Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197601	Graph	y = cube root of 1/2x+4	$y = \sqrt[3]{\frac{1}{2} x} + 4$
197602	Expand the Logarithmic Expression	log of x^2y^3 cube root of x^2y^5	$\log (x^{2} y^{3} \sqrt[3]{x^{2} y^{5}})$
197603	Graph	(x^2)/16+(y^2)/25<=1	$\frac{x^{2}}{16} + \frac{y^{2}}{25} \leq 1$
197604	Simplify	4x+1/4(16x-20y)	$4 x + \frac{1}{4} (16 x - 20 y)$
197605	Solve the System of Equations	x=y-3 2x-2y=-6	$x = y - 3$ $2 x - 2 y = - 6$
197606	Simplify the Radical Expression	x square root of x^8	$x \sqrt{x^{8}}$
197607	Evaluate	sin(2theta)=1/2	$\sin (2 θ) = \frac{1}{2}$
197608	Subtract	(11+i)-(4-7i)	$(11 + i) - (4 - 7 i)$
197609	Solve the Absolute Value Inequality for x	(\|4x-12\|)/2=8	$\frac{\| 4 x - 12 \|}{2} = 8$
197610	Graph	y<=1 and y>x	$y \leq 1$ and $y > x$
197611	Find the End Behavior	f(x)=8064+54x^4-648x^2-9x^6+6912x-1332x^3+81x^5	$f (x) = 8064 + 54 x^{4} - 648 x^{2} - 9 x^{6} + 6912 x - 1332 x^{3} + 81 x^{5}$
197612	Evaluate	(e^(2x))^2	${(e^{2 x})}^{2}$
197613	Solve for a	18-6a=4a-4(a+3)	$18 - 6 a = 4 a - 4 (a + 3)$
197614	Evaluate	(x+a)^2	${(x + a)}^{2}$
197615	Factor	x^2+ax^2-y-ay+cx^2-cy	$x^{2} + a x^{2} - y - a y + c x^{2} - c y$
197616	Convert to Rectangular	r^2-2rsin(theta)=0	$r^{2} - 2 r \sin (θ) = 0$
197617	Solve for x	(1/4)^x=8	${(\frac{1}{4})}^{x} = 8$
197618	Solve for x	x^3+x-2=0	$x^{3} + x - 2 = 0$
197619	Graph	2x-4/5y<=3	$2 x - \frac{4}{5} y \leq 3$
197620	Simplify	-x/(x^2)	$- \frac{x}{x^{2}}$
197621	Solve the System of Equations	2x+y=1 -2y+5z=-5 3x+4z=-2	$2 x + y = 1$ $- 2 y + 5 z = - 5$ $3 x + 4 z = - 2$
197622	Solve for x	5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x	$5 (x - 3) + 7 (2 - x) - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$
197623	Write in y=mx+b Form	4x+16-8y=0	$4 x + 16 - 8 y = 0$
197624	Simplify	-1/2+1/6	$- \frac{1}{2} + \frac{1}{6}$
197625	Simplify	2m-(n-(m-2n))	$2 m - (n - (m - 2 n))$
197626	Find the x and y Intercepts	y=(2x)/(x-1)	$y = \frac{2 x}{x - 1}$
197627	Solve for x	-7/(6x)+5/(4x)=2	$- \frac{7}{6 x} + \frac{5}{4 x} = 2$
197628	Solve for y	6+1/3y=10+12x	$6 + \frac{1}{3} y = 10 + 12 x$
197629	Find f(g(x))	f(x) = square root of x+4 , g(x)=x^2-4	$f (x) = \sqrt{x + 4}$ , $g (x) = x^{2} - 4$
197630	Solve for r	1/2r^2-10=3/2r^2	$\frac{1}{2} r^{2} - 10 = \frac{3}{2} r^{2}$
197631	Solve for x	(x-3)^(2x-1)=(x-3)^(x+1)	${(x - 3)}^{2 x - 1} = {(x - 3)}^{x + 1}$
197632	Find the Domain and Range	y = log base 3 of 2x-6+3	$y = \log_{3} (2 x - 6) + 3$
197633	Solve the System of Equations	2x+y-z=9 x-2y+z=-1 -x+2y+2z=-5	$2 x + y - z = 9$ $x - 2 y + z = - 1$ $- x + 2 y + 2 z = - 5$
197634	Find the Points of Intersection	3x+2y-4=0 y=(x/2)-2	$3 x + 2 y - 4 = 0$ $y = (\frac{x}{2}) - 2$
197635	Find g(f(x))	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
197636	Simplify	2 square root of xy-6 square root of xy+ square root of xy	$2 \sqrt{x y} - 6 \sqrt{x y} + \sqrt{x y}$
197637	Solve the Inequality for x	((x+6)*(x-2))/(x+1)<=0	$\frac{(x + 6) \cdot (x - 2)}{x + 1} \leq 0$
197638	Solve the System of Equations	y=x^2-4 y=5	$y = x^{2} - 4$ $y = 5$
197639	Simplify	(7x^2)/(12w)-(3x^2)/(12w)	$\frac{7 x^{2}}{12 w} - \frac{3 x^{2}}{12 w}$
197640	Simplify	(-3n+12)/(84n^2+76n+16)	$\frac{- 3 n + 12}{84 n^{2} + 76 n + 16}$
197641	Find the Roots (Zeros)	2x^2+4x=16	$2 x^{2} + 4 x = 16$
197642	Solve for x	square root of x^2-6x-6-3=4	$\sqrt{x^{2} - 6 x - 6} - 3 = 4$
197643	Simplify	-3/(-3/x)	$- \frac{3}{- \frac{3}{x}}$
197644	Solve for u	2(u-9)=4	$2 (u - 9) = 4$
197645	Write the Fraction in Simplest Form	(-5)^-3	${(- 5)}^{- 3}$
197646	Simplify	7x+6x^2-5x+8x^3+3x-4x^2	$7 x + 6 x^{2} - 5 x + 8 x^{3} + 3 x - 4 x^{2}$
197647	Write as a Single Logarithm	7* natural log of a-4* natural log of b	$7 \cdot \ln (a) - 4 \cdot \ln (b)$
197648	Find the First Term	a_n=n^2-3	$a_{n} = n^{2} - 3$
197649	Graph	y(x)=\|5x-3\|+4	$y (x) = \| 5 x - 3 \| + 4$
197650	Solve for x	-3(x^2-49)(x^2+25)=0	$- 3 (x^{2} - 49) (x^{2} + 25) = 0$
197651	Solve for y	2x-yi=14+12i	$2 x - y i = 14 + 12 i$
197652	Factor by Grouping	a^3-a^2c-ba^2+abc	$a^{3} - a^{2} c - b a^{2} + a b c$
197653	Solve for y	y-13<=-15	$y - 13 \leq - 15$
197654	Graph	x^2+3>y	$x^{2} + 3 > y$
197655	Solve for h	(h-6)/9=(h+9)/4	$\frac{h - 6}{9} = \frac{h + 9}{4}$
197656	Solve for x	(3x-6)/7-(3x+3)/10=9/70	$\frac{3 x - 6}{7} - \frac{3 x + 3}{10} = \frac{9}{70}$
197657	Simplify	((x^2)/(y^2)-1)/(x/y+1)	$\frac{\frac{x^{2}}{y^{2}} - 1}{\frac{x}{y} + 1}$
197658	Solve for x	( log base 3 of x)^2-( log base 3 of x)=12	${\log_{3}}^{2} (x) - (\log_{3} (x)) = 12$
197659	Solve the System of Inequalities	4x-39>-43 ; AND , 8x+31<23	$4 x - 39 > - 43$ ; AND , $8 x + 31 < 23$
197660	Solve Using the Quadratic Formula	4/(x-3)+x/2=-2	$\frac{4}{x - 3} + \frac{x}{2} = - 2$
197661	Solve for x	log base 4 of 4x^2+1- log base 4 of x+4=0	$\log_{4} (4 x^{2} + 1) - \log_{4} (x + 4) = 0$
197662	Simplify	( cube root of a^10b^16)/( cube root of a^5b^4)	$\frac{\sqrt[3]{a^{10} b^{16}}}{\sqrt[3]{a^{5} b^{4}}}$
197663	Divide	(-5/2)÷(-15/17)	$- \frac{5}{2} \div (- \frac{15}{17})$
197664	Solve the Inequality for x	4/3x<-8	$\frac{4}{3} x < - 8$
197665	Solve for w	-1/5=w-4/5	$- \frac{1}{5} = w - \frac{4}{5}$
197666	Simplify	square root of 2^4* square root of 5	$\sqrt{2^{4}} \cdot \sqrt{5}$
197667	Subtract	(x+2)/x-(x+3)	$\frac{x + 2}{x} - (x + 3)$
197668	Solve for x	-3x(4x^2-9)(x^2-14)=0	$- 3 x (4 x^{2} - 9) (x^{2} - 14) = 0$
197669	Solve for x	-3(7x+1.4)-7.9=x	$- 3 (7 x + 1.4) - 7.9 = x$
197670	Find the Roots (Zeros)	P(x)=0	$P (x) = 0$
197671	Solve the Inequality for x	\|2x-1\|=3	$\| 2 x - 1 \| = 3$
197672	Graph Using a Table of Values	y=-x^2-2x+3	$y = - x^{2} - 2 x + 3$
197673	Find the x and y Intercepts	f(x)=(x+3)(4x^2-1)	$f (x) = (x + 3) (4 x^{2} - 1)$
197674	Solve for y	(x+yi)+(4-7i)=3-4i	$(x + y i) + (4 - 7 i) = 3 - 4 i$
197675	Simplify	((x+y)^-1)/(x^-1+y^-1)	$\frac{{(x + y)}^{- 1}}{x^{- 1} + y^{- 1}}$
197676	Evaluate	1/2(9.8)(3)^2	$\frac{1}{2} (9.8) {(3)}^{2}$
197677	Evaluate the Function	f(x-8) = square root of (x-8)+8+2	$f (x - 8) = \sqrt{(x - 8) + 8} + 2$
197678	Evaluate	-x*(-x)	$- x \cdot (- x)$
197679	Solve by Factoring	1/x-x/6=2/3	$\frac{1}{x} - \frac{x}{6} = \frac{2}{3}$
197680	Multiply	(11ab^2)/(2c)*(10c)/(33ab)	$\frac{11 a b^{2}}{2 c} \cdot \frac{10 c}{33 a b}$
197681	Solve the Inequality for x	\|x/3+9\|<15	$\| \frac{x}{3} + 9 \| < 15$
197682	Graph	y=-x^3+2x^2+x-2	$y = - x^{3} + 2 x^{2} + x - 2$
197683	Solve the Inequality for x	-53<9x+1<-26	$- 53 < 9 x + 1 < - 26$
197684	Solve for x	3x+2(x-4)=4(x-1)+x	$3 x + 2 (x - 4) = 4 (x - 1) + x$
197685	Solve for a	4/(a-2)=3	$\frac{4}{a - 2} = 3$
197686	Simplify	(2x+1)/(x^2+4x+4)-(6x)/(x^2-4)+3/(x-2)	$\frac{2 x + 1}{x^{2} + 4 x + 4} - \frac{6 x}{x^{2} - 4} + \frac{3}{x - 2}$
197687	Evaluate	(7*5)÷5	$(7 \times 5) \div 5$
197688	Factor	x^6-3x^5+2x^2-6x	$x^{6} - 3 x^{5} + 2 x^{2} - 6 x$
197689	Solve the Absolute Value Inequality for m	(\|6-2m\|)/-4-7=-19	$\frac{\| 6 - 2 m \|}{- 4} - 7 = - 19$
197690	Factor	3(x+2y)^2-13x(x+2y)+4x^2	$3 {(x + 2 y)}^{2} - 13 x (x + 2 y) + 4 x^{2}$
197691	Solve for c	\|c+3\|=15	$\| c + 3 \| = 15$
197692	Solve for F	5F-9C=160	$5 F - 9 C = 160$
197693	Solve the Inequality for x	-3x<=-3x	$- 3 x \leq - 3 x$
197694	Solve for d	a=(pid^2)/4	$a = \frac{π d^{2}}{4}$
197695	Simplify	(x+2 square root of 3i)(x-2 square root of 3i)	$(x + 2 \sqrt{3} i) (x - 2 \sqrt{3} i)$
197696	Solve for x	x+10=3(x-1)^2	$x + 10 = 3 {(x - 1)}^{2}$
197697	Graph	f(x)=-1x	$f (x) = - 1 x$
197698	Solve for n	\|3n-2\|-2<1	$\| 3 n - 2 \| - 2 < 1$
197699	Expand the Logarithmic Expression	log base b of (4^2x^3)/y	$\log_{b} (\frac{4^{2} x^{3}}{y})$
197700	Solve the System of Equations	-x+y=-7 -3x+4y=-27	$- x + y = - 7$ $- 3 x + 4 y = - 27$