Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179001	Graph	7<-(-k-3)+2	$7 < - (- k - 3) + 2$
179002	Solve the Inequality for x	x^3>=8x^2	$x^{3} \geq 8 x^{2}$
179003	Evaluate	-57+95/5	$- 5 \cdot 7 + 9 \cdot \frac{5}{5}$
179004	Simplify	(2^5)/2	$\frac{2^{5}}{2}$
179005	Find the Exact Value	log base 3 of 1/3	$\log_{3} (\frac{1}{3})$
179006	Solve for x	5/x-2=2/(x+3)	$\frac{5}{x} - 2 = \frac{2}{x + 3}$
179007	Solve for x	x+(x+2)/(x-5)=7/(x-5)	$x + \frac{x + 2}{x - 5} = \frac{7}{x - 5}$
179008	Solve for h	f=1/3(g+h-k)	$f = \frac{1}{3} (g + h - k)$
179009	Solve for x	x^2+x=5	$x^{2} + x = 5$
179010	Expand the Logarithmic Expression	log base 4 of (2w^4)^3	$\log_{4} ({(2 w^{4})}^{3})$
179011	Solve for x	q(x)=12x-3 , q(x)=-4	$q (x) = 12 x - 3$ , $q (x) = - 4$
179012	Find the Product	(a+1)^2	${(a + 1)}^{2}$
179013	Write in Standard Form	(-8y^2-9y)-(-8y^3+9y^2-5y)	$(- 8 y^{2} - 9 y) - (- 8 y^{3} + 9 y^{2} - 5 y)$
179014	Simplify	2(5 square root of 2)	$2 (5 \sqrt{2})$
179015	Find All Complex Solutions	square root of 2x=x-4	$\sqrt{2 x} = x - 4$
179016	Find the Perfect Square Trinomial	x^2-49	$x^{2} - 49$
179017	Simplify	- square root of 2( square root of 10-4 square root of 6)	$- \sqrt{2} (\sqrt{10} - 4 \sqrt{6})$
179018	Find the Midpoint	(4,2) and (1,8)	$(4, 2)$ and $(1, 8)$
179019	Multiply	(7-i)(7-2i)(7-3i)	$(7 - i) \cdot (7 - 2 i) \cdot (7 - 3 i)$
179020	Find g(f(x))	f(x)=3x-5 , g(x)=2x+1	$f (x) = 3 x - 5$ , $g (x) = 2 x + 1$
179021	Solve for x	x-1 = square root of 5x-9	$x - 1 = \sqrt{5 x - 9}$
179022	Solve for b	y=x^2+bx+c	$y = x^{2} + b x + c$
179023	Solve for m	e^m=37	$e^{m} = 37$
179024	Solve the Inequality for x	(x-4)(x+3)>0	$(x - 4) (x + 3) > 0$
179025	Solve for d	7/8d+7-3/4d=1/4(3d-2)	$\frac{7}{8} d + 7 - \frac{3}{4} d = \frac{1}{4} (3 d - 2)$
179026	Solve for x	pi/2=(2pi)/x	$\frac{π}{2} = \frac{2 π}{x}$
179027	Graph	y>2x-1 y>-x+8	$y > 2 x - 1$ $y > - x + 8$
179028	Solve the Inequality for x	10x>=80	$10 x \geq 80$
179029	Solve the System of Inequalities	15>=x+7 or x+7<19	$15 \geq x + 7$ or $x + 7 < 19$
179030	Find the Midpoint	(7,-6) and (4,-10)	$(7, - 6)$ and $(4, - 10)$
179031	Find All Complex Solutions	sin(2x)+2cos(x)=0	$\sin (2 x) + 2 \cos (x) = 0$
179032	Simplify	4x^2 square root of 24x^7y^3	$4 x^{2} \sqrt{24 x^{7} y^{3}}$
179033	Simplify	6x square root of 112-6 square root of 7x^2	$6 x \sqrt{112} - 6 \sqrt{7 x^{2}}$
179034	Solve for x	(5x+6)^2-3=50	${(5 x + 6)}^{2} - 3 = 50$
179035	Solve the Rational Equation for x	2/(3x)+3/4=1/x	$\frac{2}{3 x} + \frac{3}{4} = \frac{1}{x}$
179036	Simplify	(5(x/4)-1)/(9(x/4)-4)	$\frac{5 (\frac{x}{4}) - 1}{9 (\frac{x}{4}) - 4}$
179037	Solve the Inequality for x	9x-8>4x+7	$9 x - 8 > 4 x + 7$
179038	Simplify	2y^2 square root of 8x^4y^4	$2 y^{2} \sqrt{8 x^{4} y^{4}}$
179039	Solve for a	5a+c=-8a	$5 a + c = - 8 a$
179040	Solve for x	9(x^2-10)-3=7	$9 (x^{2} - 10) - 3 = 7$
179041	Graph	f(x)=x/(x^2-x)	$f (x) = \frac{x}{x^{2} - x}$
179042	Solve for w	-(1/4w+8)+8=3	$- (\frac{1}{4} w + 8) + 8 = 3$
179043	Multiply	(5-4x^3)(5+4x^3)	$(5 - 4 x^{3}) (5 + 4 x^{3})$
179044	Subtract	10--6	$10 - - 6$
179045	Solve the Absolute Value Inequality for w	2\|4w-1\|=3\|4w+2\|	$2 \| 4 w - 1 \| = 3 \| 4 w + 2 \|$
179046	Graph	f(x)>-2x^2+8x-12	$f (x) > - 2 x^{2} + 8 x - 12$
179047	Solve the Rational Equation for n	1/(n^2)+1/n=1/(2n^2)	$\frac{1}{n^{2}} + \frac{1}{n} = \frac{1}{2 n^{2}}$
179048	Graph Using a Table of Values	f(x)=6	$f (x) = 6$
179049	Simplify	(6a^2-7b+3c^3+4)-(9a^2+6b-3c^3+4)	$(6 a^{2} - 7 b + 3 c^{3} + 4) - (9 a^{2} + 6 b - 3 c^{3} + 4)$
179050	Solve the Inequality for x	x^2-9x+18<0	$x^{2} - 9 x + 18 < 0$
179051	Evaluate	(8/4)^2-16/(8-4)	${(\frac{8}{4})}^{2} - \frac{16}{8 - 4}$
179052	Find the Holes in the Graph	(x+3)/(x^2-9)	$\frac{x + 3}{x^{2} - 9}$
179053	Simplify	(6x-9-2x)(8+5x-5)	$(6 x - 9 - 2 x) (8 + 5 x - 5)$
179054	Write in Standard Form	x^2=9	$x^{2} = 9$
179055	Solve for x	x^(1/2)+3x^(-1/2)=10x^(-3/2)	$x^{\frac{1}{2}} + 3 x^{- \frac{1}{2}} = 10 x^{- \frac{3}{2}}$
179056	Simplify	-4x+3y+x-2z+2y	$- 4 x + 3 y + x - 2 z + 2 y$
179057	Find the Inverse	f(x)=(x^7)/7	$f (x) = \frac{x^{7}}{7}$
179058	Solve Using the Quadratic Formula	f(x)=x^2+4x+1	$f (x) = x^{2} + 4 x + 1$
179059	Graph	(-5,9)	$(- 5, 9)$
179060	Simplify	(2a)/b+a/(2b)-a/b+(2a)/(3b)	$\frac{2 a}{b} + \frac{a}{2 b} - \frac{a}{b} + \frac{2 a}{3 b}$
179061	Simplify	\|5-(-1)\|	$\| 5 - (- 1) \|$
179062	Find the Roots (Zeros)	f(x)=8x^7-x^5+x^3+6	$f (x) = 8 x^{7} - x^{5} + x^{3} + 6$
179063	Find the Midpoint	(2,2) and (10,8)	$(2, 2)$ and $(10, 8)$
179064	Find All Complex Solutions	4(y-30)=4y+12	$4 (y - 30) = 4 y + 12$
179065	Solve for p	2(p-1)-3(p-4)=4p	$2 (p - 1) - 3 (p - 4) = 4 p$
179066	Solve for w	3(2+w)-w=6+2(w+1)	$3 (2 + w) - w = 6 + 2 (w + 1)$
179067	Simplify	(5-x)/(x^2-3x)	$\frac{5 - x}{x^{2} - 3 x}$
179068	Solve the Inequality for x	x^2-1<=0	$x^{2} - 1 \leq 0$
179069	Find the Midpoint	(-3,6) and (3,0)	$(- 3, 6)$ and $(3, 0)$
179070	Simplify	cube root of y(5 cube root of 8y^3- cube root of y^5-2y cube root of 64y^2)	$\sqrt[3]{y} (5 \sqrt[3]{8 y^{3}} - \sqrt[3]{y^{5}} - 2 y \sqrt[3]{64 y^{2}})$
179071	Solve the Inequality for x	2<x+2<5	$2 < x + 2 < 5$
179072	Simplify	square root of 3x^2y* cube root of 27x^3y^2	$\sqrt{3 x^{2} y} \cdot \sqrt[3]{27 x^{3} y^{2}}$
179073	Find the x and y Intercepts	(x-4)(-x-3)=y	$(x - 4) (- x - 3) = y$
179074	Solve the System of Equations	-3x-8y=20 -5x+y=19	$- 3 x - 8 y = 20$ $- 5 x + y = 19$
179075	Convert to Polar	x=-2	$x = - 2$
179076	Solve for x	\|x-1\|>=15	$\| x - 1 \| \geq 15$
179077	Graph	y<=x+6 y>-3/2x-4	$y \leq x + 6$ $y > - \frac{3}{2} x - 4$
179078	Factor	2x^2+14x=0	$2 x^{2} + 14 x = 0$
179079	Solve for m	-3/2m=1/2m-6(1/2m+3)	$- \frac{3}{2} m = \frac{1}{2} m - 6 (\frac{1}{2} m + 3)$
179080	Simplify	(x^(4/3)y^(2/3))/((xy)^(1/3))	$\frac{x^{\frac{4}{3}} y^{\frac{2}{3}}}{{(x y)}^{\frac{1}{3}}}$
179081	Simplify	(36k^3m)/(24k^4mn^5)	$\frac{36 k^{3} m}{24 k^{4} m n^{5}}$
179082	Write in Exponential Form	( square root of 7b)^3	${(\sqrt{7 b})}^{3}$
179083	Solve for b	x/a+y/b=1	$\frac{x}{a} + \frac{y}{b} = 1$
179084	Find the x and y Intercepts	f(x)=x^2+x	$f (x) = x^{2} + x$
179085	Combine Like Terms	1/2(3/5x-8)+7/4(2/5x+4)	$\frac{1}{2} (\frac{3}{5} x - 8) + \frac{7}{4} (\frac{2}{5} x + 4)$
179086	Subtract	(2x^2-1)-(4x^2+2)	$(2 x^{2} - 1) - (4 x^{2} + 2)$
179087	Graph	y=1/2 cube root of -x	$y = \frac{1}{2} \sqrt[3]{- x}$
179088	Evaluate	(4!)/((4-4)!4!)	$\frac{4!}{(4 - 4)! 4!}$
179089	Evaluate	75^2+5-75	$7 \cdot 5^{2} + 5 - 7 \cdot 5$
179090	Solve for a	-3a-3=-2n+3p ; for a	$- 3 a - 3 = - 2 n + 3 p$ ; for $a$
179091	Convert to a Simplified Fraction	4/10	$\frac{4}{10}$
179092	Graph	f(x)=3x-2 if x<=-1; 2x-13 if x>2	$f (x) = {\begin{cases} 3 x - 2 & x \leq - 1 \\ 2 x - 13 & x > 2 \end{cases}$
179093	Multiply	cube root of x^2* fourth root of x^3	$\sqrt[3]{x^{2}} \cdot \sqrt[4]{x^{3}}$
179094	Graph	f(x)=x^5-x^4+x^2+8	$f (x) = x^{5} - x^{4} + x^{2} + 8$
179095	Find h(g(x))	g(x)=9x-2 h(x)=3x^2+2x	$g (x) = 9 x - 2$ $h (x) = 3 x^{2} + 2 x$
179096	Solve the Absolute Value Inequality for x	-7\|x+12\|<=-14	$- 7 \| x + 12 \| \leq - 14$
179097	Graph Using a Table of Values	y = log base 5 of x	$y = \log_{5} (x)$
179098	Solve for x	(x-3)/5-(4-3x)/3=2/15	$\frac{x - 3}{5} - \frac{4 - 3 x}{3} = \frac{2}{15}$
179099	Factor	x^2+x-30=0	$x^{2} + x - 30 = 0$
179100	Solve for x	0.49^x>0.7^(x+1)	${0.49}^{x} > {0.7}^{x + 1}$