Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203001	Graph	8x>=-24 and 10>2x+6	$8 x \geq - 24$ and $10 > 2 x + 6$
203002	Solve for x	(1/243)^(2x-14)=243^(-x+8)	${(\frac{1}{243})}^{2 x - 14} = 243^{- x + 8}$
203003	Find the Domain and Range	4x=-3y+xy	$4 x = - 3 y + x y$
203004	Graph	9x^0y^(-)*3	$9 x^{0} y^{-} \cdot 3$
203005	Simplify	((3x)/16)÷((3x-9)/20)	$\frac{3 x}{16} \div \frac{3 x - 9}{20}$
203006	Simplify	3xy(x^2+xy+y^2)	$3 x y (x^{2} + x y + y^{2})$
203007	Solve for x	2 square root of 4x-1=-1	$2 \sqrt{4 x - 1} = - 1$
203008	Evaluate	1/3x^4=27	$\frac{1}{3} x^{4} = 27$
203009	Solve for y	6 square root of y-5=y+3	$6 \sqrt{y - 5} = y + 3$
203010	Solve for q	x^2+px+q=(x-13)(x+1)	$x^{2} + p x + q = (x - 13) (x + 1)$
203011	Solve by Addition/Elimination	2x+3y=6 2y=5-x	$2 x + 3 y = 6$ $2 y = 5 - x$
203012	Simplify	(x+3y-6z)^2	${(x + 3 y - 6 z)}^{2}$
203013	Solve by Substitution	8x-3y=10 8x^2-3y^2+30y=80	$8 x - 3 y = 10$ $8 x^{2} - 3 y^{2} + 30 y = 80$
203014	Solve for m	8(4-5m)=-4(6+8m)	$8 (4 - 5 m) = - 4 (6 + 8 m)$
203015	Simplify	(x+6)/2-3x	$\frac{x + 6}{2} - 3 x$
203016	Graph	{(x,y)\|x=2}	${(x, y) \| x = 2}$
203017	Find the Quadratic Equation Given the Roots	-2 , 1+ square root of 7	$- 2$ , $1 + \sqrt{7}$
203018	Find the Roots (Zeros)	0=x^2(x+3)^2(x-1)	$0 = x^{2} {(x + 3)}^{2} (x - 1)$
203019	Simplify	(5/8-1/3)÷(2/5+1)	$(\frac{5}{8} - \frac{1}{3}) \div (\frac{2}{5} + 1)$
203020	Solve for x	20=20 log of x/200	$20 = 20 \log (\frac{x}{200})$
203021	Simplify	5b^2+(a^2+5b)(ab-b^2)	$5 b^{2} + (a^{2} + 5 b) (a b - b^{2})$
203022	Write in Exponential Form	( square root of x)^2	${(\sqrt{x})}^{2}$
203023	Simplify	(3/4)÷(12/(2x+6))	$\frac{3}{4} \div \frac{12}{2 x + 6}$
203024	Solve by Factoring	5w^3=50w	$5 w^{3} = 50 w$
203025	Solve the System of Equations	y=x+4 2x-2y=10	$y = x + 4$ $2 x - 2 y = 10$
203026	Find All Complex Solutions	square root of 9x+10=x	$\sqrt{9 x + 10} = x$
203027	Solve by Graphing	y=-3/5x-1 y=-4/5x	$y = - \frac{3}{5} x - 1$ $y = - \frac{4}{5} x$
203028	Simplify	(4x^3(x^2-4)^(5/3))/((2x)^3(x-2) cube root of (x^2-4)^2)	$\frac{4 x^{3} {(x^{2} - 4)}^{\frac{5}{3}}}{{(2 x)}^{3} (x - 2) \sqrt[3]{{(x^{2} - 4)}^{2}}}$
203029	Simplify	(2 square root of x-3 square root of y)/( square root of x+ square root of y)	$\frac{2 \sqrt{x} - 3 \sqrt{y}}{\sqrt{x} + \sqrt{y}}$
203030	Find the Product	-2(3x^2-x-5)	$- 2 (3 x^{2} - x - 5)$
203031	Solve for x	cube root of 2x-1+3=0	$\sqrt[3]{2 x - 1} + 3 = 0$
203032	Graph	x>=4 y<=x-3	$x \geq 4$ $y \leq x - 3$
203033	Graph	yy<=-1/2x+1	$y \cdot y \leq - \frac{1}{2} x + 1$
203034	Simplify	3/4c-7/12+7/24c+2/3-1/6c	$\frac{3}{4} c - \frac{7}{12} + \frac{7}{24} c + \frac{2}{3} - \frac{1}{6} c$
203035	Graph	x<y+3	$x < y + 3$
203036	Simplify	3 fourth root of 8*7 fourth root of 32	$3 \sqrt[4]{8} \cdot 7 \sqrt[4]{32}$
203037	Write in Standard Form	y=(x+4)(x+1)(x-1)^2	$y = (x + 4) (x + 1) {(x - 1)}^{2}$
203038	Solve by Addition/Elimination	3x+6y=27 x+2y=11	$3 x + 6 y = 27$ $x + 2 y = 11$
203039	Solve Using the Quadratic Formula	mg=w	$mg = w$
203040	Simplify	8/(2s^-3)	$\frac{8}{2 s^{- 3}}$
203041	Solve for p	22p=6	$22 p = 6$
203042	Subtract	-2/3-5/6	$\frac{- 2}{3} - \frac{5}{6}$
203043	Evaluate	fourth root of 2m=4	$\sqrt[4]{2 m} = 4$
203044	Evaluate	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
203045	Simplify	(2-6x)/(-9x+3)	$\frac{2 - 6 x}{- 9 x + 3}$
203046	Solve for x	3(3x+2)-2x=7x+6	$3 (3 x + 2) - 2 x = 7 x + 6$
203047	Find the Roots (Zeros)	f(t)=3t(t-3)(t+4)	$f (t) = 3 t (t - 3) (t + 4)$
203048	Evaluate	(1+3^2)/2-4^2	$\frac{1 + 3^{2}}{2} - 4^{2}$
203049	Find All Complex Solutions	\|x\|+x=0	$\| x \| + x = 0$
203050	Simplify	fifth root of (( square root of 4x)^2( cube root of 3x)^3)/(( square root of 5)^2)	$\sqrt[5]{\frac{{(\sqrt{4 x})}^{2} {(\sqrt[3]{3 x})}^{3}}{{(\sqrt{5})}^{2}}}$
203051	Solve for x	1/6+1/(3x)=3/(2x)	$\frac{1}{6} + \frac{1}{3 x} = \frac{3}{2 x}$
203052	Find the Inverse	f(x)=1/5(x-2)^2+3	$f (x) = \frac{1}{5} {(x - 2)}^{2} + 3$
203053	Simplify	10i^62+11i^41+6i^84+5i^104	$10 i^{62} + 11 i^{41} + 6 i^{84} + 5 i^{104}$
203054	Subtract	3 square root of 48-2 square root of 27-2 square root of 18	$3 \sqrt{48} - 2 \sqrt{27} - 2 \sqrt{18}$
203055	Solve the Inequality for x	(10-x)/(x-3)>0	$\frac{10 - x}{x - 3} > 0$
203056	Simplify	square root of x^7y^7*3 square root of 5x^3y^2	$\sqrt{x^{7} y^{7}} \cdot 3 \sqrt{5 x^{3} y^{2}}$
203057	Simplify	-3y^2z^2*(-2yz^2-3z)	$- 3 y^{2} z^{2} \cdot (- 2 y z^{2} - 3 z)$
203058	Write the Fraction in Simplest Form	(15b^10)/((5b^5)^2)	$\frac{15 b^{10}}{{(5 b^{5})}^{2}}$
203059	Solve the System of Equations	6(x+y)=6 -2x-6y=-38	$6 (x + y) = 6$ $- 2 x - 6 y = - 38$
203060	Solve the Absolute Value Inequality for x	\|(x-1)/(3x-6)\|=(1-x)/(3x-6)	$\| \frac{x - 1}{3 x - 6} \| = \frac{1 - x}{3 x - 6}$
203061	Rationalize the Denominator	(2- square root of 3)/(5- square root of 3)	$\frac{2 - \sqrt{3}}{5 - \sqrt{3}}$
203062	Factor	9y^2-(1+2y)^2	$9 y^{2} - {(1 + 2 y)}^{2}$
203063	Simplify	sixth root of 3* cube root of 4	$\sqrt[6]{3} \cdot \sqrt[3]{4}$
203064	Evaluate Using the Given Value	e^x+100e+8x^4+49 at x=1	$e^{x} + 100 e + 8 x^{4} + 49$ at $x = 1$
203065	Simplify	((5^3)/(5^4))^-3	${(\frac{5^{3}}{5^{4}})}^{- 3}$
203066	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,6) and has a slope of 1/3 ?	What is the equation of the line that passes through the point $(- 6, 6)$ and has a slope of $\frac{1}{3}$ ?
203067	Simplify	(3 fifth root of 64x^10y^3)/( fifth root of 2x^3y^-7)	$\frac{3 \sqrt[5]{64 x^{10} y^{3}}}{\sqrt[5]{2 x^{3} y^{- 7}}}$
203068	Simplify	4/(3 square root of 2x)	$\frac{4}{3 \sqrt{2 x}}$
203069	Solve for x	16/6=(3x)/9	$\frac{16}{6} = \frac{3 x}{9}$
203070	Solve by Graphing	y=-3/2x-4 y=x+1	$y = - \frac{3}{2} x - 4$ $y = x + 1$
203071	Evaluate	2^-9*4^3	$2^{- 9} \cdot 4^{3}$
203072	Determine if a Polynomial	x+x^2	$x + x^{2}$
203073	Solve for b	329=-7(1+6b)	$329 = - 7 (1 + 6 b)$
203074	Simplify	square root of 21b square root of 35b	$\sqrt{21 b} \sqrt{35 b}$
203075	Simplify	fourth root of 1/(p^5*p^7)	$\sqrt[4]{\frac{1}{p^{5} \cdot p^{7}}}$
203076	Write in Slope-Intercept Form	9x-2y<0	$9 x - 2 y < 0$
203077	Simplify	(12+8k^3+3k-4k^2)+(5k^3+15-k+2k^2)	$(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})$
203078	Graph	y=5/3x y=2x-1	$y = \frac{5}{3} x$ $y = 2 x - 1$
203079	Solve by Factoring	1/4y^2+y=0	$\frac{1}{4} y^{2} + y = 0$
203080	Graph	y=x+3 y=2/5x	$y = x + 3$ $y = \frac{2}{5} x$
203081	Simplify	(-48y-16)/(6y+2)	$\frac{- 48 y - 16}{6 y + 2}$
203082	Graph	4x-4y=20 y=-5	$4 x - 4 y = 20$ $y = - 5$
203083	Divide Using Long Polynomial Division	(x^3+3x^2-4x-6)÷(x^2-4)	$(x^{3} + 3 x^{2} - 4 x - 6) \div (x^{2} - 4)$
203084	Graph	(1,2) and (3,4)	$(1, 2)$ and $(3, 4)$
203085	Solve by Graphing	y=-1/3x+2 y=-2/3x+4	$y = - \frac{1}{3} x + 2$ $y = - \frac{2}{3} x + 4$
203086	Solve for x	-1/4x=5/2	$- \frac{1}{4} x = \frac{5}{2}$
203087	Graph	x/2+y/3>1	$\frac{x}{2} + \frac{y}{3} > 1$
203088	Evaluate	e^(ipi)+1	$e^{i π} + 1$
203089	Simplify	3/5y+(-6/5y)	$\frac{3}{5} y + (- \frac{6}{5} y)$
203090	Solve by Substitution	1/2x+y=-4 y=2x+16	$\frac{1}{2} x + y = - 4$ $y = 2 x + 16$
203091	Simplify the Radical Expression	-6 square root of 150r	$- 6 \sqrt{150 r}$
203092	Solve for m	L=5mn^2	$L = 5 m n^{2}$
203093	Simplify	y square root of x^3y-7 square root of x^3y^3+2x square root of xy^3	$y \sqrt{x^{3} y} - 7 \sqrt{x^{3} y^{3}} + 2 x \sqrt{x y^{3}}$
203094	Graph	f(x)=2^(-x+3)+7	$f (x) = 2^{- x + 3} + 7$
203095	Solve for x	(1/25)^(33x+105)=5^(3x^2-15x)	${(\frac{1}{25})}^{33 x + 105} = 5^{3 x^{2} - 15 x}$
203096	Find the Quadratic Equation Given the Roots	0 , -3 , square root of 2	$0$ , $- 3$ , $\sqrt{2}$
203097	Solve for r	12=pir^2h	$12 = π r^{2} h$
203098	Solve for x	2 1/4=1 2/7÷x	$2 \frac{1}{4} = 1 \frac{2}{7} \div x$
203099	Solve for f	7.4f=10f-7.8	$7.4 f = 10 f - 7.8$
203100	Solve for x	2 3/4x=33/2	$2 \frac{3}{4} x = \frac{33}{2}$