Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185901	Find the Distance Between Two Points	(6,-1) and (-1,6)	$(6, - 1)$ and $(- 1, 6)$
185902	Solve Using the Quadratic Formula	x^4-8x^2+16=0	$x^{4} - 8 x^{2} + 16 = 0$
185903	Solve for x	(6x)^(2/3)=36	${(6 x)}^{\frac{2}{3}} = 36$
185904	Solve for x	(x^2-29)/(x^2-10x+21)=6/(x-7)+5/(x-3)	$\frac{x^{2} - 29}{x^{2} - 10 x + 21} = \frac{6}{x - 7} + \frac{5}{x - 3}$
185905	Solve the System of Equations	2x+y+z=-3 -2x+2y+z=4 -x+y+2z=5	$2 x + y + z = - 3$ $- 2 x + 2 y + z = 4$ $- x + y + 2 z = 5$
185906	Factor	x^2+(a+b)x+ab	$x^{2} + (a + b) x + a b$
185907	Solve Using the Quadratic Formula	A=pir^2	$A = π r^{2}$
185908	Convert to Radical Form	(3^8)/(3^2)	$\frac{3^{8}}{3^{2}}$
185909	Find the Midpoint	(4,6) and (1,3)	$(4, 6)$ and $(1, 3)$
185910	Graph	y=5/6x+7 y=-4/3x-6	$y = \frac{5}{6} x + 7$ $y = - \frac{4}{3} x - 6$
185911	Graph	y=x^2+3,x<4; x+4,x>=4	$y = {\begin{cases} x^{2} + 3, x < 4 \\ x + 4, x \geq 4 \end{cases}$
185912	Write in Slope-Intercept Form	(3,-2) and (0,4)	$(3, - 2)$ and $(0, 4)$
185913	Find the Parabola with Focus (9,0) and Directrix y=-4	(9,0) y=-4	$(9, 0)$ $y = - 4$
185914	Simplify	(x/8)/8	$\frac{\frac{x}{8}}{8}$
185915	Solve the Inequality for x	4/(x+1)<4	$\frac{4}{x + 1} < 4$
185916	Write in Standard Form	6x^2=-x+1	$6 x^{2} = - x + 1$
185917	Find g(f(x))	f(x)=x+7 g(x)=x^2+2x-1	$f (x) = x + 7$ $g (x) = x^{2} + 2 x - 1$
185918	Graph	f(x)=3/4\|x\|+1	$f (x) = \frac{3}{4} \| x \| + 1$
185919	Solve the System of Equations	2x-y=8 8x-4y=8	$2 x - y = 8$ $8 x - 4 y = 8$
185920	Simplify	(a+b+c)^2-(a-b+c)^2	${(a + b + c)}^{2} - {(a - b + c)}^{2}$
185921	Simplify	2a(a^2-7)(a+2)	$2 a (a^{2} - 7) (a + 2)$
185922	Find the x and y Intercepts	f(x)=-7-3x+6x^3+x^2	$f (x) = - 7 - 3 x + 6 x^{3} + x^{2}$
185923	Solve the Inequality for x	3-x/2>=15	$3 - \frac{x}{2} \geq 15$
185924	Solve for v	-40-6v>=-10	$- 40 - 6 v \geq - 10$
185925	Simplify	1/(2 square root of 1)	$\frac{1}{2 \sqrt{1}}$
185926	Solve the System of Equations	2x+y=4 x-y=2	$2 x + y = 4$ $x - y = 2$
185927	Solve for x	x+10=x^2-1	$x + 10 = x^{2} - 1$
185928	Solve for a	a/(a+5)=3	$\frac{a}{a + 5} = 3$
185929	Find the Holes in the Graph	y=((x-2)(x+5))/((x+5)(x+3))	$y = \frac{(x - 2) (x + 5)}{(x + 5) (x + 3)}$
185930	Simplify	(z^2+5z-24)/(12z+132)*(10z+110)/(-z^2+z+6)	$\frac{z^{2} + 5 z - 24}{12 z + 132} \cdot \frac{10 z + 110}{- z^{2} + z + 6}$
185931	Evaluate	(4/3)^(3(4/3))	${(\frac{4}{3})}^{3 (\frac{4}{3})}$
185932	Convert to a Decimal	-315deg	$- 315$ degrees
185933	Simplify	(x^4-4x^2)/(5x^5+45x^4+70x^3)*(5x+35)/(x+10)	$\frac{x^{4} - 4 x^{2}}{5 x^{5} + 45 x^{4} + 70 x^{3}} \cdot \frac{5 x + 35}{x + 10}$
185934	Solve the System of Inequalities	7x+39>=53 ; AND , 16x+15>31	$7 x + 39 \geq 53$ ; AND , $16 x + 15 > 31$
185935	Simplify	(12x^3)/(8y)	$\frac{12 x^{3}}{8 y}$
185936	Solve the Inequality for x	x^2-14x+49>=0	$x^{2} - 14 x + 49 \geq 0$
185937	Solve for t	8x^2-4tx+3=0	$8 x^{2} - 4 t x + 3 = 0$
185938	Solve for x	(10x+3)/3-(3x-1)/5=x-2	$\frac{10 x + 3}{3} - \frac{3 x - 1}{5} = x - 2$
185939	Rationalize the Denominator	8/(3- square root of 5)	$\frac{8}{3 - \sqrt{5}}$
185940	Solve for d	16/6=(3d)/9	$\frac{16}{6} = \frac{3 d}{9}$
185941	Solve the Inequality for x	x^2-2x-11<=0	$x^{2} - 2 x - 11 \leq 0$
185942	Solve for y	1/5y+11=3-3/5y	$\frac{1}{5} y + 11 = 3 - \frac{3}{5} y$
185943	Simplify	(x^3-3x^2-28x)/(15x^4-240x^3+945x^2)*(x-9)/(x+4)	$\frac{x^{3} - 3 x^{2} - 28 x}{15 x^{4} - 240 x^{3} + 945 x^{2}} \cdot \frac{x - 9}{x + 4}$
185944	Find the x and y Intercepts	f(x)=8x+3x^3-x^4-x^2	$f (x) = 8 x + 3 x^{3} - x^{4} - x^{2}$
185945	Solve the Inequality for x	(x-2)/(x+3)>0	$\frac{x - 2}{x + 3} > 0$
185946	Simplify	(-7+ square root of 3x)(4+ square root of 3x)	$(- 7 + \sqrt{3 x}) (4 + \sqrt{3 x})$
185947	Solve for w	9=-7w+12w-6	$9 = - 7 w + 12 w - 6$
185948	Graph	5x<=20	$5 x \leq 20$
185949	Simplify	16x^2y-4xy^2-5x^2y+10xy^2	$16 x^{2} y - 4 x y^{2} - 5 x^{2} y + 10 x y^{2}$
185950	Find the Function	f(x)=(x+3)/2	$f (x) = \frac{x + 3}{2}$
185951	Simplify	(a^3b^4c^6)(4ac^3)^2	$(a^{3} b^{4} c^{6}) {(4 a c^{3})}^{2}$
185952	Evaluate	5/9(98.6-32)	$\frac{5}{9} (98.6 - 32)$
185953	Solve Using the Quadratic Formula	y=-3x^2+x+12	$y = - 3 x^{2} + x + 12$
185954	Solve the Absolute Value Inequality for w	\|2w-1\|<11	$\| 2 w - 1 \| < 11$
185955	Find the Roots (Zeros)	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
185956	Solve the Inequality for x	-2(5+6x)<6(8-2x)	$- 2 (5 + 6 x) < 6 (8 - 2 x)$
185957	Solve for x	3^x>=21	$3^{x} \geq 21$
185958	Find the x and y Intercepts	f(x)=-15x^5-5x^4+10x^3	$f (x) = - 15 x^{5} - 5 x^{4} + 10 x^{3}$
185959	Find the Exact Value	sin(arccos( square root of 5))	$\sin (\arccos (\sqrt{5}))$
185960	Simplify	(3^4*b^5)^2	${(3^{4} \cdot b^{5})}^{2}$
185961	Solve for a	x/( fifth root of x^4)=x^a	$\frac{x}{\sqrt[5]{x^{4}}} = x^{a}$
185962	Divide	(3/(2x))÷9	$\frac{3}{2 x} \div 9$
185963	Evaluate	3+2(6)+6^3	$3 + 2 (6) + 6^{3}$
185964	Solve the Absolute Value Inequality for n	\|n/7\|-6>-5	$\| \frac{n}{7} \| - 6 > - 5$
185965	Graph	(-1, square root of 3)	$(- 1, \sqrt{3})$
185966	Solve for n	2/5n+6=10	$\frac{2}{5} n + 6 = 10$
185967	Simplify	(m/n*n/p)÷(p/q)	$\frac{m}{n} \cdot \frac{n}{p} \div \frac{p}{q}$
185968	Solve the Inequality for x	3(x+1)+2(x+2)>0	$3 (x + 1) + 2 (x + 2) > 0$
185969	Solve for x	(x-1)(x+7)=(x+1)(x-3)	$(x - 1) (x + 7) = (x + 1) (x - 3)$
185970	Solve the System of Equations	y=-1/2x+6 y=2x-4	$y = - \frac{1}{2} x + 6$ $y = 2 x - 4$
185971	Find the Exact Value	log base 3 of square root of 27	$\log_{3} (\sqrt{27})$
185972	Graph Using a Table of Values	y=12/x	$y = \frac{12}{x}$
185973	Write in Standard Form	5x^2-7x=0	$5 x^{2} - 7 x = 0$
185974	Simplify	((x^2-11x+30)/(x^2-4))÷((x^2-25)/(x-2))	$\frac{x^{2} - 11 x + 30}{x^{2} - 4} \div \frac{x^{2} - 25}{x - 2}$
185975	Simplify	(a^5*2^3)^3	${(a^{5} \cdot 2^{3})}^{3}$
185976	Evaluate	(9!)/(0!(9-0)!)	$\frac{9!}{0! (9 - 0)!}$
185977	Simplify	(x+5)/(x^2)-2/(5x)	$\frac{x + 5}{x^{2}} - \frac{2}{5 x}$
185978	Evaluate	2+3^2-2(3+8)	$2 + 3^{2} - 2 (3 + 8)$
185979	Solve the System of Equations	x-y+z=-1 -2x+y+z=7 2x+4y-2z=-4	$x - y + z = - 1$ $- 2 x + y + z = 7$ $2 x + 4 y - 2 z = - 4$
185980	Solve the System of Inequalities	-6.5<=(7x+6)/2<=20.5	$- 6.5 \leq \frac{7 x + 6}{2} \leq 20.5$
185981	Solve for x	3=-2\|1/4x-5\|+3	$3 = - 2 \| \frac{1}{4} x - 5 \| + 3$
185982	Evaluate the Function	f(e)=e^x	$f (e) = e^{x}$
185983	Solve for x	8^(3x+4)<8^x	$8^{3 x + 4} < 8^{x}$
185984	Evaluate	2^3-(( square root of 4)(6/3-1))	$2^{3} - ((\sqrt{4}) (\frac{6}{3} - 1))$
185985	Find the Roots (Zeros)	f(x)=x(x-3)^2	$f (x) = x {(x - 3)}^{2}$
185986	Solve for b	b/a=c+3b	$\frac{b}{a} = c + 3 b$
185987	Solve for y	y^2+a^2=(a+y)^2-a(a+1)	$y^{2} + a^{2} = {(a + y)}^{2} - a (a + 1)$
185988	Evaluate	3/8+1/8+2/3-1/2	$\frac{3}{8} + \frac{1}{8} + \frac{2}{3} - \frac{1}{2}$
185989	Graph	x^2-y^2 = square root of 2	$x^{2} - y^{2} = \sqrt{2}$
185990	Solve for w	3w+2=7w	$3 w + 2 = 7 w$
185991	Find the Holes in the Graph	f(x)=x/(-2x^2+4x)	$f (x) = \frac{x}{- 2 x^{2} + 4 x}$
185992	Divide	(2x)÷(x^2)	$2 x \div x^{2}$
185993	Solve for x	3x-2(1+x)+2=x	$3 x - 2 (1 + x) + 2 = x$
185994	Solve the Inequality for x	\|4-4x\|<=1	$\| 4 - 4 x \| \leq 1$
185995	Find the Exact Value	-3f(-8)+7g(2)	$- 3 \cdot f (- 8) + 7 \cdot g (2)$
185996	Find the Distance Between Two Points	(0,-2) and (5,3)	$(0, - 2)$ and $(5, 3)$
185997	Evaluate	8-1-(18-2)÷8	$8 - 1 - (18 - 2) \div 8$
185998	Solve the Inequality for x	5(x-4)<2(3x-1)	$5 (x - 4) < 2 (3 x - 1)$
185999	Find the Exact Value	2cos(105 degrees )^2-1	$2 \cos^{2} (105 °) - 1$
186000	Solve for n	-41=-2/5(45n+60)+n	$- 41 = - \frac{2}{5} (45 n + 60) + n$