Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177801	Solve for x	-6x-20=-2x+4(1-3x)	$- 6 x - 20 = - 2 x + 4 (1 - 3 x)$
177802	Solve for a	a-6<=15+8a	$a - 6 \leq 15 + 8 a$
177803	Solve for x	log base 3 of x-3- log base 3 of 2x+3=2	$\log_{3} (x - 3) - \log_{3} (2 x + 3) = 2$
177804	Solve for m	p=5(m+10)	$p = 5 (m + 10)$
177805	Find the Inverse	f(x)=4+5/(e^(x-3))	$f (x) = 4 + \frac{5}{e^{x - 3}}$
177806	Solve for θ	sin(2theta)+sin(theta)=0	$\sin (2 θ) + \sin (θ) = 0$
177807	Simplify	(6-5i)/(3i)	$\frac{6 - 5 i}{3 i}$
177808	Write in Slope-Intercept Form	y-2/3=-2(x-1/4)	$y - \frac{2}{3} = - 2 (x - \frac{1}{4})$
177809	Simplify	(3/x+1/4)/(1+3/x)	$\frac{\frac{3}{x} + \frac{1}{4}}{1 + \frac{3}{x}}$
177810	Solve for x	4^(0.2x)+6=43	$4^{0.2 x} + 6 = 43$
177811	Find the Holes in the Graph	f(x)=(x^3+5x^2+6x)/(3x^2+9x)	$f (x) = \frac{x^{3} + 5 x^{2} + 6 x}{3 x^{2} + 9 x}$
177812	Evaluate	4cos(x)^2-1=0	$4 \cos^{2} (x) - 1 = 0$
177813	Evaluate	(4x^4)^2	${(4 x^{4})}^{2}$
177814	Solve for x	-4/(x^2+4x)-1/(x+4)=-5	$- \frac{4}{x^{2} + 4 x} - \frac{1}{x + 4} = - 5$
177815	Find the Function	f(x)=-7x-1	$f (x) = - 7 x - 1$
177816	Evaluate	2+(4-3(3-6)-4)+10	$2 + (4 - 3 (3 - 6) - 4) + 10$
177817	Solve for x	x-2/(x+2)=x/(x+2)	$x - \frac{2}{x + 2} = \frac{x}{x + 2}$
177818	Find the Complex Conjugate	square root of -81	$\sqrt{- 81}$
177819	Solve for y	6(y-2)+1=2(3y-5)	$6 (y - 2) + 1 = 2 (3 y - 5)$
177820	Simplify	(x^2-5x+4)(x^2-9)	$(x^{2} - 5 x + 4) (x^{2} - 9)$
177821	Simplify	(1+i)/(4-3i)	$\frac{1 + i}{4 - 3 i}$
177822	Factor	(x^2+x)	$(x^{2} + x)$
177823	Solve the Inequality for x	x+4>=1/2(x-3)	$x + 4 \geq \frac{1}{2} (x - 3)$
177824	Solve for x	-3\|x+5\|+1=7\|x+5\|+8	$- 3 \| x + 5 \| + 1 = 7 \| x + 5 \| + 8$
177825	Simplify	((x^2-4)/(x^3+7x^2))÷((x^3-x^2-6x)/(x^2+4x-21))	$\frac{x^{2} - 4}{x^{3} + 7 x^{2}} \div \frac{x^{3} - x^{2} - 6 x}{x^{2} + 4 x - 21}$
177826	Factor	6ac-4ad-9bc+6bd+15c^2-10cd	$6 a c - 4 a d - 9 b c + 6 b d + 15 c^{2} - 10 c d$
177827	Solve for a	5(14/5a-6)+8(3/4a-3)=2a	$5 (\frac{14}{5} a - 6) + 8 (\frac{3}{4} a - 3) = 2 a$
177828	Solve the System of Equations	f(x)=x^2-5x+3 , f(x)=-3	$f (x) = x^{2} - 5 x + 3$ , $f (x) = - 3$
177829	Find the Domain and Range	x/(x+2)	$\frac{x}{x + 2}$
177830	Solve for j	4j-2=3(1/3j+2)	$4 j - 2 = 3 (\frac{1}{3} j + 2)$
177831	Simplify	2(1)^2	$2 {(1)}^{2}$
177832	Graph	2p-4p<=-2	$2 p - 4 p \leq - 2$
177833	Graph	-3<y<=3	$- 3 < y \leq 3$
177834	Convert to a Percentage	12 is what percent of 80	$12$ is what percent of $80$
177835	Find the x and y Intercepts	f(x)=(x+4)/(-2x-6)	$f (x) = \frac{x + 4}{- 2 x - 6}$
177836	Solve for M	P=2M+2G for M	$P = 2 M + 2 G$ for $M$
177837	Simplify	(6 square root of 20)/(3 square root of 5)	$\frac{6 \sqrt{20}}{3 \sqrt{5}}$
177838	Solve the Inequality for x	(12x-1)(3x+1)<1+(6x+2)^2	$(12 x - 1) (3 x + 1) < 1 + {(6 x + 2)}^{2}$
177839	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-7x+3=0	$2 x^{2} - 7 x + 3 = 0$
177840	Solve the Inequality for x	x^2-x<=6	$x^{2} - x \leq 6$
177841	Divide Using Synthetic Division	(180x-x^4)/(x-6)	$\frac{180 x - x^{4}}{x - 6}$
177842	Write the Fraction in Simplest Form	1/7-3(3/7n-2/7)	$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$
177843	Find the Midpoint	(-9,2) and (-5,-6)	$(- 9, 2)$ and $(- 5, - 6)$
177844	Find the Midpoint	(-2,1) and (6,-3)	$(- 2, 1)$ and $(6, - 3)$
177845	Subtract	(12a^5-6a-10a^3)-(10a-2a^5-14a^4)	$(12 a^{5} - 6 a - 10 a^{3}) - (10 a - 2 a^{5} - 14 a^{4})$
177846	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-4x+5=0	$2 x^{2} - 4 x + 5 = 0$
177847	Solve the System of Inequalities	-2x+6>=0 or -10<-2x+6	$- 2 x + 6 \geq 0$ or $- 10 < - 2 x + 6$
177848	Solve for a	3(2/3a-1/3)=5a+3	$3 (\frac{2}{3} a - \frac{1}{3}) = 5 a + 3$
177849	Graph	tan(theta)<0 and cos(theta)>0	$\tan (θ) < 0$ and $\cos (θ) > 0$
177850	Solve for b	2^(2b-3)=32	$2^{2 b - 3} = 32$
177851	Find the Midpoint	(4,2) and (7,6)	$(4, 2)$ and $(7, 6)$
177852	Solve for n	25+2(n+2)=30	$25 + 2 (n + 2) = 30$
177853	Find the Inverse	f(x)=5x^(1/4)	$f (x) = 5 x^{\frac{1}{4}}$
177854	Evaluate Using the Given Value	y=x+12 , x	$y = x + 12$ , $x$
177855	Graph	F(x)=-x^7+5x^3+7	$F (x) = - x^{7} + 5 x^{3} + 7$
177856	Solve Using the Quadratic Formula	2x+10	$2 x + 10$
177857	Solve for z	(2z+6)/(z+2)=3-1/z	$\frac{2 z + 6}{z + 2} = 3 - \frac{1}{z}$
177858	Find the GCF	270 and 360	$270$ and $360$
177859	Find the x and y Intercepts	y=(2x^2-3x+1)/(2x^2+8x+6)	$y = \frac{2 x^{2} - 3 x + 1}{2 x^{2} + 8 x + 6}$
177860	Solve for x	(x-2)/(2x+4)=1/5	$\frac{x - 2}{2 x + 4} = \frac{1}{5}$
177861	Graph	1+y^2=x^2	$1 + y^{2} = x^{2}$
177862	Solve the System of Inequalities	-2<5x+8 and 48>=5x+8	$- 2 < 5 x + 8$ and $48 \geq 5 x + 8$
177863	Solve by Substitution	8x+y=4 -2x-8=y	$8 x + y = 4$ $- 2 x - 8 = y$
177864	Find the Domain and Range	f(-4)	$f (- 4)$
177865	Graph	y<=-2x+1/2	$y \leq - 2 x + \frac{1}{2}$
177866	Solve for x	\|2x-12\|=-4x	$\| 2 x - 12 \| = - 4 x$
177867	Solve for x	7/8(-32-48x)+36=2/3(-33x-18)-10x	$\frac{7}{8} (- 32 - 48 x) + 36 = \frac{2}{3} (- 33 x - 18) - 10 x$
177868	Solve for x	square root of 3x-7+ square root of 2x-1=0	$\sqrt{3 x - 7} + \sqrt{2 x - 1} = 0$
177869	Solve for x	y^2-x^2+1=50	$y^{2} - x^{2} + 1 = 50$
177870	Solve for y	1-(y-1)/y=1/(y^2+2y)	$1 - \frac{y - 1}{y} = \frac{1}{y^{2} + 2 y}$
177871	Evaluate	(x-3)(x-2)	$(x - 3) (x - 2)$
177872	Simplify	(8n)/(n-3)+(3n)/(5n-6)	$\frac{8 n}{n - 3} + \frac{3 n}{5 n - 6}$
177873	Divide	(3/5)÷(7/10)	$\frac{3}{5} \div \frac{7}{10}$
177874	Expand Using the Binomial Theorem	(1-2x)^n	${(1 - 2 x)}^{n}$
177875	Solve the Inequality for x	(x-1)/(x^2-6x-7)>0	$\frac{x - 1}{x^{2} - 6 x - 7} > 0$
177876	Solve the Inequality for x	2/(x-1)<3	$\frac{2}{x - 1} < 3$
177877	Solve the Inequality for x	x^2-196<0	$x^{2} - 196 < 0$
177878	Simplify	(10u-8v)(u+v)	$(10 u - 8 v) (u + v)$
177879	Evaluate	12+8^2+3^2	$12 + 8^{2} + 3^{2}$
177880	Solve Using the Quadratic Formula	f(x)=x^2+6x+5	$f (x) = x^{2} + 6 x + 5$
177881	Divide	(7/8)÷(-5/12)	$\frac{7}{8} \div (- \frac{5}{12})$
177882	Simplify	(4/5)^-1	${(\frac{4}{5})}^{- 1}$
177883	Graph	f(x)=In(x)	$f (x) = I n (x)$
177884	Solve for k	5/(7k+4)=2/(2k-3)	$\frac{5}{7 k + 4} = \frac{2}{2 k - 3}$
177885	Evaluate	\|3-8\|-(12÷3+1)^2	$\| 3 - 8 \| - {(12 \div 3 + 1)}^{2}$
177886	Solve for x	(x+6)/3-(x+8)/5=0	$\frac{x + 6}{3} - \frac{x + 8}{5} = 0$
177887	Solve for x	square root of x+1 = square root of x+2	$\sqrt{x} + 1 = \sqrt{x + 2}$
177888	Evaluate	pi/1	$\frac{π}{1}$
177889	Graph	f(x)=(x+4)(x-2)^2(x+3)	$f (x) = (x + 4) {(x - 2)}^{2} (x + 3)$
177890	Solve the Inequality for x	6-x>=2x+9	$6 - x \geq 2 x + 9$
177891	Graph	x>=3y	$x \geq 3 y$
177892	Find the Domain and Range	y=(2x^2+5x-3)/(x+3)	$y = \frac{2 x^{2} + 5 x - 3}{x + 3}$
177893	Solve for x	12-5(x+3)=4x-5	$12 - 5 (x + 3) = 4 x - 5$
177894	Solve for a	(ma)/(th)=I+love	$\frac{m a}{t h} = I + l o v e$
177895	Solve the Absolute Value Inequality for x	\|x\|<=7	$\| x \| \leq 7$
177896	Find the x and y Intercepts	R(x)=(14(x-1))/((x+1)(x+7))	$R (x) = \frac{14 (x - 1)}{(x + 1) (x + 7)}$
177897	Graph	-2<x<=5	$- 2 < x \leq 5$
177898	Solve for x	-2/(x^2+x)+(2x)/(x+1)=7/x	$- \frac{2}{x^{2} + x} + \frac{2 x}{x + 1} = \frac{7}{x}$
177899	Simplify the Radical Expression	-16^(1/4)	$- 16^{\frac{1}{4}}$
177900	Solve for x	x/(x+3)+5=9/(x^2+3x)	$\frac{x}{x + 3} + 5 = \frac{9}{x^{2} + 3 x}$