Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
159101	Graph Using a Table of Values	f(x)=e^x	$f (x) = e^{x}$
159102	Solve the Inequality for x	4x<8	$4 x < 8$
159103	Solve for x	(x+2)/(3x)-1/(x-2)=(x-3)/(3x)	$\frac{x + 2}{3 x} - \frac{1}{x - 2} = \frac{x - 3}{3 x}$
159104	Solve the Inequality for x	x^2-9<0	$x^{2} - 9 < 0$
159105	Simplify	( seventh root of x^2)/( fifth root of y^3)	$\frac{\sqrt[7]{x^{2}}}{\sqrt[5]{y^{3}}}$
159106	Factor	16xy^2+28xy+8y	$16 x y^{2} + 28 x y + 8 y$
159107	Solve the Inequality for y	-6>-2/3y	$- 6 > - \frac{2}{3} y$
159108	Simplify	2r+(t+r)	$2 r + (t + r)$
159109	Solve for x	1/(x-4)+x/(x-2)=2/(x^2-6x+8)	$\frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{x^{2} - 6 x + 8}$
159110	Find the Function	f(x)=1	$f (x) = 1$
159111	Factor	93a^3x^2y-62a^2x^3y^2-124a^2x	$93 a^{3} x^{2} y - 62 a^{2} x^{3} y^{2} - 124 a^{2} x$
159112	Graph	g(x)=f(x)-3	$g (x) = f (x) - 3$
159113	Write in Standard Form	(2x^2)/5+(5x)/4=10	$\frac{2 x^{2}}{5} + \frac{5 x}{4} = 10$
159114	Combine Like Terms	n-10+9n-3	$n - 10 + 9 n - 3$
159115	Solve for r	c=2pir for r	$c = 2 π r$ for $r$
159116	Evaluate	(1/3)^2+3^2	${(\frac{1}{3})}^{2} + 3^{2}$
159117	Find the Axis of Symmetry	y=(x+1)^2	$y = {(x + 1)}^{2}$
159118	Find the Product	6(x^2-1)*(6x-1)/(6(x+1))	$6 (x^{2} - 1) \cdot \frac{6 x - 1}{6 (x + 1)}$
159119	Factor	9a^2-12ab+15a^3b^2-24ab^3	$9 a^{2} - 12 a b + 15 a^{3} b^{2} - 24 a b^{3}$
159120	Solve for x	-4x-7+10x=-7+6x	$- 4 x - 7 + 10 x = - 7 + 6 x$
159121	Factor	(x^2-2x+1)	$(x^{2} - 2 x + 1)$
159122	Graph	y=-1/3x^2	$y = \frac{- 1}{3} x^{2}$
159123	Solve for c	15-5(4c-7)=50	$15 - 5 (4 c - 7) = 50$
159124	Simplify the Radical Expression	square root of x^3	$\sqrt{x^{3}}$
159125	Solve for a	z=b+m/a	$z = b + \frac{m}{a}$
159126	Simplify	square root of -8* square root of 24	$\sqrt{- 8} \cdot \sqrt{24}$
159127	Simplify	(-10x^2+x)+(-2x^2+9x+7)	$(- 10 x^{2} + x) + (- 2 x^{2} + 9 x + 7)$
159128	Factor by Grouping	am-bm+an-bn	$a m - b m + a n - b n$
159129	Solve for x	3/2(x-2)-5=19	$\frac{3}{2} (x - 2) - 5 = 19$
159130	Simplify	2 square root of 32d^5-7/8 square root of 8d^5+d^2 square root of 98d	$2 \sqrt{32 d^{5}} - \frac{7}{8} \sqrt{8 d^{5}} + d^{2} \sqrt{98 d}$
159131	Graph	[-3,infinity)	$[- 3, \infty)$
159132	Solve for h	SA=2pir^2+2pirh	$S A = 2 π r^{2} + 2 π r h$
159133	Find the Exact Value	log base 2 of 16	$\log_{2} (16)$
159134	Solve the Inequality for x	-2(x+2)<14	$- 2 (x + 2) < 14$
159135	Solve the Inequality for x	x^2-3x>0	$x^{2} - 3 x > 0$
159136	Simplify	(4x^3-5x^2+3x)+(-2x^3-x^2+6x)	$(4 x^{3} - 5 x^{2} + 3 x) + (- 2 x^{3} - x^{2} + 6 x)$
159137	Describe the Transformation	y=1/2f(x)	$y = \frac{1}{2} f (x)$
159138	Solve for W	P=2L+2W for w	$P = 2 L + 2 W$ for $w$
159139	Solve for r	I=v/(R+r)	$I = \frac{v}{R + r}$
159140	Graph	y=1/4x^2-2x	$y = \frac{1}{4} x^{2} - 2 x$
159141	Find the Exact Value	6^-2	$6^{- 2}$
159142	Simplify	( square root of 8)/2	$\frac{\sqrt{8}}{2}$
159143	Simplify	((x^2-y^2)/y)÷((x+y)/(6y^2))	$\frac{x^{2} - y^{2}}{y} \div \frac{x + y}{6 y^{2}}$
159144	Find the Function	f(x)=7	$f (x) = 7$
159145	Simplify	21-8(w+3)+3+7w	$21 - 8 (w + 3) + 3 + 7 w$
159146	Solve for x	square root of x-4+5=2	$\sqrt{x - 4} + 5 = 2$
159147	Simplify	fifth root of (10x)/(3x^3)	$\sqrt[5]{\frac{10 x}{3 x^{3}}}$
159148	Solve for x	-7x-4x=10x+8-11	$- 7 x - 4 x = 10 x + 8 - 11$
159149	Solve the Absolute Value Inequality for x	\|2x-1\|=7	$\| 2 x - 1 \| = 7$
159150	Simplify	(x^2+x-2)/(x^3-x^2+2x-2)	$\frac{x^{2} + x - 2}{x^{3} - x^{2} + 2 x - 2}$
159151	Find the Exact Value	log base 4 of 64	$\log_{4} (64)$
159152	Evaluate	((-5+1)÷2)^3-\|-7\|	${((- 5 + 1) \div 2)}^{3} - \| - 7 \|$
159153	Solve for c	\|2c+8\|=\|10c\|	$\| 2 c + 8 \| = \| 10 c \|$
159154	Simplify	7a(3b-2c+4)	$7 a (3 b - 2 c + 4)$
159155	Factor	(x^2-4x+4)	$(x^{2} - 4 x + 4)$
159156	Solve the Absolute Value Inequality for v	\|v+8\|-5=2	$\| v + 8 \| - 5 = 2$
159157	Simplify	(-7x^2-4)+(-7x^2-6x-2)	$(- 7 x^{2} - 4) + (- 7 x^{2} - 6 x - 2)$
159158	Simplify	tan(theta)^2(cot(theta)^2-cos(theta)^2)	$\tan^{2} (θ) (\cot^{2} (θ) - \cos^{2} (θ))$
159159	Solve for n	\|-2n\|+10=-50	$\| - 2 n \| + 10 = - 50$
159160	Simplify	(tan(theta)^2+1)/(tan(theta)^2)	$\frac{\tan^{2} (θ) + 1}{\tan^{2} (θ)}$
159161	Find the Exact Value	-5^2	$- 5^{2}$
159162	Solve for h	\|3h+1\|=7h	$\| 3 h + 1 \| = 7 h$
159163	Simplify	(3+i)/(3-i)	$\frac{3 + i}{3 - i}$
159164	Graph Using a Table of Values	x=y^2	$x = y^{2}$
159165	Evaluate	(4-7)^2-6*7+20	${(4 - 7)}^{2} - 6 \cdot 7 + 20$
159166	Evaluate	(4x)^2	${(4 x)}^{2}$
159167	Graph	y=-1/8x^2+x-4	$y = - \frac{1}{8} x^{2} + x - 4$
159168	Find the Domain and Range	f(x)=[x]	$f (x) = [x]$
159169	Graph	(-3,infinity)	$(- 3, \infty)$
159170	Solve the Inequality for y	5y+3>-7y+13	$5 y + 3 > - 7 y + 13$
159171	Solve for n	15n-18n+4n=3	$15 n - 18 n + 4 n = 3$
159172	Find the Function	f(x)=x^2-3	$f (x) = x^{2} - 3$
159173	Graph	1/2f(x)	$\frac{1}{2} f (x)$
159174	Find the Function	f(x)=x+5	$f (x) = x + 5$
159175	Simplify	(x^2y-3y^2+5xy^2)-(-x^2y+3xy^2-3y^2)	$(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})$
159176	Graph	f(x)=4x+3 if x<=-2; x-2 if x>-2	$f (x) = {\begin{cases} 4 x + 3 & x \leq - 2 \\ x - 2 & x > - 2 \end{cases}$
159177	Find the x and y Intercepts	f(x)=(x-5)(x-3)(4x+8)	$f (x) = (x - 5) (x - 3) (4 x + 8)$
159178	Solve for x	7^(2x)=7^(x-3)	$7^{2 x} = 7^{x - 3}$
159179	Write in Standard Form	4x-8=9y-5	$4 x - 8 = 9 y - 5$
159180	Solve for c	y=ax^2+bx+c	$y = a x^{2} + b x + c$
159181	Solve for θ	sin(2theta)=1/2	$\sin (2 θ) = \frac{1}{2}$
159182	Simplify	12x^-6y^10*3x^7y	$12 x^{- 6} y^{10} \cdot 3 x^{7} y$
159183	Solve for t	d=rt for t	$d = r t$ for $t$
159184	Simplify	-1/2	$\frac{- 1}{2}$
159185	Solve for θ	tan(theta)=-( square root of 3)/3	$\tan (θ) = - \frac{\sqrt{3}}{3}$
159186	Graph	x^(-)*1	$x^{-} \cdot 1$
159187	Simplify	2/3(1/4x-6)	$\frac{2}{3} (\frac{1}{4} x - 6)$
159188	Solve for d	1/6d+2/3=1/4(d-2)	$\frac{1}{6} d + \frac{2}{3} = \frac{1}{4} (d - 2)$
159189	Write in Standard Form	square root of -6* square root of -2	$\sqrt{- 6} \cdot \sqrt{- 2}$
159190	Solve for x	(x+2)/3=(2x-4)/2	$\frac{x + 2}{3} = \frac{2 x - 4}{2}$
159191	Subtract	1/2-3	$\frac{1}{2} - 3$
159192	Graph	g(x)=3f(x)	$g (x) = 3 f (x)$
159193	Evaluate	f(x)=3^-2	$f (x) = 3^{- 2}$
159194	Graph	y-1=2/3(x-3)	$y - 1 = \frac{2}{3} (x - 3)$
159195	Solve for x	-3x+9-2x=-12-5x	$- 3 x + 9 - 2 x = - 12 - 5 x$
159196	Simplify	-3/2	$\frac{- 3}{2}$
159197	Solve the Inequality for x	2x-3>7	$2 x - 3 > 7$
159198	Solve by Factoring	x^2-16=-2x-1	$x^{2} - 16 = - 2 x - 1$
159199	Solve the Inequality for x	x^2-9x+18>0	$x^{2} - 9 x + 18 > 0$
159200	Graph	graph y=x	graph $y = x$