Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170501	Solve the Inequality for x	4x^2+7x<-3	$4 x^{2} + 7 x < - 3$
170502	Divide Using Long Polynomial Division	(2x^4+4x^2-17-6x^3)÷(-x^2+2x-3)	$(2 x^{4} + 4 x^{2} - 17 - 6 x^{3}) \div (- x^{2} + 2 x - 3)$
170503	Solve for q	36=q^2	$36 = q^{2}$
170504	Find the Holes in the Graph	f(x)=(x^2-9)/(3x-9)	$f (x) = \frac{x^{2} - 9}{3 x - 9}$
170505	Solve for x	(x^2-3)/(x+2)=(x-3)/2	$\frac{x^{2} - 3}{x + 2} = \frac{x - 3}{2}$
170506	Divide Using Partial Quotients Division	638/4	$\frac{638}{4}$
170507	Solve the Inequality for x	5(x+5)<85	$5 (x + 5) < 85$
170508	Solve the Inequality for x	2x^2-4x-6<0	$2 x^{2} - 4 x - 6 < 0$
170509	Simplify	-6q+7-2+4q	$- 6 q + 7 - 2 + 4 q$
170510	Write Using Positive Exponents	4x^-2	$4 x^{- 2}$
170511	Simplify	(-9 square root of -24)(7 square root of -12)	$(- 9 \sqrt{- 24}) (7 \sqrt{- 12})$
170512	Combine Like Terms	6x^3+5y^3+4+y^3+6+x^3-3x^3	$6 x^{3} + 5 y^{3} + 4 + y^{3} + 6 + x^{3} - 3 x^{3}$
170513	Solve the Inequality for x	9-2x<7+2(x-3)	$9 - 2 x < 7 + 2 (x - 3)$
170514	Solve Using the Quadratic Formula	f(x)=x^2+7x+9	$f (x) = x^{2} + 7 x + 9$
170515	Solve the System of Equations	y-6=x^2-3x x+2y=2	$y - 6 = x^{2} - 3 x$ $x + 2 y = 2$
170516	Solve Using the Quadratic Formula	1/2n^2+2/3n=-1	$\frac{1}{2} n^{2} + \frac{2}{3} n = - 1$
170517	Graph Using a Table of Values	f(x)=x^2-9	$f (x) = x^{2} - 9$
170518	Factor	-7x^5yz^3+28xz^2	$- 7 x^{5} y z^{3} + 28 x z^{2}$
170519	Solve the Inequality for x	(x+14)/2<=4x	$\frac{x + 14}{2} \leq 4 x$
170520	Simplify	(2xy)^2(-3x^2)(4y^2)	${(2 x y)}^{2} (- 3 x^{2}) (4 y^{2})$
170521	Solve the Inequality for x	2x^2+4x<0	$2 x^{2} + 4 x < 0$
170522	Graph	y=sin(x)+pi	$y = \sin (x) + π$
170523	Graph	((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1	$\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
170524	Solve for θ	2sin(theta)^2-cos(theta)=1	$2 \sin^{2} (θ) - \cos (θ) = 1$
170525	Solve the System of Equations	2x+y=8 y=-x+5	$2 x + y = 8$ $y = - x + 5$
170526	Solve for x	7+ log base 4 of -5x=9	$7 + \log_{4} (- 5 x) = 9$
170527	Solve for y	y-11+3y=6y+4	$y - 11 + 3 y = 6 y + 4$
170528	Solve for θ	cos(2theta)=cos(theta)^2-1/2	$\cos (2 θ) = \cos^{2} (θ) - \frac{1}{2}$
170529	Graph	sin(t)<0 and cos(t)<0	$\sin (t) < 0$ and $\cos (t) < 0$
170530	Graph	x(x-6)>0	$x (x - 6) > 0$
170531	Write in Slope-Intercept Form	(3(x-y))/2=9	$\frac{3 (x - y)}{2} = 9$
170532	Solve for y	y=(1/2)^-2	$y = {(\frac{1}{2})}^{- 2}$
170533	Simplify	((24a^3)/(35b^2))÷((16a)/(14b^3))	$\frac{24 a^{3}}{35 b^{2}} \div \frac{16 a}{14 b^{3}}$
170534	Factor	14x^3y^3z-21xy^4z^4	$14 x^{3} y^{3} z - 21 x y^{4} z^{4}$
170535	Solve for P	7.50+14P<60	$7.5 + 14 P < 60$
170536	Graph Using a Table of Values	g(x)=3-8x	$g (x) = 3 - 8 x$
170537	Simplify	-3-5x-5y+8x+7y+8	$- 3 - 5 x - 5 y + 8 x + 7 y + 8$
170538	Find the Sum and Product of the Roots of the Quadratic Equation	6x^2-3=2x	$6 x^{2} - 3 = 2 x$
170539	Write in Slope-Intercept Form	1/3x+y=-2	$\frac{1}{3} x + y = - 2$
170540	Find the Equation Using Slope-Intercept Form	the slope is 5 passing through (-1,4)	the slope is $5$ passing through $(- 1, 4)$
170541	Solve the System of Equations	-x-4y=4 x+4y=4	$- x - 4 y = 4$ $x + 4 y = 4$
170542	Solve for x	3/(1-3x)+5/(2-x)+(9-2x)/(3x^2-7x+2)=0	$\frac{3}{1 - 3 x} + \frac{5}{2 - x} + \frac{9 - 2 x}{3 x^{2} - 7 x + 2} = 0$
170543	Solve for a	ax-b=c	$a x - b = c$
170544	Solve for c	-6/7-2/3c=1/7	$- \frac{6}{7} - \frac{2}{3} c = \frac{1}{7}$
170545	Solve for θ	2cos(theta)^2+cos(theta)=0	$2 \cos^{2} (θ) + \cos (θ) = 0$
170546	Solve the System of Equations	y=3x-8 y=4-x	$y = 3 x - 8$ $y = 4 - x$
170547	Write in Standard Form	(b^2+4b+4)(-b+3)	$(b^{2} + 4 b + 4) (- b + 3)$
170548	Solve the Inequality for x	(x+2)/(x-3)<0	$\frac{x + 2}{x - 3} < 0$
170549	Factor	-20y^4z^4-16x^4y^5z^5	$- 20 y^{4} z^{4} - 16 x^{4} y^{5} z^{5}$
170550	Solve for m	5/(4-m)=-3/(m+2)	$\frac{5}{4 - m} = \frac{- 3}{m + 2}$
170551	Solve for x	x^2=5^2+12^2	$x^{2} = 5^{2} + 12^{2}$
170552	Solve for x	16-2x=x+9+4x	$16 - 2 x = x + 9 + 4 x$
170553	Solve for x	-9/(x+5)+1=-x/(x+5)	$- \frac{9}{x + 5} + 1 = - \frac{x}{x + 5}$
170554	Solve the Absolute Value Inequality for x	\|3x-4\|=\|3x-5\|	$\| 3 x - 4 \| = \| 3 x - 5 \|$
170555	Simplify	-81x+19y-30z+6y+80x+x-25y	$- 81 x + 19 y - 30 z + 6 y + 80 x + x - 25 y$
170556	Subtract	2-5/2	$2 - \frac{5}{2}$
170557	Graph Using a Table of Values	y=2^(x+1)	$y = 2^{x + 1}$
170558	Find the Holes in the Graph	f(x)=(3x^2+26x+16)/(2x+16)	$f (x) = \frac{3 x^{2} + 26 x + 16}{2 x + 16}$
170559	Simplify the Radical Expression	square root of 125n	$\sqrt{125 n}$
170560	Solve the Inequality for x	6(x+2)>x-3	$6 (x + 2) > x - 3$
170561	Simplify	3*3^2+8÷2-(4+3)	$3 \cdot 3^{2} + 8 \div 2 - (4 + 3)$
170562	Evaluate	1/(4(16)^(3/4))	$\frac{1}{4 {(16)}^{\frac{3}{4}}}$
170563	Solve the Inequality for x	x/3<-3	$\frac{x}{3} < - 3$
170564	Simplify	2/(2n-5)+(6n)/(n+2)	$\frac{2}{2 n - 5} + \frac{6 n}{n + 2}$
170565	Find the Roots (Zeros)	f(x) = square root of 2x-1	$f (x) = \sqrt{2 x} - 1$
170566	Graph Using a Table of Values	g(x)=5^x	$g (x) = 5^{x}$
170567	Solve for b	\|b/4\|=6	$\| \frac{b}{4} \| = 6$
170568	Solve the Inequality for x	(-x+6)/(x-9)>=0	$\frac{- x + 6}{x - 9} \geq 0$
170569	Solve for z	z(z+9)=1	$z (z + 9) = 1$
170570	Simplify	(x^-7)/(x^-6*x^-2)	$\frac{x^{- 7}}{x^{- 6} \cdot x^{- 2}}$
170571	Evaluate	324^(1/4)* fourth root of 1/4	$324^{\frac{1}{4}} \cdot \sqrt[4]{\frac{1}{4}}$
170572	Evaluate	2e-3-1/5e=7/5+3e+4	$2 e - 3 - \frac{1}{5} e = \frac{7}{5} + 3 e + 4$
170573	Find the Slope and y-intercept	2x+4y=6x-y	$2 x + 4 y = 6 x - y$
170574	Write in Exponential Form	log base (x+3) of 8=1/2	$\log_{(x + 3)} (8) = \frac{1}{2}$
170575	Graph	f(x)=-2x,x<-1; -1,-1<=x<2; x-1,x>=2	$f (x) = {\begin{cases} - 2 x, x < - 1 \\ - 1, - 1 \leq x < 2 \\ x - 1, x \geq 2 \end{cases}$
170576	Simplify	(x^2-2x-3)/(15-2x-x^2)	$\frac{x^{2} - 2 x - 3}{15 - 2 x - x^{2}}$
170577	Find All Complex Solutions	7(2e-1)-3=6+6e	$7 (2 e - 1) - 3 = 6 + 6 e$
170578	Graph Using a Table of Values	y=5x^2	$y = 5 x^{2}$
170579	Simplify	(9x^3y^-10z^6)/(3xy^2z^-3)	$\frac{9 x^{3} y^{- 10} z^{6}}{3 x y^{2} z^{- 3}}$
170580	Solve for n	log base 4 of 48- log base 4 of n = log base 4 of 6	$\log_{4} (48) - \log_{4} (n) = \log_{4} (6)$
170581	Solve the Inequality for x	x^2-2x+3>0	$x^{2} - 2 x + 3 > 0$
170582	Solve for x	6x^2+6=12x+18	$6 x^{2} + 6 = 12 x + 18$
170583	Solve for x	3/4(8x-6)-2=1/2-x	$\frac{3}{4} (8 x - 6) - 2 = \frac{1}{2} - x$
170584	Solve for h	f(x)=(x-h)^2+k	$f (x) = {(x - h)}^{2} + k$
170585	Solve for a	-1/4=1/5-1/3a	$- \frac{1}{4} = \frac{1}{5} - \frac{1}{3} a$
170586	Solve the Rational Equation for x	(x^2-1)/(x-3)=8/(x-3)	$\frac{x^{2} - 1}{x - 3} = \frac{8}{x - 3}$
170587	Evaluate	(15-9)/3*(19-10)	$\frac{15 - 9}{3} \cdot (19 - 10)$
170588	Simplify	((4z+4)/(2z-6))÷((z^2+5z+6)/(z^2-5z+6))*(2z+4)/(4z-4)	$\frac{4 z + 4}{2 z - 6} \div \frac{z^{2} + 5 z + 6}{z^{2} - 5 z + 6} \cdot \frac{2 z + 4}{4 z - 4}$
170589	Solve for x	a=2x+6xz for x	$a = 2 x + 6 x z$ for $x$
170590	Find the Exact Value	2cos(15 degrees )^2-1	$2 \cos^{2} (15 °) - 1$
170591	Evaluate	(x-1/2)^2	${(x - \frac{1}{2})}^{2}$
170592	Graph	y>-2 x+y<4	$y > - 2$ $x + y < 4$
170593	Factor	x^4-13x^2+36=0	$x^{4} - 13 x^{2} + 36 = 0$
170594	Simplify	(-2(v^-1)^2)/(-5v)	$\frac{- 2 {(v^{- 1})}^{2}}{- 5 v}$
170595	Solve the Inequality for x	2x<=-2/3(4x+4)	$2 x \leq - \frac{2}{3} (4 x + 4)$
170596	Solve for g	f=12gh+15g	$f = 12 g h + 15 g$
170597	Simplify	((x+4)/2)÷((x^2-16)/8)	$\frac{x + 4}{2} \div \frac{x^{2} - 16}{8}$
170598	Simplify	(-6j^-9)/((-2j^4)^3)	$\frac{- 6 j^{- 9}}{{(- 2 j^{4})}^{3}}$
170599	Solve the Inequality for x	x^2>=25	$x^{2} \geq 25$
170600	Solve the Absolute Value Inequality for x	\|x+4\|<=8	$\| x + 4 \| \leq 8$