Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
110001	Solve for a	1/3*\|3a-3\|-6>2	$\frac{1}{3} \cdot \| 3 a - 3 \| - 6 > 2$
110002	Simplify	9n^2(1/3n)^4	$9 n^{2} {(\frac{1}{3} n)}^{4}$
110003	Find the Domain	-x+9	$- x + 9$
110004	Solve for a	4a>32	$4 a > 32$
110005	Solve for a	4(2a+2)-17<15	$4 (2 a + 2) - 17 < 15$
110006	Solve for c	10c+5=45	$10 c + 5 = 45$
110007	Find the Domain and Range	f(x)=1/6x^2	$f (x) = \frac{1}{6} x^{2}$
110008	Solve for c	3(4c-5)-2c>0	$3 (4 c - 5) - 2 c > 0$
110009	Solve for b	3(4b-5)<-28+12b	$3 (4 b - 5) < - 28 + 12 b$
110010	Convert to Interval Notation	\|x+1\|<=6	$\| x + 1 \| \leq 6$
110011	Solve for b	-2b+4>-6	$- 2 b + 4 > - 6$
110012	Convert to Interval Notation	{x\|x>=-2}	${x \| x \geq - 2}$
110013	Solve for b	a>(wh)+0.5(bh)	$a > (w h) + 0.5 (b h)$
110014	Solve for d	d/2-1=3	$\frac{d}{2} - 1 = 3$
110015	Convert to Interval Notation	\|12-4x\|<=11	$\| 12 - 4 x \| \leq 11$
110016	Solve for d	3(d-2)-2d>16	$3 (d - 2) - 2 d > 16$
110017	Convert to Interval Notation	2x^2+x>=15	$2 x^{2} + x \geq 15$
110018	Solve for d	56<-7d	$56 < - 7 d$
110019	Convert to Interval Notation	\|10-4x\|>=16	$\| 10 - 4 x \| \geq 16$
110020	Solve for h	h=(6h+3)/5	$h = \frac{6 h + 3}{5}$
110021	Solve for g	s=1/2*(gt^2)	$s = \frac{1}{2} \cdot (g t^{2})$
110022	Solve for m	3(10+2m)=96	$3 (10 + 2 m) = 96$
110023	Solve for m	m^2+2m=24	$m^{2} + 2 m = 24$
110024	Solve for k	k>9/2	$k > \frac{9}{2}$
110025	Simplify	81x^4-1	$81 x^{4} - 1$
110026	Find the Domain	f(x) = square root of 27-3x	$f (x) = \sqrt{27 - 3 x}$
110027	Solve for P	2(P+1)+3(P+2)>2	$2 (P + 1) + 3 (P + 2) > 2$
110028	Solve for p	\|p\|=12	$\| p \| = 12$
110029	Find the Domain	f(x)=1/( square root of x+15)	$f (x) = \frac{1}{\sqrt{x + 15}}$
110030	Solve for n	25=n+13	$25 = n + 13$
110031	Solve for n	-6>n-4	$- 6 > n - 4$
110032	Find the Domain	f(x) = square root of 45-5x	$f (x) = \sqrt{45 - 5 x}$
110033	Solve for n	12n=84	$12 n = 84$
110034	Solve for n	(n+5)/-16=-1	$\frac{n + 5}{- 16} = - 1$
110035	Solve for n	(n-5)/6+(n+3)/7=11/21	$\frac{n - 5}{6} + \frac{n + 3}{7} = \frac{11}{21}$
110036	Find the Domain	f(x)=(3x-5)/2	$f (x) = \frac{3 x - 5}{2}$
110037	Solve for n	5^(2n+3)<25	$5^{2 n + 3} < 25$
110038	Solve for n	9^(2n)=1/6561	$9^{2 n} = \frac{1}{6561}$
110039	Find the Center and Radius	x^2+y^2-8x+7=0	$x^{2} + y^{2} - 8 x + 7 = 0$
110040	Find the Vertex	y=3(x+5)^2-4	$y = 3 {(x + 5)}^{2} - 4$
110041	Find the Roots (Zeros)	f(x)=x^3-9x^2+31x-39	$f (x) = x^{3} - 9 x^{2} + 31 x - 39$
110042	Expand the Logarithmic Expression	log base 5 of 7 cube root of 11*12	$\log_{5} (7 \sqrt[3]{11 \cdot 12})$
110043	Expand the Logarithmic Expression	log of (z^5)/(y square root of x^3)	$\log (\frac{z^{5}}{y \sqrt{x^{3}}})$
110044	Expand the Logarithmic Expression	log of ( cube root of x^7)/(y^2z)	$\log (\frac{\sqrt[3]{x^{7}}}{y^{2} z})$
110045	Solve for x	y<4x-2	$y < 4 x - 2$
110046	Expand the Logarithmic Expression	log base 4 of x/(3y)	$\log_{4} (\frac{x}{3 y})$
110047	Solve for x	sixth root of 49=7^x	$\sqrt[6]{49} = 7^{x}$
110048	Solve for x	5x-17=-x+7	$5 x - 17 = - x + 7$
110049	Find the Slope	(17,-13) , (17,8)	$(17, - 13)$ , $(17, 8)$
110050	Find the Slope	5x-12y=24	$5 x - 12 y = 24$
110051	Factor	b(a+b)-a(a-b)	$b (a + b) - a (a - b)$
110052	Solve by Factoring	square root of x=0	$\sqrt{x} = 0$
110053	Solve by Graphing	x^2-2x-3=0	$x^{2} - 2 x - 3 = 0$
110054	Convert to a Percentage	2/30	$\frac{2}{30}$
110055	Evaluate the Function	f(0)=x^2-1	$f (0) = x^{2} - 1$
110056	Graph	y=-x^2+4x+8	$y = - x^{2} + 4 x + 8$
110057	Evaluate the Function	f(x+4)=x/(x^2+1)	$f (x + 4) = \frac{x}{x^{2} + 1}$
110058	Evaluate	sin(30)	$\sin (30)$
110059	Simplify	6y(y-21)	$6 y (y - 21)$
110060	Solve for y	x>2y	$x > 2 y$
110061	Simplify	-9x^2+19x-9x+6-17x^2+25+10x^2+3x	$- 9 x^{2} + 19 x - 9 x + 6 - 17 x^{2} + 25 + 10 x^{2} + 3 x$
110062	Find the Discriminant	x^2-26x+169=0	$x^{2} - 26 x + 169 = 0$
110063	Simplify	4 square root of 80	$4 \sqrt{80}$
110064	Find the Discriminant	3g^2+15g+10=0	$3 g^{2} + 15 g + 10 = 0$
110065	Convert to Radical Form	(54c)^(2/3)	${(54 c)}^{\frac{2}{3}}$
110066	Simplify	((a^5)/(a^-3b^-4))^(1/4)	${(\frac{a^{5}}{a^{- 3} b^{- 4}})}^{\frac{1}{4}}$
110067	Simplify	((16x^2)^(1/4))/((16x^2)^(3/4))	$\frac{{(16 x^{2})}^{\frac{1}{4}}}{{(16 x^{2})}^{\frac{3}{4}}}$
110068	Solve for x	3x=-39	$3 x = - 39$
110069	Simplify	(5-2 square root of 3)(5+2 square root of 3)	$(5 - 2 \sqrt{3}) (5 + 2 \sqrt{3})$
110070	Solve for y	8(y-2)=4y	$8 (y - 2) = 4 y$
110071	Find the x and y Intercepts	y=3x^3-81	$y = 3 x^{3} - 81$
110072	Solve for x	(2x+1)=5	$(2 x + 1) = 5$
110073	Solve for x	\|2x-5\|=4	$\| 2 x - 5 \| = 4$
110074	Simplify	square root of x/25	$\sqrt{\frac{x}{25}}$
110075	Convert to Radical Form	(2^(1/2)*2^(3/4))^2	${(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})}^{2}$
110076	Write in Exponential Form	log base 8 of 1=0	$\log_{8} (1) = 0$
110077	Find the Roots (Zeros)	x^3-12x^2+47x-60	$x^{3} - 12 x^{2} + 47 x - 60$
110078	Evaluate	log base 4 of 17	$\log_{4} (17)$
110079	Solve by Factoring	(-7x+2)^(1/3)=(4+3x)^(1/3)	${(- 7 x + 2)}^{\frac{1}{3}} = {(4 + 3 x)}^{\frac{1}{3}}$
110080	Convert to a Decimal	25/24	$\frac{25}{24}$
110081	Solve Using the Quadratic Formula	10-6x-9x^2=-9x	$10 - 6 x - 9 x^{2} = - 9 x$
110082	Solve Using the Quadratic Formula	10-6x-9x^2=-9x	$10 - 6 x - 9 x^{2} = - 9 x$
110083	Solve Using the Quadratic Formula	-2x^2+7x+1=17	$- 2 x^{2} + 7 x + 1 = 17$
110084	Solve Using the Quadratic Formula	(x-3)(x-5)=35	$(x - 3) (x - 5) = 35$
110085	Solve Using the Quadratic Formula	0=5x^2-2x+6	$0 = 5 x^{2} - 2 x + 6$
110086	Evaluate	(7/4)^11	${(\frac{7}{4})}^{11}$
110087	Graph	xy>=10	$x y \geq 10$
110088	Graph	f(x)=10-\|x\|	$f (x) = 10 - \| x \|$
110089	Graph	f(x)=\|x+6\|	$f (x) = \| x + 6 \|$
110090	Multiply	(5x+y)(5x-y)	$(5 x + y) (5 x - y)$
110091	Multiply	(5x-2)(5x-2)	$(5 x - 2) (5 x - 2)$
110092	Multiply	(6- square root of 3)(6+ square root of 3)	$(6 - \sqrt{3}) (6 + \sqrt{3})$
110093	Multiply	(7r^2-6r-6)(2r-4)	$(7 r^{2} - 6 r - 6) (2 r - 4)$
110094	Write as a Single Logarithm	3 log of 2+ log of 7	$3 \log (2) + \log (7)$
110095	Multiply	(9+ square root of 2)(9- square root of 2)	$(9 + \sqrt{2}) (9 - \sqrt{2})$
110096	Multiply	(8p-2)(6p+2)	$(8 p - 2) (6 p + 2)$
110097	Simplify/Condense	7 log base 3 of k+6 log base 3 of m-9 log base 3 of n	$7 \log_{3} (k) + 6 \log_{3} (m) - 9 \log_{3} (n)$
110098	Multiply	(7x+9)(7x-9)	$(7 x + 9) (7 x - 9)$
110099	Multiply	(8 square root of 3-2 square root of 2)(8 square root of 3+2 square root of 2)	$(8 \sqrt{3} - 2 \sqrt{2}) (8 \sqrt{3} + 2 \sqrt{2})$
110100	Multiply	(8- square root of 6)(8+ square root of 6)	$(8 - \sqrt{6}) (8 + \sqrt{6})$