Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228401	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,4) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 4, 4)$ and has a slope of $- 2$ ?
228402	Solve for b	y=2x^2+bx+c	$y = 2 x^{2} + b x + c$
228403	Simplify	x/(x+3)-(4(x+3))/(x-1)	$\frac{x}{(x + 3)} - \frac{4 (x + 3)}{(x - 1)}$
228404	Simplify	x^4y^5*x^-6	$x^{4} y^{5} \cdot x^{- 6}$
228405	Find the Excluded Values	(x^2-25)/(3-x)*(x-3)/(x+5)	$\frac{x^{2} - 25}{3 - x} \cdot \frac{x - 3}{x + 5}$
228406	Solve for w	-1/4w-3=w+1/3	$- \frac{1}{4} w - 3 = w + \frac{1}{3}$
228407	Graph	-2<=x/4-6<6	$- 2 \leq \frac{x}{4} - 6 < 6$
228408	Solve for n	n+n+n+n=16	$n + n + n + n = 16$
228409	Simplify	square root of 6c^9* square root of 2mc	$\sqrt{6 c^{9}} \cdot \sqrt{2 m c}$
228410	Graph	Graph the line with the equation y=-x-6	Graph the line with the equation $y = - x - 6$
228411	Solve for vբ	m_1v_1+m_2v_2=m_1v_f+m_2v_f	$m_{1} v_{1} + m_{2} v_{2} = m_{1} v_{f} + m_{2} v_{f}$
228412	Graph	f(x)=-3/4 cube root of x+1	$f (x) = - \frac{3}{4} \sqrt[3]{x + 1}$
228413	Evaluate Using the Given Value	7m+3mn when m=8 and n=14	$7 m + 3 m n$ when $m = 8$ and $n = 14$
228414	Simplify	(y3/4)(y1/4)	$(y \frac{3}{4}) (y \frac{1}{4})$
228415	Multiply	4(2x+1)(3x-1)	$4 (2 x + 1) (3 x - 1)$
228416	Solve for t	tan(3t+pi/2)^2=1/3	$\tan^{2} (3 t + \frac{π}{2}) = \frac{1}{3}$
228417	Find the LCD	8/(4x+5) and 1/x	$\frac{8}{4 x + 5}$ and $\frac{1}{x}$
228418	Find the LCD	6/(x-9) and 2/(x+9)	$\frac{6}{x - 9}$ and $\frac{2}{x + 9}$
228419	Solve for y	6/(3y-18)-3=2/(y-6)	$\frac{6}{3 y - 18} - 3 = \frac{2}{y - 6}$
228420	Solve for x	log base 9 of square root of 10x+5-1/2 = log base 9 of square root of x+1	$\log_{9} (\sqrt{10 x + 5}) - \frac{1}{2} = \log_{9} (\sqrt{x + 1})$
228421	Simplify the Radical Expression	- square root of 64- square root of -50+ square root of 36- square root of -32	$- \sqrt{64} - \sqrt{- 50} + \sqrt{36} - \sqrt{- 32}$
228422	Evaluate	(-3p^3+5p^2-2p)+(-p^3-8p^2-15p)	$(- 3 p^{3} + 5 p^{2} - 2 p) + (- p^{3} - 8 p^{2} - 15 p)$
228423	Solve the Inequality for x	2+ square root of 5x-1>5	$2 + \sqrt{5 x - 1} > 5$
228424	Simplify	( square root of 5)/( square root of 2)*( square root of 2)/( square root of 2)	$\frac{\sqrt{5}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
228425	Simplify	(72x^3y^2)÷12x^3y	$72 x^{3} y^{2} \div 12 x^{3} y$
228426	Solve the Inequality for x	(4-x)/(x+3)>0	$\frac{4 - x}{x + 3} > 0$
228427	Evaluate	(x/2)((x+2)/3)	$(\frac{x}{2}) (\frac{x + 2}{3})$
228428	Solve for x	x(8+2)+3=2(5+x)+5(x+1)-6	$x (8 + 2) + 3 = 2 (5 + x) + 5 (x + 1) - 6$
228429	Simplify	( square root of 7x^5y)÷( square root of 28xy^3)	$\sqrt{7 x^{5} y} \div \sqrt{28 x y^{3}}$
228430	Evaluate	((2*4)^2-2^4)/-12	$\frac{{(2 \cdot 4)}^{2} - 2^{4}}{- 12}$
228431	Solve the Rational Equation for x	square root of x-2 = square root of x-10	$\sqrt{x} - 2 = \sqrt{x - 10}$
228432	Divide	( square root of 10)÷( cube root of 2)	$\sqrt{10} \div \sqrt[3]{2}$
228433	Evaluate	3/5(-1)^(5/3)	$\frac{3}{5} {(- 1)}^{\frac{5}{3}}$
228434	Multiply	-5(2x^2+9x)	$- 5 (2 x^{2} + 9 x)$
228435	Simplify	( cube root of 27xy)/(xy^(-1/2))	$\frac{\sqrt[3]{27 x y}}{x y^{- \frac{1}{2}}}$
228436	Rationalize the Denominator	(3x)/( fourth root of 27x^2)	$\frac{3 x}{\sqrt[4]{27 x^{2}}}$
228437	Simplify	(1.3a^6b^11c^5)(0.5a^2bc^3)	$(1.3 a^{6} b^{11} c^{5}) (0.5 a^{2} b c^{3})$
228438	Simplify	(-7-x^4)+(6x-7x^4)+(-8+7x)	$(- 7 - x^{4}) + (6 x - 7 x^{4}) + (- 8 + 7 x)$
228439	Evaluate	(1/(3y^3))^-3	${(\frac{1}{3 y^{3}})}^{- 3}$
228440	Solve the Absolute Value Inequality for x	-4\|x-7\|+5=-19	$- 4 \| x - 7 \| + 5 = - 19$
228441	Simplify	60/(( square root of 3)( square root of 12))	$\frac{60}{(\sqrt{3}) (\sqrt{12})}$
228442	Evaluate the Function	f(3)=2(0.75)^3	$f (3) = 2 {(0.75)}^{3}$
228443	Solve by Graphing	y=-4/9x-3 y=-7/5x-3	$y = - \frac{4}{9} x - 3$ $y = - \frac{7}{5} x - 3$
228444	Graph	y>2x 3 y>=2x-2	$y > 2 x$ $3$ $y \geq 2 x - 2$
228445	Simplify	kp(x+1)-kp	$k p (x + 1) - k p$
228446	Solve for x	(8x+7)/6+(3-2x)/4-(5x-2)/2=32	$\frac{(8 x + 7)}{6} + \frac{(3 - 2 x)}{4} - \frac{(5 x - 2)}{2} = 32$
228447	Solve for x	square root of 25 = square root of x^2	$\sqrt{25} = \sqrt{x^{2}}$
228448	Simplify	( fifth root of x^2)/( fifth root of x)	$\frac{\sqrt[5]{x^{2}}}{\sqrt[5]{x}}$
228449	Evaluate	((-4)^33^712)/(6^6*2^5)	$\frac{{(- 4)}^{3} \cdot 3^{7} \cdot 12}{6^{6} \cdot 2^{5}}$
228450	Find the Domain and Range	- cube root of x+4-2	$- \sqrt[3]{x + 4} - 2$
228451	Find the Inverse	f(x)=4 seventh root of x-8+5	$f (x) = 4 \sqrt[7]{x - 8} + 5$
228452	Simplify	x^4y^2xy^-7x^-3	$x^{4} y^{2} \cdot x y^{- 7} \cdot x^{- 3}$
228453	Evaluate	2x^(2/3)=8	$2 x^{\frac{2}{3}} = 8$
228454	Simplify	limit as x approaches 5 of (x^2-2x-15)/(x^2-10x+25)	$lim_{x \to 5} \frac{x^{2} - 2 x - 15}{x^{2} - 10 x + 25}$
228455	Simplify	(2+3/x)/(1-4/(x^2))	$\frac{2 + \frac{3}{x}}{1 - \frac{4}{x^{2}}}$
228456	Find the 7th Term	16/9 , 8/3 , 4 , 6 , 9	$\frac{16}{9}$ , $\frac{8}{3}$ , $4$ , $6$ , $9$
228457	Solve for x	x^2+px+q=(x-13)(x+1)	$x^{2} + p x + q = (x - 13) (x + 1)$
228458	Simplify	(2x)(x^5)/(x^2)	$(2 x) \frac{x^{5}}{x^{2}}$
228459	Graph	y=-1/2cos(pi/3x)	$y = - \frac{1}{2} \cos (\frac{π}{3} x)$
228460	Simplify the Radical Expression	( square root of 27)/( square root of 48)	$\frac{\sqrt{27}}{\sqrt{48}}$
228461	Evaluate	(22y^6z^8)/(2yz^-7)	$\frac{22 y^{6} z^{8}}{2 y z^{- 7}}$
228462	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+13x^2+11x+1 is divided by x+1	Use the long division method to find the result when $3 x^{3} + 13 x^{2} + 11 x + 1$ is divided by $x + 1$
228463	Solve the Inequality for x	20>2/3\|6+x\|+6	$20 > \frac{2}{3} \| 6 + x \| + 6$
228464	Simplify	3 fourth root of 256+- cube root of 64+ square root of 169	$3 \sqrt[4]{256} + - \sqrt[3]{64} + \sqrt{169}$
228465	Simplify	square root of -6x* square root of 21x^3	$\sqrt{- 6 x} \cdot \sqrt{21 x^{3}}$
228466	Graph	f(x)=(8x^2)/(x^4+16)	$f (x) = \frac{8 x^{2}}{x^{4} + 16}$
228467	Graph	y=tan(1/2)(x-pi/4)	$y = \tan (\frac{1}{2}) (x - \frac{π}{4})$
228468	Find All Complex Solutions	-5(-2-8m)=10+5m	$- 5 (- 2 - 8 m) = 10 + 5 m$
228469	Graph	8x+4y>=10 3x-6y>12	$8 x + 4 y \geq 10$ $3 x - 6 y > 12$
228470	Solve the Rational Equation for x	cube root of 2x-5=3	$\sqrt[3]{2 x - 5} = 3$
228471	Solve the Inequality for x	99-5x>=4x	$99 - 5 x \geq 4 x$
228472	Simplify the Radical Expression	(112/7)^(-1/4)	${(\frac{112}{7})}^{- \frac{1}{4}}$
228473	Graph	y>1/4x+5 y<=1/4x+2	$y > \frac{1}{4} x + 5$ $y \leq \frac{1}{4} x + 2$
228474	Evaluate	tan(x)+ square root of 3=0	$\tan (x) + \sqrt{3} = 0$
228475	Multiply	2x(3x^3+5y)	$2 x (3 x^{3} + 5 y)$
228476	Find the Holes in the Graph	y=(x-2)/(x^2-4)	$y = \frac{x - 2}{x^{2} - 4}$
228477	Find the x and y Intercepts	f(x)=-(x-3)^2(x^2+16)(x^2-6)	$f (x) = - {(x - 3)}^{2} (x^{2} + 16) (x^{2} - 6)$
228478	Identify the Sequence	125 , 25 , 5 ; dots	$125$ , $25$ , $5$ ; dots
228479	Evaluate	(81^7-27^9-9^13)/45	$\frac{81^{7} - 27^{9} - 9^{13}}{45}$
228480	Solve the System of Equations	2y-4x=-4 y=-2+2x	$2 y - 4 x = - 4$ $y = - 2 + 2 x$
228481	Find the LCD	9/(x-11) and 5/(x+11)	$\frac{9}{x - 11}$ and $\frac{5}{x + 11}$
228482	Simplify	( square root of 2)/2( square root of 2)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2}$
228483	Simplify	-1/9(5G-3)+2/9G	$- \frac{1}{9} (5 G - 3) + \frac{2}{9} G$
228484	Graph	3x-15<0	$3 x - 15 < 0$
228485	Graph	x+y>4 x-y<6	$x + y > 4$ $x - y < 6$
228486	Solve the System of Equations	y=x -2x-5y=35	$y = x$ $- 2 x - 5 y = 35$
228487	Simplify	( cube root of m^6)( cube root of 32m^3)	$(\sqrt[3]{m^{6}}) (\sqrt[3]{32 m^{3}})$
228488	Solve for x	7^(x-5)=49x	$7^{x - 5} = 49 x$
228489	Simplify	( square root of 8-2 square root of 2)( square root of 2+2 square root of 8)	$(\sqrt{8} - 2 \sqrt{2}) (\sqrt{2} + 2 \sqrt{8})$
228490	Evaluate	((2^2x^2)/(xy^2))^2	${(\frac{2^{2} x^{2}}{x y^{2}})}^{2}$
228491	Evaluate	( square root of 2)/2*(-( square root of 2)/2)	$\frac{\sqrt{2}}{2} \cdot (- \frac{\sqrt{2}}{2})$
228492	Simplify	((x^2-4)/(16-x^2))((16-4x)/(4x+8))	$(\frac{x^{2} - 4}{16 - x^{2}}) (\frac{16 - 4 x}{4 x + 8})$
228493	Simplify	(x+x/y)/(y-y/x)	$\frac{x + \frac{x}{y}}{y - \frac{y}{x}}$
228494	Solve the System of Equations	x^2+y^2=100 y=-1/7x+50/7	$x^{2} + y^{2} = 100$ $y = - \frac{1}{7} x + \frac{50}{7}$
228495	Solve for j	-4(8j-12)=4(-6-17j)	$- 4 (8 j - 12) = 4 (- 6 - 17 j)$
228496	Evaluate	x/12=34	$\frac{x}{12} = 34$
228497	Find the Domain and Range	y=1/2sin(3x)	$y = \frac{1}{2} \sin (3 x)$
228498	Simplify	(a^(1/2)*b^(1/3))^(1/2)	${(a^{\frac{1}{2}} \cdot b^{\frac{1}{3}})}^{\frac{1}{2}}$
228499	Solve for p	S=(r-p)/3	$S = \frac{r - p}{3}$
228500	Find the LCM	9x^2-16 and 3x^2+x-4	$9 x^{2} - 16$ and $3 x^{2} + x - 4$