Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196201	Find the Distance Between Two Points	(1,0) and (-8,3)	$(1, 0)$ and $(- 8, 3)$
196202	Solve for x	5cx=p+q	$5 c x = p + q$
196203	Solve the Inequality for r	2r-9>=-6	$2 r - 9 \geq - 6$
196204	Find the Roots (Zeros)	x^3-x^2=4-4x	$x^{3} - x^{2} = 4 - 4 x$
196205	Find the Exact Value	tan((1pi)/6)	$\tan (\frac{1 π}{6})$
196206	Solve for x	sin(2x)=-cos(x)	$\sin (2 x) = - \cos (x)$
196207	Simplify	3(1/2)	$3 (\frac{1}{2})$
196208	Evaluate	(a-b)(a+b)	$(a - b) (a + b)$
196209	Solve for x	2>-\|(x-8)/5+3/5\|	$2 > - \| \frac{x - 8}{5} + \frac{3}{5} \|$
196210	Solve the Inequality for x	3/5x+1/3<4/5x-1/3	$\frac{3}{5} x + \frac{1}{3} < \frac{4}{5} x - \frac{1}{3}$
196211	Find the LCD	1/(x+7) and 8/(x-7)	$\frac{1}{x + 7}$ and $\frac{8}{x - 7}$
196212	Find the Holes in the Graph	5/(3x+2)	$\frac{5}{3 x + 2}$
196213	Find f(g(x))	f(x)=8x+1 , g(x) = square root of x	$f (x) = 8 x + 1$ , $g (x) = \sqrt{x}$
196214	Find All Complex Solutions	2sin(2x)- square root of 3=0	$2 \sin (2 x) - \sqrt{3} = 0$
196215	Evaluate	1/4(2)^4-1/2(2)^2	$\frac{1}{4} {(2)}^{4} - \frac{1}{2} {(2)}^{2}$
196216	Divide	(28x^9y^6-49x^7y^3-7x^2y)/(7x^2y)	$\frac{28 x^{9} y^{6} - 49 x^{7} y^{3} - 7 x^{2} y}{7 x^{2} y}$
196217	Simplify	i/(-2-8i)	$\frac{i}{- 2 - 8 i}$
196218	Simplify the Radical Expression	( square root of 12+6)(- square root of 8- square root of 2)	$(\sqrt{12} + 6) (- \sqrt{8} - \sqrt{2})$
196219	Solve for x	2(6x+4)-6+2x=3(4x+3)+1	$2 (6 x + 4) - 6 + 2 x = 3 (4 x + 3) + 1$
196220	Simplify	(5x^7y^-1)^-2	${(5 x^{7} y^{- 1})}^{- 2}$
196221	Solve for x	5x+3x-4=5+7x	$5 x + 3 x - 4 = 5 + 7 x$
196222	Factor	x^4+2x^3+x^2+8x-12	$x^{4} + 2 x^{3} + x^{2} + 8 x - 12$
196223	Simplify	(x+2)/(x^3-1)-1/(x-1)	$\frac{x + 2}{x^{3} - 1} - \frac{1}{x - 1}$
196224	Divide Using Long Polynomial Division	(3x-4x^3+6x^4+1)/(x+3)	$\frac{(3 x - 4 x^{3} + 6 x^{4} + 1)}{(x + 3)}$
196225	Graph Using a Table of Values	f(x)=(x-2)/(x+2)	$f (x) = \frac{x - 2}{x + 2}$
196226	Evaluate	30/360(2pi*4)	$\frac{30}{360} (2 π \cdot 4)$
196227	Solve for x	6x-1=-3+4.4(x+6.4)+2x	$6 x - 1 = - 3 + 4.4 (x + 6.4) + 2 x$
196228	Evaluate	f(x)=-1^2	$f (x) = - 1^{2}$
196229	Describe the Transformation	g(x)=-f(x)+3	$g (x) = - f (x) + 3$
196230	Graph	(2,-1) and (3,2)	$(2, - 1)$ and $(3, 2)$
196231	Simplify	(x^2-4x)/(16-x^2)	$\frac{x^{2} - 4 x}{16 - x^{2}}$
196232	Find All Complex Solutions	theta=pi/4	$θ = \frac{π}{4}$
196233	Solve for m	m/1.15=k	$\frac{m}{1.15} = k$
196234	Solve for x	-4+6x=2(3x-2)	$- 4 + 6 x = 2 (3 x - 2)$
196235	Find the Roots (Zeros)	-8x+30=-3x^2+5x	$- 8 x + 30 = - 3 x^{2} + 5 x$
196236	Describe the Transformation	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
196237	Solve the System of Inequalities	y<=x+1 y<-x/2-1	$y \leq x + 1$ $y < - \frac{x}{2} - 1$
196238	Simplify	e^x*e^(2x)	$e^{x} \cdot e^{2 x}$
196239	Graph	5x-8f(x)-20=0	$5 x - 8 f (x) - 20 = 0$
196240	Evaluate	3x+15=3(x+5)	$3 x + 15 = 3 (x + 5)$
196241	Simplify	( square root of 72)/3+ square root of 50	$\frac{\sqrt{72}}{3} + \sqrt{50}$
196242	Graph	y=-1/3x-3 y=x-7	$y = - \frac{1}{3} x - 3$ $y = x - 7$
196243	Simplify	(3^2)/(3^3)	$\frac{3^{2}}{3^{3}}$
196244	Solve the System of Equations	x^2+y^2=9 x^2-y^2=1	$x^{2} + y^{2} = 9$ $x^{2} - y^{2} = 1$
196245	Graph Using a Table of Values	g(x)=(1/2)^(x+1)	$g (x) = {(\frac{1}{2})}^{x + 1}$
196246	Solve for x	2/3(6x+3)=4x+2	$\frac{2}{3} (6 x + 3) = 4 x + 2$
196247	Simplify	((x^-2y^-3)^-2)/((6x^-2y^-1)^-1)	$\frac{{(x^{- 2} y^{- 3})}^{- 2}}{{(6 x^{- 2} y^{- 1})}^{- 1}}$
196248	Simplify	-(2x)/x	$- \frac{2 x}{x}$
196249	Graph	f(x)=-\|2x\|	$f (x) = - \| 2 x \|$
196250	Solve for x	x/b=x/c+a	$\frac{x}{b} = \frac{x}{c} + a$
196251	Evaluate Using the Given Value	w^2-3 , w=4	$w^{2} - 3$ , $w = 4$
196252	Solve for x	-3(-10x+7)=7+8(3/2x-5/2)+4x	$- 3 (- 10 x + 7) = 7 + 8 (\frac{3}{2} x - \frac{5}{2}) + 4 x$
196253	Evaluate	sixth root of 1/2 sixth root of 128	$\sqrt[6]{\frac{1}{2}} \sqrt[6]{128}$
196254	Simplify the Radical Expression	2 square root of 12-3 square root of 75+ square root of 27	$2 \sqrt{12} - 3 \sqrt{75} + \sqrt{27}$
196255	Solve the Inequality for x	x+2<3x-2	$x + 2 < 3 x - 2$
196256	Simplify	4x^0+x^1+5	$4 x^{0} + x^{1} + 5$
196257	Solve the System of Equations	x-y+z=-3 x-y-z=-3 5x-5y+z=-15	$x - y + z = - 3$ $x - y - z = - 3$ $5 x - 5 y + z = - 15$
196258	Simplify	(6^-2)/(6^-1)	$\frac{6^{- 2}}{6^{- 1}}$
196259	Divide	(-26a^5b^6)/(-13b^3)	$\frac{- 26 a^{5} b^{6}}{- 13 b^{3}}$
196260	Convert to Radical Form	(d^(1/8))^5	${(d^{\frac{1}{8}})}^{5}$
196261	Combine Like Terms	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
196262	Evaluate	(1/2*2)^2	${(\frac{1}{2} \cdot 2)}^{2}$
196263	Simplify	(4c^4)(ac^3)(3a^5c)	$(4 c^{4}) (a c^{3}) (3 a^{5} c)$
196264	Find the x and y Intercepts	r(x)=(x^2+5x-14)/((x+1)(x-3)(x+7))	$r (x) = \frac{x^{2} + 5 x - 14}{(x + 1) (x - 3) (x + 7)}$
196265	Simplify	(1-(sin(theta)+cos(theta))(sin(theta)+cos(theta)))/(sin(theta)cos(theta))	$\frac{1 - (\sin (θ) + \cos (θ)) (\sin (θ) + \cos (θ))}{\sin (θ) \cos (θ)}$
196266	Evaluate	(9x^2-8)+(9x^2+9x+3)	$(9 x^{2} - 8) + (9 x^{2} + 9 x + 3)$
196267	Find P(d(x))	P(x)=x^3-8 d(x)=x+2	$P (x) = x^{3} - 8$ $d (x) = x + 2$
196268	Solve for v	((3*6)÷2)v+10=3^2v+9	$(3 \cdot 6 \div 2) v + 10 = 3^{2} v + 9$
196269	Simplify	((5y)/(y^2+4y+4))÷((20y^2)/(y^2-4))	$\frac{5 y}{y^{2} + 4 y + 4} \div \frac{20 y^{2}}{y^{2} - 4}$
196270	Solve for x	-x-2.9(-3x-7)+5=-(-4.9x+4.8)	$- x - 2.9 (- 3 x - 7) + 5 = - (- 4.9 x + 4.8)$
196271	Solve for x	2/3=(x+9)/12	$\frac{2}{3} = \frac{x + 9}{12}$
196272	Evaluate	(9x^2+7x-6)-(3x^2-8x+7)	$(9 x^{2} + 7 x - 6) - (3 x^{2} - 8 x + 7)$
196273	Graph	y<2x+5 2x-y<=3	$y < 2 x + 5$ $2 x - y \leq 3$
196274	Evaluate	x*x^(1/2)	$x \cdot x^{\frac{1}{2}}$
196275	Solve the Inequality for m	-9<m-6	$- 9 < m - 6$
196276	Factor	x^2+2x+xy+y+1	$x^{2} + 2 x + x y + y + 1$
196277	Factor	f(x)=x^3-2x^2+x	$f (x) = x^{3} - 2 x^{2} + x$
196278	Find the Degree	2x^2y^2+6x^2y-6xy	$2 x^{2} y^{2} + 6 x^{2} y - 6 x y$
196279	Solve for p	7 square root of 1-9p=56	$7 \sqrt{1 - 9 p} = 56$
196280	Simplify	(7-7/(3x))/(5/x-5/(3x^2))	$\frac{7 - \frac{7}{3 x}}{\frac{5}{x} - \frac{5}{3 x^{2}}}$
196281	Graph	find f(-2)	find $f (- 2)$
196282	Simplify	(4x^2-3x+9)+(7x^2-11)+(-x^2+7x-2)	$(4 x^{2} - 3 x + 9) + (7 x^{2} - 11) + (- x^{2} + 7 x - 2)$
196283	Simplify	6+3-2x-9	$6 + 3 - 2 x - 9$
196284	Describe the Transformation	g(x)=-2f(x)	$g (x) = - 2 f (x)$
196285	Find the Roots (Zeros)	(x+1)^2+(x-8)^2=45	${(x + 1)}^{2} + {(x - 8)}^{2} = 45$
196286	Find the Inverse	y=(1-e^(-x))/(1+e^(-x))	$y = \frac{1 - e^{- x}}{1 + e^{- x}}$
196287	Solve for x	-9/(x^2)+1=0	$- \frac{9}{x^{2}} + 1 = 0$
196288	Solve for x	1/x=y	$\frac{1}{x} = y$
196289	Graph	y=-5/3x-6 2x-3y=-24	$y = - \frac{5}{3} x - 6$ $2 x - 3 y = - 24$
196290	Simplify	5x^2-2x-5 from -2x^2-5x-7	$5 x^{2} - 2 x - 5$ from $- 2 x^{2} - 5 x - 7$
196291	Simplify	f(-3/2)	$f (- \frac{3}{2})$
196292	Evaluate	( fifth root of -8)^8	${(\sqrt[5]{- 8})}^{8}$
196293	Solve by Addition/Elimination	x+3y-z=2 x+y-z=0 3x+2y-3z=-1	$x + 3 y - z = 2$ $x + y - z = 0$ $3 x + 2 y - 3 z = - 1$
196294	Solve for x	7x^2+1=8	$7 x^{2} + 1 = 8$
196295	Evaluate	-1/2(-1)-1	$- \frac{1}{2} (- 1) - 1$
196296	Solve for x	square root of 4-x^2=0	$\sqrt{4 - x^{2}} = 0$
196297	Simplify	( square root of 21(x-1))÷( square root of 7x^2)	$\sqrt{21 (x - 1)} \div \sqrt{7 x^{2}}$
196298	Graph	y = cube root of 5-x+4	$y = \sqrt[3]{5 - x} + 4$
196299	Solve the Inequality for x	-x+4<1/2x+1	$- x + 4 < \frac{1}{2} x + 1$
196300	Convert to Interval Notation	x<=2 or x>=10	$x \leq 2$ or $x \geq 10$