Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174001	Simplify	(2x+4)/(2/(x^2)+1/x)	$\frac{2 x + 4}{\frac{2}{x^{2}} + \frac{1}{x}}$
174002	Solve for x	7=-x^2-4x	$7 = - x^{2} - 4 x$
174003	Factor	x^4-4x+3	$x^{4} - 4 x + 3$
174004	Graph	y=1/2sin(x-pi/2)	$y = \frac{1}{2} \sin (x - \frac{π}{2})$
174005	Divide Using Long Polynomial Division	(11x-20x^2+12x^3-14)/(x-2)	$\frac{11 x - 20 x^{2} + 12 x^{3} - 14}{x - 2}$
174006	Solve for x	-3/(x-3)=1-2/(x+7)	$\frac{- 3}{x - 3} = 1 - \frac{2}{x + 7}$
174007	Graph	-2.4(x-6)>=52.8	$- 2.4 (x - 6) \geq 52.8$
174008	Solve the System of Inequalities	-1-10a<-1 or 10+3a<=-5	$- 1 - 10 a < - 1$ or $10 + 3 a \leq - 5$
174009	Solve the Inequality for c	(2c)/3+1>7	$\frac{2 c}{3} + 1 > 7$
174010	Solve for k	k = square root of 10+3k-4	$k = \sqrt{10 + 3 k} - 4$
174011	Solve the System of Inequalities	y<=3x+1 x-y>1	$y \leq 3 x + 1$ $x - y > 1$
174012	Graph	f(x)=asin(x)	$f (x) = a \sin (x)$
174013	Solve the Inequality for x	x-2>0	$x - 2 > 0$
174014	Solve for n	n^2-6n=0	$n^{2} - 6 n = 0$
174015	Find the Exact Value	sin(pi/2)^2	$\sin^{2} (\frac{π}{2})$
174016	Solve for j	(h-4)/j=k for j	$\frac{h - 4}{j} = k$ for $j$
174017	Evaluate	f(2)=3^2	$f (2) = 3^{2}$
174018	Solve for θ	2sin(theta)^2- square root of 3sin(theta)=0	$2 \sin^{2} (θ) - \sqrt{3} \sin (θ) = 0$
174019	Solve for a	-a/6+5=2	$- \frac{a}{6} + 5 = 2$
174020	Solve the Inequality for t	2t+8>=-4(t+1)	$2 t + 8 \geq - 4 (t + 1)$
174021	Find the Product	(x+2y)^3	${(x + 2 y)}^{3}$
174022	Simplify	(5+5/(x-1))/(5/(x-1))	$\frac{5 + \frac{5}{x - 1}}{\frac{5}{x - 1}}$
174023	Graph	x+2y>=-12 y<6x+7	$x + 2 y \geq - 12$ $y < 6 x + 7$
174024	Solve for x	-1/2(x+2)+1 1/2x=3	$- \frac{1}{2} (x + 2) + 1 \frac{1}{2} x = 3$
174025	Solve the Inequality for x	3(x+2)>5x-4	$3 (x + 2) > 5 x - 4$
174026	Solve by Substitution	9y=x -4x+y=-35	$9 y = x$ $- 4 x + y = - 35$
174027	Solve for y	y=(1/2)^0	$y = {(\frac{1}{2})}^{0}$
174028	Simplify	(-3x)/4+(x+1)/(x^2-1)	$\frac{- 3 x}{4} + \frac{x + 1}{x^{2} - 1}$
174029	Evaluate	4/3pi10^3	$\frac{4}{3} \cdot π \cdot 10^{3}$
174030	Multiply	(x^2-16)/(2x+8)*(x^3-2x^2+x)/(x^2+3x-4)	$\frac{x^{2} - 16}{2 x + 8} \cdot \frac{x^{3} - 2 x^{2} + x}{x^{2} + 3 x - 4}$
174031	Write in Slope-Intercept Form	y=-2	$y = - 2$
174032	Solve Using the Quadratic Formula	4q(q+2)+10=0	$4 q (q + 2) + 10 = 0$
174033	Expand the Logarithmic Expression	natural log of 1/(x^2)	$\ln (\frac{1}{x^{2}})$
174034	Solve for x	2/(3x)-5/x=7/10-3/(2x)+1	$\frac{2}{3 x} - \frac{5}{x} = \frac{7}{10} - \frac{3}{2 x} + 1$
174035	Solve for x	m=10x-x for x	$m = 10 x - x$ for $x$
174036	Solve the System of Inequalities	-33>5x+2 or 5x+2<=-8	$- 33 > 5 x + 2$ or $5 x + 2 \leq - 8$
174037	Solve the Inequality for x	10(3x+2)>7(2x-4)	$10 (3 x + 2) > 7 (2 x - 4)$
174038	Evaluate	((b^7)/(4^5))^-3	${(\frac{b^{7}}{4^{5}})}^{- 3}$
174039	Solve the Inequality for n	4<1+n/7	$4 < 1 + \frac{n}{7}$
174040	Simplify	(9^(1/2))^3	${(9^{\frac{1}{2}})}^{3}$
174041	Solve for x	x^2-1>=1	$x^{2} - 1 \geq 1$
174042	Solve for x	5/(x^2-x)-1/x=1/(x^2-x)	$\frac{5}{x^{2} - x} - \frac{1}{x} = \frac{1}{x^{2} - x}$
174043	Solve the Rational Equation for x	(x+6)/(x-4)=1/(x+1)	$\frac{x + 6}{x - 4} = \frac{1}{x + 1}$
174044	Find the Product	(3a^3+8b^4)^2	${(3 a^{3} + 8 b^{4})}^{2}$
174045	Describe the Transformation	f(x+3)	$f (x + 3)$
174046	Solve for p	4 1/5=3p	$4 \frac{1}{5} = 3 p$
174047	Factor	P(x)=x^3-6x^2+12x-8	$P (x) = x^{3} - 6 x^{2} + 12 x - 8$
174048	Graph	x^2=y+2	$x^{2} = y + 2$
174049	Evaluate the Function	f(x)=x^2+5x at x=4	$f (x) = x^{2} + 5 x$ at $x = 4$
174050	Find the Distance Between Two Points	(13,2) and (7,10)	$(13, 2)$ and $(7, 10)$
174051	Find the x and y Intercepts	(x+2)(x+3)=y	$(x + 2) (x + 3) = y$
174052	Find the Domain and Range	y = square root of 1/(x-2)	$y = \sqrt{\frac{1}{x - 2}}$
174053	Solve the Inequality for n	20n+100<=320	$20 n + 100 \leq 320$
174054	Evaluate	(1+0.06/12)	$(1 + \frac{0.06}{12})$
174055	Solve the Inequality for n	6(n+2)<-72	$6 (n + 2) < - 72$
174056	Factor	10-10x^10+10	$10 - 10 x^{10} + 10$
174057	Solve for x	(8x)^(1/2)=x	${(8 x)}^{\frac{1}{2}} = x$
174058	Solve the Inequality for x	(x-8)(x+9)(7x+9)<0	$(x - 8) (x + 9) (7 x + 9) < 0$
174059	Evaluate	((z^4)/(6^2))^-3	${(\frac{z^{4}}{6^{2}})}^{- 3}$
174060	Solve Using the Quadratic Formula	5(x+3)-5(x^2-1)=x^2+7(3-x)-1	$5 (x + 3) - 5 (x^{2} - 1) = x^{2} + 7 (3 - x) - 1$
174061	Simplify	(-b+- square root of b^2-4ac)/(2a)	$\frac{- b + - \sqrt{b^{2} - 4 a c}}{2 a}$
174062	Graph Using a Table of Values	f(x)=2*3^x	$f (x) = 2 \cdot 3^{x}$
174063	Find the Holes in the Graph	f(x)=(x^3-x^2-6x)/(-3x^2-3x+18)	$f (x) = \frac{x^{3} - x^{2} - 6 x}{- 3 x^{2} - 3 x + 18}$
174064	Solve for x	-2(x+1/3)+9x=4	$- 2 (x + \frac{1}{3}) + 9 x = 4$
174065	Solve for x	( square root of x-6-11)(4-5 square root of x-1)=0	$(\sqrt{x - 6} - 11) (4 - 5 \sqrt{x - 1}) = 0$
174066	Solve for x	13+6+2x-18=4x-29	$13 + 6 + 2 x - 18 = 4 x - 29$
174067	Write in Slope-Intercept Form	(1,3) and (-3,-5)	$(1, 3)$ and $(- 3, - 5)$
174068	Solve the Inequality for x	2x-1>x+2	$2 x - 1 > x + 2$
174069	Solve for a	4a-3+2a=7a-2	$4 a - 3 + 2 a = 7 a - 2$
174070	Solve the Absolute Value Inequality for x	\|5x-9\|=4x	$\| 5 x - 9 \| = 4 x$
174071	Solve for a	a^3-4a^2+4a=0	$a^{3} - 4 a^{2} + 4 a = 0$
174072	Solve for x	(rx+sx)/t=1	$\frac{r x + s x}{t} = 1$
174073	Solve for x	(x^2+14x)^(1/5)=2	${(x^{2} + 14 x)}^{\frac{1}{5}} = 2$
174074	Evaluate	f(1)=2^1	$f (1) = 2^{1}$
174075	Find the Holes in the Graph	f(x)=(x+10)/(2x^2+38x+180)	$f (x) = \frac{x + 10}{2 x^{2} + 38 x + 180}$
174076	Solve for y	2(3y-4)=3(y-2/3)	$2 (3 y - 4) = 3 (y - \frac{2}{3})$
174077	Evaluate	2^(0-1)	$2^{0 - 1}$
174078	Find the Domain and Range	y=2-x	$y = 2 - x$
174079	Graph	y=x/(2x+4)	$y = \frac{x}{2 x + 4}$
174080	Find the Midpoint	(-5,-1) and (1,9)	$(- 5, - 1)$ and $(1, 9)$
174081	Write in Standard Form	x+18+2x^2=-5x+3	$x + 18 + 2 x^{2} = - 5 x + 3$
174082	Multiply	(ax+2by)^2	${(a x + 2 b y)}^{2}$
174083	Simplify	(20a^-5w^-8)/(-5(a^-5w^-1)^-4)	$\frac{20 a^{- 5} w^{- 8}}{- 5 {(a^{- 5} w^{- 1})}^{- 4}}$
174084	Find the Discriminant	6x^2+21x=5x^2+7x	$6 x^{2} + 21 x = 5 x^{2} + 7 x$
174085	Solve for f	D=1/5fk for f	$D = \frac{1}{5} f k$ for $f$
174086	Solve for V₂	V_1/T_1=V_2/T_2	$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$
174087	Solve the Inequality for x	-2(3x-4)-(x+2)>=-15	$- 2 (3 x - 4) - (x + 2) \geq - 15$
174088	Solve the Inequality for v	4/5v<7/15	$\frac{4}{5} v < \frac{7}{15}$
174089	Write in Standard Form	7x+8+2x^2=2x+1+x^2	$7 x + 8 + 2 x^{2} = 2 x + 1 + x^{2}$
174090	Simplify	(-7z^2+3z^4+7)+(-5z-9z^4)	$(- 7 z^{2} + 3 z^{4} + 7) + (- 5 z - 9 z^{4})$
174091	Multiply	x^(1/2)*x^(1/2)	$x^{\frac{1}{2}} \cdot x^{\frac{1}{2}}$
174092	Solve the Inequality for x	3(x-5)<2(2x-1)	$3 (x - 5) < 2 (2 x - 1)$
174093	Solve for x	(x-2)/(x^2-4)+1/(x+2)=1/(x-2)	$\frac{x - 2}{x^{2} - 4} + \frac{1}{x + 2} = \frac{1}{x - 2}$
174094	Find the Equation Using Two Points	(-5,2) and (-5,-1)	$(- 5, 2)$ and $(- 5, - 1)$
174095	Solve for y	\|y-15\|<23	$\| y - 15 \| < 23$
174096	Solve for s	48s-46s+3s-2s+9=42	$48 s - 46 s + 3 s - 2 s + 9 = 42$
174097	Solve the Inequality for x	x^2<=6x-7	$x^{2} \leq 6 x - 7$
174098	Graph	y<-2x-2 y>=1/2x+3	$y < - 2 x - 2$ $y \geq \frac{1}{2} x + 3$
174099	Simplify	6r*5r^2	$6 r \cdot 5 r^{2}$
174100	Find the Equation Using Point-Slope Formula	(0,3) , slope=-2	$(0, 3)$ , $s l o p e = - 2$