Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184101	Graph	y>2x-4 y<=2	$y > 2 x - 4$ $y \leq 2$
184102	Solve for z	square root of (53+5z)/7=2	$\sqrt{\frac{53 + 5 z}{7}} = 2$
184103	Subtract	(3x^2-2)/(3x-2)-x/(2-3x)	$\frac{3 x^{2} - 2}{3 x - 2} - \frac{x}{2 - 3 x}$
184104	Solve for x	4\|8x-2\|=8	$4 \| 8 x - 2 \| = 8$
184105	Solve for a	(x^(1/2))/(x^(1/6))=x^a	$\frac{x^{\frac{1}{2}}}{x^{\frac{1}{6}}} = x^{a}$
184106	Solve the System of Equations	x+2y+2z=-2 2x-y-2z=-5 x+2y+4z=0	$x + 2 y + 2 z = - 2$ $2 x - y - 2 z = - 5$ $x + 2 y + 4 z = 0$
184107	Divide	(6-i)/(5+4i)	$\frac{(6 - i)}{(5 + 4 i)}$
184108	Evaluate	tan(x) = square root of 3	$\tan (x) = \sqrt{3}$
184109	Solve the Inequality for x	\|x\|<=9	$\| x \| \leq 9$
184110	Simplify the Radical Expression	fourth root of x^9	$\sqrt[4]{x^{9}}$
184111	Simplify	2(x^2-x)+3(x^2-x)	$2 (x^{2} - x) + 3 (x^{2} - x)$
184112	Graph	y=-1/2 square root of x-2-3	$y = - \frac{1}{2} \sqrt{x - 2} - 3$
184113	Solve the System of Equations	2x+y+z=-3 -2x+y+2z=4 -x+2y+z=5	$2 x + y + z = - 3$ $- 2 x + y + 2 z = 4$ $- x + 2 y + z = 5$
184114	Find f(g(x))	f(x)=5x-3 and g(x)=2x^2-5	$f (x) = 5 x - 3$ and $g (x) = 2 x^{2} - 5$
184115	Solve the Inequality for x	7+x<5	$7 + x < 5$
184116	Describe the Transformation	y=1/4\|x\|	$y = \frac{1}{4} \| x \|$
184117	Find the Exact Value	square root of 2/3- square root of 3/2	$\sqrt{\frac{2}{3}} - \sqrt{\frac{3}{2}}$
184118	Find f(g(x))	f(x)=1/(8x+3) g(x)=12-5x	$f (x) = \frac{1}{8 x + 3}$ $g (x) = 12 - 5 x$
184119	Solve the Inequality for x	-x^2+4x+12>0	$- x^{2} + 4 x + 12 > 0$
184120	Graph	x-4y>=-8 3x+y<=6	$x - 4 y \geq - 8$ $3 x + y \leq 6$
184121	Find the Holes in the Graph	f(x)=(x+4)/(-2x-6)	$f (x) = \frac{x + 4}{- 2 x - 6}$
184122	Evaluate	5(-2k-3)+2k	$5 (- 2 k - 3) + 2 k$
184123	Simplify	(5x^2-40x-45)/(15x^2-195x+540)*(x^2-14x+40)/(x^3-9x^2-10x)	$\frac{5 x^{2} - 40 x - 45}{15 x^{2} - 195 x + 540} \cdot \frac{x^{2} - 14 x + 40}{x^{3} - 9 x^{2} - 10 x}$
184124	Find the Holes in the Graph	f(x)=(-x^2-2x+3)/(x^2+5x+6)	$f (x) = \frac{- x^{2} - 2 x + 3}{x^{2} + 5 x + 6}$
184125	Solve for x	(2x-1)^2=0	${(2 x - 1)}^{2} = 0$
184126	Solve for v	-4/3(12v-18)+32=-8(7+2v)	$- \frac{4}{3} (12 v - 18) + 32 = - 8 (7 + 2 v)$
184127	Solve for b	y=mx+b for b	$y = m x + b$ for $b$
184128	Simplify	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
184129	Find g(f(x))	f(x)=6x+1 , g(x) = square root of x	$f (x) = 6 x + 1$ , $g (x) = \sqrt{x}$
184130	Evaluate	6(11-3)=4(7+5)	$6 (11 - 3) = 4 (7 + 5)$
184131	Expand the Logarithmic Expression	log of (x^4)/( cube root of yz^2)	$\log (\frac{x^{4}}{\sqrt[3]{y} z^{2}})$
184132	Find f(g(x))	f(x)=4/x g(x)=4/x	$f (x) = \frac{4}{x}$ $g (x) = \frac{4}{x}$
184133	Write Using Negative Exponents	5/(x^2)	$\frac{5}{x^{2}}$
184134	Find the x and y Intercepts	f(x)=-2-6x-8x^3+8x^2	$f (x) = - 2 - 6 x - 8 x^{3} + 8 x^{2}$
184135	Solve for θ	sin(theta)^2-cos(theta)^2=0	$\sin^{2} (θ) - \cos^{2} (θ) = 0$
184136	Simplify	(t+2)/(3t-9)+(3-2t)/(5t-15)	$\frac{t + 2}{3 t - 9} + \frac{3 - 2 t}{5 t - 15}$
184137	Simplify	(1/(x^2)-1/(3x))/(9/x-x)	$\frac{\frac{1}{x^{2}} - \frac{1}{3 x}}{\frac{9}{x} - x}$
184138	Rationalize the Denominator	square root of 1/3	$\sqrt{\frac{1}{3}}$
184139	Graph	y=(x-2)/(x^2-4)	$y = \frac{x - 2}{x^{2} - 4}$
184140	Divide	2/(5/2)	$\frac{2}{\frac{5}{2}}$
184141	Solve for k	(1/27)/(3^(2k))=27	$\frac{\frac{1}{27}}{3^{2 k}} = 27$
184142	Solve for G	d=5/6(F+G)	$d = \frac{5}{6} (F + G)$
184143	Solve the Inequality for A	A=1/2h(a+b)	$A = \frac{1}{2} h (a + b)$
184144	Find the Exact Value	square root of 16/25	$\sqrt{\frac{16}{25}}$
184145	Simplify	(6x^3)/(15x^4-60x^3)	$\frac{6 x^{3}}{15 x^{4} - 60 x^{3}}$
184146	Graph	(x-4)	$(x - 4)$
184147	Graph	f(x)=x(x+1)	$f (x) = x (x + 1)$
184148	Solve for x	1/(x-9)+4=9/(x^2-9x)	$\frac{1}{x - 9} + 4 = \frac{9}{x^{2} - 9 x}$
184149	Rationalize the Denominator	3/( cube root of 3)	$\frac{3}{\sqrt[3]{3}}$
184150	Graph	f(x)=3sin(pi/2x)	$f (x) = 3 \sin (\frac{π}{2} x)$
184151	Solve for x	x+4=5x+2	$x + 4 = 5 x + 2$
184152	Factor	x^2-a^2+2xy+y^2+2ab-b^2	$x^{2} - a^{2} + 2 x y + y^{2} + 2 a b - b^{2}$
184153	Simplify	2 cube root of 5+3 cube root of 5-3 cube root of 5	$2 \sqrt[3]{5} + 3 \sqrt[3]{5} - 3 \sqrt[3]{5}$
184154	Find the x and y Intercepts	f(x)=(2x-18)/(25x^2-81)	$f (x) = \frac{2 x - 18}{25 x^{2} - 81}$
184155	Solve for x	x^2+x+1/4=0	$x^{2} + x + \frac{1}{4} = 0$
184156	Solve for x	-4/(x-2)+6/x=-(2x)/(x-2)	$- \frac{4}{x - 2} + \frac{6}{x} = - \frac{2 x}{x - 2}$
184157	Graph	f(x)=x^2-4 if x<=2; 3x-6 if x>2	$f (x) = {\begin{cases} x^{2} - 4 & x \leq 2 \\ 3 x - 6 & x > 2 \end{cases}$
184158	Find the Roots (Zeros)	y=3(x+4)(x+1)(x-3)	$y = 3 (x + 4) (x + 1) (x - 3)$
184159	Simplify	((-6a^5b)^2)/(12a^7b)-8a^3b	$\frac{{(- 6 a^{5} b)}^{2}}{12 a^{7} b} - 8 a^{3} b$
184160	Solve for x	1/4x=12-x	$\frac{1}{4} x = 12 - x$
184161	Solve for x	2/3(1+x)=a	$\frac{2}{3} (1 + x) = a$
184162	Find g(f(x))	f(x)=x^2+4x-1 g(x)=2x-7	$f (x) = x^{2} + 4 x - 1$ $g (x) = 2 x - 7$
184163	Graph	y-3=-2/3(x+6) ?	$y - 3 = - \frac{2}{3} (x + 6)$ ?
184164	Find the x and y Intercepts	f(x)=3 cube root of -2x+1	$f (x) = 3 \sqrt[3]{- 2 x} + 1$
184165	Evaluate	1/3*3^(7-1)	$\frac{1}{3} \cdot 3^{7 - 1}$
184166	Find the Holes in the Graph	f(x)=(x^2-8x+15)/(x^2-64)	$f (x) = \frac{x^{2} - 8 x + 15}{x^{2} - 64}$
184167	Simplify	(1-x/5)/((x-8)/15+1/x)	$\frac{1 - \frac{x}{5}}{\frac{x - 8}{15} + \frac{1}{x}}$
184168	Solve for x	tan(x)^2=sec(x)-1	$\tan^{2} (x) = \sec (x) - 1$
184169	Graph	3<=x-8	$3 \leq x - 8$
184170	Simplify	(-3x^2+x+5)-(4x^2-2x)	$(- 3 x^{2} + x + 5) - (4 x^{2} - 2 x)$
184171	Simplify	(z+2)^-3(z+2)^-1	${(z + 2)}^{- 3} {(z + 2)}^{- 1}$
184172	Write in Exponential Form	n root of x^(3n)	$\sqrt[n]{x^{3 n}}$
184173	Solve for a	x^2 cube root of x^4=x^a	$x^{2} \sqrt[3]{x^{4}} = x^{a}$
184174	Find the x and y Intercepts	f(x)=6x+2x^3-4x^2-4	$f (x) = 6 x + 2 x^{3} - 4 x^{2} - 4$
184175	Convert to Interval Notation	x<=-9 or x>=4	$x \leq - 9$ or $x \geq 4$
184176	Solve for h	h+1/3=5/3	$h + \frac{1}{3} = \frac{5}{3}$
184177	Evaluate	2-53-(5-7)-(2)3^2	$2 - 5 \cdot 3 - (5 - 7) - (2) \cdot 3^{2}$
184178	Find the Exact Value	7+(5-9)^2+3(16÷8)	$7 + {(5 - 9)}^{2} + 3 (16 \div 8)$
184179	Find All Complex Solutions	x^(2/3)-2x^(1/3)-3=0	$x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} - 3 = 0$
184180	Solve Using the Quadratic Formula	f(x)=4x^2-9	$f (x) = 4 x^{2} - 9$
184181	Evaluate	e^x=0	$e^{x} = 0$
184182	Write in Standard Form	y=-11/3x-2 5/6	$y = - \frac{11}{3} x - 2 \frac{5}{6}$
184183	Simplify	1/(x^2)-4/(3x^2+15x)	$\frac{1}{x^{2}} - \frac{4}{3 x^{2} + 15 x}$
184184	Factor	x^5+x^3+x^2+1	$x^{5} + x^{3} + x^{2} + 1$
184185	Solve for x	x^4=64	$x^{4} = 64$
184186	Solve for x	4^(5x-13)=1/(8x)	$4^{5 x - 13} = \frac{1}{8 x}$
184187	Find the Distance Between Two Points	(0,0) and (-3,4)	$(0, 0)$ and $(- 3, 4)$
184188	Solve for x	y-y_1=m(x-x_1) for x	$y - y_{1} = m (x - x_{1})$ for $x$
184189	Solve for u	u^2+(4u)/5=5	$u^{2} + \frac{4 u}{5} = 5$
184190	Simplify	2/(2(3x-5)+3)	$\frac{2}{2 (3 x - 5) + 3}$
184191	Solve the Inequality for z	15>-5+z	$15 > - 5 + z$
184192	Factor	a(n+2)+(n+2)	$a (n + 2) + (n + 2)$
184193	Find the Roots (Zeros)	f(x)=2(x+1)(x-3)(x-1)^2	$f (x) = 2 (x + 1) (x - 3) {(x - 1)}^{2}$
184194	Solve for c	-9(c+7)=-13c+7	$- 9 (c + 7) = - 13 c + 7$
184195	Simplify	1/2+-7/2i	$\frac{1}{2} + \frac{- 7}{2} i$
184196	Find the Exact Value	6!	$6!$
184197	Solve for x	2xy-xz=4	$2 x y - x z = 4$
184198	Simplify	3(1)^2	$3 {(1)}^{2}$
184199	Solve for y	(y+3)/t=t^2	$\frac{y + 3}{t} = t^{2}$
184200	Simplify	(5/6)/(3/4)	$\frac{\frac{5}{6}}{\frac{3}{4}}$