Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187801	Solve for x	(x-2)^2=-3x+6	${(x - 2)}^{2} = - 3 x + 6$
187802	Solve for x	2+7/x=2/5	$2 + \frac{7}{x} = \frac{2}{5}$
187803	Solve the Inequality for h	1/2h+2>=1/2(h+8)	$\frac{1}{2} h + 2 \geq \frac{1}{2} (h + 8)$
187804	Factor	R(x)=(x^2)/(x^2+x-12)	$R (x) = \frac{x^{2}}{x^{2} + x - 12}$
187805	Evaluate	(x^(1/4)y^16)^(1/2)	${(x^{\frac{1}{4}} y^{16})}^{\frac{1}{2}}$
187806	Solve for x	3^(2x-1)*3^4=3	$3^{2 x - 1} \cdot 3^{4} = 3$
187807	Find the Holes in the Graph	f(x)=(x^2-x-6)/(x+2)	$f (x) = \frac{x^{2} - x - 6}{x + 2}$
187808	Solve the Inequality for x	(3(x-3))/6>=0	$\frac{3 (x - 3)}{6} \geq 0$
187809	Simplify	7 square root of 2x^4-x^2 square root of 18	$7 \sqrt{2 x^{4}} - x^{2} \sqrt{18}$
187810	Simplify	((x^2-2x-8)/(x^2-2x-15))÷((2x^2-8x)/(2x^2-10x))	$\frac{x^{2} - 2 x - 8}{x^{2} - 2 x - 15} \div \frac{2 x^{2} - 8 x}{2 x^{2} - 10 x}$
187811	Find the Function	f(x)=3/x	$f (x) = \frac{3}{x}$
187812	Solve for r	s=(a-lr)/(1-r)	$s = \frac{a - l r}{1 - r}$
187813	Solve the Inequality for x	x/2-7/6<4/3	$\frac{x}{2} - \frac{7}{6} < \frac{4}{3}$
187814	Find the Domain and Range	y-8=-2x^2+4x	$y - 8 = - 2 x^{2} + 4 x$
187815	Solve Using the Quadratic Formula	3x^2=-6-8x	$3 x^{2} = - 6 - 8 x$
187816	Simplify	(1/6a^5)(-3a^2)(4a^7)	$(\frac{1}{6} a^{5}) (- 3 a^{2}) (4 a^{7})$
187817	Find the x and y Intercepts	f(x)=(x^2-x-12)/(5x^2+4x)	$f (x) = \frac{x^{2} - x - 12}{5 x^{2} + 4 x}$
187818	Convert to Interval Notation	x+5>-3 and -2x-5<=1	$x + 5 > - 3$ and $- 2 x - 5 \leq 1$
187819	Simplify	(-4xz-15xy)+(20xy-9yz-16xz)	$(- 4 x z - 15 x y) + (20 x y - 9 y z - 16 x z)$
187820	Solve the System of Inequalities	y>4x-3 y>=-2x+3	$y > 4 x - 3$ $y \geq - 2 x + 3$
187821	Evaluate	(-2^4)	$(- 2^{4})$
187822	Solve for x	(x-7)/5-(x-11)/6+(x-10)/7=2	$\frac{x - 7}{5} - \frac{x - 11}{6} + \frac{x - 10}{7} = 2$
187823	Simplify	(2/x+3/x)/(4/x)	$\frac{\frac{2}{x} + \frac{3}{x}}{\frac{4}{x}}$
187824	Solve for R	K=PRT	$K = P R T$
187825	Find the Exact Value	sin(90 degrees )+tan(45 degrees )	$\sin (90 °) + \tan (45 °)$
187826	Solve for θ	tan(theta) = square root of 2sin(theta)	$\tan (θ) = \sqrt{2} \sin (θ)$
187827	Find the Excluded Values	(p^2-4p-32)/(p+4)	$\frac{p^{2} - 4 p - 32}{p + 4}$
187828	Convert to a Decimal	sin(105)deg	$\sin (105)$ degrees
187829	Simplify	(t^2-2t-3)/(t^2-1)*(3t-3)/(t^2-4t+3)	$\frac{t^{2} - 2 t - 3}{t^{2} - 1} \cdot \frac{3 t - 3}{t^{2} - 4 t + 3}$
187830	Simplify	-4^-1	$- 4^{- 1}$
187831	Divide	(-2x^2)÷x	$- 2 x^{2} \div x$
187832	Simplify	(27-3x^2)/(7x^2-63)	$\frac{27 - 3 x^{2}}{7 x^{2} - 63}$
187833	Simplify	10*6 square root of 80	$10 \cdot 6 \sqrt{80}$
187834	Graph	h(x)=p(x)-6	$h (x) = p (x) - 6$
187835	Simplify	(c^2-4)/(c+3)*(3(c^2-9))/(c+2)	$\frac{c^{2} - 4}{c + 3} \cdot \frac{3 (c^{2} - 9)}{c + 2}$
187836	Evaluate	2.85-6.2÷(2^2)	$2.85 - 6.2 \div 2^{2}$
187837	Simplify	(10^4*4^10)/(4^5)	$\frac{10^{4} \cdot 4^{10}}{4^{5}}$
187838	Find the Reciprocal	square root of 9	$\sqrt{9}$
187839	Simplify	(1/x+1/(x^2))/(x/9-1/3)	$\frac{\frac{1}{x} + \frac{1}{x^{2}}}{\frac{x}{9} - \frac{1}{3}}$
187840	Solve for x	-x^6-3x^5+25x^4+75x^3=0	$- x^{6} - 3 x^{5} + 25 x^{4} + 75 x^{3} = 0$
187841	Simplify the Radical Expression	fourth root of -256	$\sqrt[4]{- 256}$
187842	Simplify	(1/x-2/(x^2))/((x^2)/2-2)	$\frac{\frac{1}{x} - \frac{2}{x^{2}}}{\frac{x^{2}}{2} - 2}$
187843	Simplify	( square root of 3)/( square root of 50)	$\frac{\sqrt{3}}{\sqrt{50}}$
187844	Simplify	-3a+4b-6a+81b-114b+31a-a-b	$- 3 a + 4 b - 6 a + 81 b - 114 b + 31 a - a - b$
187845	Solve for x	5/(x-4)+x/(x-6)=(2x)/(x^2-10x+24)	$\frac{5}{x - 4} + \frac{x}{x - 6} = \frac{2 x}{x^{2} - 10 x + 24}$
187846	Write in Standard Form	x^2-7x+12+(x-3)^2	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$
187847	Write in Slope-Intercept Form	(-8,8) and (1,-10)	$(- 8, 8)$ and $(1, - 10)$
187848	Simplify	3x(x-7)(x-1)^2	$3 x (x - 7) {(x - 1)}^{2}$
187849	Simplify	(x+y)(x-y)(x^2+y^2)	$(x + y) (x - y) (x^{2} + y^{2})$
187850	Solve Using the Quadratic Formula	-x^2+2x=1	$- x^{2} + 2 x = 1$
187851	Find the Domain and Range	arcsec(x)	$arcsec (x)$
187852	Solve the Inequality for d	\|d+9\|>3	$\| d + 9 \| > 3$
187853	Determine if Perpendicular	4x+9y=18 y=4x+9	$4 x + 9 y = 18$ $y = 4 x + 9$
187854	Find the Distance Between Two Points	(2,-3) and (0,-8)	$(2, - 3)$ and $(0, - 8)$
187855	Factor	12x^4yz^2-8x^3y^3z^2	$12 x^{4} y z^{2} - 8 x^{3} y^{3} z^{2}$
187856	Evaluate	3^-6*((3^4)÷(3^0))^2	$3^{- 6} \times {(3^{4} \div 3^{0})}^{2}$
187857	Find the x and y Intercepts	f(x)=((x+3)(6-x))/((x-2)(x+3))	$f (x) = \frac{(x + 3) (6 - x)}{(x - 2) (x + 3)}$
187858	Simplify	(4x^3-3x^2+7x-2)+(x^3+7x^2-4x+5)	$(4 x^{3} - 3 x^{2} + 7 x - 2) + (x^{3} + 7 x^{2} - 4 x + 5)$
187859	Solve for x	4x^2+5bx=-b^2	$4 x^{2} + 5 b x = - b^{2}$
187860	Graph	g(x)=2f(x)+1	$g (x) = 2 f (x) + 1$
187861	Simplify	(ab^8c)(a^-17c^10)	$(a b^{8} c) (a^{- 17} c^{10})$
187862	Graph	f(x)=(x^2+x-2)/(2x^2-2)	$f (x) = \frac{x^{2} + x - 2}{2 x^{2} - 2}$
187863	Graph	f(x)=-x^2+8 if x<1; 2x if x>1	$f (x) = {\begin{cases} - x^{2} + 8 & x < 1 \\ 2 x & x > 1 \end{cases}$
187864	Simplify	10 square root of 63x^4+x^2 square root of 7	$10 \sqrt{63 x^{4}} + x^{2} \sqrt{7}$
187865	Find the Exact Value	-2/3a+5/6a-1/6	$- \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6}$
187866	Graph Using a Table of Values	f(x)=x^2-2x	$f (x) = x^{2} - 2 x$
187867	Solve for x	log base a of a=x	$\log_{a} (a) = x$
187868	Solve for z	x=y-z	$x = y - z$
187869	Write in Slope-Intercept Form	(2,-2) and (4,1)	$(2, - 2)$ and $(4, 1)$
187870	Simplify	5((x+8)/5-8)	$5 (\frac{x + 8}{5} - 8)$
187871	Find f(g(x))	f(x)=3x+1 , g(x)=5-x^2	$f (x) = 3 x + 1$ , $g (x) = 5 - x^{2}$
187872	Solve the Absolute Value Inequality for x	1/4\|x-3\|+2<1	$\frac{1}{4} \| x - 3 \| + 2 < 1$
187873	Solve for b	c=b/(a-b)	$c = \frac{b}{a - b}$
187874	Solve for x	log base x-1 of 6x-14=2	$\log_{x - 1} (6 x - 14) = 2$
187875	Divide	3 3/8÷2 1/4	$3 \frac{3}{8} \div 2 \frac{1}{4}$
187876	Convert to a Simplified Fraction	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
187877	Solve for x	(5-x)^(1/2)-1=x	${(5 - x)}^{\frac{1}{2}} - 1 = x$
187878	Graph	y^2=20(x+1)	$y^{2} = 20 (x + 1)$
187879	Simplify	(20 square root of z^6)÷( square root of 16z^7)	$20 \sqrt{z^{6}} \div \sqrt{16 z^{7}}$
187880	Solve for n	(3^3)/(3^n)=3	$\frac{3^{3}}{3^{n}} = 3$
187881	Find the Domain and Range	f(x)=- square root of 5x+2-1	$f (x) = - \sqrt{5 x + 2} - 1$ ?
187882	Solve the Inequality for x	4x^2-12x+9>0	$4 x^{2} - 12 x + 9 > 0$
187883	Solve for y	9y^2=-30y-25	$9 y^{2} = - 30 y - 25$
187884	Solve for w	9wr=81	$9 w r = 81$
187885	Graph	f(x)=-2 if x<-5; x-4 if x>-1	$f (x) = {\begin{cases} - 2 & x < - 5 \\ x - 4 & x > - 1 \end{cases}$
187886	Solve for x	15-3yi=1/2x+2i	$15 - 3 y i = \frac{1}{2} x + 2 i$
187887	Solve for x	7(x-4)=9(x+1)-(5-2x)	$7 (x - 4) = 9 (x + 1) - (5 - 2 x)$
187888	Graph	square root of x<2	$\sqrt{x} < 2$
187889	Describe the Transformation	f(x)=-1/(x-4)+3	$f (x) = \frac{- 1}{x - 4} + 3$
187890	Multiply	-1*2/3	$- 1 \cdot \frac{2}{3}$
187891	Graph	f(x)=x^9+12x^8+x^7	$f (x) = x^{9} + 12 x^{8} + x^{7}$
187892	Graph	x^2+y^2=1/4	$x^{2} + y^{2} = \frac{1}{4}$
187893	Solve the Inequality for x	\|7-2x\|>11	$\| 7 - 2 x \| > 11$
187894	Solve the Inequality for x	6<=x+6<=11	$6 \leq x + 6 \leq 11$
187895	Find the Exact Value	sin(135 degrees -60 degrees )	$\sin (135 ° - 60 °)$
187896	Simplify	square root of 810+ square root of 240- square root of 250	$\sqrt{810} + \sqrt{240} - \sqrt{250}$
187897	Find the Domain and Range	y=(x-4)/(x^2-16)	$y = \frac{x - 4}{x^{2} - 16}$
187898	Solve the Inequality for x	x^2-4x<=12	$x^{2} - 4 x \leq 12$
187899	Write as a Single Logarithm	4( natural log of z+ natural log of z+5)-2 natural log of z-5	$4 (\ln (z) + \ln (z + 5)) - 2 \ln (z - 5)$
187900	Solve for x	(6x+4)/4=6x+2	$\frac{6 x + 4}{4} = 6 x + 2$