Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179301	Solve the Inequality for x	(7x+6)/2<=3x+2	$\frac{7 x + 6}{2} \leq 3 x + 2$
179302	Find the Midpoint	(8,7) and (5,4)	$(8, 7)$ and $(5, 4)$
179303	Solve the Inequality for n	5-2n>8-4n	$5 - 2 n > 8 - 4 n$
179304	Solve for u	s=ut+1/2at^2	$s = u t + \frac{1}{2} a t^{2}$
179305	Simplify	3b+b-2b	$3 b + b - 2 b$
179306	Simplify	(r+6)^2+(14r-11+r^2)	${(r + 6)}^{2} + (14 r - 11 + r^{2})$
179307	Simplify	(9x^2y^3)/(24a^2x^3y^4)	$\frac{9 x^{2} y^{3}}{24 a^{2} x^{3} y^{4}}$
179308	Simplify the Radical Expression	x^4 square root of x^10	$x^{4} \sqrt{x^{10}}$
179309	Graph	y=-e^(x-5)	$y = - e^{x - 5}$
179310	Simplify	square root of 25c^2-16c^2	$\sqrt{25 c^{2} - 16 c^{2}}$
179311	Solve for a	7(ay^2+by-3)=14y^2-7y-21	$7 (a y^{2} + b y - 3) = 14 y^{2} - 7 y - 21$
179312	Solve for x	x/3-1/(x-2)<(x+1)/4	$\frac{x}{3} - \frac{1}{x - 2} < \frac{x + 1}{4}$
179313	Graph	{x\|x<4}	${x \| x < 4}$
179314	Graph	y+1>=2x	$y + 1 \geq 2 x$
179315	Rationalize the Denominator	( square root of 8)/(3- square root of 2)	$\frac{\sqrt{8}}{3 - \sqrt{2}}$
179316	Solve for x	333=5230(0.95)^x-217	$333 = 5230 {(0.95)}^{x} - 217$
179317	Simplify	2(n+2n-5)	$2 (n + 2 n - 5)$
179318	Find the LCM	3 and 5	$3$ and $5$
179319	Solve the Inequality for x	x^2-7x+6>=0	$x^{2} - 7 x + 6 \geq 0$
179320	Simplify	5x-12y+8x+2x^2+4x^2	$5 x - 12 y + 8 x + 2 x^{2} + 4 x^{2}$
179321	Find the x and y Intercepts	f(x)=x/(x^2+6x)	$f (x) = \frac{x}{x^{2} + 6 x}$
179322	Simplify	3+ square root of -16	$3 + \sqrt{- 16}$
179323	Graph	y=(4-x)^3	$y = {(4 - x)}^{3}$
179324	Find the Function	f(x)=5-x	$f (x) = 5 - x$
179325	Solve for f	k=5/9(f+459.67)	$k = \frac{5}{9} (f + 459.67)$
179326	Evaluate	-\|-9-10\|+(12^2)÷6*3	$- \| - 9 - 10 \| + 12^{2} \div 6 \cdot 3$
179327	Find f(g(x))	f(x)=x-4 and g(x)=5x^2-2	$f (x) = x - 4$ and $g (x) = 5 x^{2} - 2$
179328	Graph Using a Table of Values	f(x)=-2x-3	$f (x) = - 2 x - 3$
179329	Solve for n	-3(n+4)+n=-2(n+6)	$- 3 (n + 4) + n = - 2 (n + 6)$
179330	Solve for x	square root of 1+x square root of x^2+24=x+1	$\sqrt{1 + x \sqrt{x^{2} + 24}} = x + 1$
179331	Solve for k	k*0.8k+2m=3m+k	$k \cdot 0.8 k + 2 m = 3 m + k$
179332	Find the Inverse	f(x)=(x+2)^(1/5)	$f (x) = {(x + 2)}^{\frac{1}{5}}$
179333	Solve the System of Inequalities	-x-7<-14 or -x-7<-17	$- x - 7 < - 14$ or $- x - 7 < - 17$
179334	Solve the Inequality for x	5^(x+3)>=25	$5^{x + 3} \geq 25$
179335	Solve the Rational Equation for x	x-6/x=-5	$x - \frac{6}{x} = - 5$
179336	Write in Standard Form	(x+3)^3	${(x + 3)}^{3}$
179337	Solve for x	(2x)/5+5x=16/15	$\frac{2 x}{5} + 5 x = \frac{16}{15}$
179338	Find f(g(x))	f(x)=2/x g(x)=2/x	$f (x) = \frac{2}{x}$ $g (x) = \frac{2}{x}$
179339	Divide	(x^2+5xy+6y^2)/(x+2y)	$\frac{x^{2} + 5 x y + 6 y^{2}}{x + 2 y}$
179340	Simplify	((9x^2-4)/(5x^2-3x-14))÷((3x-2)/(3x-6))	$\frac{9 x^{2} - 4}{5 x^{2} - 3 x - 14} \div \frac{3 x - 2}{3 x - 6}$
179341	Graph	y=3/2cos(x-pi/4)	$y = \frac{3}{2} \cos (x - \frac{π}{4})$
179342	Simplify	square root of (4e)/(3f)	$\sqrt{\frac{4 e}{3 f}}$
179343	Find All Complex Solutions	2^x=8	$2^{x} = 8$
179344	Find the Holes in the Graph	h(x)=(x+3)/(x(x+2))	$h (x) = \frac{x + 3}{x (x + 2)}$
179345	Simplify	square root of 2( square root of 20+ square root of 8)	$\sqrt{2} (\sqrt{20} + \sqrt{8})$
179346	Graph	(x)	$(x)$
179347	Evaluate	(6!10!)/(8!8!)	$\frac{6! 10!}{8! 8!}$
179348	Solve the Inequality for x	-2x<6	$- 2 x < 6$
179349	Find the Holes in the Graph	f(x)=(2x-10)/(5x^2-51x+10)	$f (x) = \frac{2 x - 10}{5 x^{2} - 51 x + 10}$
179350	Solve the Inequality for x	3x^2+16x<-5	$3 x^{2} + 16 x < - 5$
179351	Simplify	2^5*6^-5	$2^{5} \cdot 6^{- 5}$
179352	Solve for h	8h+5-3h=8h-4	$8 h + 5 - 3 h = 8 h - 4$
179353	Solve the Rational Equation for x	1/(x^2)-16=0	$\frac{1}{x^{2}} - 16 = 0$
179354	Solve the Inequality for x	12+x>=3(x-6)	$12 + x \geq 3 (x - 6)$
179355	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+4)^2(x-2)^5(x-1)	$f (x) = {(x + 4)}^{2} {(x - 2)}^{5} (x - 1)$
179356	Find the Domain and Range	f(x) = square root of x^2-9	$f (x) = \sqrt{x^{2}} - 9$
179357	Graph	y=2^(\|x\|)	$y = 2^{\| x \|}$
179358	Solve the Absolute Value Inequality for x	\|x-4\|<3	$\| x - 4 \| < 3$
179359	Find the Exact Value	(5+2(4-2*1))	$(5 + 2 (4 - 2 \cdot 1))$
179360	Simplify	(x^5-3ay^2)^2	${(x^{5} - 3 a y^{2})}^{2}$
179361	Solve for x	a/b(2x-12)=c/d	$\frac{a}{b} (2 x - 12) = \frac{c}{d}$
179362	Simplify	(x^2-81)/(x^2+10x+9)*(x^2+8x+7)/(x^2-2x-63)	$\frac{x^{2} - 81}{x^{2} + 10 x + 9} \cdot \frac{x^{2} + 8 x + 7}{x^{2} - 2 x - 63}$
179363	Divide	x^2-x-6 by x-3	$x^{2} - x - 6$ by $x - 3$
179364	Simplify	(x(x-4)^2)/(x^2-5x+4)*(6x^2-60x+54)/(6x^3-78x^2+216x)	$\frac{x {(x - 4)}^{2}}{x^{2} - 5 x + 4} \cdot \frac{6 x^{2} - 60 x + 54}{6 x^{3} - 78 x^{2} + 216 x}$
179365	Graph	y=a/x	$y = \frac{a}{x}$
179366	Evaluate	((-1)^2+(-1)-12)/((-1)^2-4)	$\frac{{(- 1)}^{2} + (- 1) - 12}{{(- 1)}^{2} - 4}$
179367	Solve the Rational Equation for x	(x+1)/(x+3)<=2	$\frac{x + 1}{x + 3} \leq 2$
179368	Simplify	i(-i)	$i (- i)$
179369	Divide	1 1/2÷6	$1 \frac{1}{2} \div 6$
179370	Solve for z	2\|z+1\|-3=z-2	$2 \| z + 1 \| - 3 = z - 2$
179371	Divide	1 3/4÷(1/4)	$1 \frac{3}{4} \div \frac{1}{4}$
179372	Write in Standard Form	-x^2+7-6x=2	$- x^{2} + 7 - 6 x = 2$
179373	Evaluate	\|-7^2+3^24\|+18÷25	$\| - 7^{2} + 3^{2} \cdot 4 \| + 18 \div 2 \cdot 5$
179374	Simplify	(8^(1/3))^2	${(8^{\frac{1}{3}})}^{2}$
179375	Solve for p	9+p/8=7	$9 + \frac{p}{8} = 7$
179376	Find the x and y Intercepts	(x+4)(-x+2)=y	$(x + 4) (- x + 2) = y$
179377	Multiply	(2x^3-3x^2+5x-3)*3x^2	$(2 x^{3} - 3 x^{2} + 5 x - 3) \cdot 3 x^{2}$
179378	Solve for θ	cos(2theta)+10sin(theta)^2=5	$\cos (2 θ) + 10 \sin^{2} (θ) = 5$
179379	Solve for a	7(2a-3)-5a=-3	$7 (2 a - 3) - 5 a = - 3$
179380	Factor	ax+by+ay+bx	$a x + b y + a y + b x$
179381	Solve for θ	cos(2theta)=1/2	$\cos (2 θ) = \frac{1}{2}$
179382	Solve for n	(n+5)/(n+8)=1+6/(n+1)	$\frac{n + 5}{n + 8} = 1 + \frac{6}{n + 1}$
179383	Graph	f^-1(x) = cube root of x+8	$f^{- 1} (x) = \sqrt[3]{x + 8}$
179384	Graph	y>=-3/2x-3 y>=1/2x+5	$y \geq - \frac{3}{2} x - 3$ $y \geq \frac{1}{2} x + 5$
179385	Solve for x	natural log of 3x+2=1+ natural log of 2x	$\ln (3 x + 2) = 1 + \ln (2 x)$
179386	Simplify	8 square root of 2*8 square root of 2	$8 \sqrt{2} \cdot 8 \sqrt{2}$
179387	Solve for x	square root of 3x-6 = square root of 5x-4	$\sqrt{3 x - 6} = \sqrt{5 x - 4}$
179388	Graph	f(x)=(-2x^3-8x^2)/(x^3+x^2-6x)	$f (x) = \frac{- 2 x^{3} - 8 x^{2}}{x^{3} + x^{2} - 6 x}$
179389	Write in Standard Form	-5x+4x^2+15=-2	$- 5 x + 4 x^{2} + 15 = - 2$
179390	Multiply	(3x^2+x-2)(-4x^2-2x-1)	$(3 x^{2} + x - 2) (- 4 x^{2} - 2 x - 1)$
179391	Graph	y=\|1-(3x)/4\|-7	$y = \| 1 - \frac{3 x}{4} \| - 7$
179392	Find the First Term	a_n=n+3	$a_{n} = n + 3$
179393	Solve for w	7(w+8)=2w+10	$7 (w + 8) = 2 w + 10$
179394	Solve the Inequality for x	x-2>3	$x - 2 > 3$
179395	Find All Complex Solutions	square root of 2cos(theta)^2-cos(theta)=0	$\sqrt{2} \cos^{2} (θ) - \cos (θ) = 0$
179396	Solve by Completing the Square	0=2x^2+8x-24	$0 = 2 x^{2} + 8 x - 24$
179397	Multiply	(19 square root of 9m^4)(4 square root of 10m^2)	$(19 \sqrt{9 m^{4}}) (4 \sqrt{10 m^{2}})$
179398	Solve for a	( square root of x^3)/((x^(1/2))^3)=x^a	$\frac{\sqrt{x^{3}}}{{(x^{\frac{1}{2}})}^{3}} = x^{a}$
179399	Graph	f(x)=x^2+4x if x<-3; 2 if x>=-3	$f (x) = {\begin{cases} x^{2} + 4 x & x < - 3 \\ 2 & x \geq - 3 \end{cases}$
179400	Solve for x	x-(2x+3)/(x+1)=x/(x+1)	$x - \frac{2 x + 3}{x + 1} = \frac{x}{x + 1}$