Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177101	Graph Using a Table of Values	y = square root of x-3	$y = \sqrt{x - 3}$
177102	Graph	y=1/2sin(x-pi/4)	$y = \frac{1}{2} \sin (x - \frac{π}{4})$
177103	Evaluate	3-5+3(2-1)+4÷2	$3 - 5 + 3 (2 - 1) + 4 \div 2$
177104	Simplify	(x^2)/(3x)+x	$\frac{x^{2}}{3 x} + x$
177105	Solve for n	4^(-3n-2)*8=16^(3n-2)	$4^{- 3 n - 2} \cdot 8 = 16^{3 n - 2}$
177106	Find the Exact Value	- square root of 16	$- \sqrt{16}$
177107	Evaluate	3/2+(-5/2)+(-2)	$\frac{3}{2} + (- \frac{5}{2}) + (- 2)$
177108	Simplify	(z^(-1/3))/(z^(-5/6))	$\frac{z^{- \frac{1}{3}}}{z^{- \frac{5}{6}}}$
177109	Write in Standard Form	x(2x-4)=(x-2)(x-2)	$x (2 x - 4) = (x - 2) (x - 2)$
177110	Simplify	((8^4)/(10^4))^(-1/4)	${(\frac{8^{4}}{10^{4}})}^{- \frac{1}{4}}$
177111	Evaluate	(2!8!)/(4!6!)	$\frac{2! 8!}{4! 6!}$
177112	Find the Distance Between Two Points	(2,3) and (-3,-6)	$(2, 3)$ and $(- 3, - 6)$
177113	Solve the Absolute Value Inequality for t	\|t/2\|=6	$\| \frac{t}{2} \| = 6$
177114	Solve the Inequality for n	n-4<5	$n - 4 < 5$
177115	Solve for a	S=n/2(a+L)	$S = \frac{n}{2} (a + L)$
177116	Solve for a	p=a/b	$p = \frac{a}{b}$
177117	Simplify	50+10*0+7+2	$50 + 10 \cdot 0 + 7 + 2$
177118	Find All Complex Solutions	square root of x+12=x	$\sqrt{x + 12} = x$
177119	Solve for x	2/7(x+4)=-6	$\frac{2}{7} (x + 4) = - 6$
177120	Find the Roots (Zeros)	2x^2-10=0	$2 x^{2} - 10 = 0$
177121	Graph	y=3- square root of 1-x	$y = 3 - \sqrt{1 - x}$
177122	Graph	y<=-x+1 y>x	$y \leq - x + 1$ $y > x$
177123	Solve the Inequality for x	x/3+7>12	$\frac{x}{3} + 7 > 12$
177124	Find the Exact Value	f^-1(-3)	$f^{- 1} (- 3)$
177125	Solve the Absolute Value Inequality for x	\|x+7\|<=4	$\| x + 7 \| \leq 4$
177126	Evaluate	(22222222)/(2222)	$\frac{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2}{2 \cdot 2 \cdot 2 \cdot 2}$
177127	Solve the Inequality for C	C=5/9(F-32)	$C = \frac{5}{9} (F - 32)$
177128	Evaluate	(2x^2)^-4	${(2 x^{2})}^{- 4}$
177129	Solve Using the Quadratic Formula	a+b	$a + b$
177130	Rationalize the Numerator	( square root of x+5- square root of 5)/x	$\frac{\sqrt{x + 5} - \sqrt{5}}{x}$
177131	Solve for θ	sin(theta)^2-2sin(theta)+1=0	$\sin^{2} (θ) - 2 \sin (θ) + 1 = 0$
177132	Graph	m(x)=2/3x	$m (x) = \frac{2}{3} x$
177133	Simplify	y^2 square root of 63x^5y^4	$y^{2} \sqrt{63 x^{5} y^{4}}$
177134	Solve for w	(w-2)/w=3/6	$\frac{w - 2}{w} = \frac{3}{6}$
177135	Find the Exact Value	2+1/2	$2 + \frac{1}{2}$
177136	Solve the Inequality for x	x/2>=5/(x+1)+4	$\frac{x}{2} \geq \frac{5}{x + 1} + 4$
177137	Graph	y>=-3/2x-7 y>=x+8	$y \geq - \frac{3}{2} x - 7$ $y \geq x + 8$
177138	Evaluate	cube root of 3 3/8	$\sqrt[3]{3 \frac{3}{8}}$
177139	Graph Using a Table of Values	f(x)=1/(x+3)	$f (x) = \frac{1}{x + 3}$
177140	Solve for y	4y-3a=13a	$4 y - 3 a = 13 a$
177141	Solve the Inequality for x	5x+12+3x<36	$5 x + 12 + 3 x < 36$
177142	Solve for x	-3\|1-2/3x\|=-9	$- 3 \| 1 - \frac{2}{3} x \| = - 9$
177143	Find the Product	(m-3)(m+3)	$(m - 3) (m + 3)$
177144	Solve the System of Inequalities	-24<2x-4<-10	$- 24 < 2 x - 4 < - 10$
177145	Evaluate	(x^2+3)^2+3	${(x^{2} + 3)}^{2} + 3$
177146	Simplify	(-7x^5y^5z^4)/(21x^7y^5z^2)	$\frac{- 7 x^{5} y^{5} z^{4}}{21 x^{7} y^{5} z^{2}}$
177147	Solve for b	35=2b+5b	$35 = 2 b + 5 b$
177148	Solve for y	11-1/2y=3+6x for y	$11 - \frac{1}{2} y = 3 + 6 x$ for $y$
177149	Solve for a	B(a+c)=ac	$B (a + c) = a c$
177150	Rationalize the Denominator	( square root of 3-1)/(2+ square root of 3)	$\frac{\sqrt{3} - 1}{2 + \sqrt{3}}$
177151	Solve the System of Equations	y=1/2x-6 x=-4	$y = \frac{1}{2} x - 6$ $x = - 4$
177152	Convert to Interval Notation	b+12/7>=1/3	$b + \frac{12}{7} \geq \frac{1}{3}$
177153	Simplify	sec(x)cos(x)-sin(x)^2	$\sec (x) \cos (x) - \sin^{2} (x)$
177154	Find the Product	(-432)^2	${(- 4 \cdot 3 \cdot 2)}^{2}$
177155	Simplify	(2a^2)^2(bc^2)^3	${(2 a^{2})}^{2} {(b c^{2})}^{3}$
177156	Evaluate	( square root of 5+ square root of 3)/( square root of 5- square root of 3)+( square root of 5- square root of 3)/( square root of 5+ square root of 3)	$\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}} + \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$
177157	Evaluate	A=1/2pir^2	$A = \frac{1}{2} π r^{2}$
177158	Simplify	2r+2+5r-2+r	$2 r + 2 + 5 r - 2 + r$
177159	Solve for w	w^2=36/100	$w^{2} = \frac{36}{100}$
177160	Solve for x	8^(1/6)*2^x=32^(1/2)	$8^{\frac{1}{6}} \cdot 2^{x} = 32^{\frac{1}{2}}$
177161	Simplify	(x/(x-5))/(x/(x-5)-5)	$\frac{\frac{x}{x - 5}}{\frac{x}{x - 5} - 5}$
177162	Find All Complex Solutions	\|x\|=3	$\| x \| = 3$
177163	Find All Complex Solutions	60z+50-97z=-37z+49	$60 z + 50 - 97 z = - 37 z + 49$
177164	Solve for u	-10.74=u-(-11)	$- 10.74 = u - (- 11)$
177165	Solve for a	p=(n^2+a)/(n+a)	$p = \frac{n^{2} + a}{n + a}$
177166	Solve for x	9^(2x+3)=(1/27)^(3x+1)	$9^{2 x + 3} = {(\frac{1}{27})}^{3 x + 1}$
177167	Solve for x	-9/(x+4)-2/(x^2+4x)=-4	$- \frac{9}{x + 4} - \frac{2}{x^{2} + 4 x} = - 4$
177168	Solve for x	x^2=3^2+4^2	$x^{2} = 3^{2} + 4^{2}$
177169	Graph	y-1=-1/2(x-4)	$y - 1 = - \frac{1}{2} (x - 4)$
177170	Solve for x	x^3-3x^2+3x-1=0	$x^{3} - 3 x^{2} + 3 x - 1 = 0$
177171	Combine Like Terms	8y+4-3y-5	$8 y + 4 - 3 y - 5$
177172	Solve for d	2(3d+3)=7+6d	$2 (3 d + 3) = 7 + 6 d$
177173	Simplify	(x-6)/(x-1)*(5x^2-5x)/(x-6)	$\frac{x - 6}{x - 1} \cdot \frac{5 x^{2} - 5 x}{x - 6}$
177174	Solve for x	2^((x-1)(x+2)(x-7)(x+8))=1	$2^{(x - 1) (x + 2) (x - 7) (x + 8)} = 1$
177175	Solve for y	y^3=y	$y^{3} = y$
177176	Evaluate	8*(2+3)^2-4^2	$8 \cdot {(2 + 3)}^{2} - 4^{2}$
177177	Solve Using the Quadratic Formula	x^3+1=0	$x^{3} + 1 = 0$
177178	Simplify	x^3 square root of 175x^7y^5	$x^{3} \sqrt{175 x^{7} y^{5}}$
177179	Graph	2-x^2=-x	$2 - x^{2} = - x$
177180	Find the Midpoint	(-8,-6) and (2,-10)	$(- 8, - 6)$ and $(2, - 10)$
177181	Solve for x	7^(3x+4)<49^(2x+1)	$7^{3 x + 4} < 49^{2 x + 1}$
177182	Find the Holes in the Graph	y=(x-1)/(x^2+6x+8)	$y = \frac{x - 1}{x^{2} + 6 x + 8}$
177183	Evaluate the Function	f(0)=3^0	$f (0) = 3^{0}$
177184	Solve for b	square root of b+10 = square root of 1-2b	$\sqrt{b + 10} = \sqrt{1 - 2 b}$
177185	Graph	1/2cos(x)	$\frac{1}{2} \cos (x)$
177186	Graph Using a Table of Values	f(x)=2/(x+2)	$f (x) = \frac{2}{x + 2}$
177187	Evaluate	4/3pi(2r)^3	$\frac{4}{3} π {(2 r)}^{3}$
177188	Solve Using the Quadratic Formula	2(x-7)^2=2	$2 {(x - 7)}^{2} = 2$
177189	Find the First Term	4n+1	$4 n + 1$
177190	Solve for x	natural log of 1-2x = natural log of 2-x	$\ln (1 - 2 x) = \ln (2 - x)$
177191	Solve for b	12b+9=12b+11	$12 b + 9 = 12 b + 11$
177192	Solve for x	-e^(-x)=0	$- e^{- x} = 0$
177193	Solve for x	\|x\|+5>=11	$\| x \| + 5 \geq 11$
177194	Find the Midpoint	(-5,5) and (-10,2)	$(- 5, 5)$ and $(- 10, 2)$
177195	Solve Using the Quadratic Formula	1/4q^2+3/4q=-1/3	$\frac{1}{4} q^{2} + \frac{3}{4} q = - \frac{1}{3}$
177196	Solve for a	1/3ab^2=6	$\frac{1}{3} a b^{2} = 6$
177197	Solve for x	-27/5=x-9	$- \frac{27}{5} = x - 9$
177198	Solve the Inequality for x	4x^2-25<0	$4 x^{2} - 25 < 0$
177199	Solve for x	(2x+8)/6+8=x-4	$\frac{2 x + 8}{6} + 8 = x - 4$
177200	Simplify	((x+3)/(4x^2-9))÷((x^2+7x+12)/(2x^2+7x-15))	$\frac{x + 3}{4 x^{2} - 9} \div \frac{x^{2} + 7 x + 12}{2 x^{2} + 7 x - 15}$