Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194101	Find the End Behavior	f(x)=75-3x^2	$f (x) = 75 - 3 x^{2}$
194102	Identify the Conic	3x^2+5y^2-6x-20y=-25	$3 x^{2} + 5 y^{2} - 6 x - 20 y = - 25$
194103	Solve for x	22(x+yi)+(28+4i)=72-62i	$22 (x + y i) + (28 + 4 i) = 72 - 62 i$
194104	Find the End Behavior	f(x)=-1.9(x+5)(x-7)(2x+1)	$f (x) = - 1.9 (x + 5) (x - 7) (2 x + 1)$
194105	Solve the System of Inequalities	6m<=-36 and m+24>20	$6 m \leq - 36$ and $m + 24 > 20$
194106	Solve the Inequality for x	0.49^x>0.7^(x+1)	${0.49}^{x} > {0.7}^{x + 1}$
194107	Solve for x	sin(x)=1-cos(x)	$\sin (x) = 1 - \cos (x)$
194108	Solve for x	e^(x-3)=x-1	$e^{x - 3} = x - 1$
194109	Simplify	(q-3/4)(q+1/4)	$(q - \frac{3}{4}) (q + \frac{1}{4})$
194110	Find the Holes in the Graph	(x^2-2x-3)/(-4x+12)	$\frac{x^{2} - 2 x - 3}{- 4 x + 12}$
194111	Simplify	x-(-x)	$x - (- x)$
194112	Find the Excluded Values	(x^2+8x+15)/(-5x-5)*(x^2+2x+1)/(2x+10)	$\frac{x^{2} + 8 x + 15}{- 5 x - 5} \cdot \frac{x^{2} + 2 x + 1}{2 x + 10}$
194113	Find the Inverse	f(x) = log of 2x	$f (x) = \log (2 x)$
194114	Solve the System of Equations	x+y+z=6 2x-y+z=3 3x-z=0	$x + y + z = 6$ $2 x - y + z = 3$ $3 x - z = 0$
194115	Solve the System of Equations	y=2x+1 x-y=-3	$y = 2 x + 1$ $x - y = - 3$
194116	Graph	F(x)=x^4-x^2+2	$F (x) = x^{4} - x^{2} + 2$
194117	Complete the Square	x^2-6=2-18x	$x^{2} - 6 = 2 - 18 x$
194118	Solve for x	x-2/5(x-3)-1/5=-3/5x	$x - \frac{2}{5} (x - 3) - \frac{1}{5} = - \frac{3}{5} x$
194119	Simplify	(1/(x-1)+1/(x+3))/(x+1)	$\frac{\frac{1}{x - 1} + \frac{1}{x + 3}}{x + 1}$
194120	Solve by Addition/Elimination	2x-3y=-1 and y=x-1	$2 x - 3 y = - 1$ and $y = x - 1$
194121	Simplify	1+1/(1+1/(1+1/x))	$1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{x}}}$
194122	Find the x and y Intercepts	f(x)=-10x^3-4x+3x^2-x^6-5	$f (x) = - 10 x^{3} - 4 x + 3 x^{2} - x^{6} - 5$
194123	Graph	p(x)=(x-3)^2(x+3)^2(2x+1)	$p (x) = {(x - 3)}^{2} {(x + 3)}^{2} (2 x + 1)$
194124	Solve for a	\|a/3\|=4	$\| \frac{a}{3} \| = 4$
194125	Simplify	(2i)/2	$\frac{2 i}{2}$
194126	Solve the System of Equations	x^2+y^2=16 x-y=4	$x^{2} + y^{2} = 16$ $x - y = 4$
194127	Evaluate	3x*3x	$3 x \cdot 3 x$
194128	Solve for a	(6a+7)/4=(a-1)/2	$\frac{6 a + 7}{4} = \frac{a - 1}{2}$
194129	Solve for x	32-(5+x)=20	$32 - (5 + x) = 20$
194130	Evaluate	12^2+9-4^2	$12^{2} + 9 - 4^{2}$
194131	Simplify	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{\sin (x)}{x}$
194132	Find the Distance Between Two Points	(6,0) and (0,3)	$(6, 0)$ and $(0, 3)$
194133	Find the Distance Between Two Points	(-7,1) and (-5,7)	$(- 7, 1)$ and $(- 5, 7)$
194134	Solve the System of Equations	x+y=-13 x^2+y^2=109	$x + y = - 13$ $x^{2} + y^{2} = 109$
194135	Solve for x	3^(2x-8)=9^(x-4)	$3^{2 x - 8} = 9^{x - 4}$
194136	Find f(g(x))	f(x)=10x , g(x)=x+3	$f (x) = 10 x$ , $g (x) = x + 3$
194137	Evaluate	4- square root of 81+(2(3+2^2))÷(1/2)	$4 - \sqrt{81} + 2 (3 + 2^{2}) \div \frac{1}{2}$
194138	Solve for x	(x-7)^2+x^2=(x+7)^2	${(x - 7)}^{2} + x^{2} = {(x + 7)}^{2}$
194139	Graph	-3x-y=-10 4x-4y=8	$- 3 x - y = - 10$ $4 x - 4 y = 8$
194140	Solve for y	y=1/2*6^1	$y = \frac{1}{2} \cdot 6^{1}$
194141	Simplify	((c^2-4)/(c+3))÷((3(c^2-9))/(c+2))	$\frac{c^{2} - 4}{c + 3} \div \frac{3 (c^{2} - 9)}{c + 2}$
194142	Evaluate	15% of 40	$15 %$ of $40$
194143	Solve for x	12x-4-9x^2=0	$12 x - 4 - 9 x^{2} = 0$
194144	Find the x and y Intercepts	P(x)=(x-1)^2(x-5)	$P (x) = {(x - 1)}^{2} (x - 5)$
194145	Factor by Grouping	(x+3)^2+14(x+3)+49	${(x + 3)}^{2} + 14 (x + 3) + 49$
194146	Solve the Inequality for x	2/(x+3)<1/(x+1)	$\frac{2}{x + 3} < \frac{1}{x + 1}$
194147	Find the End Behavior	f(x)=-1080+30x^2-180x+5x^3	$f (x) = - 1080 + 30 x^{2} - 180 x + 5 x^{3}$
194148	Solve for z	z^3+3z^2-25z-75=0	$z^{3} + 3 z^{2} - 25 z - 75 = 0$
194149	Simplify	eighth root of (n^18p^7)/(n^2p^-1)	$\sqrt[8]{\frac{n^{18} p^{7}}{n^{2} p^{- 1}}}$
194150	Find the Exact Value	sin(15 degrees )cos(45 degrees )+cos(15 degrees )sin(45 degrees )	$\sin (15 °) \cos (45 °) + \cos (15 °) \sin (45 °)$
194151	Write in Standard Form	1/6x=y-2	$\frac{1}{6} x = y - 2$
194152	Solve for x	10(0.4+0.5x)=4x	$10 (0.4 + 0.5 x) = 4 x$
194153	Solve for x	2-5(x+5)=3(x-2)-1	$2 - 5 (x + 5) = 3 (x - 2) - 1$
194154	Find the Roots (Zeros)	f(x)=x^3+14x-8x^2-1	$f (x) = x^{3} + 14 x - 8 x^{2} - 1$
194155	Solve for a	3a-5b=12-4(b+a)	$3 a - 5 b = 12 - 4 (b + a)$
194156	Solve for k	m/k=x	$\frac{m}{k} = x$
194157	Solve by Factoring	A^2+B^2=C^2	$A^{2} + B^{2} = C^{2}$
194158	Solve Using the Quadratic Formula	(3r+1)^2+(r+2)^2=65	${(3 r + 1)}^{2} + {(r + 2)}^{2} = 65$
194159	Graph	Graph y=6/5x+1	Graph $y = \frac{6}{5} x + 1$
194160	Solve for b	a+b+c=180	$a + b + c = 180$
194161	Graph	x-y=1 x+y=7	$x - y = 1$ $x + y = 7$
194162	Find the End Behavior	f(x)=-3x+5x^3-6x^2+2	$f (x) = - 3 x + 5 x^{3} - 6 x^{2} + 2$
194163	Find All Complex Solutions	log base 5 of x+ log base 5 of 4x-1=1	$\log_{5} (x) + \log_{5} (4 x - 1) = 1$
194164	Simplify	(5-5/(4x))/(7/x-7/(4x^2))	$\frac{5 - \frac{5}{4 x}}{\frac{7}{x} - \frac{7}{4 x^{2}}}$
194165	Graph	f(x)=(2x^2-3x+3)/(1-2x)	$f (x) = \frac{2 x^{2} - 3 x + 3}{1 - 2 x}$
194166	Solve Using the Square Root Property	1/5x^2+2=3/5x^2	$\frac{1}{5} x^{2} + 2 = \frac{3}{5} x^{2}$
194167	Solve for θ	cos(theta)+1=1	$\cos (θ) + 1 = 1$
194168	Solve for g	gh-gt+g=t	$g h - g t + g = t$
194169	Solve for u	15=-15-8u	$15 = - 15 - 8 u$
194170	Solve for w	w+1=3w+6	$w + 1 = 3 w + 6$
194171	Solve for x	x/(x+1)-x/(x^2+3x+2)=2/(x+2)	$\frac{x}{x + 1} - \frac{x}{x^{2} + 3 x + 2} = \frac{2}{x + 2}$
194172	Find the Excluded Values	1/(x-4)-2/(x+5)=(2x-1)/(x^2+x-20)	$\frac{1}{x - 4} - \frac{2}{x + 5} = \frac{2 x - 1}{x^{2} + x - 20}$
194173	Graph	-20<=-x-10<=-16	$- 20 \leq - x - 10 \leq - 16$
194174	Solve for x	(3x)/5-x/3=-3	$\frac{3 x}{5} - \frac{x}{3} = - 3$
194175	Find the Product	(4a^2-3b^2)(16a^4+12a^2b^2+9b^4)	$(4 a^{2} - 3 b^{2}) (16 a^{4} + 12 a^{2} b^{2} + 9 b^{4})$
194176	Multiply	(-3x^2y)(2x^3y)	$(- 3 x^{2} y) (2 x^{3} y)$
194177	Solve the System of Equations	1/2x-1/3y=-10 -2/5x+3y=-1/5	$\frac{1}{2} x - \frac{1}{3} y = - 10$ $- \frac{2}{5} x + 3 y = - \frac{1}{5}$
194178	Simplify	fourth root of (3a^2)/(8b^3)	$\sqrt[4]{\frac{3 a^{2}}{8 b^{3}}}$
194179	Simplify	-3/8+(-1/4)	$- \frac{3}{8} + (- \frac{1}{4})$
194180	Solve for f	2f+4>-7f+3	$2 f + 4 > - 7 f + 3$
194181	Solve the Inequality for x	x^2<10x-3	$x^{2} < 10 x - 3$
194182	Find the x and y Intercepts	f(x)=2 1/2-3 1/3x	$f (x) = 2 \frac{1}{2} - 3 \frac{1}{3} x$
194183	Solve for x	2(x+b)=a	$2 (x + b) = a$
194184	Write in Standard Form	1/2(y+4)=(x-7)^2	$\frac{1}{2} (y + 4) = {(x - 7)}^{2}$
194185	Solve for x	2(2x-1)=5x^2	$2 (2 x - 1) = 5 x^{2}$
194186	Factor	8f^3g-216g	$8 f^{3} g - 216 g$
194187	Solve for p	\|-5p\|=35	$\| - 5 p \| = 35$
194188	Evaluate Using the Given Value	a-5-b ; use a=10 ; and b=4	$a - 5 - b$ ; use $a = 10$ ; and $b = 4$
194189	Find the Perpendicular Line	(1,8) and perpendicular to 2x+7y=1	$(1, 8)$ and perpendicular to $2 x + 7 y = 1$
194190	Evaluate	40% of 30	$40 %$ of $30$
194191	Solve for f	4/5f+1/5e=8	$\frac{4}{5} f + \frac{1}{5} e = 8$
194192	Solve for x	4=-x/13	$4 = - \frac{x}{13}$
194193	Graph	f(x)=(x^2+2x-48)/(g(x))	$f (x) = \frac{x^{2} + 2 x - 48}{g (x)}$
194194	Multiply	( square root of x)^2	${(\sqrt{x})}^{2}$
194195	Describe the Transformation	f(x-3)	$f (x - 3)$
194196	Combine Like Terms	3(4h+2k)	$3 (4 h + 2 k)$
194197	Solve for b	c/(a-b)=1	$\frac{c}{a - b} = 1$
194198	Solve for x	2/3=30/(27+2x)	$\frac{2}{3} = \frac{30}{27 + 2 x}$
194199	Solve the Inequality for x	1-4/7>6x+2/7-5x	$1 - \frac{4}{7} > 6 x + \frac{2}{7} - 5 x$
194200	Graph Using a Table of Values	f(x)=(-4x+6)/(-x+2)	$f (x) = \frac{- 4 x + 6}{- x + 2}$