Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176401	Simplify	a(x-h)^2+k	$a {(x - h)}^{2} + k$
176402	Graph	-1<x	$- 1 < x$
176403	Simplify	4x^3 square root of 8x^7y^3	$4 x^{3} \sqrt{8 x^{7} y^{3}}$
176404	Find the Parallel Line	(-3,5) and parallel to x+2y=5	$(- 3, 5)$ and parallel to $x + 2 y = 5$
176405	Graph	y=1/3x-3 y=-x+1	$y = \frac{1}{3} x - 3$ $y = - x + 1$
176406	Factor	7x^2+14x=0	$7 x^{2} + 14 x = 0$
176407	Simplify	(3d^2+3d)/(3d-9)-36/(3d-9)	$\frac{3 d^{2} + 3 d}{3 d - 9} - \frac{36}{3 d - 9}$
176408	Solve for x	4(10-x)=40-4x	$4 (10 - x) = 40 - 4 x$
176409	Solve the System of Inequalities	2x-5>-11 or -10x-6>=44	$2 x - 5 > - 11$ or $- 10 x - 6 \geq 44$
176410	Simplify	(-2x^5y^7)^3+7x^15y^21	${(- 2 x^{5} y^{7})}^{3} + 7 x^{15} y^{21}$
176411	Find All Complex Solutions	3(y+41)=3y+123	$3 (y + 41) = 3 y + 123$
176412	Solve the System of Inequalities	3x+9<=6 or 3x+9<=36	$3 x + 9 \leq 6$ or $3 x + 9 \leq 36$
176413	Graph	-x+2y<=-4 3x+y>-1	$- x + 2 y \leq - 4$ $3 x + y > - 1$
176414	Solve the Inequality for x	x/(x+1)>=0	$\frac{x}{x + 1} \geq 0$
176415	Solve for x	-16=4-2x+7x	$- 16 = 4 - 2 x + 7 x$
176416	Solve the Inequality for x	(x-4)(x+1)(x-6)^2<0	$(x - 4) (x + 1) {(x - 6)}^{2} < 0$
176417	Graph	y>=x^2+4	$y \geq x^{2} + 4$
176418	Graph	5x>=20 or x+14<16	$5 x \geq 20$ or $x + 14 < 16$
176419	Solve the Inequality for s	-2(6+s)<-16+2s	$- 2 (6 + s) < - 16 + 2 s$
176420	Solve for a	1/3(3/4a-6)=1/2a+1	$\frac{1}{3} (\frac{3}{4} a - 6) = \frac{1}{2} a + 1$
176421	Find the Function	f(x)=(1/3)^x	$f (x) = {(\frac{1}{3})}^{x}$
176422	Graph	y<=-x+3 y<=2x-3	$y \leq - x + 3$ $y \leq 2 x - 3$
176423	Graph Using a Table of Values	y = log base 1/2 of x	$y = \log_{\frac{1}{2}} (x)$
176424	Evaluate	2*(-1^2)	$2 \cdot (- 1^{2})$
176425	Solve for c	5/12c=3/4(2/3c-4)	$\frac{5}{12} c = \frac{3}{4} (\frac{2}{3} c - 4)$
176426	Graph	y=2*(1/3)^(x+1)-7	$y = 2 \cdot {(\frac{1}{3})}^{x + 1} - 7$
176427	Find the Midpoint	(-1,3) and (-9,-7)	$(- 1, 3)$ and $(- 9, - 7)$
176428	Solve for s	(4s-7)/7=3	$\frac{4 s - 7}{7} = 3$
176429	Graph	y>=2(1.3)^x y<=-x^2+4x+5	$y \geq 2 {(1.3)}^{x}$ $y \leq - x^{2} + 4 x + 5$
176430	Solve Using the Quadratic Formula	y=x^2	$y = x^{2}$
176431	Find the Product	(m^3-8n)^2	${(m^{3} - 8 n)}^{2}$
176432	Find the Holes in the Graph	f(x)=(-2x-8)/(x^2+6x+8)	$f (x) = \frac{- 2 x - 8}{x^{2} + 6 x + 8}$
176433	Evaluate	natural log of e^11- natural log of e^7	$\ln (e^{11}) - \ln (e^{7})$
176434	Solve the System of Equations	y=x^2+x-6 y=-x+18	$y = x^{2} + x - 6$ $y = - x + 18$
176435	Solve the System of Inequalities	-1>=2x+5 and 7>=2x+5	$- 1 \geq 2 x + 5$ and $7 \geq 2 x + 5$
176436	Solve the System of Equations	-5/9x+7/6y=-62/9 -8/7x-5/6y=-26/21	$- \frac{5}{9} x + \frac{7}{6} y = - \frac{62}{9}$ $- \frac{8}{7} x - \frac{5}{6} y = - \frac{26}{21}$
176437	Evaluate	log base 5 of x+ log base 5 of 4x-1=1	$\log_{5} (x) + \log_{5} (4 x - 1) = 1$
176438	Find the x and y Intercepts	r(x)=(x^2+8x-9)/(x^2+3x-4)	$r (x) = \frac{x^{2} + 8 x - 9}{x^{2} + 3 x - 4}$
176439	Graph	f(x)=-4,x<=-2; x-2,-2<x<2; -2x+4,x>=2	$f (x) = {\begin{cases} - 4, x \leq - 2 \\ x - 2, - 2 < x < 2 \\ - 2 x + 4, x \geq 2 \end{cases}$
176440	Simplify	(8xz^3)/(20x^2y^2)	$\frac{8 x z^{3}}{20 x^{2} y^{2}}$
176441	Find the Discriminant	x^2+8x+54=-4x	$x^{2} + 8 x + 54 = - 4 x$
176442	Solve for x	log base 8 of 12=x-2	$\log_{8} (12) = x - 2$
176443	Solve the System of Inequalities	-5<-x+3 or -9<=-x+3	$- 5 < - x + 3$ or $- 9 \leq - x + 3$
176444	Factor	8a^3b^3+27	$8 a^{3} b^{3} + 27$
176445	Find the Midpoint	(-2,3) and (5,-6)	$(- 2, 3)$ and $(5, - 6)$
176446	Solve for x	-4/(x^2)+1=0	$- \frac{4}{x^{2}} + 1 = 0$
176447	Solve for θ	12cos(theta)^2=3	$12 \cos^{2} (θ) = 3$
176448	Find the Midpoint	(10,7) and (2,1)	$(10, 7)$ and $(2, 1)$
176449	Solve for x	\|2x-2\|>=6	$\| 2 x - 2 \| \geq 6$
176450	Find the Domain and Range	F(x) = square root of 3x+6	$F (x) = \sqrt{3 x + 6}$
176451	Simplify	(1/x)/(1/(x^2))	$\frac{\frac{1}{x}}{\frac{1}{x^{2}}}$
176452	Graph Using a Table of Values	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
176453	Simplify	(2+i)/i	$\frac{2 + i}{i}$
176454	Solve for x	-4(3x)^(1/2)=-12	$- 4 {(3 x)}^{\frac{1}{2}} = - 12$
176455	Simplify	( cube root of x^3y^2)^12	${(\sqrt[3]{x^{3} y^{2}})}^{12}$
176456	Divide Using Synthetic Division	(3x^3+x^2-4x+12)/(x+2)	$\frac{3 x^{3} + x^{2} - 4 x + 12}{x + 2}$
176457	Combine Like Terms	(4m^5-5m^6)(4m^5+5m^6)	$(4 m^{5} - 5 m^{6}) (4 m^{5} + 5 m^{6})$
176458	Solve the Inequality for x	4x<=15-3x^2	$4 x \leq 15 - 3 x^{2}$
176459	Simplify	2/( square root of 7- square root of 5)	$\frac{2}{\sqrt{7} - \sqrt{5}}$
176460	Factor	9(x-y)^2+12(x-y)(x+y)+4(x+y)^2	$9 {(x - y)}^{2} + 12 (x - y) (x + y) + 4 {(x + y)}^{2}$
176461	Graph	y>x+3 y<=-2x-6	$y > x + 3$ $y \leq - 2 x - 6$
176462	Evaluate Using the Given Value	9-b when b=8	$9 - b$ when $b = 8$
176463	Solve the System of Inequalities	5x+2>=37 or -7-x>-2	$5 x + 2 \geq 37$ or $- 7 - x > - 2$
176464	Graph	f(x)=-x^4+x^3+3x^2	$f (x) = - x^{4} + x^{3} + 3 x^{2}$
176465	Simplify	(4x^3+y^4)^2	${(4 x^{3} + y^{4})}^{2}$
176466	Find All Complex Solutions	x^4-3x^2+2=0	$x^{4} - 3 x^{2} + 2 = 0$
176467	Factor	x^2-2x+cx-2c	$x^{2} - 2 x + c x - 2 c$
176468	Solve the Inequality for x	-80>10x	$- 80 > 10 x$
176469	Simplify	(8x+3z-8z^2)+(4y-5z)	$(8 x + 3 z - 8 z^{2}) + (4 y - 5 z)$
176470	Solve the Inequality for x	0.2(x+20)-3>-7-6.2x	$0.2 (x + 20) - 3 > - 7 - 6.2 x$
176471	Solve the Inequality for x	x^2+x-2<=0	$x^{2} + x - 2 \leq 0$
176472	Find f(g(x))	f(x)=x-2 , g(x)=x+2	$f (x) = x - 2$ , $g (x) = x + 2$
176473	Solve for x	2^x=-4	$2^{x} = - 4$
176474	Simplify	(1+1/3)^2-2/9	${(1 + \frac{1}{3})}^{2} - \frac{2}{9}$
176475	Solve for y	square root of y^2-7y- square root of y+9=0	$\sqrt{y^{2} - 7 y} - \sqrt{y + 9} = 0$
176476	Solve for x	(5x)/4-1/5=1-2/5(x-1/10)	$\frac{5 x}{4} - \frac{1}{5} = 1 - \frac{2}{5} (x - \frac{1}{10})$
176477	Graph	y=1/2(x-3)^2-2	$y = \frac{1}{2} {(x - 3)}^{2} - 2$
176478	Solve for n	3+4n+n=2n+15	$3 + 4 n + n = 2 n + 15$
176479	Find the Discriminant	-6x^2+12x+12=-7x^2-2	$- 6 x^{2} + 12 x + 12 = - 7 x^{2} - 2$
176480	Find the Midpoint	(10,-5) and (2,-1)	$(10, - 5)$ and $(2, - 1)$
176481	Simplify	(8x)/(12x^2y)	$\frac{8 x}{12 x^{2} y}$
176482	Solve the Rational Equation for x	2/(x^2-x)=1/(x-1)	$\frac{2}{x^{2} - x} = \frac{1}{x - 1}$
176483	Simplify	((x^3yz^0)/(2x^5y^-3))^3	${(\frac{x^{3} y z^{0}}{2 x^{5} y^{- 3}})}^{3}$
176484	Simplify	2xy square root of 4x^6y^3	$2 x y \sqrt{4 x^{6} y^{3}}$
176485	Find the x and y Intercepts	f(x)=x/(x^2+2x)	$f (x) = \frac{x}{x^{2} + 2 x}$
176486	Find the Exact Value	(-4)^-3	${(- 4)}^{- 3}$
176487	Graph	\|x+1\|<=2	$\| x + 1 \| \leq 2$
176488	Solve the System of Inequalities	23<=4x-5 or 39<4x-5	$23 \leq 4 x - 5$ or $39 < 4 x - 5$
176489	Write in Standard Form	-x^2+12-8x=-3	$- x^{2} + 12 - 8 x = - 3$
176490	Find the Exact Value	-1^4	$- 1^{4}$
176491	Find the x and y Intercepts	f(x)=-x(x-2)(x+1)^2	$f (x) = - x (x - 2) {(x + 1)}^{2}$
176492	Simplify	square root of -7* square root of -11	$\sqrt{- 7} \cdot \sqrt{- 11}$
176493	Write the Fraction in Simplest Form	arcsin(sin((3pi)/5))	$\arcsin (\sin (\frac{3 π}{5}))$
176494	Solve for x	1=x^2-6x+9	$1 = x^{2} - 6 x + 9$
176495	Solve for x	fourth root of 4x+1-2=0	$\sqrt[4]{4 x + 1} - 2 = 0$
176496	Solve for x	log base 2 of 6x-3 log base 2 of 2=0	$\log_{2} (6 x) - 3 \log_{2} (2) = 0$
176497	Find the Inverse	y=(3/2)^x	$y = {(\frac{3}{2})}^{x}$
176498	Simplify	3y+2y+y^2+5+y	$3 y + 2 y + y^{2} + 5 + y$
176499	Simplify	(5xy^2+3x^2-7)+(3x^2y^2-xy^2+3y^2+4)	$(5 x y^{2} + 3 x^{2} - 7) + (3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4)$
176500	Solve the Inequality for x	2/3x-5<11	$\frac{2}{3} x - 5 < 11$