Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174301	Find the Domain and Range	f(x) = square root of x+ square root of 1-x	$f (x) = \sqrt{x} + \sqrt{1 - x}$
174302	Find the Function	f(x)=5-2x	$f (x) = 5 - 2 x$
174303	Solve for f	D=1/3fk for f	$D = \frac{1}{3} f k$ for $f$
174304	Solve for b	70b+21b-69b-16b+7=85	$70 b + 21 b - 69 b - 16 b + 7 = 85$
174305	Solve the System of Inequalities	3x+8<=11 or 3x+8>20	$3 x + 8 \leq 11$ or $3 x + 8 > 20$
174306	Simplify	(9-x^2)/(27-x^3)	$\frac{9 - x^{2}}{27 - x^{3}}$
174307	Find the Slope and y-intercept	y-6=3/8x	$y - 6 = \frac{3}{8} x$
174308	Expand the Logarithmic Expression	log of z/(x^2 cube root of y^2)	$\log (\frac{z}{x^{2} \sqrt[3]{y^{2}}})$
174309	Describe the Transformation	1/2f(x)	$\frac{1}{2} f (x)$
174310	Solve for x	cx+3=dx+4	$c x + 3 = d x + 4$
174311	Solve for n	n^3-n=9n^2-9	$n^{3} - n = 9 n^{2} - 9$
174312	Solve for x	\|3x+7\|=\|3x+11\|	$\| 3 x + 7 \| = \| 3 x + 11 \|$
174313	Simplify	2x*x^(1/2)	$2 x \cdot x^{\frac{1}{2}}$
174314	Multiply	(a)(-3a)(a^2)	$(a) (- 3 a) (a^{2})$
174315	Evaluate	1/( square root of 6)-1/( square root of 3)	$\frac{1}{\sqrt{6}} - \frac{1}{\sqrt{3}}$
174316	Simplify	(2x^2+3xy-y^2)(x+3)	$(2 x^{2} + 3 x y - y^{2}) (x + 3)$
174317	Factor	125x^3+1+75x^2+15x	$125 x^{3} + 1 + 75 x^{2} + 15 x$
174318	Factor	20r^4s-20r^3s+5r^2s	$20 r^{4} s - 20 r^{3} s + 5 r^{2} s$
174319	Convert to a Simplified Fraction	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
174320	Simplify	square root of 3( square root of 27- square root of 3)	$\sqrt{3} (\sqrt{27} - \sqrt{3})$
174321	Find the Product	2+5(8-5)	$2 + 5 (8 - 5)$
174322	Find the Axis of Symmetry	f(x)=7-4x+x^2	$f (x) = 7 - 4 x + x^{2}$
174323	Evaluate	-(-2+1)^2	$- {(- 2 + 1)}^{2}$
174324	Rationalize the Denominator	(2 square root of 3)/( square root of 12)	$\frac{2 \sqrt{3}}{\sqrt{12}}$
174325	Graph Using a Table of Values	f(x)=(x+1)/(x-1)	$f (x) = \frac{x + 1}{x - 1}$
174326	Solve for x	2/3(x-(1-(x-2)/3))+1=x	$\frac{2}{3} (x - (1 - \frac{x - 2}{3})) + 1 = x$
174327	Simplify	(-t^3+5t^2-6t)+(8t^2-8t)	$(- t^{3} + 5 t^{2} - 6 t) + (8 t^{2} - 8 t)$
174328	Solve for w	4w+7=2(2w+3)+1	$4 w + 7 = 2 (2 w + 3) + 1$
174329	Factor	3+81x^3y^3	$3 + 81 x^{3} y^{3}$
174330	Evaluate Using the Given Value	9m+7n if m=-7 and n=4	$9 m + 7 n$ if $m = - 7$ and $n = 4$
174331	Find All Complex Solutions	2sin(theta)^2- square root of 3sin(theta)=0	$2 \sin^{2} (θ) - \sqrt{3} \sin (θ) = 0$
174332	Graph	4<=-x^2-y	$4 \leq - x^{2} - y$
174333	Solve the System of Equations	-x+2y=14 1/9x-3/4y=-47/18	$- x + 2 y = 14$ $\frac{1}{9} x - \frac{3}{4} y = - \frac{47}{18}$
174334	Solve for x	-1/(x-3)=(x-4)/(x^2-27)	$\frac{- 1}{x - 3} = \frac{x - 4}{x^{2} - 27}$
174335	Factor	2c^4d^2+28c^3d^2+98c^2d^2	$2 c^{4} d^{2} + 28 c^{3} d^{2} + 98 c^{2} d^{2}$
174336	Solve for x	(x-4)/7=(8-3x)/5	$\frac{x - 4}{7} = \frac{8 - 3 x}{5}$
174337	Convert to a Decimal	-30deg	$- 30$ degrees
174338	Simplify	square root of -36- square root of -32	$\sqrt{- 36} - \sqrt{- 32}$
174339	Graph	y=\|x^2\|	$y = \| x^{2} \|$
174340	Solve for x	1/x-1/(x-4)=1	$\frac{1}{x} - \frac{1}{x - 4} = 1$
174341	Graph	p(x)=(x-1)(x-4)(2x+3)^2	$p (x) = (x - 1) (x - 4) {(2 x + 3)}^{2}$
174342	Expand the Logarithmic Expression	log of ( square root of z^3)/(x^2y^5)	$\log (\frac{\sqrt{z^{3}}}{x^{2} y^{5}})$
174343	Solve for x	6-6x^2=3x	$6 - 6 x^{2} = 3 x$
174344	Divide	((25x^2-49)/(3x^2+x-14))÷((5x+7)/(4x-8))	$\frac{25 x^{2} - 49}{3 x^{2} + x - 14} \div \frac{5 x + 7}{4 x - 8}$
174345	Solve for y	1/6y-1/2=3-1/2y	$\frac{1}{6} y - \frac{1}{2} = 3 - \frac{1}{2} y$
174346	Solve for x	x/6-1=1/3(9-3x)	$\frac{x}{6} - 1 = \frac{1}{3} (9 - 3 x)$
174347	Simplify	(a-b-c)^2	${(a - b - c)}^{2}$
174348	Solve for y	20(3/5y-2-3/2y)=2+2y	$20 (\frac{3}{5} y - 2 - \frac{3}{2} y) = 2 + 2 y$
174349	Solve for k	x^2+kx+9=0	$x^{2} + k x + 9 = 0$
174350	Evaluate	4 choose 5	${}_{4}C_{5}$
174351	Evaluate	3(-2/3)-2	$3 (- \frac{2}{3}) - 2$
174352	Find All Complex Solutions	(c-4)/(c-2)=(c-2)/(c+2)-1/(2-c)	$\frac{c - 4}{c - 2} = \frac{c - 2}{c + 2} - \frac{1}{2 - c}$
174353	Solve for k	-6+ square root of k/6=-3	$- 6 + \sqrt{\frac{k}{6}} = - 3$
174354	Solve for x	4+x=-3+2x	$4 + x = - 3 + 2 x$
174355	Simplify	(b-4)^2+(b-1)(2-b)	${(b - 4)}^{2} + (b - 1) (2 - b)$
174356	Solve the Inequality for x	(x-2)(x+5)<=0	$(x - 2) (x + 5) \leq 0$
174357	Solve for x	9(x+1)^2=16	$9 {(x + 1)}^{2} = 16$
174358	Solve the Inequality for x	(x+15)/-3>-7	$\frac{x + 15}{- 3} > - 7$
174359	Solve for x	-6x^2-2-3x=-8	$- 6 x^{2} - 2 - 3 x = - 8$
174360	Simplify	(5m^3+3mn^2)+(-7m^2n+mn^2-n^3)-(mn^2+2m^3)	$(5 m^{3} + 3 m n^{2}) + (- 7 m^{2} n + m n^{2} - n^{3}) - (m n^{2} + 2 m^{3})$
174361	Simplify	((x-3)/(x^2-5x-14))÷((x^2-x-6)/(x-7))	$\frac{x - 3}{x^{2} - 5 x - 14} \div \frac{x^{2} - x - 6}{x - 7}$
174362	Solve the System of Inequalities	5x+4>39 and 5x+4>=49	$5 x + 4 > 39$ and $5 x + 4 \geq 49$
174363	Simplify	square root of 64+ square root of -48+ square root of 25+ square root of -75	$\sqrt{64} + \sqrt{- 48} + \sqrt{25} + \sqrt{- 75}$
174364	Find the x and y Intercepts	x-y^2=-4	$x - y^{2} = - 4$
174365	Solve for x	(-3x+18)^(1/2)=x	${(- 3 x + 18)}^{\frac{1}{2}} = x$
174366	Solve the Inequality for x	4/x>=3/(x+2)	$\frac{4}{x} \geq \frac{3}{x + 2}$
174367	Solve the System of Inequalities	-3x+6>=15 and 0<=-3x+6	$- 3 x + 6 \geq 15$ and $0 \leq - 3 x + 6$
174368	Evaluate	((5^3)^9)÷(5^12)	${(5^{3})}^{9} \div 5^{12}$
174369	Solve the Inequality for x	-72<=-9x	$- 72 \leq - 9 x$
174370	Solve for m	E=mc^2 ; for m	$E = m c^{2}$ ; for $m$
174371	Find the Domain and Range	y^2=x^2+2x-3	$y^{2} = x^{2} + 2 x - 3$
174372	Simplify	(28x^2yz)/(21x^2y^3)	$\frac{28 x^{2} y z}{21 x^{2} y^{3}}$
174373	Solve the Inequality for x	-x-4x>-10	$- x - 4 x > - 10$
174374	Rationalize the Denominator	3/( square root of 12)	$\frac{3}{\sqrt{12}}$
174375	Combine Like Terms	(2x^4+3x^3)(2x^4-3x^3)	$(2 x^{4} + 3 x^{3}) (2 x^{4} - 3 x^{3})$
174376	Solve for X	2X+3=X+7	$2 X + 3 = X + 7$
174377	Solve for t	h(t)=-16t^2+256	$h (t) = - 16 t^{2} + 256$
174378	Simplify	(3x^2)^2*(1/3x)^4	${(3 x^{2})}^{2} \cdot {(\frac{1}{3} x)}^{4}$
174379	Subtract	9/(2z^2+6z-36)-(6z+2)/(2z^2+4z-30)	$\frac{9}{2 z^{2} + 6 z - 36} - \frac{6 z + 2}{2 z^{2} + 4 z - 30}$
174380	Write in Slope-Intercept Form	-12x-2y>=-42	$- 12 x - 2 y \geq - 42$
174381	Simplify	((2x-5)/4)÷((x+3)/4)	$\frac{2 x - 5}{4} \div \frac{x + 3}{4}$
174382	Simplify	(9b^2y)/(27by)	$\frac{9 b^{2} y}{27 b y}$
174383	Solve for x	\|(2x)/39-1\|<=5	$\| \frac{2 x}{39} - 1 \| \leq 5$
174384	Write as a Single Logarithm	3 log base 5 of (uv^2)/(w^3)	$3 \log_{5} (\frac{u v^{2}}{w^{3}})$
174385	Simplify	fourth root of z^-6z^18	$\sqrt[4]{z^{- 6} z^{18}}$
174386	Solve for v	3/5v=2/3(4/5v-6)	$\frac{3}{5} v = \frac{2}{3} (\frac{4}{5} v - 6)$
174387	Find the Equation of the Circle	Center (0,0) , r=7	Center $(0, 0)$ , $r = 7$
174388	Solve for x	x-3x(1-12x)=11-(5-6x)(6x+5)	$x - 3 x (1 - 12 x) = 11 - (5 - 6 x) (6 x + 5)$
174389	Solve the Inequality for x	-2x+8<3(2x-4)	$- 2 x + 8 < 3 (2 x - 4)$
174390	Evaluate	(-( square root of 3)/2)÷(-1/2)	$- \frac{\sqrt{3}}{2} \div (- \frac{1}{2})$
174391	Solve for n	-5/6n-1=1/2n+5	$- \frac{5}{6} n - 1 = \frac{1}{2} n + 5$
174392	Simplify	(3a)/(a^2-9a+18)-2/(a-6)	$\frac{3 a}{a^{2} - 9 a + 18} - \frac{2}{a - 6}$
174393	Find the Excluded Values	(x^2-81)/(x^2)*(x^2-9x)/(x^2+x-90)	$\frac{x^{2} - 81}{x^{2}} \cdot \frac{x^{2} - 9 x}{x^{2} + x - 90}$
174394	Solve the System of Equations	3x+2y=2 and -3x+5y=5	$3 x + 2 y = 2$ and $- 3 x + 5 y = 5$
174395	Write in Standard Form	(-x-1)(x^2+x+5)	$(- x - 1) (x^{2} + x + 5)$
174396	Find All Complex Solutions	2sin(x)^2-sin(x)=0	$2 \sin^{2} (x) - \sin (x) = 0$
174397	Find All Complex Solutions	4sin(x)=-cos(x)^2+1	$4 \sin (x) = - \cos^{2} (x) + 1$
174398	Solve for x	x/5-g=a for x	$\frac{x}{5} - g = a$ for $x$
174399	Find the Holes in the Graph	f(x)=(x^2-3x-10)/(4x-10)	$f (x) = \frac{x^{2} - 3 x - 10}{4 x - 10}$
174400	Factor	f(x)=x^4+3x^3-12x^2-52x-48	$f (x) = x^{4} + 3 x^{3} - 12 x^{2} - 52 x - 48$