Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237801	Evaluate	f(x)=2(-2)^(3(-2)+4)	$f (x) = 2 {(- 2)}^{3 (- 2) + 4}$
237802	Solve the System of Equations	y=-2x+21/4 y=x^2-x-3/4	$y = - 2 x + \frac{21}{4}$ $y = x^{2} - x - \frac{3}{4}$
237803	Solve for x	3 cube root of 2x = cube root of 2x+156	$3 \sqrt[3]{2 x} = \sqrt[3]{2 x + 156}$
237804	Simplify	4 square root of 10- square root of 6+3 square root of 10	$4 \sqrt{10} - \sqrt{6} + 3 \sqrt{10}$
237805	Solve for k	y = square root of 2m-k	$y = \sqrt{2 m - k}$
237806	Evaluate	-67/50+1.5-100%	$- \frac{67}{50} + 1.5 - 100 %$
237807	Write in Slope-Intercept Form	2x+y>=3	$2 x + y \geq 3$
237808	Simplify	w^2ww^-5	$w^{2} \cdot w \cdot w^{- 5}$
237809	Simplify	(-9x^2y^2+5x^2y-11xy+1)-(4xy-13x^2y+7)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (4 x y - 13 x^{2} y + 7)$
237810	Simplify	((a^2-b^2)/(4a))/((a+b)/(2a))	$\frac{\frac{a^{2} - b^{2}}{4 a}}{\frac{a + b}{2 a}}$
237811	Find the Exact Value	3 square root of -8	$3 \sqrt{- 8}$
237812	Solve for x	(3x)/(x-5)=15/(x-5)+4	$\frac{3 x}{x - 5} = \frac{15}{x - 5} + 4$
237813	Divide	(3x^3y+6x^2y^3-9xy^4)/(3xy)	$\frac{3 x^{3} y + 6 x^{2} y^{3} - 9 x y^{4}}{3 x y}$
237814	Simplify	(5 square root of 8)/(4 square root of 18)	$\frac{5 \sqrt{8}}{4 \sqrt{18}}$
237815	Graph	g(x)=10 if x<-1; x^2+1 if -1<=x<=3; 10 if x>3	$g (x) = {\begin{cases} 10 & x < - 1 \\ x^{2} + 1 & - 1 \leq x \leq 3 \\ 10 & x > 3 \end{cases}$
237816	Simplify	( square root of 3+ square root of 7)/( square root of 3- square root of 7)	$\frac{\sqrt{3} + \sqrt{7}}{\sqrt{3} - \sqrt{7}}$
237817	Solve the System of Equations	y=-x^2-13x-3 2x+y=15	$y = - x^{2} - 13 x - 3$ $2 x + y = 15$
237818	Graph	y=4+ square root of 6-x	$y = 4 + \sqrt{6 - x}$
237819	Find the Quadratic Equation Given the Roots	0 and 5	$0$ and $5$
237820	Find the x and y Intercepts	t(x)=x^2(x-3)(3-x)	$t (x) = x^{2} (x - 3) (3 - x)$
237821	Graph	22>=4x+2>-18	$22 \geq 4 x + 2 > - 18$
237822	Solve the Inequality for x	cos(x)<=-1/2	$\cos (x) \leq - \frac{1}{2}$
237823	Simplify the Radical Expression	square root of 49- square root of -200+ square root of 81+ square root of -32	$\sqrt{49} - \sqrt{- 200} + \sqrt{81} + \sqrt{- 32}$
237824	Graph Using a Table of Values	f(x)=-4^(x-4)+5	$f (x) = - 4^{x - 4} + 5$
237825	Solve the System of Equations	x+5y+4z=3 x+3y+4z=-3 -x+7y+4z=-7	$x + 5 y + 4 z = 3$ $x + 3 y + 4 z = - 3$ $- x + 7 y + 4 z = - 7$
237826	Graph	y>-3x-5 x<-2 y<=6	$y > - 3 x - 5$ $x < - 2$ $y \leq 6$
237827	Graph	slope of -3	slope of $- 3$
237828	Simplify	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \cdot 10^{- 5})}{(7.8 \cdot 10^{- 8})}$
237829	Graph	-25<-3x+5 or -3x+5<-31	$- 25 < - 3 x + 5$ or $- 3 x + 5 < - 31$
237830	Evaluate	(10-3)/(3-0)	$\frac{10 - 3}{3 - 0}$
237831	Find the Exact Value	sin(pi/3)cos(pi/6)-tan(pi/4)	$\sin (\frac{π}{3}) \cos (\frac{π}{6}) - \tan (\frac{π}{4})$
237832	Simplify the Radical Expression	(5- square root of 7)/(9- square root of 14)	$\frac{5 - \sqrt{7}}{9 - \sqrt{14}}$
237833	Solve for k	( square root of 3)^(10k)=81^(k+3)	${(\sqrt{3})}^{10 k} = 81^{k + 3}$
237834	Evaluate	cube root of 7^4* cube root of 7^4	$\sqrt[3]{7^{4}} \cdot \sqrt[3]{7^{4}}$
237835	Find the Exact Value	1/2-( square root of 3)/2	$\frac{1}{2} - \frac{\sqrt{3}}{2}$
237836	Simplify the Radical Expression	square root of 33/(x^4)	$\sqrt{\frac{33}{x^{4}}}$
237837	Describe the Transformation	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
237838	Simplify	(8^8)^8	${(8^{8})}^{8}$
237839	Evaluate	3/4-6/7(1/2)^2	$\frac{3}{4} - \frac{6}{7} {(\frac{1}{2})}^{2}$
237840	Find the Degree	2a^3b^2+a^6b^4+3a^7	$2 a^{3} b^{2} + a^{6} b^{4} + 3 a^{7}$
237841	Simplify	(w^3*w^5)/((w^2)^4)	$\frac{w^{3} \cdot w^{5}}{{(w^{2})}^{4}}$
237842	Evaluate	cube root of 0+1	$\sqrt[3]{0 + 1}$
237843	Evaluate	3x^2=48	$3 x^{2} = 48$
237844	Simplify	( square root of 44* square root of 63)/( square root of 99)	$\frac{\sqrt{44} \cdot \sqrt{63}}{\sqrt{99}}$
237845	Solve for z	x=y*z	$x = y \cdot z$
237846	Divide	( square root of 2x+3)/( square root of 8x)	$\frac{\sqrt{2 x} + 3}{\sqrt{8 x}}$
237847	Divide Using Long Polynomial Division	(x^4+5x^3+6x^2-4)÷(x+3)	$(x^{4} + 5 x^{3} + 6 x^{2} - 4) \div (x + 3)$
237848	Identify the Zeros and Their Multiplicities	f(x)=6(x^2+1)^2(x-5)^3	$f (x) = 6 {(x^{2} + 1)}^{2} {(x - 5)}^{3}$
237849	Solve for b	s=ph+2b	$s = p h + 2 b$
237850	Solve the System of Inequalities	x<-7 and x<7	$x < - 7$ and $x < 7$
237851	Simplify the Radical Expression	fourth root of (x^24y^20)/81	$\sqrt[4]{\frac{x^{24} y^{20}}{81}}$
237852	Simplify	3x^2-(9x-8x^2)+4x-4	$3 x^{2} - (9 x - 8 x^{2}) + 4 x - 4$
237853	Solve for x	3x^2+x-1=(2x+9)(x-1)	$3 x^{2} + x - 1 = (2 x + 9) (x - 1)$
237854	Find the Product	2xy(3x^2-xy+7)	$2 x y (3 x^{2} - x y + 7)$
237855	Find All Complex Solutions	(x+1)/(2x-1)=x/2+3/(4x-2)	$\frac{x + 1}{2 x - 1} = \frac{x}{2} + \frac{3}{4 x - 2}$
237856	Find the Roots (Zeros)	square root of x+1=x-1	$\sqrt{x + 1} = x - 1$
237857	Write in Standard Form	(-9- square root of -18)/3	$\frac{- 9 - \sqrt{- 18}}{3}$
237858	Divide	(18m^4+3m^3+45m^2)÷9m	$(18 m^{4} + 3 m^{3} + 45 m^{2}) \div 9 m$
237859	Find the Product	2cd^4(-4c^6d^5-c^3d)	$2 c d^{4} (- 4 c^{6} d^{5} - c^{3} d)$
237860	Solve the Inequality for x	6x^2+17x>6x-3	$6 x^{2} + 17 x > 6 x - 3$
237861	Solve for v	(v+9)/15=0	$\frac{v + 9}{15} = 0$
237862	Solve for p	-1/4(p+16)=2	$- \frac{1}{4} (p + 16) = 2$
237863	Simplify	((2x^0)/(4x^-2y^4))	$(\frac{2 x^{0}}{4 x^{- 2} y^{4}})$
237864	Rationalize the Denominator	(2q^2)/( square root of 18q^6)	$\frac{2 q^{2}}{\sqrt{18 q^{6}}}$
237865	Solve the Rational Equation for v	-10 square root of v-10=-60	$- 10 \sqrt{v - 10} = - 60$
237866	Simplify	(x^0y^3)/(y^6)	$\frac{x^{0} y^{3}}{y^{6}}$
237867	Graph	6x^2+9(y-2)^2<=36 x^2+(y+3)^2<=25	$6 x^{2} + 9 {(y - 2)}^{2} \leq 36$ $x^{2} + {(y + 3)}^{2} \leq 25$
237868	Solve for x	10=(1+7x)/(7+x)	$10 = \frac{1 + 7 x}{7 + x}$
237869	Find the Holes in the Graph	(x^2-3x-70)/(3x^2-30x)	$\frac{x^{2} - 3 x - 70}{3 x^{2} - 30 x}$
237870	Simplify	5x-3+x+2+5x-3+x+2	$5 x - 3 + x + 2 + 5 x - 3 + x + 2$
237871	Simplify	1/2( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
237872	Find the Exact Value	25*25	$25 \cdot 25$
237873	Find the Axis of Symmetry	g(x)=\|x-7\|-6	$g (x) = \| x - 7 \| - 6$
237874	Graph	3x+y=0 , x<=0	$3 x + y = 0$ , $x \leq 0$
237875	Write in Standard Form	y=(-4x+5)/3	$y = \frac{- 4 x + 5}{3}$
237876	Graph	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
237877	Find All Complex Solutions	square root of 8x-1+4=8	$\sqrt{8 x - 1} + 4 = 8$
237878	Simplify	((x^2)/(x^-4*2x^6))^5	${(\frac{x^{2}}{x^{- 4} \cdot 2 x^{6}})}^{5}$
237879	Simplify	sec(x)*sin(x)^2+cos(x)	$\sec (x) \cdot \sin^{2} (x) + \cos (x)$
237880	Evaluate	square root of 2x+1-4=-1	$\sqrt{2 x + 1} - 4 = - 1$
237881	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+15x^2-16x+4 is divided by 2x-1	Use the long division method to find the result when $2 x^{3} + 15 x^{2} - 16 x + 4$ is divided by $2 x - 1$
237882	Write in Standard Form	y=x^2(x^2-7)(2x+3)	$y = x^{2} (x^{2} - 7) (2 x + 3)$
237883	Convert to Interval Notation	x<4 and x>-3	$x < 4$ and $x > - 3$
237884	Solve for v	7v+7=19v-3v+61	$7 v + 7 = 19 v - 3 v + 61$
237885	Simplify	3x(7x)	$3 x \cdot (7 \cdot x)$
237886	Graph	y=inx	$y = i n x$
237887	Solve the System of Equations	3x-y+2z=3 x-2z=12 4x+z=12	$3 x - y + 2 z = 3$ $x - 2 z = 12$ $4 x + z = 12$
237888	Solve for s	0.9s=s+0.8	$0.9 s = s + 0.8$
237889	Solve Using the Quadratic Formula	3x^2+x-1=(2x+9)(x-1)	$3 x^{2} + x - 1 = (2 x + 9) (x - 1)$
237890	Multiply	4 cube root of -9*7 cube root of 48	$4 \sqrt[3]{- 9} \cdot 7 \sqrt[3]{48}$
237891	Find the x and y Intercepts	8x-1/3y=16	$8 x - \frac{1}{3} y = 16$
237892	Solve for x	1/x+1/3<1/5	$\frac{1}{x} + \frac{1}{3} < \frac{1}{5}$
237893	Solve the Rational Equation for m	2+ square root of m-2=7	$2 + \sqrt{m - 2} = 7$
237894	Multiply	( square root of 5+ square root of 2)^2	${(\sqrt{5} + \sqrt{2})}^{2}$
237895	Simplify	((y^2x^-4)/(5xy^-8))^3	${(\frac{y^{2} x^{- 4}}{5 x y^{- 8}})}^{3}$
237896	Solve the System of Inequalities	-9x+5y<=-6 4x-8y<-16	$- 9 x + 5 y \leq - 6$ $4 x - 8 y < - 16$
237897	Divide	(-5-i)/(-10i)	$\frac{- 5 - i}{- 10 i}$
237898	Simplify	(n)(-n^3)	$(n) (- n^{3})$
237899	Simplify	fifth root of -(y-z)^15	$\sqrt[5]{- {(y - z)}^{15}}$
237900	Find the Equation with a Point and y-intercept	9/8 , y-7/2	$\frac{9}{8}$ , $y - \frac{7}{2}$