Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181401	Convert to Interval Notation	-(3x)/4<3 or 4x+6<-3	$- \frac{3 x}{4} < 3$ or $4 x + 6 < - 3$
181402	Solve by Completing the Square	2x^2+x-4=0	$2 x^{2} + x - 4 = 0$
181403	Find the x and y Intercepts	F(x)=(x-3)(x+2)	$F (x) = (x - 3) (x + 2)$
181404	Simplify	(3x-1)/(x^2-x)	$\frac{3 x - 1}{x^{2} - x}$
181405	Write as a Single Logarithm	log base b of 10- log base b of 10	$\log_{b} (10) - \log_{b} (10)$
181406	Find the Exact Value	10^22((-10-1)^2)/11+202	$10^{2} \times 2 \frac{{(- 10 - 1)}^{2}}{11} + 20 \times 2$
181407	Graph	y=5/2sin(x+(2pi)/3)	$y = \frac{5}{2} \sin (x + \frac{2 π}{3})$
181408	Divide	(18x^2y+x^2y-45x^3y^5)/(9xy)	$\frac{18 x^{2} y + x^{2} y - 45 x^{3} y^{5}}{9 x y}$
181409	Solve for x	\|x+3\|-1=(x+2)^2	$\| x + 3 \| - 1 = {(x + 2)}^{2}$
181410	Solve for x	x+(2x+1)/(x-1)=3/(x-1)	$x + \frac{2 x + 1}{x - 1} = \frac{3}{x - 1}$
181411	Evaluate	-2k-(-5)+1	$- 2 k - (- 5) + 1$
181412	Solve for b	a/b+3=c	$\frac{a}{b} + 3 = c$
181413	Solve for n	e^(-8n-9)=36.5	$e^{- 8 n - 9} = 36.5$
181414	Solve the Absolute Value Inequality for x	\|x\|<10	$\| x \| < 10$
181415	Solve for w	-6(9-w)=2(3w-7)	$- 6 (9 - w) = 2 (3 w - 7)$
181416	Solve for w	17+27=-7w	$17 + 27 = - 7 w$
181417	Evaluate	10-95+6(-2)	$10 - 9 \cdot 5 + 6 \cdot (- 2)$
181418	Multiply	sixth root of x* fourth root of y^3	$\sqrt[6]{x} \cdot \sqrt[4]{y^{3}}$
181419	Evaluate the Function	f(0)=-8(2)^(3x)+3	$f (0) = - 8 {(2)}^{3 x} + 3$
181420	Expand the Logarithmic Expression	natural log of (x^3y^2)/( square root of x)	$\ln (\frac{x^{3} y^{2}}{\sqrt{x}})$
181421	Evaluate	(7!)/(1!(7-1)!)	$\frac{7!}{1! (7 - 1)!}$
181422	Solve the Absolute Value Inequality for p	\|8+p\|=2p-3	$\| 8 + p \| = 2 p - 3$
181423	Graph	f(x)=0 if x<-4; -x if -4<=x<0; x^2 if x>=0	$f (x) = {\begin{cases} 0 & x < - 4 \\ - x & - 4 \leq x < 0 \\ x^{2} & x \geq 0 \end{cases}$
181424	Evaluate	log base 5 of x+8+ log base 5 of x+4=1	$\log_{5} (x + 8) + \log_{5} (x + 4) = 1$
181425	Graph	p(x)=x(2x+5)(x+1)	$p (x) = x (2 x + 5) (x + 1)$
181426	Graph	y>=x^2+4x-3	$y \geq x^{2} + 4 x - 3$
181427	Solve the Rational Equation for x	square root of x+5+1=x	$\sqrt{x + 5} + 1 = x$
181428	Simplify	(y-3)(y^2+9)(y+3)-(2y^2-y)^2-19	$(y - 3) (y^{2} + 9) (y + 3) - {(2 y^{2} - y)}^{2} - 19$
181429	Graph	log base 1 of x	$\log_{1} (x)$
181430	Solve for x	2^x = square root of 2	$2^{x} = \sqrt{2}$
181431	Evaluate	(3+1/4)(1-4/5)	$(3 + \frac{1}{4}) (1 - \frac{4}{5})$
181432	Solve for x	x/(x-1)-2/x=1/(x-1)	$\frac{x}{x - 1} - \frac{2}{x} = \frac{1}{x - 1}$
181433	Find the Exact Value	(x-3)^2	${(x - 3)}^{2}$
181434	Convert to Interval Notation	g-28<=1	$g - 28 \leq 1$
181435	Solve for x	4+4* log base 2 of x=14	$4 + 4 \cdot \log_{2} (x) = 14$
181436	Divide	(1/2)÷(2/4)	$\frac{1}{2} \div \frac{2}{4}$
181437	Evaluate the Function	f(-2)=-2	$f (- 2) = - 2$
181438	Simplify	(x^2-x)/x	$\frac{x^{2} - x}{x}$
181439	Simplify	(- square root of 7)^2	${(- \sqrt{7})}^{2}$
181440	Solve for b	2(4b-6)=4(3b-7)	$2 (4 b - 6) = 4 (3 b - 7)$
181441	Solve for b	s=n/2(a+b)	$s = \frac{n}{2} (a + b)$
181442	Evaluate	(-1/2)^1	${(- \frac{1}{2})}^{1}$
181443	Solve the Inequality for t	3t-12<=-9	$3 t - 12 \leq - 9$
181444	Graph	f(x)=3/2(1/3)^x	$f (x) = \frac{3}{2} {(\frac{1}{3})}^{x}$
181445	Simplify the Radical Expression	square root of x^20	$\sqrt{x^{20}}$
181446	Simplify	((y^2+y)/(y^2-2y))/((4y+4)/(y^2-4y+4))	$\frac{\frac{y^{2} + y}{y^{2} - 2 y}}{\frac{4 y + 4}{y^{2} - 4 y + 4}}$
181447	Find the Complex Conjugate	square root of -100	$\sqrt{- 100}$
181448	Solve the Inequality for x	(2x+1)/(x-3)<=3	$\frac{2 x + 1}{x - 3} \leq 3$
181449	Evaluate	f(1)=e^1	$f (1) = e^{1}$
181450	Divide	((5x^3)/(3x^2y))÷(25/(3y^9))	$\frac{5 x^{3}}{3 x^{2} y} \div \frac{25}{3 y^{9}}$
181451	Simplify	1/((1/(x^2))^2)	$\frac{1}{{(\frac{1}{x^{2}})}^{2}}$
181452	Solve the Inequality for x	(x-4)/(x+3)<=0	$\frac{x - 4}{x + 3} \leq 0$
181453	Solve the Inequality for x	4x^2-16x>=0	$4 x^{2} - 16 x \geq 0$
181454	Divide	x÷2x	$x \div 2 x$
181455	Evaluate	(6+7i)^2	${(6 + 7 i)}^{2}$
181456	Simplify	( fourth root of y^3)/( square root of y)	$\frac{\sqrt[4]{y^{3}}}{\sqrt{y}}$
181457	Find the Complex Conjugate	square root of -64	$\sqrt{- 64}$
181458	Write in Standard Form	(1,-6) and (-8,-1)	$(1, - 6)$ and $(- 8, - 1)$
181459	Multiply	(2x^2-7x-15)/(x^2-25)*(x^2+x)/(2x^2+5x+3)	$\frac{2 x^{2} - 7 x - 15}{x^{2} - 25} \cdot \frac{x^{2} + x}{2 x^{2} + 5 x + 3}$
181460	Simplify	1/( square root of 5* cube root of 5)	$\frac{1}{\sqrt{5} \cdot \sqrt[3]{5}}$
181461	Solve for x	square root of 12x-23 = square root of 3x-11+ square root of 3x	$\sqrt{12 x - 23} = \sqrt{3 x - 11} + \sqrt{3 x}$
181462	Write Using Positive Exponents	(5^-8)(5^-10)	$(5^{- 8}) (5^{- 10})$
181463	Find the Product	( square root of 14- square root of 3)( square root of 12+ square root of 7)	$(\sqrt{14} - \sqrt{3}) (\sqrt{12} + \sqrt{7})$
181464	Factor	5x^2-x^4-4	$5 x^{2} - x^{4} - 4$
181465	Simplify	(x^2+x-12)/(x^2-16)	$\frac{x^{2} + x - 12}{x^{2} - 16}$
181466	Solve for x	(4\|x+3\|)/3=8	$\frac{4 \| x + 3 \|}{3} = 8$
181467	Solve for x	e^(-3.3x)-7.6=26	$e^{- 3.3 x} - 7.6 = 26$
181468	Simplify	5 square root of 9-2 cube root of 64	$5 \sqrt{9} - 2 \sqrt[3]{64}$
181469	Solve for P	\|P\|>3	$\| P \| > 3$
181470	Solve for x	1310=5450(0.88)^(0.16x+2)+510	$1310 = 5450 {(0.88)}^{0.16 x + 2} + 510$
181471	Solve for k	16(1/8-k/2)=2(k+1)-10k	$16 (\frac{1}{8} - \frac{k}{2}) = 2 (k + 1) - 10 k$
181472	Find the Exact Value	2cos(22.5 degrees )^2-1	$2 \cos^{2} (22.5 °) - 1$
181473	Find the Function	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
181474	Write in Standard Form	g(x) = square root of 3-12x+13x^2	$g (x) = \sqrt{3} - 12 x + 13 x^{2}$
181475	Find f(g(x))	f(x)=x+3 , g(x)=x-3	$f (x) = x + 3$ , $g (x) = x - 3$
181476	Solve for x	8800=6870(0.995)^x+2500	$8800 = 6870 {(0.995)}^{x} + 2500$
181477	Solve for x	10/(5x-9)=8/(2x-8)	$\frac{10}{5 x - 9} = \frac{8}{2 x - 8}$
181478	Evaluate	4x^0	$4 x^{0}$
181479	Solve the Inequality for x	sin(x)>0	$\sin (x) > 0$
181480	Simplify	(8+ square root of -12)-(4+2 square root of 3i)	$(8 + \sqrt{- 12}) - (4 + 2 \sqrt{3} i)$
181481	Graph Using a Table of Values	y=1/2x^3	$y = \frac{1}{2} x^{3}$
181482	Evaluate	x*2x	$x \cdot 2 x$
181483	Evaluate	(-9x^2-2x)-(-9x^2-3x)	$(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)$
181484	Factor by Grouping	3ax-3x+4y-4ay	$3 a x - 3 x + 4 y - 4 a y$
181485	Solve for x	0=x^2+x-2	$0 = x^{2} + x - 2$
181486	Factor by Grouping	2x^2+x+4x+2	$2 x^{2} + x + 4 x + 2$
181487	Graph	y=5/2cos(x-pi/2)	$y = \frac{5}{2} \cos (x - \frac{π}{2})$
181488	Simplify	(a^2+6a-7)/(2a^3+4a^2+2a)*(2a)/(a^2-1)	$\frac{a^{2} + 6 a - 7}{2 a^{3} + 4 a^{2} + 2 a} \cdot \frac{2 a}{a^{2} - 1}$
181489	Solve the Inequality for x	2x^2<3x+2	$2 x^{2} < 3 x + 2$
181490	Determine if Parallel	y=5/4x+1 and y=5/4x-7	$y = \frac{5}{4} x + 1$ and $y = \frac{5}{4} x - 7$
181491	Find the Inverse	f(x)=(( seventh root of x)/5)^3	$f (x) = {(\frac{\sqrt[7]{x}}{5})}^{3}$
181492	Find the x and y Intercepts	x-y	$x - y$
181493	Graph Using a Table of Values	x=-3	$x = - 3$
181494	Solve for b	x^2+bx+16=0	$x^{2} + b x + 16 = 0$
181495	Evaluate	1÷(( square root of 3)/2)	$1 \div \frac{\sqrt{3}}{2}$
181496	Find the x and y Intercepts	(-x-3)(-x-4)=y	$(- x - 3) (- x - 4) = y$
181497	Simplify	2/( cube root of 4)	$\frac{2}{\sqrt[3]{4}}$
181498	Write in Standard Form	-x^2-13+6x=x	$- x^{2} - 13 + 6 x = x$
181499	Graph	1/(1+e^(-x))	$\frac{1}{1 + e^{- x}}$
181500	Evaluate	7^2-\|6-27\|3^2	$7^{2} - \| 6 - 2 \cdot 7 \| \cdot 3^{2}$