Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
12001	Find the Vertex	f(x)=-3x^2-7x+2	$f (x) = - 3 x^{2} - 7 x + 2$
12002	Find the Foci	16y^2-4x^2=64	$16 y^{2} - 4 x^{2} = 64$
12003	Convert to Scientific Notation	0.00032	$0.00032$
12004	Find the Foci	y^2-25x^2=25	$y^{2} - 25 x^{2} = 25$
12005	Convert to Scientific Notation	6300000	$6300000$
12006	Expand Using the Binomial Theorem	(y+2)^2	${(y + 2)}^{2}$
12007	Convert to a Mixed Number	6.83	$6.83$
12008	Expand Using the Binomial Theorem	(2x+9)^2	${(2 x + 9)}^{2}$
12009	Expand Using the Binomial Theorem	(5x-y)^3	${(5 x - y)}^{3}$
12010	Convert to Scientific Notation	6.4*10^5+36000	$6.4 \cdot 10^{5} + 36000$
12011	Find the Roots (Zeros)	F(x)=x^3-6x^2+4x+15	$F (x) = x^{3} - 6 x^{2} + 4 x + 15$
12012	Find the Vertex	y=-x^2-6x-10	$y = - x^{2} - 6 x - 10$
12013	Find the Roots (Zeros)	f(x)=3x^3-9x^2+3x+2	$f (x) = 3 x^{3} - 9 x^{2} + 3 x + 2$
12014	Find the Roots (Zeros)	f(x)=3x^3-4x^2-8x+4	$f (x) = 3 x^{3} - 4 x^{2} - 8 x + 4$
12015	Find the Vertex	y=x^2-2x-4	$y = x^{2} - 2 x - 4$
12016	Graph	f(x) = square root of x-2	$f (x) = \sqrt{x - 2}$
12017	Find the Roots (Zeros)	f(x)=5x^2+6x-8	$f (x) = 5 x^{2} + 6 x - 8$
12018	Expand the Trigonometric Expression	(5b-7)^2	${(5 b - 7)}^{2}$
12019	Convert to a Decimal	5 3/4	$5 \frac{3}{4}$
12020	Graph	y^2=16x	$y^{2} = 16 x$
12021	Convert to a Decimal	33 1/3%	$33 \frac{1}{3} %$
12022	Convert to a Decimal	13/40	$\frac{13}{40}$
12023	Graph	y=(x-1)^2-4	$y = {(x - 1)}^{2} - 4$
12024	Convert to a Decimal	101/500	$\frac{101}{500}$
12025	Convert to a Decimal	3/22	$\frac{3}{22}$
12026	Find the GCF	7a^2x^2+7a^2x+7a^2	$7 a^{2} x^{2} + 7 a^{2} x + 7 a^{2}$
12027	Graph	f(x)=(1/7)^x	$f (x) = {(\frac{1}{7})}^{x}$
12028	Find Where Undefined/Discontinuous	(y^8+6y^4+8)/(y^8+5y^4+6)	$\frac{y^{8} + 6 y^{4} + 8}{y^{8} + 5 y^{4} + 6}$
12029	Solve Using the Square Root Property	(x-7)^2=36	${(x - 7)}^{2} = 36$
12030	Find the LCD	(m+n)/(12mn)(n+m)/(18m^3n)	$\frac{m + n}{12 m n} \frac{n + m}{18 m^{3} n}$
12031	Solve Using the Square Root Property	(x-5)^2=20	${(x - 5)}^{2} = 20$
12032	Find the Degree	5/7y^3+5y^2+y+1	$\frac{5}{7} y^{3} + 5 y^{2} + y + 1$
12033	Solve Using the Square Root Property	x^2=125	$x^{2} = 125$
12034	Find the Distance Between Two Points	(-6,4) , (3,-8)	$(- 6, 4) (3, - 8)$
12035	Find the Distance Between Two Points	(7/8,-1/8) , (-1/8,7/8)	$(\frac{7}{8}, - \frac{1}{8}) (- \frac{1}{8}, \frac{7}{8})$
12036	Find the Slope and y-intercept	2(y+1)=10x+3	$2 (y + 1) = 10 x + 3$
12037	Solve Using the Square Root Property	(x+3)^2=-16	${(x + 3)}^{2} = - 16$
12038	Find the x and y Intercepts	F(x)=x^3-5x^2-8x+48	$F (x) = x^{3} - 5 x^{2} - 8 x + 48$
12039	Find the x and y Intercepts	f(x)=2x^3+8x^2-8x-32	$f (x) = 2 x^{3} + 8 x^{2} - 8 x - 32$
12040	Solve Using the Square Root Property	(r-4)^2=-3	${(r - 4)}^{2} = - 3$
12041	Combine	-5r+8r+5	$- 5 r + 8 r + 5$
12042	Convert to Regular Notation	4.7*10^4	$4.7 \cdot 10^{4}$
12043	Solve Using the Square Root Property	2x^2=22	$2 x^{2} = 22$
12044	Convert to Regular Notation	9*10^-3	$9 \cdot 10^{- 3}$
12045	Write in Standard Form	(3+b^2)(3-b^2)	$(3 + b^{2}) (3 - b^{2})$
12046	Convert to a Simplified Fraction	64%	$64 %$
12047	Convert to a Percentage	0.04	$0.04$
12048	Find the Roots (Zeros)	y=(x-8)(x+3)^2	$y = (x - 8) {(x + 3)}^{2}$
12049	Find the Inverse	f(x)=1/2x-5	$f (x) = \frac{1}{2} x - 5$
12050	Find the Range	g(x)=3(2)^x-1	$g (x) = 3 {(2)}^{x} - 1$
12051	Graph	y=-1/4x-3	$y = - \frac{1}{4} x - 3$
12052	Graph	y=x^2-3x	$y = x^{2} - 3 x$
12053	Simplify	(x-11)^2	${(x - 11)}^{2}$
12054	Find the Vertex	y=-2\|x-7\|+2	$y = - 2 \| x - 7 \| + 2$
12055	Graph	y=4-x	$y = 4 - x$
12056	Find the Vertex	y=2/3(x-4)^2+1	$y = \frac{2}{3} {(x - 4)}^{2} + 1$
12057	Identify the Zeros and Their Multiplicities	y=7x^3-7x	$y = 7 x^{3} - 7 x$
12058	Graph	f(x)=4^(x-1)	$f (x) = 4^{x - 1}$
12059	Find the Asymptotes	f(x)=(x^2+4)/(4x^2-4x-8)	$f (x) = \frac{x^{2} + 4}{4 x^{2} - 4 x - 8}$
12060	Graph	y=3/2x-3	$y = \frac{3}{2} x - 3$
12061	Evaluate Using Scientific Notation	(2.6410^-3)/(8.010^0)	$\frac{2.64 \cdot 10^{- 3}}{8 \cdot 10^{0}}$
12062	Subtract	(9x)/(5x^2-37x+14)-x/(7x^2-54x+35)	$\frac{9 x}{5 x^{2} - 37 x + 14} - \frac{x}{7 x^{2} - 54 x + 35}$
12063	Graph	y<-2x+3	$y < - 2 x + 3$
12064	Subtract	21-12	$21 - 12$
12065	Graph	y<2x-3	$y < 2 x - 3$
12066	Subtract	27-9	$27 - 9$
12067	Graph	y<4x-2	$y < 4 x - 2$
12068	Subtract	180-70	$180 - 70$
12069	Graph	x=y	$x = y$
12070	Subtract	400-256	$400 - 256$
12071	Convert to Logarithmic Form	144=12^2	$144 = 12^{2}$
12072	Solve for x	8x<=-32	$8 x \leq - 32$
12073	Convert to Logarithmic Form	49^(1/2)=7	$49^{\frac{1}{2}} = 7$
12074	Simplify	( square root of 3- square root of 6)/( square root of 3+ square root of 6)	$\frac{\sqrt{3} - \sqrt{6}}{\sqrt{3} + \sqrt{6}}$
12075	Convert to a Percentage	0.55	$0.55$
12076	Subtract	2/(a^2b^3)-1/(ab)	$\frac{2}{a^{2} b^{3}} - \frac{1}{a b}$
12077	Find the Center and Radius	x^2+y^2-10x-16y+53=0	$x^{2} + y^{2} - 10 x - 16 y + 53 = 0$
12078	Graph	x<-3	$x < - 3$
12079	Find Where Undefined/Discontinuous	y=(30-5x)/(x^2-11x+30)	$y = \frac{30 - 5 x}{x^{2} - 11 x + 30}$
12080	Complete the Square	x^2-1/2x	$x^{2} - \frac{1}{2} x$
12081	Find Where Undefined/Discontinuous	y=(12-2x)/(x^2-8x+12)	$y = \frac{12 - 2 x}{x^{2} - 8 x + 12}$
12082	Find the Perfect Square Trinomial	x^2-3x	$x^{2} - 3 x$
12083	Convert to Interval Notation	x^2<=9	$x^{2} \leq 9$
12084	Find the Perfect Square Trinomial	x^2+17x	$x^{2} + 17 x$
12085	Determine the Type of Number	1	$1$
12086	Convert to Interval Notation	(5x+7)/(x-1)<-2	$\frac{5 x + 7}{x - 1} < - 2$
12087	Simplify	(2x-9)(x+6)	$(2 x - 9) (x + 6)$
12088	Find the Maximum/Minimum Value	y=-x^2+6x-1	$y = - x^{2} + 6 x - 1$
12089	Evaluate	log base 2 of 2^5	$\log_{2} (2^{5})$
12090	Graph	y=[x]	$y = [x]$
12091	Find the Slope	y-9=-2(x-8)	$y - 9 = - 2 (x - 8)$
12092	Simplify	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
12093	Find the Slope	y=3x+11	$y = 3 x + 11$
12094	Graph	x<=-7	$x \leq - 7$
12095	Solve Using the Square Root Property	(x-2)^2=36	${(x - 2)}^{2} = 36$
12096	Evaluate the Function	F(5)=3^x	$F (5) = 3^{x}$
12097	Factor	f(x)=x^3-7x^2+7x+15	$f (x) = x^{3} - 7 x^{2} + 7 x + 15$
12098	Evaluate the Function	f(4)=1/3*4^x	$f (4) = \frac{1}{3} \cdot 4^{x}$
12099	Solve for a	p=f/a	$p = \frac{f}{a}$
12100	Rationalize the Denominator	(x^2-16)/( square root of x-2)	$\frac{(x^{2} - 16)}{\sqrt{x} - 2}$