+8=-6c	$3 c^{2} + 4 c + 8 = - 6 c$
198728	Solve for n	-11+n/-8=-13	$- 11 + \frac{n}{- 8} = - 13$
198729	Evaluate	87+72^2+3	$8 \cdot 7 + 7 \cdot 2^{2} + 3$
198730	Graph	f(x)=4+4x if x<0; x^2 if x>=0	$f (x) = {\begin{cases} 4 + 4 x & x < 0 \\ x^{2} & x \geq 0 \end{cases}$
198731	Simplify	3--2	$3 - - 2$
198732	Solve for x	x^2-2=x	$x^{2} - 2 = x$
198733	Evaluate	4/3pi(7.5)^3	$\frac{4}{3} π {(7.5)}^{3}$
198734	Solve the Inequality for y	(y-2)(y-4)>0	$(y - 2) (y - 4) > 0$
198735	Simplify	sin(t(csc(t)-sin(t)))	$\sin (t (\csc (t) - \sin (t)))$
198736	Simplify	(4^-8)/(4^2)	$\frac{4^{- 8}}{4^{2}}$
198737	Solve the Inequality for y	x+3y>9	$x + 3 y > 9$
198738	Convert to Scientific Notation	(2.810^4)÷(2.510^6)	$(2.8 \times 10^{4}) \div (2.5 \times 10^{6})$
198739	Evaluate	(6(-1/2)^2)/((-1/2)^2-4)	$\frac{6 {(- \frac{1}{2})}^{2}}{{(- \frac{1}{2})}^{2} - 4}$
198740	Evaluate	(y^3*2^5)^2	${(y^{3} \cdot 2^{5})}^{2}$
198741	Simplify	fourth root of 2w^6* fourth root of 8w^3	$\sqrt[4]{2 w^{6}} \cdot \sqrt[4]{8 w^{3}}$
198742	Find the Degree, Leading Term, and Leading Coefficient	f(x)=7x-3-9x^2+x^3	$f (x) = 7 x - 3 - 9 x^{2} + x^{3}$
198743	Find the Domain and Range	f(x)=3+4^(x-1)	$f (x) = 3 + 4^{x - 1}$
198744	Divide	(3x^2)÷(x^2)	$3 x^{2} \div x^{2}$
198745	Find the x and y Intercepts	f(x)=(x-4)/(3x^2+39x+90)	$f (x) = \frac{x - 4}{3 x^{2} + 39 x + 90}$
198746	Simplify	(-1/2)^-4	${(- \frac{1}{2})}^{- 4}$
198747	Find the Exact Value	1/(2^2)	$\frac{1}{2^{2}}$
198748	Factor	15a^3+10a^2-18b-27ab	$15 a^{3} + 10 a^{2} - 18 b - 27 a b$
198749	Solve the Inequality for x	x/2+(x+1)/7-x+2<0	$\frac{x}{2} + \frac{x + 1}{7} - x + 2 < 0$
198750	Solve the System of Inequalities	-1<2x-5<7	$- 1 < 2 x - 5 < 7$
198751	Graph	2r+3<7 or -r+9<=2	$2 r + 3 < 7$ or $- r + 9 \leq 2$
198752	Evaluate	f(-2)=-2^2	$f (- 2) = - 2^{2}$
198753	Solve the Absolute Value Inequality for x	\|4x+3\|-9=3	$\| 4 x + 3 \| - 9 = 3$
198754	Find g(f(x))	f(x)=2x^2-4x+13 g(x)=3x-5	$f (x) = 2 x^{2} - 4 x + 13$ $g (x) = 3 x - 5$
198755	Find the Axis of Symmetry	(x^2)/16+(y^2)/9=1	$\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$
198756	Find the Roots (Zeros)	x^3-6x^2+12x-8=0	$x^{3} - 6 x^{2} + 12 x - 8 = 0$
198757	Solve the Inequality for g	g+6>5	$g + 6 > 5$
198758	Graph	f(x)=x+1 g(x)=-8x+10	$f (x) = x + 1$ $g (x) = - 8 x + 10$
198759	Solve for y	square root of y-4=x+1	$\sqrt{y - 4} = x + 1$
198760	Solve for x	7-(2x+11)+3(3-x)=20	$7 - (2 x + 11) + 3 (3 - x) = 20$
198761	Simplify	2n+1-4m-n	$2 n + 1 - 4 m - n$
198762	Find the Roots (Zeros)	f(x)=20x^4+x^3+8x^2+x-12	$f (x) = 20 x^{4} + x^{3} + 8 x^{2} + x - 12$
198763	Graph	y=-3/2x-4 y=1/2x-8	$y = - \frac{3}{2} x - 4$ $y = \frac{1}{2} x - 8$
198764	Solve the Absolute Value Inequality for x	(\|x+8\|)/7>=1	$\frac{\| x + 8 \|}{7} \geq 1$
198765	Find the Exact Value	(4/3)^3	${(\frac{4}{3})}^{3}$
198766	Convert to Logarithmic Form	-5*e^(10t)=-30	$- 5 \cdot e^{10 t} = - 30$
198767	Solve the System of Equations	-4x+y=-4 4x-y=4	$- 4 x + y = - 4$ $4 x - y = 4$
198768	Solve for x	4x-1/2x-7=7(1/2x-7)	$4 x - \frac{1}{2} x - 7 = 7 (\frac{1}{2} x - 7)$
198769	Solve the Inequality for x	-7x-50<=-1	$- 7 x - 50 \leq - 1$
198770	Find the Product	(2n+2)(2n-2)	$(2 n + 2) (2 n - 2)$
198771	Solve Using the Quadratic Formula	z^2+z=-1/4	$z^{2} + z = - \frac{1}{4}$
198772	Evaluate	1/((3)^2-9)	$\frac{1}{{(3)}^{2} - 9}$
198773	Simplify	4 cube root of x-6 cube root of 2+8 cube root of 16-5 cube root of 27x	$4 \sqrt[3]{x} - 6 \sqrt[3]{2} + 8 \sqrt[3]{16} - 5 \sqrt[3]{27 x}$
198774	Divide	((m^2-2m-8)/(8m+24))÷((2m-8)/(m^2+7m+12))	$\frac{m^{2} - 2 m - 8}{8 m + 24} \div \frac{2 m - 8}{m^{2} + 7 m + 12}$
198775	Evaluate	(sin(x)+cos(x))^2+(sin(x)-cos(x))^2	${(\sin (x) + \cos (x))}^{2} + {(\sin (x) - \cos (x))}^{2}$
198776	Graph	f^-1(4)	$f^{- 1} (4)$
198777	Solve the Inequality for x	\|x\|<=0	$\| x \| \leq 0$
198778	Find the Exact Value	cos((1pi)/4)	$\cos (\frac{1 π}{4})$
198779	Solve for x	x/4=9/(4x)	$\frac{x}{4} = \frac{9}{4 x}$
198780	Solve the Inequality for x	-3/2x<6-(2x-5)	$- \frac{3}{2} x < 6 - (2 x - 5)$
198781	Solve for x	4/(3x)+7/4=6-5/(2x)	$\frac{4}{3 x} + \frac{7}{4} = 6 - \frac{5}{2 x}$
198782	Evaluate	(3b)^2	${(3 b)}^{2}$
198783	Solve for x	\|x-2\|=4x+4	$\| x - 2 \| = 4 x + 4$
198784	Evaluate	(-5x+5)-(3x^2-6x-1)	$(- 5 x + 5) - (3 x^{2} - 6 x - 1)$
198785	Solve for x	(2x)/3=4.5/4	$\frac{2 x}{3} = \frac{4.5}{4}$
198786	Solve the System of Equations	3x-2y=1 -6x+4y=-2	$3 x - 2 y = 1$ $- 6 x + 4 y = - 2$
198787	Simplify	(25^x)/(5^x)	$\frac{25^{x}}{5^{x}}$
198788	Find the Exact Value	cot(750 degrees )	$\cot (750 °)$
198789	Solve for x	2\|x-4\|+2<=20	$2 \| x - 4 \| + 2 \leq 20$
198790	Evaluate	(f+g)(8)	$(f + g) (8)$
198791	Solve for x	-5 cube root of 2x+3=-15	$- 5 \sqrt[3]{2 x + 3} = - 15$
198792	Divide Using Synthetic Division	(x^8-1)/(x+2)	$\frac{x^{8} - 1}{x + 2}$
198793	Factor	(8x^3-1)	$(8 x^{3} - 1)$
198794	Graph Using a Table of Values	g(x)=-(1/2)^x+3	$g (x) = - {(\frac{1}{2})}^{x} + 3$
198795	Simplify	2x^0y^-2	$2 x^{0} y^{- 2}$
198796	Evaluate	(-8/17)^2-(15/17)^2	${(- \frac{8}{17})}^{2} - {(\frac{15}{17})}^{2}$
198797	Solve for x	(x-6)/(x^2-4x-12)+2/(x+2)=1/(x-6)	$\frac{x - 6}{x^{2} - 4 x - 12} + \frac{2}{x + 2} = \frac{1}{x - 6}$
198798	Graph	f(x)=(-8(x+3))/((x+2)(x-2)^2)	$f (x) = \frac{- 8 (x + 3)}{(x + 2) {(x - 2)}^{2}}$
198799	Solve the System of Equations	y=2x+48 y=9x+13	$y = 2 x + 48$ $y = 9 x + 13$
198800	Solve the Absolute Value Inequality for x	\|x-6\|>=6	$\| x - 6 \| \geq 6$