Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170401	Solve the Inequality for x	8>=3+x	$8 \geq 3 + x$
170402	Find the Exact Value	tan(255 degrees )	$\tan (255 °)$
170403	Write the Fraction in Simplest Form	(45a^2b)/(30ab)	$\frac{45 a^{2} b}{30 a b}$
170404	Graph	f(x)=-x^2+x	$f (x) = - x^{2} + x$
170405	Factor	(x^2-10x+25)	$(x^{2} - 10 x + 25)$
170406	Solve the Absolute Value Inequality for x	\|x-3\|=7	$\| x - 3 \| = 7$
170407	Solve the Absolute Value Inequality for m	\|m+3\|=7	$\| m + 3 \| = 7$
170408	Simplify	-5/8(-3/8-1/4)	$- \frac{5}{8} (- \frac{3}{8} - \frac{1}{4})$
170409	Graph	y=1/3\|x-4\|	$y = \frac{1}{3} \| x - 4 \|$
170410	Find the x and y Intercepts	f(x)=4(1/2)^x	$f (x) = 4 {(\frac{1}{2})}^{x}$
170411	Solve the Inequality for x	2x^2<9x+5	$2 x^{2} < 9 x + 5$
170412	Divide	(6x^4+15x^2-8-20x^3)÷(-x^2+2x-1)	$(6 x^{4} + 15 x^{2} - 8 - 20 x^{3}) \div (- x^{2} + 2 x - 1)$
170413	Factor	15z^4-9x^3y^3z^5	$15 z^{4} - 9 x^{3} y^{3} z^{5}$
170414	Simplify	2/(5a^2)+1/(3ab)	$\frac{2}{5 a^{2}} + \frac{1}{3 a b}$
170415	Solve for t	4-t=3(t-1)-5	$4 - t = 3 (t - 1) - 5$
170416	Write in Exponential Form	log base (x+7) of 7=5x	$\log_{(x + 7)} (7) = 5 x$
170417	Solve for X	X^2+24=60	$X^{2} + 24 = 60$
170418	Find the Domain and Range	f(1)	$f (1)$
170419	Graph	y=-f(x)+1	$y = - f (x) + 1$
170420	Solve for b	-1/2+1/2b=7/8	$- \frac{1}{2} + \frac{1}{2} b = \frac{7}{8}$
170421	Simplify	(x^-1y)/(xy^-2)	$\frac{x^{- 1} y}{x y^{- 2}}$
170422	Simplify	(4xy)(2x^2y)(3xy)^3	$(4 x y) (2 x^{2} y) {(3 x y)}^{3}$
170423	Graph	y=tan(x-(5pi)/6)	$y = \tan (x - \frac{5 π}{6})$
170424	Divide	2 1/2÷2	$2 \frac{1}{2} \div 2$
170425	Solve the Absolute Value Inequality for x	5\|x+8\|+1=9	$5 \| x + 8 \| + 1 = 9$
170426	Solve for x	a-bx=c	$a - b x = c$
170427	Graph Using a Table of Values	f(x)=(1/9)^x	$f (x) = {(\frac{1}{9})}^{x}$
170428	Simplify	(- square root of 8* square root of 2)+ square root of -36	$(- \sqrt{8} \cdot \sqrt{2}) + \sqrt{- 36}$
170429	Find the First Term	a_n=n	$a_{n} = n$
170430	Solve for V	R=V/I	$R = \frac{V}{I}$
170431	Find the Exact Value	sin(45 degrees )+cos(60 degrees )	$\sin (45 °) + \cos (60 °)$
170432	Simplify	- square root of 25+ square root of -40+ square root of 81- square root of -10	$- \sqrt{25} + \sqrt{- 40} + \sqrt{81} - \sqrt{- 10}$
170433	Simplify	(3x)/5-(2x)/9	$\frac{3 x}{5} - \frac{2 x}{9}$
170434	Solve for x	natural log of 2x+ natural log of 2=0	$\ln (2 x) + \ln (2) = 0$
170435	Simplify the Radical Expression	cube root of x^7	$\sqrt[3]{x^{7}}$
170436	Solve for x	x^3-2x^2-2x=2	$x^{3} - 2 x^{2} - 2 x = 2$
170437	Solve for x	(1/81)^(2x+9)=27^(6x-7)	${(\frac{1}{81})}^{2 x + 9} = 27^{6 x - 7}$
170438	Simplify	(6x^2)/(x^2-36)-(6x)/(x+6)+6/(x-6)	$\frac{6 x^{2}}{x^{2} - 36} - \frac{6 x}{x + 6} + \frac{6}{x - 6}$
170439	Solve the Absolute Value Inequality for x	2\|3x-5\|-8=8	$2 \| 3 x - 5 \| - 8 = 8$
170440	Solve the System of Equations	x+3y=6 -x-3y=6	$x + 3 y = 6$ $- x - 3 y = 6$
170441	Combine Like Terms	-2x^2+4-7x^2-4x+2-2+4x	$- 2 x^{2} + 4 - 7 x^{2} - 4 x + 2 - 2 + 4 x$
170442	Combine Like Terms	5x^2+4+6y-1+3y-4x^2-5	$5 x^{2} + 4 + 6 y - 1 + 3 y - 4 x^{2} - 5$
170443	Solve for x	2-(3-2(x+1))=3x+2(x-(3+2x))	$2 - (3 - 2 (x + 1)) = 3 x + 2 (x - (3 + 2 x))$
170444	Simplify	(6y-4)/(y^2-5)-(3y+1)/(y^2-5)	$\frac{6 y - 4}{y^{2} - 5} - \frac{3 y + 1}{y^{2} - 5}$
170445	Find the LCD	(8x)/(3x^2-11x+6) and 3/(3x^2+10x-8)	$\frac{8 x}{3 x^{2} - 11 x + 6}$ and $\frac{3}{3 x^{2} + 10 x - 8}$
170446	Graph	x(x-5)>0	$x (x - 5) > 0$
170447	Graph	m(x)=-x(x-4)	$m (x) = - x (x - 4)$
170448	Combine Like Terms	1+1+7x^2+7y^3+3+2x^2-y^3	$1 + 1 + 7 x^{2} + 7 y^{3} + 3 + 2 x^{2} - y^{3}$
170449	Simplify	((5w^-4h^5)^-4)/(4w^2)	$\frac{{(5 w^{- 4} h^{5})}^{- 4}}{4 w^{2}}$
170450	Factor	12m^2n+24m^3n^2-36m^4n+48m^5n^4	$12 m^{2} n + 24 m^{3} n^{2} - 36 m^{4} n + 48 m^{5} n^{4}$
170451	Solve the Inequality for x	2(x+3)<=3-x	$2 (x + 3) \leq 3 - x$
170452	Multiply	(25x^2-49)/(3x^2+x-14)*(4x-8)/(5x+7)	$\frac{25 x^{2} - 49}{3 x^{2} + x - 14} \cdot \frac{4 x - 8}{5 x + 7}$
170453	Solve for x	2-3(x+1)^(2/3)=-25	$2 - 3 {(x + 1)}^{\frac{2}{3}} = - 25$
170454	Solve the Inequality for x	x/-5<=-2	$\frac{x}{- 5} \leq - 2$
170455	Simplify	(13-i)/(3-i)	$\frac{13 - i}{3 - i}$
170456	Solve for x	11x+1=-1+x	$11 x + 1 = - 1 + x$
170457	Simplify	x/( cube root of x)	$\frac{x}{\sqrt[3]{x}}$
170458	Simplify	7v^310u^3v^58uv^3	$7 v^{3} \cdot 10 u^{3} v^{5} \cdot 8 u v^{3}$
170459	Graph	y=-2*3^(5-x)	$y = - 2 \cdot 3^{5 - x}$
170460	Graph	y=-5*(1/3)^(x-4)	$y = - 5 \cdot {(\frac{1}{3})}^{x - 4}$
170461	Find the x and y Intercepts	f(x)=(3x^2-6x-24)/(2x^2-8)	$f (x) = \frac{3 x^{2} - 6 x - 24}{2 x^{2} - 8}$
170462	Solve the Inequality for x	\|x+8\|>5	$\| x + 8 \| > 5$
170463	Solve for x	g=x-c+y ; for x	$g = x - c + y$ ; for $x$
170464	Solve the System of Equations	y=3x y=x^2+3x-16	$y = 3 x$ $y = x^{2} + 3 x - 16$
170465	Solve for θ	sin(theta)=1/( square root of 2)	$\sin (θ) = \frac{1}{\sqrt{2}}$
170466	Find f(h(x))	f(x)=5x^2+2x-5 , g(x)=7x+8 , h(x)=4x^2-10	$f (x) = 5 x^{2} + 2 x - 5$ , $g (x) = 7 x + 8$ , $h (x) = 4 x^{2} - 10$
170467	Graph	y<=2x-5 y>-3x+1	$y \leq 2 x - 5$ $y > - 3 x + 1$
170468	Find g(f(x))	f(x)=4x and g(x)=x/4	$f (x) = 4 x$ and $g (x) = \frac{x}{4}$
170469	Solve for x	3(x-4)^2=27	$3 {(x - 4)}^{2} = 27$
170470	Find the Sum and Product of the Roots of the Quadratic Equation	4x^2-12x+9=0	$4 x^{2} - 12 x + 9 = 0$
170471	Simplify	((m^2+m-30)/(m^2+13m+42))÷((m-2)/(m+7))	$\frac{m^{2} + m - 30}{m^{2} + 13 m + 42} \div \frac{m - 2}{m + 7}$
170472	Find the Exact Value	sin(105 degrees )+sin(15 degrees )	$\sin (105 °) + \sin (15 °)$
170473	Find the Perfect Square Trinomial	4x^2+4x+1	$4 x^{2} + 4 x + 1$
170474	Simplify	3 square root of 6*5 square root of 2	$3 \sqrt{6} \cdot 5 \sqrt{2}$
170475	Simplify	(2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b)	$(2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2}) - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)$
170476	Solve for t	t^2+8t+16=0	$t^{2} + 8 t + 16 = 0$
170477	Find the Roots (Zeros)	p(x)=3x(x-2)(2x-7)	$p (x) = 3 x (x - 2) (2 x - 7)$
170478	Solve for x	7x-5=10x-x-15	$7 x - 5 = 10 x - x - 15$
170479	Convert to Interval Notation	x<8 or x<9	$x < 8$ or $x < 9$
170480	Solve for x	3-x/2>=15	$3 - \frac{x}{2} \geq 15$
170481	Solve for c	-1/2+1/10c=5/6	$- \frac{1}{2} + \frac{1}{10} c = \frac{5}{6}$
170482	Solve the Inequality for x	3(2x-1)>4+5(x-1)	$3 (2 x - 1) > 4 + 5 (x - 1)$
170483	Convert to Polar	x^2-y^2=4	$x^{2} - y^{2} = 4$
170484	Find the Holes in the Graph	f(x)=(2x^2+10x+12)/(x^2+3x+2)	$f (x) = \frac{2 x^{2} + 10 x + 12}{x^{2} + 3 x + 2}$
170485	Simplify	((3x^5y^5)^3)/(3x^3y^11)+4x^12y^4	$\frac{{(3 x^{5} y^{5})}^{3}}{3 x^{3} y^{11}} + 4 x^{12} y^{4}$
170486	Determine if Perpendicular	y=-3x+6 and y=1/3x-8	$y = - 3 x + 6$ and $y = \frac{1}{3} x - 8$
170487	Simplify	sin(x)cot(x)+cos(x)tan(x)	$\sin (x) \cdot \cot (x) + \cos (x) \cdot \tan (x)$
170488	Find the x and y Intercepts	y=(1/2)^x+2	$y = {(\frac{1}{2})}^{x} + 2$
170489	Simplify	(x^2+x-6)(2x^2+4x)	$(x^{2} + x - 6) (2 x^{2} + 4 x)$
170490	Solve the Absolute Value Inequality for x	\|2x-3\|<5	$\| 2 x - 3 \| < 5$
170491	Simplify	((4qh^-3)^-2)/(12q^8h^8)	$\frac{{(4 q h^{- 3})}^{- 2}}{12 q^{8} h^{8}}$
170492	Rationalize the Denominator	1/( square root of 3+ square root of 2)	$\frac{1}{\sqrt{3} + \sqrt{2}}$
170493	Divide	4 2/3÷(1/2)	$4 \frac{2}{3} \div \frac{1}{2}$
170494	Convert to Radical Form	(4^6)(4^-8)	$(4^{6}) (4^{- 8})$
170495	Solve for x	3^(2x-1)>=1/243	$3^{2 x - 1} \geq \frac{1}{243}$
170496	Solve for a	g=b-ca ; for a	$g = b - c a$ ; for $a$
170497	Simplify	(a+1-6/a)/(a-1-2/a)	$\frac{a + 1 - \frac{6}{a}}{a - 1 - \frac{2}{a}}$
170498	Solve for z	1/2=1/2z-5/7	$\frac{1}{2} = \frac{1}{2} z - \frac{5}{7}$
170499	Solve for x	-3x+5=-6x-13+x	$- 3 x + 5 = - 6 x - 13 + x$
170500	Solve for a	(a+1)/(5a)-1/a=1	$\frac{a + 1}{5 a} - \frac{1}{a} = 1$