Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229601	Graph	y>=0 y<=1/2x+2 y<-1/2x+2	$y \geq 0$ $y \leq \frac{1}{2} x + 2$ $y < - \frac{1}{2} x + 2$
229602	Describe the Transformation	y=2 cube root of x	$y = 2 \sqrt[3]{x}$
229603	Graph	y>-x^2+x+6	$y > - x^{2} + x + 6$
229604	Evaluate	square root of 25-3x=x-9	$\sqrt{25 - 3 x} = x - 9$
229605	Solve for a	(6y^2)^2(2y^3)^-1=ay^b	${(6 y^{2})}^{2} {(2 y^{3})}^{- 1} = a y^{b}$
229606	Simplify	m^(5/2) square root of 324	$m^{\frac{5}{2}} \sqrt{324}$
229607	Simplify	9/((3d)^-3)	$\frac{9}{{(3 d)}^{- 3}}$
229608	Simplify	8(x-y)+5(x-5y)+6y	$8 (x - y) + 5 (x - 5 y) + 6 y$
229609	Solve the System of Equations	x^2+y^2=1 y=2x+2	$x^{2} + y^{2} = 1$ $y = 2 x + 2$
229610	Solve for b	square root of b=35	$\sqrt{b} = 35$
229611	Solve for a	3a^3-10=-7	$3 a^{3} - 10 = - 7$
229612	Solve for x	2(x^2-4x)-5=2x^2-6x+9	$2 (x^{2} - 4 x) - 5 = 2 x^{2} - 6 x + 9$
229613	Solve for θ	cos(theta)<0	$\cos (θ) < 0$
229614	Solve for x	-9=3x^2-8x-20	$- 9 = 3 x^{2} - 8 x - 20$
229615	Simplify	(x^2y)/(y^-2)	$\frac{x^{2} y}{y^{- 2}}$
229616	Simplify	2 cube root of x^2* square root of 16x	$2 \sqrt[3]{x^{2}} \cdot \sqrt{16 x}$
229617	Solve for t	4(9+3t)-12=-6	$4 (9 + 3 t) - 12 = - 6$
229618	Find the Domain and Range	y=cos(x/2)	$y = \cos (\frac{x}{2})$
229619	Solve for c	5c-5=-5c-7	$5 c - 5 = - 5 c - 7$
229620	Rationalize the Denominator	( square root of 6)/(5+ square root of 3)	$\frac{\sqrt{6}}{5 + \sqrt{3}}$
229621	Simplify	-1/2(1/4x-3/8)	$- \frac{1}{2} (\frac{1}{4} x - \frac{3}{8})$
229622	Solve for x	16=x^4	$16 = x^{4}$
229623	Describe the Transformation	y=-2+ cube root of x	$y = - 2 + \sqrt[3]{x}$
229624	Simplify the Radical Expression	(12x^(7/2))/(3x^2)	$\frac{12 x^{\frac{7}{2}}}{3 x^{2}}$
229625	Combine Like Terms	8+3a+7b-5+2a-7b	$8 + 3 a + 7 b - 5 + 2 a - 7 b$
229626	Divide	x/-1	$\frac{x}{- 1}$
229627	Divide	-x/-1	$- \frac{x}{- 1}$
229628	Simplify	(((x^-8)^(1/4))^-1 cube root of x^2)/( sixth root of x^4)	$\frac{{({(x^{- 8})}^{\frac{1}{4}})}^{- 1} \sqrt[3]{x^{2}}}{\sqrt[6]{x^{4}}}$
229629	Solve the Rational Equation for x	square root of 3x-5 = square root of 2x+25	$\sqrt{3 x - 5} = \sqrt{2 x + 25}$
229630	Solve the Inequality for x	x+(x+1)+(x+2)>60	$x + (x + 1) + (x + 2) > 60$
229631	Simplify	( square root of 24)( square root of 36)	$(\sqrt{24}) (\sqrt{36})$
229632	Convert to Radical Form	(10n)^(3/3)	${(10 n)}^{\frac{3}{3}}$
229633	Evaluate	(6-4(2+3)^2-2+5)^0	${(6 - 4 {(2 + 3)}^{2} - 2 + 5)}^{0}$
229634	Graph	F(x)=1/2 square root of x+3	$F (x) = \frac{1}{2} \sqrt{x} + 3$
229635	Solve the Inequality for x	-2>5+1/3(3x+3/4)-3/4x	$- 2 > 5 + \frac{1}{3} (3 x + \frac{3}{4}) - \frac{3}{4} x$
229636	Find the Domain and Range	f(x)=-3/x-1	$f (x) = - \frac{3}{x} - 1$
229637	Evaluate	(x^-4x^2y^-8)/(y^3)	$\frac{x^{- 4} x^{2} y^{- 8}}{y^{3}}$
229638	Simplify	(1/(a^5))^-4	${(\frac{1}{a^{5}})}^{- 4}$
229639	Simplify the Radical Expression	(32^2x^4y^12)^(1/5)	${(32^{2} x^{4} y^{12})}^{\frac{1}{5}}$
229640	Simplify	((-2t^5)/(at^2))^4	${(\frac{- 2 t^{5}}{a t^{2}})}^{4}$
229641	Graph	y=3+2sin(3)(x+1)	$y = 3 + 2 \sin (3) (x + 1)$
229642	Solve for r	5/9=6/r	$\frac{5}{9} = \frac{6}{r}$
229643	Solve the Inequality for x	7(x+1)<5x+1-4x	$7 (x + 1) < 5 x + 1 - 4 x$
229644	Simplify	square root of fifth root of k^11	$\sqrt{\sqrt[5]{k^{11}}}$
229645	Simplify	(-i square root of 2)(i square root of 2)	$(- i \sqrt{2}) (i \sqrt{2})$
229646	Solve the Rational Equation for x	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
229647	Graph	f(x)=(-5x+20)/(2x^2-32)	$f (x) = \frac{- 5 x + 20}{2 x^{2} - 32}$
229648	Divide	(6y^2+y-2)(2y-1)^-1	$(6 y^{2} + y - 2) {(2 y - 1)}^{- 1}$
229649	Solve the Inequality for n	2(n-1)+4n=2(3n-1)	$2 (n - 1) + 4 n = 2 (3 n - 1)$
229650	Simplify	2(2x-3y)+4(4x)	$2 (2 x - 3 y) + 4 (4 x)$
229651	Evaluate	(4x^3-5x^2+3x)+(-2x^3-x^2+6x)	$(4 x^{3} - 5 x^{2} + 3 x) + (- 2 x^{3} - x^{2} + 6 x)$
229652	Simplify	(4yx^3)/(4x^4y^2)	$\frac{4 y x^{3}}{4 x^{4} y^{2}}$
229653	Find the Holes in the Graph	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
229654	Solve the Inequality for b	7-2/b<=5/b	$7 - \frac{2}{b} \leq \frac{5}{b}$
229655	Solve for x	8x=x-3(10+x)	$8 x = x - 3 (10 + x)$
229656	Solve by Addition/Elimination	y=6x-11 -2x-3y=-7	$y = 6 x - 11$ $- 2 x - 3 y = - 7$
229657	Factor	2x^2(x+1)^2-12x(x+1)	$2 x^{2} {(x + 1)}^{2} - 12 x (x + 1)$
229658	Find the Holes in the Graph	f(x)=-5/(x^2-2x-3)	$f (x) = \frac{- 5}{x^{2} - 2 x - 3}$
229659	Solve for x	x = square root of a^2-a-2	$x = \sqrt{a^{2} - a - 2}$
229660	Subtract	1/(2+x)-(2-x)/x	$\frac{1}{2 + x} - \frac{2 - x}{x}$
229661	Simplify	1/(xy^2)+x	$\frac{1}{x y^{2}} + x$
229662	Combine Like Terms	(2x^2+5x-7)+(3-4x^2+6x)	$(2 x^{2} + 5 x - 7) + (3 - 4 x^{2} + 6 x)$
229663	Evaluate	((3m^2n^7)/m)^5	${(\frac{3 m^{2} n^{7}}{m})}^{5}$
229664	Evaluate	square root of pi/4	$\sqrt{\frac{π}{4}}$
229665	Simplify	m^23m^46a*a^-3	$m^{2} \cdot 3 m^{4} \cdot 6 a \cdot a^{- 3}$
229666	Solve for x	4x-2(3x-2)=3x	$4 x - 2 (3 x - 2) = 3 x$
229667	Simplify	(1/3x+1/4)-(1/2x-2/3)	$(\frac{1}{3} x + \frac{1}{4}) - (\frac{1}{2} x - \frac{2}{3})$
229668	Find the Roots (Zeros)	3x^2-3=0	$3 x^{2} - 3 = 0$
229669	Simplify	(2-3i^3)(1+i)	$(2 - 3 i^{3}) (1 + i)$
229670	Divide Using Long Polynomial Division	(9x^3+6x^2+x+22)/(3x+4)	$\frac{9 x^{3} + 6 x^{2} + x + 22}{3 x + 4}$
229671	Simplify	(tan(x)^2)/(sin(x)^2)-1	$\frac{\tan^{2} (x)}{\sin^{2} (x)} - 1$
229672	Simplify	square root of 2x^3yz^4* square root of 32x^2y^2z^4	$\sqrt{2 x^{3} y z^{4}} \cdot \sqrt{32 x^{2} y^{2} z^{4}}$
229673	Simplify the Radical Expression	( square root of ab)/( square root of a+ square root of b)	$\frac{\sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
229674	Find the Complex Conjugate	square root of 5- square root of 2	$\sqrt{5} - \sqrt{2}$
229675	Simplify	(ab)/( square root of a)	$\frac{a b}{\sqrt{a}}$
229676	Graph	x+2y>=6 x+2y>=-10	$x + 2 y \geq 6$ $x + 2 y \geq - 10$
229677	Find the Domain and Range	y=3 fourth root of x-1	$y = 3 \sqrt[4]{x - 1}$
229678	Evaluate	4/3+(50/7+8/15)	$\frac{4}{3} + (\frac{50}{7} + \frac{8}{15})$
229679	Find the Exact Value	(-1/2)÷(( square root of 3)/2)	$- \frac{1}{2} \div \frac{\sqrt{3}}{2}$
229680	Find the Axis of Symmetry	f(x)=-(x^2+2x-3)	$f (x) = - (x^{2} + 2 x - 3)$
229681	Simplify	(8m^-2n^4)(1/2n^-2)	$(8 m^{- 2} n^{4}) (\frac{1}{2} n^{- 2})$
229682	Simplify the Radical Expression	square root of 11+8 square root of 7-2 square root of 7-6 square root of 11	$\sqrt{11} + 8 \sqrt{7} - 2 \sqrt{7} - 6 \sqrt{11}$
229683	Simplify	(x^2-4)/(5x)*30/(3x-6)	$\frac{x^{2} - 4}{5 x} \cdot \frac{30}{3 x - 6}$
229684	Simplify	( cube root of 5z^7b^4)/( cube root of 25xy)	$\frac{\sqrt[3]{5 z^{7} b^{4}}}{\sqrt[3]{25 x y}}$
229685	Graph	y=(-1/2)^x	$y = {(- \frac{1}{2})}^{x}$
229686	Determine if (0,0) is a Solution	y<4x+5 , (0,0)	$y < 4 x + 5$ , $(0, 0)$
229687	Identify the Sequence	1 , 4 , 9 , 16 , 25 ; dots	$1$ , $4$ , $9$ , $16$ , $25$ ; dots
229688	Simplify	7t+(-3t)-3y	$7 t + (- 3 t) - 3 y$
229689	Solve for b	a=b-18	$a = b - 18$
229690	Solve for x	(8^(2x+4))/(4^(x-3))=4^(x+5)	$\frac{8^{2 x + 4}}{4^{x - 3}} = 4^{x + 5}$
229691	Simplify	(9a^3b+6ab-4)-(10a^3b-6a^2b^2-6)	$(9 a^{3} b + 6 a b - 4) - (10 a^{3} b - 6 a^{2} b^{2} - 6)$
229692	Solve for x	square root of (x+3)/(x+3)=1	$\sqrt{\frac{x + 3}{x + 3}} = 1$
229693	Solve for x	x-1/3=1/6	$x - \frac{1}{3} = \frac{1}{6}$
229694	Simplify	7/12-(4x)/(3x)	$\frac{7}{12} - \frac{4 x}{3 x}$
229695	Evaluate	cube root of 2x=4	$\sqrt[3]{2 x} = 4$
229696	Simplify	(i- square root of 3)^2	${(i - \sqrt{3})}^{2}$
229697	Factor	6x^2-xy^2-2y^2+17x-2y+12	$6 x^{2} - x y^{2} - 2 y^{2} + 17 x - 2 y + 12$
229698	Simplify	((12)(3/4))/((4)(1/4))	$\frac{(12) (\frac{3}{4})}{(4) (\frac{1}{4})}$
229699	Find the Roots (Zeros)	x^6-2x^4-4x^2+8=0	$x^{6} - 2 x^{4} - 4 x^{2} + 8 = 0$
229700	Solve for x	6=x^3-4/x	$6 = x^{3} - \frac{4}{x}$