Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
162701	Solve the Inequality for x	-6(x+1)<2(x+5)	$- 6 (x + 1) < 2 (x + 5)$
162702	Convert to Interval Notation	{x\|x>5}	${x \| x > 5}$
162703	Simplify	-8^0	$- 8^{0}$
162704	Solve the System of Equations	10x-9y=24 y=x-2	$10 x - 9 y = 24$ $y = x - 2$
162705	Solve for x	6-5x+2x=8-4x	$6 - 5 x + 2 x = 8 - 4 x$
162706	Solve the System of Equations	x+y=7 x-y=1	$x + y = 7$ $x - y = 1$
162707	Simplify	x-5/5+10	$x - \frac{5}{5} + 10$
162708	Solve the Inequality for r	-4r+4>=3r-4	$- 4 r + 4 \geq 3 r - 4$
162709	Graph	f(x)=(x^2-3x)/(x^2-9)	$f (x) = \frac{x^{2} - 3 x}{x^{2} - 9}$
162710	Evaluate	3/2(6)-3+5/3(3)	$\frac{3}{2} (6) - 3 + \frac{5}{3} (3)$
162711	Find the Holes in the Graph	f(x)=(x^2+5x+4)/(x+1)	$f (x) = \frac{x^{2} + 5 x + 4}{x + 1}$
162712	Write in Standard Form	1/10-x^4-10x	$\frac{1}{10} - x^{4} - 10 x$
162713	Solve the System of Equations	-4x+11y=15 x=2y	$- 4 x + 11 y = 15$ $x = 2 y$
162714	Convert to Interval Notation	(3x)/(7-x)<x	$\frac{3 x}{7 - x} < x$
162715	Solve for r	4(2r-1)=-2(3r+16)	$4 (2 r - 1) = - 2 (3 r + 16)$
162716	Simplify	-36^(1/2)	$- 36^{\frac{1}{2}}$
162717	Solve for d	r = square root of fd+5G	$r = \sqrt{f d + 5 G}$
162718	Solve the Absolute Value Inequality for u	-3\|2-4u\|+5<-13	$- 3 \| 2 - 4 u \| + 5 < - 13$
162719	Find the Leading Coefficient	x^5-4x^2+9	$x^{5} - 4 x^{2} + 9$
162720	Simplify	sin(theta)^2*csc(theta)	$\sin^{2} (θ) \cdot \csc (θ)$
162721	Simplify	(x^3+5x^2)/(x^2+x-20)	$\frac{x^{3} + 5 x^{2}}{x^{2} + x - 20}$
162722	Simplify	(4/(n-6))÷((4n)/(8n-48))	$\frac{4}{n - 6} \div \frac{4 n}{8 n - 48}$
162723	Write in Standard Form	(x-1)^4	${(x - 1)}^{4}$
162724	Find the Product	(4x+3)^2	${(4 x + 3)}^{2}$
162725	Graph	y+6=3/4(x+4)	$y + 6 = \frac{3}{4} (x + 4)$
162726	Graph	F(x)=1/(x(x-3))	$F (x) = \frac{1}{x (x - 3)}$
162727	Solve the Inequality for w	12+10w>=8(w+12)	$12 + 10 w \geq 8 (w + 12)$
162728	Solve for a	12am=4 ; for a	$12 a m = 4$ ; for $a$
162729	Solve the System of Equations	x+y=5 x-y=3	$x + y = 5$ $x - y = 3$
162730	Solve by Factoring	2x^2-7=-7x-3	$2 x^{2} - 7 = - 7 x - 3$
162731	Solve the Inequality for x	((x+10)(x-12))/(x+8)<=0	$\frac{(x + 10) (x - 12)}{x + 8} \leq 0$
162732	Simplify	4 square root of 2*6 square root of 18	$4 \sqrt{2} \cdot 6 \sqrt{18}$
162733	Simplify	2/(x-9)-2/x	$\frac{2}{x - 9} - \frac{2}{x}$
162734	Solve for x	0=x^2-9	$0 = x^{2} - 9$
162735	Solve for a	u=(ak)/b ; for a	$u = \frac{a k}{b}$ ; for $a$
162736	Solve for c	3-(2c-8)=7	$3 - (2 c - 8) = 7$
162737	Solve for x	square root of x-2 = square root of x-5	$\sqrt{x} - 2 = \sqrt{x - 5}$
162738	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-5x+1=0	$2 x^{2} - 5 x + 1 = 0$
162739	Find the Holes in the Graph	f(x)=(-x-3)/(4x+12)	$f (x) = \frac{- x - 3}{4 x + 12}$
162740	Solve for x	(x+4)^2-2=7	${(x + 4)}^{2} - 2 = 7$
162741	Solve for x	(x+7)^2-23=34	${(x + 7)}^{2} - 23 = 34$
162742	Factor by Grouping	4x^2-16	$4 x^{2} - 16$
162743	Evaluate	(5!)/((5-5)!)	$\frac{5!}{(5 - 5)!}$
162744	Evaluate	-1f(-9)+7g(6)	$- 1 \cdot f (- 9) + 7 \cdot g (6)$
162745	Solve the System of Equations	x-2y=6 5x+4y=16	$x - 2 y = 6$ $5 x + 4 y = 16$
162746	Solve the Inequality for v	v-4<=2v-1	$v - 4 \leq 2 v - 1$
162747	Find the Holes in the Graph	f(x)=(5x-25)/(x^2-10x+25)	$f (x) = \frac{5 x - 25}{x^{2} - 10 x + 25}$
162748	Simplify	1^-1	$1^{- 1}$
162749	Solve for c	8/3=3(c+5/3)	$\frac{8}{3} = 3 (c + \frac{5}{3})$
162750	Simplify	(x^2-y^2)^2	${(x^{2} - y^{2})}^{2}$
162751	Factor	x^2y^4-x^3y	$x^{2} y^{4} - x^{3} y$
162752	Solve the Inequality for x	x^2-10x>0	$x^{2} - 10 x > 0$
162753	Combine Like Terms	-r+8(-5r-2)	$- r + 8 (- 5 r - 2)$
162754	Simplify	((x^2-49)/(x^4+7x^3))÷((x^2-x-42)/(3x))	$\frac{x^{2} - 49}{x^{4} + 7 x^{3}} \div \frac{x^{2} - x - 42}{3 x}$
162755	Solve for θ	sec((5theta)/4)=2	$\sec (\frac{5 θ}{4}) = 2$
162756	Find the Holes in the Graph	(x^2-9)/(x-3)	$\frac{x^{2} - 9}{x - 3}$
162757	Solve for x	(7x+2)^2+6(7x+2)=27	${(7 x + 2)}^{2} + 6 (7 x + 2) = 27$
162758	Solve by Substitution	2x-6y=-24 and x=5y-22	$2 x - 6 y = - 24$ and $x = 5 y - 22$
162759	Find the Exact Value	e^1	$e^{1}$
162760	Solve for x	x^2-9x+19=x-5	$x^{2} - 9 x + 19 = x - 5$
162761	Solve the Inequality for x	x^2-4x-12<0	$x^{2} - 4 x - 12 < 0$
162762	Solve for x	x+(x+5)/(x-5)=(2x)/(x-5)	$x + \frac{x + 5}{x - 5} = \frac{2 x}{x - 5}$
162763	Complete the Square	y=x^2+6x+11	$y = x^{2} + 6 x + 11$
162764	Simplify	5/(2(x+4)^2-6(x+4))	$\frac{5}{2 {(x + 4)}^{2} - 6 (x + 4)}$
162765	Find the Holes in the Graph	f(x)=(-x+2)/(2x+7)	$f (x) = \frac{- x + 2}{2 x + 7}$
162766	Simplify	x^2-7x+12+(x-3)^2	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$
162767	Solve the System of Equations	y=4x+3 y=-x-2	$y = 4 x + 3$ $y = - x - 2$
162768	Solve the Inequality for h	-10h+1>-7h+9	$- 10 h + 1 > - 7 h + 9$
162769	Simplify	c(3c^5+c+b-4)	$c (3 c^{5} + c + b - 4)$
162770	Graph Using a Table of Values	f(x)=3x-5	$f (x) = 3 x - 5$
162771	Solve for u	-5=u+6	$- 5 = u + 6$
162772	Solve Using the Quadratic Formula	4n^2+24n+25=4n	$4 n^{2} + 24 n + 25 = 4 n$
162773	Solve for a	3a-6a+2=8a+20-5a	$3 a - 6 a + 2 = 8 a + 20 - 5 a$
162774	Solve for x	6-x^2=-8	$6 - x^{2} = - 8$
162775	Solve for P	S=B+1/2Pl	$S = B + \frac{1}{2} P l$
162776	Solve for x	1/(x-2)+1/(x^2-7x+10)=6/(x-2)	$\frac{1}{x - 2} + \frac{1}{x^{2} - 7 x + 10} = \frac{6}{x - 2}$
162777	Find the Focus	(y-3)^2+12x=0	${(y - 3)}^{2} + 12 x = 0$
162778	Simplify	(u^6)/((u^3)^2)	$\frac{u^{6}}{{(u^{3})}^{2}}$
162779	Graph	y-3=-2/3(x+6)	$y - 3 = - \frac{2}{3} (x + 6)$
162780	Solve the Inequality for x	3x<-9	$3 x < - 9$
162781	Solve the Inequality for x	(4/6)^x>=36/16	${(\frac{4}{6})}^{x} \geq \frac{36}{16}$
162782	Write in Standard Form	x(x+3)=28	$x (x + 3) = 28$
162783	Find the Holes in the Graph	f(x)=(x^2+6x+9)/(x+3)	$f (x) = \frac{x^{2} + 6 x + 9}{x + 3}$
162784	Simplify	3 square root of 12mn- square root of 12mn+4 square root of 12mn	$3 \sqrt{12 m n} - \sqrt{12 m n} + 4 \sqrt{12 m n}$
162785	Simplify	(7x+5)/(x^2+8x+12)-7/(x+2)	$\frac{7 x + 5}{x^{2} + 8 x + 12} - \frac{7}{x + 2}$
162786	Write in Standard Form	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
162787	Solve by Factoring	x^2+31=-14x-9	$x^{2} + 31 = - 14 x - 9$
162788	Solve for x	1/x<1/(x-3)	$\frac{1}{x} < \frac{1}{x - 3}$
162789	Graph	cube root of x=0	$\sqrt[3]{x} = 0$
162790	Solve the Rational Equation for x	2/(x+1)+5/(2x)=2	$\frac{2}{x + 1} + \frac{5}{2 x} = 2$
162791	Simplify	square root of z/(z^(1/3))	$\sqrt{\frac{z}{z^{\frac{1}{3}}}}$
162792	Simplify	((x^2-36)/(8x+48))÷((x^2-4x-12)/(2x))	$\frac{x^{2} - 36}{8 x + 48} \div \frac{x^{2} - 4 x - 12}{2 x}$
162793	Solve the System of Inequalities	4x-6<10 or 30<4x-6	$4 x - 6 < 10$ or $30 < 4 x - 6$
162794	Write in Standard Form	2-9x^4-1/4x	$2 - 9 x^{4} - \frac{1}{4} x$
162795	Simplify	2/(x-4)-7x	$\frac{2}{x - 4} - 7 x$
162796	Solve for x	-3x+2c=-3 ; for x	$- 3 x + 2 c = - 3$ ; for $x$
162797	Simplify	(cos(x)^2tan(x)^2-1)/(cos(x)^2)	$\frac{\cos^{2} (x) \tan^{2} (x) - 1}{\cos^{2} (x)}$
162798	Solve the Inequality for x	(x^2+x-6)/(x^2-3x-4)<=0	$\frac{x^{2} + x - 6}{x^{2} - 3 x - 4} \leq 0$
162799	Factor	3x^3-1-x^2+3x	$3 x^{3} - 1 - x^{2} + 3 x$
162800	Solve for x	x^2+6x+3=2x	$x^{2} + 6 x + 3 = 2 x$