Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176201	Solve by Substitution	4x-6=y x-y=-9	$4 x - 6 = y$ $x - y = - 9$
176202	Simplify	(5-4i)/(8+6i)	$\frac{5 - 4 i}{8 + 6 i}$
176203	Find the Holes in the Graph	f(x)=(x+10)/(x^2+8x+12)	$f (x) = \frac{x + 10}{x^{2} + 8 x + 12}$
176204	Graph	f(x)=x/2+3	$f (x) = \frac{x}{2} + 3$
176205	Find the Domain and Range	(x)=x^3	$(x) = x^{3}$
176206	Evaluate	5+(30-(6-1)^2)	$5 + (30 - {(6 - 1)}^{2})$
176207	Solve the Absolute Value Inequality for x	\|x-2\|<1	$\| x - 2 \| < 1$
176208	Solve Using the Quadratic Formula	2/3w^2+3/4w=-1/6	$\frac{2}{3} w^{2} + \frac{3}{4} w = - \frac{1}{6}$
176209	Solve for x	3x-12x=24-9x	$3 x - 12 x = 24 - 9 x$
176210	Simplify	square root of 25- square root of -4+ square root of 9- square root of -81	$\sqrt{25} - \sqrt{- 4} + \sqrt{9} - \sqrt{- 81}$
176211	Factor	1-64p^6	$1 - 64 p^{6}$
176212	Solve by Substitution	y=8x y=4x+8	$y = 8 x$ $y = 4 x + 8$
176213	Solve the System of Inequalities	35>4x+3 or 4x+3<=43	$35 > 4 x + 3$ or $4 x + 3 \leq 43$
176214	Solve the System of Inequalities	-4x+10>=38 and -4x+10>-2	$- 4 x + 10 \geq 38$ and $- 4 x + 10 > - 2$
176215	Find the Slope and y-intercept	m=2/3	$m = \frac{2}{3}$
176216	Solve for v	8/9(1/2v-18)+2v=2/3v	$\frac{8}{9} (\frac{1}{2} v - 18) + 2 v = \frac{2}{3} v$
176217	Solve for c	B(a+c)=ac	$B (a + c) = a c$
176218	Solve for x	5+2x = square root of x^2-2x+1	$5 + 2 x = \sqrt{x^{2} - 2 x + 1}$
176219	Graph	g(x)=f(x+2)-1	$g (x) = f (x + 2) - 1$
176220	Simplify	12*(9-7i)	$12 \cdot (9 - 7 i)$
176221	Solve for y	5y-6+8+3y=6	$5 y - 6 + 8 + 3 y = 6$
176222	Solve for x	log base 4 of x+3 = log base 2 of 2+x	$\log_{4} (x + 3) = \log_{2} (2 + x)$
176223	Graph	d(x)=-\|x-3\|+5	$d (x) = - \| x - 3 \| + 5$
176224	Find the Holes in the Graph	h(x)=(x+3)/(x(x-6))	$h (x) = \frac{x + 3}{x (x - 6)}$
176225	Solve for x	(3x)/2+1/4(x-2)=10	$\frac{3 x}{2} + \frac{1}{4} (x - 2) = 10$
176226	Solve for y	3*y=32+y	$3 \cdot y = 32 + y$
176227	Find the Holes in the Graph	f(x)=(2x-6)/(x^2-4x+3)	$f (x) = \frac{2 x - 6}{x^{2} - 4 x + 3}$
176228	Evaluate	e^(2x)-6e^x+5=0	$e^{2 x} - 6 e^{x} + 5 = 0$
176229	Solve the Rational Equation for x	3/(x^2+5x+6)+(x-1)/(x+2)=7/(x+3)	$\frac{3}{x^{2} + 5 x + 6} + \frac{x - 1}{x + 2} = \frac{7}{x + 3}$
176230	Evaluate	log of t-3 = log of 17-4t	$\log (t - 3) = \log (17 - 4 t)$
176231	Graph	f(x)=-2x+1,x<=2; 5x-4,x>2	$f (x) = {\begin{cases} - 2 x + 1, x \leq 2 \\ 5 x - 4, x > 2 \end{cases}$
176232	Solve the Inequality for x	4x<20	$4 x < 20$
176233	Find the Exact Value	sin(750 degrees )	$\sin (750 °)$
176234	Graph	y<-x-1 y<1/3x+3	$y < - x - 1$ $y < \frac{1}{3} x + 3$
176235	Determine if Perpendicular	3x+2y=6 and y=-3/2x+5	$3 x + 2 y = 6$ and $y = - \frac{3}{2} x + 5$
176236	Solve for x	-6x-11+7x-5=-16	$- 6 x - 11 + 7 x - 5 = - 16$
176237	Simplify	(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)	$(8 r^{6} s^{3} - 9 r^{5} s^{4} + 3 r^{4} s^{5}) - (2 r^{4} s^{5} - 5 r^{3} s^{6} - 4 r^{5} s^{4})$
176238	Solve for x	4x-(2x-1)=x+5+x-6	$4 x - (2 x - 1) = x + 5 + x - 6$
176239	Graph	y<=x-1 y>-1/2x-4	$y \leq x - 1$ $y > - \frac{1}{2} x - 4$
176240	Factor	x^2=3x+40	$x^{2} = 3 x + 40$
176241	Solve for x	(2x+1)(x-3)=0	$(2 x + 1) (x - 3) = 0$
176242	Simplify	(6x^3)/(x^2-4)*(x^2-3x+1)/(2x^2)	$\frac{6 x^{3}}{x^{2} - 4} \cdot \frac{x^{2} - 3 x + 1}{2 x^{2}}$
176243	Write in Standard Form	2x+x^2	$2 x + x^{2}$
176244	Graph	(6,-7)	$(6, - 7)$
176245	Solve for θ	cos(theta)=sin(theta)	$\cos (θ) = \sin (θ)$
176246	Find the Midpoint	(2,10) and (8,4)	$(2, 10)$ and $(8, 4)$
176247	Solve the Inequality for x	x^2-10x+24>=0	$x^{2} - 10 x + 24 \geq 0$
176248	Solve the System of Equations	2x+3y=6 x+y=4	$2 x + 3 y = 6$ $x + y = 4$
176249	Solve for x	4^(x^2+4x)=2^-6	$4^{x^{2} + 4 x} = 2^{- 6}$
176250	Factor	x^3-6x^2+11x-6=0	$x^{3} - 6 x^{2} + 11 x - 6 = 0$
176251	Evaluate	3/2pi	$\frac{3}{2} π$
176252	Evaluate	f(x)=(1/4)^0	$f (x) = {(\frac{1}{4})}^{0}$
176253	Find the Exact Value	\|2.2-5.13\|	$\| 2.2 - 5.13 \|$
176254	Write in Slope-Intercept Form	(-3,0) , (0,-3)	$(- 3, 0)$ , $(0, - 3)$
176255	Find the Midpoint	(2,-4) and (6,-10)	$(2, - 4)$ and $(6, - 10)$
176256	Simplify	-5^-4	$- 5^{- 4}$
176257	Solve for x	(x(x-1))/2-((x-4)(x-6))/2=33	$\frac{x (x - 1)}{2} - \frac{(x - 4) (x - 6)}{2} = 33$
176258	Solve the Inequality for x	-6x<=24	$- 6 x \leq 24$
176259	Solve for x	-1/3(4x+2)=1/3(x+11)	$- \frac{1}{3} (4 x + 2) = \frac{1}{3} (x + 11)$
176260	Simplify	x^2(2x^3-3)-3x(x+4)	$x^{2} (2 x^{3} - 3) - 3 x (x + 4)$
176261	Graph Using a Table of Values	y=\|x-4\|	$y = \| x - 4 \|$
176262	Solve for x	-11x=7(1-2x)+5	$- 11 x = 7 (1 - 2 x) + 5$
176263	Simplify	square root of x^2+x	$\sqrt{x^{2} + x}$
176264	Solve for θ	cos(theta)^2-sin(theta)^2=1-sin(theta)	$\cos^{2} (θ) - \sin^{2} (θ) = 1 - \sin (θ)$
176265	Evaluate	sec(-pi/2)	$\sec (- \frac{π}{2})$
176266	Evaluate	1/2(2)(4)	$\frac{1}{2} (2) (4)$
176267	Write in Standard Form	1+5x^2-x=-2	$1 + 5 x^{2} - x = - 2$
176268	Simplify	xy^2 square root of 9x^7y^4	$x y^{2} \sqrt{9 x^{7} y^{4}}$
176269	Solve the Inequality for x	x/9+3<4	$\frac{x}{9} + 3 < 4$
176270	Solve the Inequality for x	x^2-5x-24<0	$x^{2} - 5 x - 24 < 0$
176271	Convert to Polar	x=y^2	$x = y^{2}$
176272	Solve the Absolute Value Inequality for x	\|x-5\|<20	$\| x - 5 \| < 20$
176273	Solve for x	2x = square root of -5x+24-3	$2 x = \sqrt{- 5 x + 24} - 3$
176274	Find All Complex Solutions	7(x+2)=7x-10	$7 (x + 2) = 7 x - 10$
176275	Evaluate	5*180/pi	$5 \cdot \frac{180}{π}$
176276	Solve the Inequality for x	2<\|x-3\|<=5	$2 < \| x - 3 \| \leq 5$
176277	Simplify	(5+5i)÷(3+i)	$(5 + 5 i) \div (3 + i)$
176278	Find the x and y Intercepts	y=(2x^2+5x+2)/(x^2-4x+3)	$y = \frac{2 x^{2} + 5 x + 2}{x^{2} - 4 x + 3}$
176279	Solve for p	-3/2(p-2)-2=2-2/5(2p+5)	$- \frac{3}{2} (p - 2) - 2 = 2 - \frac{2}{5} (2 p + 5)$
176280	Solve the Inequality for x	x^2-6x+5<=0	$x^{2} - 6 x + 5 \leq 0$
176281	Solve for d	-24+12d=2(d-3)+22	$- 24 + 12 d = 2 (d - 3) + 22$
176282	Solve for b	(6b+10)/4=7	$\frac{6 b + 10}{4} = 7$
176283	Evaluate	(x-7)(x+7)	$(x - 7) (x + 7)$
176284	Solve by Substitution	-5y-10=x x+9y=-2	$- 5 y - 10 = x$ $x + 9 y = - 2$
176285	Solve for x	7x-2/5=6x-7/5	$7 x - \frac{2}{5} = 6 x - \frac{7}{5}$
176286	Solve for k	(2k-5)/(3k)-(k+2)/(4k)=(k+6)/k	$\frac{2 k - 5}{3 k} - \frac{k + 2}{4 k} = \frac{k + 6}{k}$
176287	Find the Product	(2x+6)^2	${(2 x + 6)}^{2}$
176288	Solve for x	v^2=v*0^2+2ax	$v^{2} = v \cdot 0^{2} + 2 a x$
176289	Find the Product	(x+8)(y+3)	$(x + 8) (y + 3)$
176290	Graph	y<=-2x-2 y>1/2x+8	$y \leq - 2 x - 2$ $y > \frac{1}{2} x + 8$
176291	Solve for x	1/3x^4=27	$\frac{1}{3} x^{4} = 27$
176292	Evaluate the Function	f(-1)=3^-1	$f (- 1) = 3^{- 1}$
176293	Solve for z	-z^2=-12z+6	$- z^{2} = - 12 z + 6$
176294	Simplify	- square root of 81+ square root of -28+ square root of 1- square root of -175	$- \sqrt{81} + \sqrt{- 28} + \sqrt{1} - \sqrt{- 175}$
176295	Solve the System of Equations	2x+3y=5 4x+6y=10	$2 x + 3 y = 5$ $4 x + 6 y = 10$
176296	Evaluate	3/4pi	$\frac{3}{4} π$
176297	Find the Exact Value	sin((3pi)/4)cos(pi/12)-cos((3pi)/4)sin(pi/12)	$\sin (\frac{3 π}{4}) \cos (\frac{π}{12}) - \cos (\frac{3 π}{4}) \sin (\frac{π}{12})$
176298	Solve for Y	W=xYZ for Y	$W = x Y Z$ for $Y$
176299	Graph Using a Table of Values	y=-4x^2	$y = - 4 x^{2}$
176300	Solve for θ	csc(theta)- square root of 2=0	$\csc (θ) - \sqrt{2} = 0$