Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
169001	Solve for y	3x+1=7-4y	$3 x + 1 = 7 - 4 y$
169002	Solve the System of Equations	3x^2-y^2=11 x^2+4y^2=8	$3 x^{2} - y^{2} = 11$ $x^{2} + 4 y^{2} = 8$
169003	Simplify	(xy^-2y^-6)/(x^-3)	$\frac{x y^{- 2} y^{- 6}}{x^{- 3}}$
169004	Find the Function	f(x)=x-7	$f (x) = x - 7$
169005	Write the Fraction in Simplest Form	(4/3)^-8*(4/3)^2	${(\frac{4}{3})}^{- 8} \cdot {(\frac{4}{3})}^{2}$
169006	Solve for x	-12=2+5x+2x	$- 12 = 2 + 5 x + 2 x$
169007	Graph	f(x)=5x^2(3x+2)(x-5)	$f (x) = 5 x^{2} (3 x + 2) (x - 5)$
169008	Simplify	(2(a^-1)^3)/(-10a^5)	$\frac{2 {(a^{- 1})}^{3}}{- 10 a^{5}}$
169009	Solve for k	4(k-8)=-32+4k	$4 (k - 8) = - 32 + 4 k$
169010	Find the Exact Value	9^(1/2)	$9^{\frac{1}{2}}$
169011	Combine Like Terms	-4y-2y^3-4+4y+5-2-2y^3	$- 4 y - 2 y^{3} - 4 + 4 y + 5 - 2 - 2 y^{3}$
169012	Evaluate Using the Given Value	4-0.25g+0.5h when g=10 and h=5	$4 - 0.25 g + 0.5 h$ when $g = 10$ and $h = 5$
169013	Simplify	(x^2+x)/x	$\frac{x^{2} + x}{x}$
169014	Solve for y	5/6=-1/3y+3/8	$\frac{5}{6} = - \frac{1}{3} y + \frac{3}{8}$
169015	Factor	-20xy+4y^2+25x^2	$- 20 x y + 4 y^{2} + 25 x^{2}$
169016	Graph	(x+2)	$(x + 2)$
169017	Find the Exact Value	8/2(2+2)	$\frac{8}{2} (2 + 2)$
169018	Simplify	( square root of -3)(9 square root of -8)	$(\sqrt{- 3}) (9 \sqrt{- 8})$
169019	Evaluate	pi*16	$π \cdot 16$
169020	Find the Perfect Square Trinomial	x^2-x/4	$x^{2} - \frac{x}{4}$
169021	Combine Like Terms	-7y^3-3y+5y-y^3-4+7y^3-7y	$- 7 y^{3} - 3 y + 5 y - y^{3} - 4 + 7 y^{3} - 7 y$
169022	Find the Axis of Symmetry	(x^2)/4-(y^2)/25=1	$\frac{x^{2}}{4} - \frac{y^{2}}{25} = 1$
169023	Solve for x	2/5(4x-3)-2x=4/5-x	$\frac{2}{5} (4 x - 3) - 2 x = \frac{4}{5} - x$
169024	Simplify	2-(x-1)/(x+2)	$2 - \frac{x - 1}{x + 2}$
169025	Solve the System of Equations	y=2x-3 y=-1/2x+2	$y = 2 x - 3$ $y = - \frac{1}{2} x + 2$
169026	Simplify	(x^-8)/(x^6*x^-7)	$\frac{x^{- 8}}{x^{6} \cdot x^{- 7}}$
169027	Evaluate	8(2)+3(5)-10+4^2	$8 (2) + 3 (5) - 10 + 4^{2}$
169028	Multiply	-2/5*2	$- \frac{2}{5} \cdot 2$
169029	Graph	3<x	$3 < x$
169030	Combine Like Terms	x^2+2y^3-3x^2+1+5-4+3y^3	$x^{2} + 2 y^{3} - 3 x^{2} + 1 + 5 - 4 + 3 y^{3}$
169031	Factor	6x^2-6xy-6x	$6 x^{2} - 6 x y - 6 x$
169032	Multiply	(2x+z)(x-3y)	$(2 x + z) (x - 3 y)$
169033	Graph	g(x)=f(-x)-2	$g (x) = f (- x) - 2$
169034	Simplify	-3(-x/3)	$- 3 (- \frac{x}{3})$
169035	Graph Using a Table of Values	f(x)=(3/2)^(-x)	$f (x) = {(\frac{3}{2})}^{- x}$
169036	Simplify	(12q^-3)/((3p^4q^-3)^-4)	$\frac{12 q^{- 3}}{{(3 p^{4} q^{- 3})}^{- 4}}$
169037	Find the First Term	a_n=n^2+1	$a_{n} = n^{2} + 1$
169038	Simplify	(9+m)(-m+9)	$(9 + m) (- m + 9)$
169039	Solve for c	2^16<4^(-2c)	$2^{16} < 4^{- 2 c}$
169040	Evaluate	3*(5+4)^2-4^2	$3 \cdot {(5 + 4)}^{2} - 4^{2}$
169041	Simplify	(10-10i)/(2+4i)	$\frac{10 - 10 i}{2 + 4 i}$
169042	Simplify	(8k+k^2-6)-(-10k+7-2k^2)	$(8 k + k^{2} - 6) - (- 10 k + 7 - 2 k^{2})$
169043	Evaluate the Function	g(x) = log base b of x , x = square root of b	$g (x) = \log_{b} (x)$ , $x = \sqrt{b}$
169044	Solve for m	2/3m-2+1/6m+3/2=1/2m	$\frac{2}{3} m - 2 + \frac{1}{6} m + \frac{3}{2} = \frac{1}{2} m$
169045	Solve the Inequality for f	5f+7<=22	$5 f + 7 \leq 22$
169046	Simplify	(3t^-1)/(-3(t^-1)^4)	$\frac{3 t^{- 1}}{- 3 {(t^{- 1})}^{4}}$
169047	Find the Function	f(x)=x^3-2	$f (x) = x^{3} - 2$
169048	Solve for x	x+5x+4=3(2x-1)	$x + 5 x + 4 = 3 (2 x - 1)$
169049	Write in Standard Form	f(x)=(x-2)^2+6	$f (x) = {(x - 2)}^{2} + 6$
169050	Find the Domain and Range	f(x) = square root of 4x+1-4	$f (x) = \sqrt{4 x + 1} - 4$
169051	Solve Using the Quadratic Formula	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
169052	Solve for b	2b-9=d	$2 b - 9 = d$
169053	Simplify	3 square root of 50* square root of 22	$3 \sqrt{50} \cdot \sqrt{22}$
169054	Solve for n	2n^2+4n-16=0	$2 n^{2} + 4 n - 16 = 0$
169055	Find the Exact Value	9^(-1/2)	$9^{- \frac{1}{2}}$
169056	Simplify	(3(y^-4)^4)/(12y^-6)	$\frac{3 {(y^{- 4})}^{4}}{12 y^{- 6}}$
169057	Simplify	(12-17)/(-5-(-2))	$\frac{12 - 17}{- 5 - (- 2)}$
169058	Find the First Term	a_n=n+4	$a_{n} = n + 4$
169059	Combine Like Terms	-2y^3+3y-3y+7y^3+1+2-5	$- 2 y^{3} + 3 y - 3 y + 7 y^{3} + 1 + 2 - 5$
169060	Find the Exact Value	cos(480 degrees )	$\cos (480 °)$
169061	Simplify	(x^-4y^6y^3)/(x^-7)	$\frac{x^{- 4} y^{6} y^{3}}{x^{- 7}}$
169062	Solve for V	r = cube root of (3V)/(4pi)	$r = \sqrt[3]{\frac{3 V}{4 π}}$
169063	Find the Holes in the Graph	f(x)=(x-3)/(3x-9)	$f (x) = \frac{x - 3}{3 x - 9}$
169064	Solve for x	2/(x+1)=4/(x+1)	$\frac{2}{x + 1} = \frac{4}{x + 1}$
169065	Simplify	(7r-3/2)-(2/3+6r)	$(7 r - \frac{3}{2}) - (\frac{2}{3} + 6 r)$
169066	Evaluate	(3^(1/5))/( fifth root of -96)	$\frac{3^{\frac{1}{5}}}{\sqrt[5]{- 96}}$
169067	Describe the Transformation	y=1/3f(x)	$y = \frac{1}{3} f (x)$
169068	Solve for a	1/(a+3)-4/(a-3)=(2a)/(a^2-9)	$\frac{1}{a + 3} - \frac{4}{a - 3} = \frac{2 a}{a^{2} - 9}$
169069	Evaluate	( cube root of 2)/( cube root of -128)	$\frac{\sqrt[3]{2}}{\sqrt[3]{- 128}}$
169070	Simplify	(x+y)/(x^2y)-(x-2y)/(xy^2)	$\frac{x + y}{x^{2} y} - \frac{x - 2 y}{x y^{2}}$
169071	Find the x and y Intercepts	f(x)=(-3x+9)/(x^2+2x-15)	$f (x) = \frac{- 3 x + 9}{x^{2} + 2 x - 15}$
169072	Simplify	( square root of 3)(2 square root of 5)-4 square root of 15	$(\sqrt{3}) (2 \sqrt{5}) - 4 \sqrt{15}$
169073	Solve the Inequality for x	2^(x-1)>32	$2^{x - 1} > 32$
169074	Solve for v	\|2+7v\|+11=27	$\| 2 + 7 v \| + 11 = 27$
169075	Graph Using a Table of Values	f(x)=-3/2(2)^x	$f (x) = - \frac{3}{2} {(2)}^{x}$
169076	Simplify	square root of 5*(- square root of 5)	$\sqrt{5} \cdot (- \sqrt{5})$
169077	Solve the Inequality for c	3(4c-5)-2c>0	$3 (4 c - 5) - 2 c > 0$
169078	Subtract	9/4-5/10	$\frac{9}{4} - \frac{5}{10}$
169079	Evaluate	f(x)=(2/3)^2	$f (x) = {(\frac{2}{3})}^{2}$
169080	Evaluate Using the Given Value	0.1m+8-12n when m=30 and n=1/4	$0.1 m + 8 - 12 n$ when $m = 30$ and $n = \frac{1}{4}$
169081	Solve for x	1+8x+9=-20+2x	$1 + 8 x + 9 = - 20 + 2 x$
169082	Solve the Absolute Value Inequality for k	-5\|3+4k\|=-115	$- 5 \| 3 + 4 k \| = - 115$
169083	Simplify	(x^-4y^-5y^2)/x	$\frac{x^{- 4} y^{- 5} y^{2}}{x}$
169084	Simplify	x(2y-5z+1)	$x (2 y - 5 z + 1)$
169085	Solve for c	(c)(4c+15)+4=0	$(c) (4 c + 15) + 4 = 0$
169086	Write in Standard Form	10y-3x+6=11	$10 y - 3 x + 6 = 11$
169087	Solve for x	2x+12/x=11	$2 x + \frac{12}{x} = 11$
169088	Solve for y	-2y+3=-4/9y-2/3-1/3y	$- 2 y + 3 = - \frac{4}{9} y - \frac{2}{3} - \frac{1}{3} y$
169089	Solve the Inequality for n	-5n-6n<=8-8n-n	$- 5 n - 6 n \leq 8 - 8 n - n$
169090	Solve the Inequality for x	x^2+2x<=8	$x^{2} + 2 x \leq 8$
169091	Simplify the Radical Expression	square root of 512k^2	$\sqrt{512 k^{2}}$
169092	Solve for h	3/2h-2+3/8h+4=7/4h	$\frac{3}{2} h - 2 + \frac{3}{8} h + 4 = \frac{7}{4} h$
169093	Solve the Inequality for x	2x-3<3x-6	$2 x - 3 < 3 x - 6$
169094	Solve for x	3/4x+5/4=4x	$\frac{3}{4} x + \frac{5}{4} = 4 x$
169095	Graph	y=1/2\|x-4\|-2	$y = \frac{1}{2} \| x - 4 \| - 2$
169096	Determine the Number of Significant Figures	5000	$5000$
169097	Solve the Rational Equation for x	(4x+1)/(x+1)-3=12/(x^2-1)	$\frac{4 x + 1}{x + 1} - 3 = \frac{12}{x^{2} - 1}$
169098	Evaluate	pi*10	$π \cdot 10$
169099	Write in Standard Form	(x-3)^2=0	${(x - 3)}^{2} = 0$
169100	Solve the Inequality for x	x-1<=2	$x - 1 \leq 2$