Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218701	Simplify	square root of x+2-2/( square root of x+2)	$\sqrt{x + 2} - \frac{2}{\sqrt{x + 2}}$
218702	Solve by Substitution	7x^2+3y^2-24y=139 x-y=9	$7 x^{2} + 3 y^{2} - 24 y = 139$ $x - y = 9$
218703	Find the Equation with a Point and y-intercept	Write an equation of the line with a slope of 2 and y-intercept of 9	Write an equation of the line with a slope of $2$ and y-intercept of $9$
218704	Find the x and y Intercepts	(x+2)(x-3)	$(x + 2) (x - 3)$
218705	Solve the Inequality for x	x^3-4x^2+x+6<=0	$x^{3} - 4 x^{2} + x + 6 \leq 0$
218706	Evaluate	3x+17-5x=12-(6x+3)	$3 x + 17 - 5 x = 12 - (6 x + 3)$
218707	Evaluate	square root of (( square root of 11)/11)^2+(( square root of 11)/11)^2+((3 square root of 11)/11)^2	$\sqrt{{(\frac{\sqrt{11}}{11})}^{2} + {(\frac{\sqrt{11}}{11})}^{2} + {(\frac{3 \sqrt{11}}{11})}^{2}}$
218708	Solve for a	-7=(5+a)/4	$- 7 = \frac{5 + a}{4}$
218709	Simplify	( cube root of x^8y^4)/( cube root of x^2y)	$\frac{\sqrt[3]{x^{8} y^{4}}}{\sqrt[3]{x^{2} y}}$
218710	Solve the System of Equations	2x-6=4y 7y=-3x+9	$2 x - 6 = 4 y$ $7 y = - 3 x + 9$
218711	Graph	y>(-1/3)x+4	$y > (- \frac{1}{3}) x + 4$
218712	Solve for n	2.5(n-10.7)+5=18.75	$2.5 (n - 10.7) + 5 = 18.75$
218713	Find the Inverse	y=- square root of x	$y = - \sqrt{x}$
218714	Solve the Inequality for x	2(x-3)+6<=-10	$2 (x - 3) + 6 \leq - 10$
218715	Solve for r	r^4=4	$r^{4} = 4$
218716	Solve for x	0=9x^2-3x	$0 = 9 x^{2} - 3 x$
218717	Multiply	-6ab*2a^2b^2	$- 6 a b \cdot 2 a^{2} b^{2}$
218718	Evaluate	2*1+3^2-6÷2	$2 \cdot 1 + 3^{2} - 6 \div 2$
218719	Find f(h(x))	f(x)=11-x/4 and h(x)=-4(x-11)	$f (x) = 11 - \frac{x}{4}$ and $h (x) = - 4 (x - 11)$
218720	Simplify	(3+ square root of 8)/(3- square root of 8)	$\frac{3 + \sqrt{8}}{3 - \sqrt{8}}$
218721	Simplify	( fifth root of square root of 40- square root of 8)( fifth root of square root of 40+ square root of 8)	$(\sqrt[5]{\sqrt{40} - \sqrt{8}}) (\sqrt[5]{\sqrt{40} + \sqrt{8}})$
218722	Evaluate	-3/2+24/20-1.75	$- \frac{3}{2} + \frac{24}{20} - 1.75$
218723	Evaluate	(2x^-3)/(x^2)	$\frac{2 x^{- 3}}{x^{2}}$
218724	Evaluate	(6i)^3	${(6 i)}^{3}$
218725	Simplify	(2/(x+3)*(-x-5)/(x^3+2x^2-15x))÷(-2/(9-x^2))	$\frac{2}{x + 3} \cdot \frac{- x - 5}{x^{3} + 2 x^{2} - 15 x} \div \frac{- 2}{9 - x^{2}}$
218726	Evaluate	i^18i^24i^27*i^16	$i^{18} \cdot i^{24} \cdot i^{27} \cdot i^{16}$
218727	Simplify	(3x^2y)^3(2xy)	${(3 x^{2} y)}^{3} (2 x y)$
218728	Simplify	(9(8-2)-3(15-7))/(6(7-1)-3(17-9))	$\frac{9 (8 - 2) - 3 (15 - 7)}{6 (7 - 1) - 3 (17 - 9)}$
218729	Multiply	(3x^3)/(x^2-25)*(x^2+6x+5)/(x^2)	$\frac{3 x^{3}}{x^{2} - 25} \cdot \frac{x^{2} + 6 x + 5}{x^{2}}$
218730	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,0) and has a slope of 4/3 ?	What is the equation of the line that passes through the point $(- 3, 0)$ and has a slope of $\frac{4}{3}$ ?
218731	Find the Exact Value	sin(pi/6)cos(pi/6)-tan(pi/4)	$\sin (\frac{π}{6}) \cos (\frac{π}{6}) - \tan (\frac{π}{4})$
218732	Solve for x	(x+22)/(x+2)=30/10	$\frac{x + 22}{x + 2} = \frac{30}{10}$
218733	Determine if the Expression is a Factor Using Synthetic Division	x^3-3x+2 , x+2	$x^{3} - 3 x + 2$ , $x + 2$
218734	Solve for x	(5/6)^(4x)=(36/25)^(9-x)	${(\frac{5}{6})}^{4 x} = {(\frac{36}{25})}^{9 - x}$
218735	Evaluate	-( square root of 3)/2+1/2	$- \frac{\sqrt{3}}{2} + \frac{1}{2}$
218736	Simplify the Radical Expression	cube root of (27a^12)/9	$\sqrt[3]{\frac{27 a^{12}}{9}}$
218737	Solve the System of Equations	x=-3 y=4/3x+2	$x = - 3$ $y = \frac{4}{3} x + 2$
218738	Solve for x	x^(4/3)-16=0	$x^{\frac{4}{3}} - 16 = 0$
218739	Simplify the Radical Expression	x3/5y2/5	$x \frac{3}{5} y \frac{2}{5}$
218740	Graph	F(x)=(x+2)/3	$F (x) = \frac{x + 2}{3}$
218741	Evaluate	(y^2-4y+9)-(3y^2-6y-9)	$(y^{2} - 4 y + 9) - (3 y^{2} - 6 y - 9)$
218742	Evaluate	1*( square root of 3)/2	$1 \cdot \frac{\sqrt{3}}{2}$
218743	Solve for w	w^3-64=0	$w^{3} - 64 = 0$
218744	Solve for x	x^2+(y-3 square root of 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2} x)}^{2} = 1$
218745	Solve for a	8=a(2)^2	$8 = a {(2)}^{2}$
218746	Multiply	84/3*(48x)/95	$\frac{84}{3} \cdot \frac{48 x}{95}$
218747	Simplify	-(15r^6s^7t^4)/(3r^2s^9t^7)	$- \frac{15 r^{6} s^{7} t^{4}}{3 r^{2} s^{9} t^{7}}$
218748	Simplify the Radical Expression	(2 square root of 2)/2	$\frac{2 \sqrt{2}}{2}$
218749	Find the Inverse	f(x)=(2x+5)^2-6	$f (x) = {(2 x + 5)}^{2} - 6$
218750	Evaluate	(x+4)/x=3/7	$\frac{x + 4}{x} = \frac{3}{7}$
218751	Simplify	(8c^9d^5)(4c^2d^3)-(19c^10d)(cd^7)	$(8 c^{9} d^{5}) (4 c^{2} d^{3}) - (19 c^{10} d) (c d^{7})$
218752	Solve for r	9r^2+21r+9=-r^2	$9 r^{2} + 21 r + 9 = - r^{2}$
218753	Solve the Inequality for x	-2x^2+15x+150<9x+10	$- 2 x^{2} + 15 x + 150 < 9 x + 10$
218754	Solve for x	4^(3x)=1/4	$4^{3 x} = \frac{1}{4}$
218755	Simplify	1/3x^2+(x^2)/4	$\frac{1}{3} x^{2} + \frac{x^{2}}{4}$
218756	Simplify	(5 square root of 2)/( square root of 8)	$\frac{5 \sqrt{2}}{\sqrt{8}}$
218757	Simplify	(4i-2)-(5i+1)	$(4 i - 2) - (5 i + 1)$
218758	Simplify	(49-y^2)/(6y^2+42y)*(48y^3)/(y^2-10y+21)	$\frac{49 - y^{2}}{6 y^{2} + 42 y} \cdot \frac{48 y^{3}}{y^{2} - 10 y + 21}$
218759	Solve the Inequality for x	2x^2+x-15<0	$2 x^{2} + x - 15 < 0$
218760	Simplify	3+7/8-5/6	$3 + \frac{7}{8} - \frac{5}{6}$
218761	Solve for x	log base 7 of 2x+3 = log base 7 of 11+ log base 7 of 3	$\log_{7} (2 x + 3) = \log_{7} (11) + \log_{7} (3)$
218762	Solve the System of Equations	5x-5y=0 and 4x-6y=-18	$5 x - 5 y = 0$ and $4 x - 6 y = - 18$
218763	Graph	(x^3-16x)/(-4x^2+4x+24)	$\frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
218764	Solve the Inequality for g	2>=g/-4	$2 \geq \frac{g}{- 4}$
218765	Simplify	e^x*5e^(x+3)	$e^{x} \cdot 5 e^{x + 3}$
218766	Simplify	cos(x)^2+cos(x)+sin(x)^2-1	$\cos^{2} (x) + \cos (x) + \sin^{2} (x) - 1$
218767	Divide Using Synthetic Division	(4x^4+14x^3+13x^2+x-2)/(x+2)	$\frac{4 x^{4} + 14 x^{3} + 13 x^{2} + x - 2}{x + 2}$
218768	Solve for y	2(y-3)=2x-6	$2 (y - 3) = 2 x - 6$
218769	Simplify	(2/(3^(-3/2)))^(1/3)	${(\frac{2}{3^{\frac{- 3}{2}}})}^{\frac{1}{3}}$
218770	Solve for x	-3.6x-(-4.8x+4)=9x+1.1(-8x-6)	$- 3.6 x - (- 4.8 x + 4) = 9 x + 1.1 (- 8 x - 6)$
218771	Solve for y	1/4y+3=-5x	$\frac{1}{4} y + 3 = - 5 x$
218772	Write in Standard Form	3x-5x^2+8x^4-2	$3 x - 5 x^{2} + 8 x^{4} - 2$
218773	Solve the System of Equations	-7x+9y+10z=10 -x+y+z=3 x-2y-z=1	$- 7 x + 9 y + 10 z = 10$ $- x + y + z = 3$ $x - 2 y - z = 1$
218774	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-4) and has a slope of -1/6 ?	What is the equation of the line that passes through the point $(6, - 4)$ and has a slope of $- \frac{1}{6}$ ?
218775	Find the Domain and Range	y=1/2csc(2x)	$y = \frac{1}{2} \csc (2 x)$
218776	Graph Using a Table of Values	y=(1/3)^x+1	$y = {(\frac{1}{3})}^{x} + 1$
218777	Solve by Substitution	x=2y y=x-2	$x = 2 y$ $y = x - 2$
218778	Simplify	(x+1)/( square root of x^2-1)	$\frac{x + 1}{\sqrt{x^{2} - 1}}$
218779	Simplify	(-(2x^(1/6))/(3y^4))^-3	${(- \frac{2 x^{\frac{1}{6}}}{3 y^{4}})}^{- 3}$
218780	Find the Inverse	-(3x)/5	$- \frac{3 x}{5}$
218781	Write in Standard Form	(x-y)^2	${(x - y)}^{2}$
218782	Find the x and y Intercepts	f(x)=-x^3+x^2+x-1	$f (x) = - x^{3} + x^{2} + x - 1$
218783	Simplify	square root of s^7 fifth root of s^7	$\sqrt{s^{7}} \sqrt[5]{s^{7}}$
218784	Solve for c	2x^2+x+c=0	$2 x^{2} + x + c = 0$
218785	Solve for x	(3x+4)^2-3(x+2)=0	${(3 x + 4)}^{2} - 3 (x + 2) = 0$
218786	Simplify	(a+1)/(3a)+(b-3)/(5b)	$\frac{a + 1}{3 a} + \frac{b - 3}{5 b}$
218787	Simplify	( square root of 9x^5y^3)/(5x^4y^2)	$\frac{\sqrt{9 x^{5} y^{3}}}{5 x^{4} y^{2}}$
218788	Solve by Factoring	(x+3)^2+6(x+3)+5=0	${(x + 3)}^{2} + 6 (x + 3) + 5 = 0$
218789	Evaluate	2/3*1/3+(1/2)÷(2/3)	$\frac{2}{3} \cdot \frac{1}{3} + \frac{1}{2} \div \frac{2}{3}$
218790	Solve for x	square root of x+1+ square root of x-1=2	$\sqrt{x + 1} + \sqrt{x - 1} = 2$
218791	Simplify	6y(4y*2-9y-7)	$6 y (4 y \cdot 2 - 9 y - 7)$
218792	Solve for a	9/(a+3)=1-a/(a-3)	$\frac{9}{a + 3} = 1 - \frac{a}{a - 3}$
218793	Factor	-4/5(30x-40)+(42x+4)	$- \frac{4}{5} (30 x - 40) + (42 x + 4)$
218794	Simplify	(-64a^15a^-7b^-3)/(-8a^2b^-3)	$\frac{- 64 a^{15} a^{- 7} b^{- 3}}{- 8 a^{2} b^{- 3}}$
218795	Evaluate	-\|-10\|+(-3)+\|5\|	$- \| - 10 \| + (- 3) + \| 5 \|$
218796	Evaluate	(x^2y^3)/(xy)	$\frac{x^{2} y^{3}}{x y}$
218797	Solve for s	-1/2s+6=23	$- \frac{1}{2} s + 6 = 23$
218798	Graph	y=1/2x+-3	$y = \frac{1}{2} x + - 3$
218799	Solve Using the Quadratic Formula	-2x=x^2-6	$- 2 x = x^{2} - 6$
218800	Rationalize the Denominator	(3 square root of 6)/( square root of 2)	$\frac{3 \sqrt{6}}{\sqrt{2}}$