Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171001	Evaluate	3(x+y)=y	$3 (x + y) = y$
171002	Simplify	(x^3*x^-2)/(x^5)	$\frac{x^{3} \cdot x^{- 2}}{x^{5}}$
171003	Simplify	(2a-5+b)*5	$(2 a - 5 + b) \cdot 5$
171004	Solve for b	(11a+b)/3=6a	$\frac{11 a + b}{3} = 6 a$
171005	Solve for y	y(2y+5)=0	$y (2 y + 5) = 0$
171006	Solve by Substitution	3x-y=10 2x=y	$3 x - y = 10$ $2 x = y$
171007	Solve for x	x/9*15-47=28	$\frac{x}{9} \cdot 15 - 47 = 28$
171008	Graph	y=-3/2cos(2x)	$y = - \frac{3}{2} \cos (2 x)$
171009	Solve the System of Inequalities	-21<3x+3 or 27>=3x+3	$- 21 < 3 x + 3$ or $27 \geq 3 x + 3$
171010	Simplify	(1/x)/(1/y)	$\frac{\frac{1}{x}}{\frac{1}{y}}$
171011	Solve for x	x/2-(3x)/5=(x-6)/2	$\frac{x}{2} - \frac{3 x}{5} = \frac{x - 6}{2}$
171012	Evaluate	(1+h)^2	${(1 + h)}^{2}$
171013	Find the Product	(3x+y)^2	${(3 x + y)}^{2}$
171014	Solve the System of Equations	y=3x y=x^2-10	$y = 3 x$ $y = x^{2} - 10$
171015	Find the Exact Value	60÷5(7-5)	$60 \div 5 (7 - 5)$
171016	Factor	p(x)=x^3+x^2+x+1	$p (x) = x^{3} + x^{2} + x + 1$
171017	Simplify	8*(11i+2)	$8 \cdot (11 i + 2)$
171018	Simplify	(x^-2y^0z^2)/(xy)	$\frac{x^{- 2} y^{0} z^{2}}{x y}$
171019	Divide	((x-2)/2)÷((x-2)/5)	$\frac{x - 2}{2} \div \frac{x - 2}{5}$
171020	Factor	8q^4t+2q^3t^2-6q^2t^4	$8 q^{4} t + 2 q^{3} t^{2} - 6 q^{2} t^{4}$
171021	Solve Using the Quadratic Formula	-x^2=4	$- x^{2} = 4$
171022	Solve the Inequality for x	2+4/9x>=4+x	$2 + \frac{4}{9} x \geq 4 + x$
171023	Simplify	(x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)	$(x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)$
171024	Evaluate	(2/5+1/2)/(1/10+3/15)	$\frac{\frac{2}{5} + \frac{1}{2}}{\frac{1}{10} + \frac{3}{15}}$
171025	Factor	(a^2-b^2)	$(a^{2} - b^{2})$
171026	Find the Exact Value	-\|-3\|	$- \| - 3 \|$
171027	Simplify	(-3x^2+6x)/(18xy)	$\frac{- 3 x^{2} + 6 x}{18 x y}$
171028	Graph	f(x)=1/2(x-1)^2	$f (x) = \frac{1}{2} {(x - 1)}^{2}$
171029	Simplify	( square root of -9)(-7 square root of -100)	$(\sqrt{- 9}) (- 7 \sqrt{- 100})$
171030	Solve the Inequality for z	z/-4>=2	$\frac{z}{- 4} \geq 2$
171031	Simplify	((5k^3b^2)^-2)/(5k^7)	$\frac{{(5 k^{3} b^{2})}^{- 2}}{5 k^{7}}$
171032	Evaluate the Function	f(-2)=2^-2	$f (- 2) = 2^{- 2}$
171033	Solve for t	(t-2)/12=7/8	$\frac{t - 2}{12} = \frac{7}{8}$
171034	Solve for c	-1/2(c-9)=2	$- \frac{1}{2} (c - 9) = 2$
171035	Solve for x	f(10)=1/2x^2+2x-5	$f (10) = \frac{1}{2} x^{2} + 2 x - 5$
171036	Simplify	(x+3)/(x^2-25)-(x-1)/(x-5)+3/(x+3)	$\frac{x + 3}{x^{2} - 25} - \frac{x - 1}{x - 5} + \frac{3}{x + 3}$
171037	Simplify	( square root of 5- square root of 6)( square root of 5+ square root of 2)	$(\sqrt{5} - \sqrt{6}) (\sqrt{5} + \sqrt{2})$
171038	Simplify	((2^3)^10*2^-8)/(2^-7)	$\frac{{(2^{3})}^{10} \cdot 2^{- 8}}{2^{- 7}}$
171039	Solve for z	2/5(z+1)=y	$\frac{2}{5} (z + 1) = y$
171040	Simplify	( square root of -2)(8 square root of -7)	$(\sqrt{- 2}) (8 \sqrt{- 7})$
171041	Find the Holes in the Graph	f(x)=(x^2-100)/(2x^2+10x-100)	$f (x) = \frac{x^{2} - 100}{2 x^{2} + 10 x - 100}$
171042	Simplify	1^(-1/2)	$1^{- \frac{1}{2}}$
171043	Find u(w(x))	u(x)=x^2+6 w(x) = square root of x+9	$u (x) = x^{2} + 6$ $w (x) = \sqrt{x + 9}$
171044	Evaluate	7+2^2*6+2^3-6	$7 + 2^{2} \cdot 6 + 2^{3} - 6$
171045	Solve the Inequality for g	-4<=g/5	$- 4 \leq \frac{g}{5}$
171046	Evaluate	3^2+(2^3-8)^5	$3^{2} + {(2^{3} - 8)}^{5}$
171047	Solve for g	-10(g-6)=65	$- 10 (g - 6) = 65$
171048	Evaluate	x=(-b+- square root of b^2-4ac)/(2a)	$x = \frac{- b + - \sqrt{b^{2} - 4 a c}}{2 a}$
171049	Graph Using a Table of Values	y=x^2-2x	$y = x^{2} - 2 x$
171050	Find the Function	f(x)=3x^2+1	$f (x) = 3 x^{2} + 1$
171051	Simplify	(3x^2)/2-(-2x^2)/2	$\frac{3 x^{2}}{2} - \frac{- 2 x^{2}}{2}$
171052	Graph	y<3/2x-2 y<3/2x-8	$y < \frac{3}{2} x - 2$ $y < \frac{3}{2} x - 8$
171053	Find the Discriminant	-x^2+2x+66=-2x^2+1	$- x^{2} + 2 x + 66 = - 2 x^{2} + 1$
171054	Solve for x	2^2+2^2=x^2	$2^{2} + 2^{2} = x^{2}$
171055	Graph	y=3 log base 2 of -x-9	$y = 3 \log_{2} (- x) - 9$
171056	Find the Point-Slope Form	y=3x+1	$y = 3 x + 1$
171057	Find All Complex Solutions	x^2=0	$x^{2} = 0$
171058	Solve for n	3^(2n)>=6^(n+1)	$3^{2 n} \geq 6^{n + 1}$
171059	Solve for x	3^(2x)=9^(3-x)	$3^{2 x} = 9^{3 - x}$
171060	Graph Using a Table of Values	f(x)=(2x-2)/(-x+4)	$f (x) = \frac{2 x - 2}{- x + 4}$
171061	Graph	y=4sin(3/2)(theta-pi)+3	$y = 4 \sin (\frac{3}{2}) (θ - π) + 3$
171062	Factor by Grouping	a^2+2ab+b^2	$a^{2} + 2 a b + b^{2}$
171063	Solve for E	I=E/R	$I = \frac{E}{R}$
171064	Solve for x	5/(x^2)-43/x=18	$\frac{5}{x^{2}} - \frac{43}{x} = 18$
171065	Divide	(-3 5/9)÷3	$- 3 \frac{5}{9} \div 3$
171066	Evaluate	1-1/((2)^2)	$1 - \frac{1}{{(2)}^{2}}$
171067	Simplify	6^(-5/4)*6^(-8/7)	$6^{- \frac{5}{4}} \cdot 6^{- \frac{8}{7}}$
171068	Convert to Interval Notation	-x-6<=-3 or -4x+3>-1	$- x - 6 \leq - 3$ or $- 4 x + 3 > - 1$
171069	Simplify	3/((-5/x)^2-7)	$\frac{3}{{(- \frac{5}{x})}^{2} - 7}$
171070	Graph Using a Table of Values	f(x)=-4	$f (x) = - 4$
171071	Solve for k	8-12\|k+5\|=-4	$8 - 12 \| k + 5 \| = - 4$
171072	Solve for t	-2=-5t+10+2t	$- 2 = - 5 t + 10 + 2 t$
171073	Simplify	(a^-1b^(1/3)*a^(-4/3)b^2)^2	${(a^{- 1} b^{\frac{1}{3}} \cdot a^{- \frac{4}{3}} b^{2})}^{2}$
171074	Factor	33x^4+22y^3z	$33 x^{4} + 22 y^{3} z$
171075	Evaluate	tan(pi/4)^2sec(pi/4)+sec(pi/4)^3	$\tan^{2} (\frac{π}{4}) \sec (\frac{π}{4}) + \sec^{3} (\frac{π}{4})$
171076	Solve for b	a=1/2(a+b)	$a = \frac{1}{2} (a + b)$
171077	Find the Domain and Range	y=-(2x^2-4x-1)	$y = - (2 x^{2} - 4 x - 1)$
171078	Graph	y=\|x\|+x	$y = \| x \| + x$
171079	Solve the Inequality for x	1/2(4x-2)-2/3(6x+9)<=4	$\frac{1}{2} (4 x - 2) - \frac{2}{3} (6 x + 9) \leq 4$
171080	Find the Domain and Range	r(x)=(x^2+4x-5)/(x^2+x-2)	$r (x) = \frac{x^{2} + 4 x - 5}{x^{2} + x - 2}$
171081	Solve for x	3/x=x/12	$\frac{3}{x} = \frac{x}{12}$
171082	Solve for c	42=\|7c\|	$42 = \| 7 c \|$
171083	Solve for x	-4/(x-4)=1-2/(x+8)	$\frac{- 4}{x - 4} = 1 - \frac{2}{x + 8}$
171084	Simplify	fourth root of 8* fourth root of 8	$\sqrt[4]{8} \cdot \sqrt[4]{8}$
171085	Simplify	(6x-7y-3z)+(7z-3x-6y)	$(6 x - 7 y - 3 z) + (7 z - 3 x - 6 y)$
171086	Solve for c	\|c/11\|=6	$\| \frac{c}{11} \| = 6$
171087	Solve for x	5+ square root of x+7=x	$5 + \sqrt{x + 7} = x$
171088	Simplify the Radical Expression	(4^6)(4^5)	$(4^{6}) (4^{5})$
171089	Simplify the Radical Expression	cube root of 27x^3	$\sqrt[3]{27 x^{3}}$
171090	Graph	y=-e^(x+3)	$y = - e^{x + 3}$
171091	Graph	f(x)=-(1/4)^(x-3)	$f (x) = - {(\frac{1}{4})}^{x - 3}$
171092	Simplify	( square root of x)/( square root of x)	$\frac{\sqrt{x}}{\sqrt{x}}$
171093	Solve for x	9x-3-8x=7-x	$9 x - 3 - 8 x = 7 - x$
171094	Solve for x	3^2x=27^4	$3^{2} x = 27^{4}$
171095	Graph	f(x)=(2x^2)/(x^2+2x-3)	$f (x) = \frac{2 x^{2}}{x^{2} + 2 x - 3}$
171096	Solve for a	1/a=1/b+1/c	$\frac{1}{a} = \frac{1}{b} + \frac{1}{c}$
171097	Find g(f(x))	f(x)=2x+11 and g(x)=-3x-22	$f (x) = 2 x + 11$ and $g (x) = - 3 x - 22$
171098	Evaluate	square root of 3x^2	$\sqrt{3 x^{2}}$
171099	Solve for x	1/(x+4)+2/(x+3)=-1/(x^2+7x+12)	$\frac{1}{x + 4} + \frac{2}{x + 3} = \frac{- 1}{x^{2} + 7 x + 12}$
171100	Simplify	(-6s^-2)/(-3(s^4)^2)	$\frac{- 6 s^{- 2}}{- 3 {(s^{4})}^{2}}$