Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190701	Solve for k	1/2k+6=4k-8	$\frac{1}{2} k + 6 = 4 k - 8$
190702	Solve the Inequality for x	x^2>=4x	$x^{2} \geq 4 x$
190703	Solve for a	(x^(1/5))^2 fifth root of x=x^a	${(x^{\frac{1}{5}})}^{2} \sqrt[5]{x} = x^{a}$
190704	Solve for x	(9x)/4+5/2=-1/2	$\frac{9 x}{4} + \frac{5}{2} = - \frac{1}{2}$
190705	Find the Product	(x+4)(x^2+3x+2)	$(x + 4) (x^{2} + 3 x + 2)$
190706	Find the Domain and Range	g(x)=arcsin(3x+1)	$g (x) = \arcsin (3 x + 1)$
190707	Solve for x	7(x+2)-3x=2/3(6x+3)	$7 (x + 2) - 3 x = \frac{2}{3} (6 x + 3)$
190708	Graph	y>=\|x\|+3	$y \geq \| x \| + 3$
190709	Determine if a Polynomial	t-4t^2+2t^3	$t - 4 t^{2} + 2 t^{3}$
190710	Find the Distance Between Two Points	(8,2) and (-1,5)	$(8, 2)$ and $(- 1, 5)$
190711	Solve the Inequality for t	\|7t-2\|<=12	$\| 7 t - 2 \| \leq 12$
190712	Find the Distance Between Two Points	(1,-7) and (4,-5)	$(1, - 7)$ and $(4, - 5)$
190713	Solve the Inequality for x	6(-1/2x-1/3)<=10	$6 (- \frac{1}{2} x - \frac{1}{3}) \leq 10$
190714	Simplify	(x-5)/(3x+4)-(3x-5)/(3x+4)	$\frac{x - 5}{3 x + 4} - \frac{3 x - 5}{3 x + 4}$
190715	Find the Degree, Leading Term, and Leading Coefficient	f(x)=7x^2-6+10x^3-6x^6	$f (x) = 7 x^{2} - 6 + 10 x^{3} - 6 x^{6}$
190716	Solve the Inequality for x	9x+11>=8x+10	$9 x + 11 \geq 8 x + 10$
190717	Rationalize the Denominator	2/( square root of 18)	$\frac{2}{\sqrt{18}}$
190718	Solve for w	20>=4/5w	$20 \geq \frac{4}{5} w$
190719	Find the Complex Conjugate	square root of -45	$\sqrt{- 45}$
190720	Solve for h	v=1/3pi^2h	$v = \frac{1}{3} π^{2} h$
190721	Solve for x	kx+2=3b	$k x + 2 = 3 b$
190722	Find the Exact Value	sin(2arctan(-8/15))	$\sin (2 \arctan (- \frac{8}{15}))$
190723	Evaluate the Function	f(x)=-7/x at x=-3	$f (x) = - \frac{7}{x}$ at $x = - 3$
190724	Determine if Perpendicular	2x+7y=28 7x-2y=4	$2 x + 7 y = 28$ $7 x - 2 y = 4$
190725	Factor	50+50-25x^0+2+2	$50 + 50 - 25 x^{0} + 2 + 2$
190726	Solve for u	4u^2+9=-12u	$4 u^{2} + 9 = - 12 u$
190727	Find the Domain and Range	f^-1(x)=x^2-5	$f^{- 1} (x) = x^{2} - 5$
190728	Graph	g(x)=-2x,x<-2; -x^2,-2<=x<1; x,x>=1	$g (x) = {\begin{cases} - 2 x, x < - 2 \\ - x^{2}, - 2 \leq x < 1 \\ x, x \geq 1 \end{cases}$
190729	Solve the Absolute Value Inequality for x	7\|x+2\|+5>4	$7 \| x + 2 \| + 5 > 4$
190730	Multiply	2(x/2)	$2 (\frac{x}{2})$
190731	Graph Using a Table of Values	P(x)=(x^2+1)/(x+1)	$P (x) = \frac{x^{2} + 1}{x + 1}$
190732	Solve Using the Quadratic Formula	x+6	$x + 6$
190733	Find g(f(x))	f(x)=2x-4 and g(x)=2x^2-1	$f (x) = 2 x - 4$ and $g (x) = 2 x^{2} - 1$
190734	Graph	y=-x+2 y=2x-4	$y = - x + 2$ $y = 2 x - 4$
190735	Solve for x	(x+4)(x+1)=2(x-2)(x+1)	$(x + 4) (x + 1) = 2 (x - 2) (x + 1)$
190736	Solve for x	7x-3x+7=3(x-4)+20	$7 x - 3 x + 7 = 3 (x - 4) + 20$
190737	Evaluate	10*2pi	$10 \cdot 2 π$
190738	Find the Roots (Zeros)	P(x)=x^5-x^4-5x^3+x^2+8x+4	$P (x) = x^{5} - x^{4} - 5 x^{3} + x^{2} + 8 x + 4$
190739	Evaluate	6.59+(-7.8)-(-2.41)	$6.59 + (- 7.8) - (- 2.41)$
190740	Subtract	(x+1)/(x^2-16)-3/(x+4)	$\frac{x + 1}{x^{2} - 16} - \frac{3}{x + 4}$
190741	Factor	3x^2-12=0	$3 x^{2} - 12 = 0$
190742	Find the Exact Value	square root of 3/4	$\sqrt{\frac{3}{4}}$
190743	Factor	x^2y+x^6y^2-x^4y^4	$x^{2} y + x^{6} y^{2} - x^{4} y^{4}$
190744	Solve for x	\|2x-9\|=\|x-6\|	$\| 2 x - 9 \| = \| x - 6 \|$
190745	Find the Product	(X+3)(2x-4)	$(X + 3) (2 x - 4)$
190746	Simplify	2-x-1/(3-x)	$2 - x - \frac{1}{3 - x}$
190747	Solve the Inequality for x	(x+3)/4<2+(x+2)/3	$\frac{x + 3}{4} < 2 + \frac{x + 2}{3}$
190748	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x+x^4-8+2x^3	$f (x) = x + x^{4} - 8 + 2 x^{3}$
190749	Solve for x	-2x+4=2(4x-3)-3(-8+4x)	$- 2 x + 4 = 2 (4 x - 3) - 3 (- 8 + 4 x)$
190750	Evaluate	2^3-(5*(6+4))÷2	$2^{3} - 5 \cdot (6 + 4) \div 2$
190751	Simplify	5xy(2x-y)+6y^2(x^2+6)	$5 x y (2 x - y) + 6 y^{2} (x^{2} + 6)$
190752	Solve the Inequality for k	5k-7>=5k+8	$5 k - 7 \geq 5 k + 8$
190753	Solve the Absolute Value Inequality for x	2(3x-1)>=4x-6	$2 (3 x - 1) \geq 4 x - 6$
190754	Find the Holes in the Graph	(2x^3+x^2-8x-4)/(x^2-3x+2)	$\frac{2 x^{3} + x^{2} - 8 x - 4}{x^{2} - 3 x + 2}$
190755	Graph Using a Table of Values	f(x)=4*2^x	$f (x) = 4 \cdot 2^{x}$
190756	Find the Holes in the Graph	f(x)=(x^2-81)/(x^3+7x^2-18x)	$f (x) = \frac{x^{2} - 81}{x^{3} + 7 x^{2} - 18 x}$
190757	Graph	y>=2x-5 y<-3x	$y \geq 2 x - 5$ $y < - 3 x$
190758	Solve for x	(x^2)/4-(7x)/2+10=0	$\frac{x^{2}}{4} - \frac{7 x}{2} + 10 = 0$
190759	Combine Like Terms	(4+x)(4-x)	$(4 + x) (4 - x)$
190760	Solve the Inequality for x	6x^2>=5-13x	$6 x^{2} \geq 5 - 13 x$
190761	Solve for x	rx+h=sx-k	$r x + h = s x - k$
190762	Factor	-n^(8x+2y)+m^(6x-4y)	$- n^{8 x + 2 y} + m^{6 x - 4 y}$
190763	Simplify the Radical Expression	(7x^3y^2)^(2/7)	${(7 x^{3} y^{2})}^{\frac{2}{7}}$
190764	Find the Excluded Values	((x+2)/(x^2-5x+6))÷((x+2)/(x^2-4x+3))	$\frac{x + 2}{x^{2} - 5 x + 6} \div \frac{x + 2}{x^{2} - 4 x + 3}$
190765	Graph	2+5i+(3-i)	$2 + 5 i + (3 - i)$
190766	Solve for x	4-(x+1)/2=(2-x)/7	$4 - \frac{x + 1}{2} = \frac{2 - x}{7}$
190767	Solve for c	45c-21c-20c-c=15	$45 c - 21 c - 20 c - c = 15$
190768	Find the Exact Value	3n-(2+n)	$3 n - (2 + n)$
190769	Simplify	10x-12y+8+12y	$10 x - 12 y + 8 + 12 y$
190770	Graph	3(1-2x)>3-6x	$3 (1 - 2 x) > 3 - 6 x$
190771	Find the x and y Intercepts	R(x)=(x+8)/(x(x+10))	$R (x) = \frac{x + 8}{x (x + 10)}$
190772	Simplify	(5^-2)^5*5^4	${(5^{- 2})}^{5} \cdot 5^{4}$
190773	Find the Roots (Zeros)	f(x)=1/2 square root of x-3	$f (x) = \frac{1}{2} \sqrt{x - 3}$
190774	Solve for x	cube root of x+2=0	$\sqrt[3]{x} + 2 = 0$
190775	Write the Fraction in Simplest Form	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)}$
190776	Simplify	(4h^5k^3)(15k^2h^3)	$(4 h^{5} k^{3}) (15 k^{2} h^{3})$
190777	Multiply	(x^2+2xy+y^2)(x+y)	$(x^{2} + 2 x y + y^{2}) (x + y)$
190778	Solve the System of Equations	14=3y+x , 20=2y-3x	$14 = 3 y + x$ , $20 = 2 y - 3 x$
190779	Find the x and y Intercepts	f(x)=(x^2-100)/(3x^2-32x+20)	$f (x) = \frac{x^{2} - 100}{3 x^{2} - 32 x + 20}$
190780	Solve the Rational Equation for x	1/(x-4)-5/(x+1)=1/(x^2-3x-4)	$\frac{1}{x - 4} - \frac{5}{x + 1} = \frac{1}{x^{2} - 3 x - 4}$
190781	Find the Domain and Range	1-x	$1 - x$
190782	Solve the System of Equations	x^2-y=3 x-y=-3	$x^{2} - y = 3$ $x - y = - 3$
190783	Evaluate	(-1)^2*2^2	${(- 1)}^{2} \cdot 2^{2}$
190784	Solve the Inequality for x	x+2/3<=2x+3/4	$x + \frac{2}{3} \leq 2 x + \frac{3}{4}$
190785	Factor	(x^2+6x)^2+(x^2+6x)-56	${(x^{2} + 6 x)}^{2} + (x^{2} + 6 x) - 56$
190786	Solve for x	x/(x+5)=(x+4)/(5x+25)	$\frac{x}{x + 5} = \frac{x + 4}{5 x + 25}$
190787	Simplify	( cube root of 2^5)^(1/4)	${(\sqrt[3]{2^{5}})}^{\frac{1}{4}}$
190788	Divide	3 , 45÷5	$3$ , $45 \div 5$
190789	Graph	-2x=2y-4 2x-y=-5	$- 2 x = 2 y - 4$ $2 x - y = - 5$
190790	Simplify	(1/x-1/y)/(1/(x^2)+1/(y^2))	$\frac{\frac{1}{x} - \frac{1}{y}}{\frac{1}{x^{2}} + \frac{1}{y^{2}}}$
190791	Simplify	(-1/(x^2))^2	${(- \frac{1}{x^{2}})}^{2}$
190792	Solve for x	2-3/(x+4)=(x+2)/(x+4)	$2 - \frac{3}{x + 4} = \frac{x + 2}{x + 4}$
190793	Solve for x	3x-4-5x=x+4+x	$3 x - 4 - 5 x = x + 4 + x$
190794	Subtract	(-7x^2+4x+2)-(x^2-3)	$(- 7 x^{2} + 4 x + 2) - (x^{2} - 3)$
190795	Write with Rational (Fractional) Exponents	m root of an root of b cube root of c^x	$\sqrt[m]{a} \sqrt[n]{b} \sqrt[3]{c^{x}}$
190796	Convert to Interval Notation	4x-6>=6x-20	$4 x - 6 \geq 6 x - 20$
190797	Evaluate	-4*(3/-4)	$- 4 \cdot (\frac{3}{- 4})$
190798	Simplify	x^3*2x	$x^{3} \cdot 2 x$
190799	Simplify	(3x^2+2xy+7)-(6x^2-4xy+3)	$(3 x^{2} + 2 x y + 7) - (6 x^{2} - 4 x y + 3)$
190800	Solve the Inequality for x	-(55x)/2-10>=-185/2	$- \frac{55 x}{2} - 10 \geq - \frac{185}{2}$