Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177901	Solve for y	3/x-5/y=1/4	$\frac{3}{x} - \frac{5}{y} = \frac{1}{4}$
177902	Find the Exact Value	sin(585 degrees )	$\sin (585 °)$
177903	Find the Domain and Range	f(x) = cube root of x-2+7	$f (x) = \sqrt[3]{x - 2} + 7$
177904	Find the Roots (Zeros)	x-1	$x - 1$
177905	Solve for x	3^x = square root of 3	$3^{x} = \sqrt{3}$
177906	Solve the System of Inequalities	-9x+5<=17 ; OR , 13x+25<=-1	$- 9 x + 5 \leq 17$ ; OR , $13 x + 25 \leq - 1$
177907	Rationalize the Denominator	2/(1- square root of 3)	$\frac{2}{1 - \sqrt{3}}$
177908	Solve for t	(t+5)/8-(t-2)/2=1/3	$\frac{t + 5}{8} - \frac{t - 2}{2} = \frac{1}{3}$
177909	Simplify	square root of 9x^-4y^6	$\sqrt{9 x^{- 4} y^{6}}$
177910	Find the Domain and Range	y=(2x-1)/(x+4)	$y = \frac{2 x - 1}{x + 4}$
177911	Simplify	(5+i)/(-3+2i)	$\frac{5 + i}{- 3 + 2 i}$
177912	Simplify	2x+3y^2-2(x-y^2)	$2 x + 3 y^{2} - 2 (x - y^{2})$
177913	Find the LCM	15 and 9	$15$ and $9$
177914	Solve for x	2-5/(x+4)=x	$2 - \frac{5}{x + 4} = x$
177915	Evaluate	3 natural log of e^4- natural log of e^8	$3 \ln (e^{4}) - \ln (e^{8})$
177916	Simplify	f(x) = fourth root of fifth root of square root of x^17	$f (x) = \sqrt[4]{\sqrt[5]{\sqrt[2]{x^{17}}}}$
177917	Simplify	square root of 3( square root of 7- square root of 175)	$\sqrt{3} (\sqrt{7} - \sqrt{175})$
177918	Factor	16x^8y^4-81z^4	$16 x^{8} y^{4} - 81 z^{4}$
177919	Subtract	1/2-6	$\frac{1}{2} - 6$
177920	Graph	-4x+7=2y-3	$- 4 x + 7 = 2 y - 3$
177921	Solve the System of Equations	-5x+3y=51 y=10x-8	$- 5 x + 3 y = 51$ $y = 10 x - 8$
177922	Find the Midpoint	(-6,4) and (-1,-6)	$(- 6, 4)$ and $(- 1, - 6)$
177923	Find the x and y Intercepts	f(x)=2(2x-3)(5x+5)	$f (x) = 2 (2 x - 3) (5 x + 5)$
177924	Graph	y-10=1/3(x+7)	$y - 10 = \frac{1}{3} (x + 7)$
177925	Solve for x	1/(x+1)-1/(x+2)=1/5	$\frac{1}{x + 1} - \frac{1}{x + 2} = \frac{1}{5}$
177926	Solve for x	2x=x^2+2	$2 x = x^{2} + 2$
177927	Solve for m	1/3m=12-m	$\frac{1}{3} m = 12 - m$
177928	Solve for m	3/8m-2(1/4m+3)=1/4m	$\frac{3}{8} m - 2 (\frac{1}{4} m + 3) = \frac{1}{4} m$
177929	Write in Standard Form	-19-7x+x^2=-5	$- 19 - 7 x + x^{2} = - 5$
177930	Solve the System of Equations	f(x)=x^2-2x+3 , f(x)=-2x+28	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 2 x + 28$
177931	Graph	te amo	$t e$ amo
177932	Evaluate	log base 4 of x+6+ log base 4 of x+3=1	$\log_{4} (x + 6) + \log_{4} (x + 3) = 1$
177933	Solve the Inequality for x	x+3>8	$x + 3 > 8$
177934	Find the Midpoint	(8,10) and (1,4)	$(8, 10)$ and $(1, 4)$
177935	Subtract	2 1/12-1 5/12	$2 \frac{1}{12} - 1 \frac{5}{12}$
177936	Solve for k	2/3(1/2k-9)=3/2(4+2k)	$\frac{2}{3} (\frac{1}{2} k - 9) = \frac{3}{2} (4 + 2 k)$
177937	Evaluate the Function	f(3)=5	$f (3) = 5$
177938	Solve by Substitution	y=-4x y=x+5	$y = - 4 x$ $y = x + 5$
177939	Find the Holes in the Graph	f(x)=(x^2-81)/(x-8)	$f (x) = \frac{x^{2} - 81}{x - 8}$
177940	Solve for m	2^(-m)=2^(3m-3)	$2^{- m} = 2^{3 m - 3}$
177941	Find the Domain and Range	x/(x^2-4)	$\frac{x}{x^{2} - 4}$
177942	Solve the System of Equations	k=-4j-7 and k=j^2-3	$k = - 4 j - 7$ and $k = j^{2} - 3$
177943	Solve the System of Equations	y=8x y=2x	$y = 8 x$ $y = 2 x$
177944	Solve Using the Square Root Property	(6d+1)^2+12=13	${(6 d + 1)}^{2} + 12 = 13$
177945	Solve the Inequality for x	x<=15-2x^2	$x \leq 15 - 2 x^{2}$
177946	Subtract	(15x^2+11y^2+8x)-(7x^2+5y^2+2x)	$(15 x^{2} + 11 y^{2} + 8 x) - (7 x^{2} + 5 y^{2} + 2 x)$
177947	Evaluate	-4(3d-2)-7	$- 4 (3 d - 2) - 7$
177948	Solve for x	1/x-1/r=1/s-1/x	$\frac{1}{x} - \frac{1}{r} = \frac{1}{s} - \frac{1}{x}$
177949	Simplify	1/4(1-2/3)^2+1/3	$\frac{1}{4} {(1 - \frac{2}{3})}^{2} + \frac{1}{3}$
177950	Simplify	square root of 7(2 square root of 5- square root of 125)	$\sqrt{7} (2 \sqrt{5} - \sqrt{125})$
177951	Solve for x	1-(3x)/(x-8)=x	$1 - \frac{3 x}{x - 8} = x$
177952	Simplify	( fourth root of x)^-1	${(\sqrt[4]{x})}^{- 1}$
177953	Expand the Logarithmic Expression	natural log of square root of r^8s^5	$\ln (\sqrt{r^{8} s^{5}})$
177954	Solve the System of Equations	y=2x+48 y=8x	$y = 2 x + 48$ $y = 8 x$
177955	Find the Inverse	f^-1(x)=(x^3)/2	$f^{- 1} (x) = \frac{x^{3}}{2}$
177956	Solve for x	1=(x^2+3x-16)/(x^2-6x+8)	$1 = \frac{x^{2} + 3 x - 16}{x^{2} - 6 x + 8}$
177957	Solve for c	7c+5=9(c-3)	$7 c + 5 = 9 (c - 3)$
177958	Solve for m	2/5m-3=-3/2(2-m)+2/5	$\frac{2}{5} m - 3 = - \frac{3}{2} (2 - m) + \frac{2}{5}$
177959	Write as a Single Logarithm	log base b of 7- log base b of 7	$\log_{b} (7) - \log_{b} (7)$
177960	Evaluate	(8!)/(2!2!2!)	$\frac{8!}{2! 2! 2!}$
177961	Write in Exponential Form	( cube root of x)^4	${(\sqrt[3]{x})}^{4}$
177962	Solve the Inequality for b	-4\|6b-8\|<=12	$- 4 \| 6 b - 8 \| \leq 12$
177963	Graph Using a Table of Values	f(x) = square root of x-2	$f (x) = \sqrt{x} - 2$
177964	Simplify	(9^(1/4))^(7/2)	${(9^{\frac{1}{4}})}^{\frac{7}{2}}$
177965	Simplify	(r^2+3r+2)/(r+2)*(r-9)/(r+1)	$\frac{r^{2} + 3 r + 2}{r + 2} \cdot \frac{r - 9}{r + 1}$
177966	Simplify	natural log of 1/e	$\ln (\frac{1}{e})$
177967	Find the Midpoint	(9,9) and (1,-1)	$(9, 9)$ and $(1, - 1)$
177968	Expand the Logarithmic Expression	log of (z cube root of x)/(y^3)	$\log (\frac{z \sqrt[3]{x}}{y^{3}})$
177969	Write in Standard Form	y=(x-1)^2	$y = {(x - 1)}^{2}$
177970	Solve for x	a(x+b)-c=d	$a (x + b) - c = d$
177971	Evaluate Using the Given Value	c-2 when c=7	$c - 2$ when $c = 7$
177972	Simplify	(v^-1)^(1/9)	${(v^{- 1})}^{\frac{1}{9}}$
177973	Write in Standard Form	x^2-49=0	$x^{2} - 49 = 0$
177974	Solve for x	(4x+1)/(x+1)-3=12/(x^2-1)	$\frac{4 x + 1}{x + 1} - 3 = \frac{12}{x^{2} - 1}$
177975	Solve for p	p-1/4=3/8+1/2p	$p - \frac{1}{4} = \frac{3}{8} + \frac{1}{2} p$
177976	Factor	y=x^2-5x-14	$y = x^{2} - 5 x - 14$
177977	Solve the Inequality for x	(x+4)^2(x-6)>0	${(x + 4)}^{2} (x - 6) > 0$
177978	Find the Axis of Symmetry	x^2-6x-2y+9=0	$x^{2} - 6 x - 2 y + 9 = 0$
177979	Solve for x	1+(2x)/(x+2)=8/(x^2+2x)	$1 + \frac{2 x}{x + 2} = \frac{8}{x^{2} + 2 x}$
177980	Solve the System of Equations	f(x)=x^2-2x+3 , f(x)=-5x+1	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 5 x + 1$
177981	Factor	(a-b)(x^2-5)+(b-a)(3x+5)	$(a - b) (x^{2} - 5) + (b - a) (3 x + 5)$
177982	Factor	x^4-16=0	$x^{4} - 16 = 0$
177983	Solve for x	2(x-3)=(x-1)+7	$2 (x - 3) = (x - 1) + 7$
177984	Solve for b	e^b=50	$e^{b} = 50$
177985	Evaluate	7/9+1/2(5/6)^2	$\frac{7}{9} + \frac{1}{2} {(\frac{5}{6})}^{2}$
177986	Solve for p	9\|9-2p\|=81	$9 \| 9 - 2 p \| = 81$
177987	Evaluate	30% of 60	$30 %$ of $60$
177988	Graph	1/2 cube root of x	$\frac{1}{2} \sqrt[3]{x}$
177989	Evaluate	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
177990	Solve for x₂	d = square root of (x_2-x_1)^2+(y_2-y_1)^2	$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
177991	Simplify	(4a)^-3*a^-4	${(4 a)}^{- 3} \cdot a^{- 4}$
177992	Solve the Inequality for x	1/2(8x+1)>=3x+5/2	$\frac{1}{2} (8 x + 1) \geq 3 x + \frac{5}{2}$
177993	Simplify	3/(y+5)+y/(y^2+7y+10)	$\frac{3}{y + 5} + \frac{y}{y^{2} + 7 y + 10}$
177994	Find g(f(x))	f(x)=(x-5)/2 g(x)=2x+5	$f (x) = \frac{x - 5}{2}$ $g (x) = 2 x + 5$
177995	Find the Exact Value	2/3+1/2	$\frac{2}{3} + \frac{1}{2}$
177996	Solve for x	-1/x+1/5=8/x	$\frac{- 1}{x} + \frac{1}{5} = \frac{8}{x}$
177997	Solve for x	4(1-x)+3x=-2x-2	$4 (1 - x) + 3 x = - 2 x - 2$
177998	Simplify	(g^3*g^-2)^4	${(g^{3} \cdot g^{- 2})}^{4}$
177999	Graph	y=3/2sin(x-(2pi)/3)	$y = \frac{3}{2} \sin (x - \frac{2 π}{3})$
178000	Solve for w	9w^2=30w-25	$9 w^{2} = 30 w - 25$