Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179101	Solve for x	(3x+1)/(3x+2)=(x+2)/(x-5)	$\frac{3 x + 1}{3 x + 2} = \frac{x + 2}{x - 5}$
179102	Evaluate the Function	f(0) = square root of 0	$f (0) = \sqrt{0}$
179103	Factor	y=x^2-4x+3	$y = x^{2} - 4 x + 3$
179104	Graph	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
179105	Graph Using a Table of Values	y=x^3-2	$y = x^{3} - 2$
179106	Solve the Inequality for b	11.3>b/4.3	$11.3 > \frac{b}{4.3}$
179107	Solve the Inequality for x	14.2+15.5+x<51.3	$14.2 + 15.5 + x < 51.3$
179108	Find the Exact Value	(f+g)(-2)	$(f + g) (- 2)$
179109	Solve the Inequality for x	2x^2+x-1>=0	$2 x^{2} + x - 1 \geq 0$
179110	Solve for k	2e^(-k-1)=44	$2 e^{- k - 1} = 44$
179111	Simplify	3i*2i	$3 i \cdot 2 i$
179112	Find the Inverse	(x)=9x+5	$(x) = 9 x + 5$
179113	Solve for x	(3x)/5-2=x+1/3	$\frac{3 x}{5} - 2 = x + \frac{1}{3}$
179114	Solve the Absolute Value Inequality for x	\|2x-3\|<=7	$\| 2 x - 3 \| \leq 7$
179115	Solve for x	(6x)/(x-3)=(4x+6)/(x-3)	$\frac{6 x}{x - 3} = \frac{4 x + 6}{x - 3}$
179116	Solve the Inequality for x	x^2-49>0	$x^{2} - 49 > 0$
179117	Find the Holes in the Graph	f(x)=(x^3+2x^2-8x)/(x^2-2x)	$f (x) = \frac{x^{3} + 2 x^{2} - 8 x}{x^{2} - 2 x}$
179118	Solve for z	A=x-y+z	$A = x - y + z$
179119	Solve the Inequality for x	2x^2+9x-5<0	$2 x^{2} + 9 x - 5 < 0$
179120	Solve for h	v=1/3pir^2(h-1)	$v = \frac{1}{3} π r^{2} (h - 1)$
179121	Solve for x	1/16=644x-3	$\frac{1}{16} = 644 x - 3$
179122	Graph Using a Table of Values	f(x) = square root of -x-2+2	$f (x) = \sqrt{- x - 2} + 2$
179123	Solve the System of Inequalities	-2.5<=(1-3y)/2<=1.5	$- 2.5 \leq \frac{1 - 3 y}{2} \leq 1.5$
179124	Evaluate	(3(4)^(1/2))/2	$\frac{3 {(4)}^{\frac{1}{2}}}{2}$
179125	Solve the Inequality for x	x^3-7x^2+14x-8<0	$x^{3} - 7 x^{2} + 14 x - 8 < 0$
179126	Solve Using the Quadratic Formula	x^2+10x+c	$x^{2} + 10 x + c$
179127	Solve the Inequality for x	7^(3x+4)<49^(2x+1)	$7^{3 x + 4} < 49^{2 x + 1}$
179128	Find the Holes in the Graph	f(x)=(-2x-6)/(x^2+4x+3)	$f (x) = \frac{- 2 x - 6}{x^{2} + 4 x + 3}$
179129	Solve for n	4n+2=10(1/5n-1)	$4 n + 2 = 10 (\frac{1}{5} n - 1)$
179130	Write in Standard Form	-5x-13+7x^2=3x^2	$- 5 x - 13 + 7 x^{2} = 3 x^{2}$
179131	Evaluate	log of 5+ log of 4	$\log (5) + \log (4)$
179132	Solve for R	R=1/(1/R_1+1/R_2)	$R = \frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}}}$
179133	Solve for w	6w-33=3(4w-5)	$6 w - 33 = 3 (4 w - 5)$
179134	Evaluate	3/(2(2)^(1/2))	$\frac{3}{2 {(2)}^{\frac{1}{2}}}$
179135	Simplify	(-2/5)^3	${(- \frac{2}{5})}^{3}$
179136	Solve for x	15=8x^2-14x	$15 = 8 x^{2} - 14 x$
179137	Rationalize the Numerator	( square root of x+2- square root of 2)/x	$\frac{\sqrt{x + 2} - \sqrt{2}}{x}$
179138	Solve for x	3 log base 2 of x=x^3-4x^2+4x	$3 \log_{2} (x) = x^{3} - 4 x^{2} + 4 x$
179139	Find the Slope and y-intercept	m=-2	$m = - 2$
179140	Evaluate the Function	f(9) = square root of 9	$f (9) = \sqrt{9}$
179141	Graph	f(x)=(x^2+x-6)/(x^2+x-20)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + x - 20}$
179142	Find the Exact Value	3 square root of 64	$3 \sqrt{64}$
179143	Find the Product	(a+b)(a+b)	$(a + b) (a + b)$
179144	Divide	((x+2)/(x+8))÷((2x)/3)	$\frac{x + 2}{x + 8} \div \frac{2 x}{3}$
179145	Graph	(-8,infinity)	$(- 8, \infty)$
179146	Evaluate	(4+-2)/2	$\frac{4 + - 2}{2}$
179147	Find All Complex Solutions	x^4-20x^2=-64	$x^{4} - 20 x^{2} = - 64$
179148	Simplify	(2i^2)(-3i^2)	$(2 i^{2}) (- 3 i^{2})$
179149	Simplify	(x/(x-7))/(x/(x-7)-7)	$\frac{\frac{x}{x - 7}}{\frac{x}{x - 7} - 7}$
179150	Solve for k	-25>-6k+5	$- 25 > - 6 k + 5$
179151	Solve the Inequality for x	x^3>=6x^2	$x^{3} \geq 6 x^{2}$
179152	Simplify	(-2x^2y)^2*(-3xy^3)	${(- 2 x^{2} y)}^{2} \cdot (- 3 x y^{3})$
179153	Write in Standard Form	x+8=0	$x + 8 = 0$
179154	Solve the System of Inequalities	5x+2>-28 or -13<5x+2	$5 x + 2 > - 28$ or $- 13 < 5 x + 2$
179155	Graph	y=1/2cot(x)	$y = \frac{1}{2} \cot (x)$
179156	Solve for s	s+9>=-25	$s + 9 \geq - 25$
179157	Graph Using a Table of Values	y=(x-1)^2	$y = {(x - 1)}^{2}$
179158	Graph Using a Table of Values	y=2^x-1	$y = 2^{x} - 1$
179159	Find the Roots (Zeros)	f(x)=3x^6+2x^5+x^4-2x^3	$f (x) = 3 x^{6} + 2 x^{5} + x^{4} - 2 x^{3}$
179160	Graph	y=-2^(3x)+2	$y = - 2^{3 x} + 2$
179161	Solve for x	1/3(12x-24)=16	$\frac{1}{3} (12 x - 24) = 16$
179162	Graph	f(x)=-2x if x<0; 2x if x>=0	$f (x) = {\begin{cases} - 2 x & x < 0 \\ 2 x & x \geq 0 \end{cases}$
179163	Solve the System of Equations	y=9x y=2x+56	$y = 9 x$ $y = 2 x + 56$
179164	Find the Domain and Range	y=x+1/x	$y = x + \frac{1}{x}$
179165	Evaluate	sin(arccos(( square root of 2)/2))	$\sin (\arccos (\frac{\sqrt{2}}{2}))$
179166	Solve the Inequality for x	8(1/4x-3)+24<4(x+5)	$8 (\frac{1}{4} x - 3) + 24 < 4 (x + 5)$
179167	Solve the Inequality for x	\|x-2\|>3	$\| x - 2 \| > 3$
179168	Solve for t	8t = square root of 64t^2+9t-19	$8 t = \sqrt{64 t^{2} + 9 t - 19}$
179169	Factor	(x^2-x-12)	$(x^{2} - x - 12)$
179170	Graph	2/9x+3>4 5/9	$\frac{2}{9} x + 3 > 4 \frac{5}{9}$
179171	Solve for x	square root of x-3+ square root of x+1=3/(5-x)	$\sqrt{x - 3} + \sqrt{x + 1} = \frac{3}{5 - x}$
179172	Simplify	(4/(x+1)+2/x)/(2/(x+1))	$\frac{\frac{4}{x + 1} + \frac{2}{x}}{\frac{2}{x + 1}}$
179173	Solve the Inequality for x	7/(x+2)>=1/(x+2)	$\frac{7}{x + 2} \geq \frac{1}{x + 2}$
179174	Simplify	(3^-8)/(3^-4)	$\frac{3^{- 8}}{3^{- 4}}$
179175	Multiply	pi*pi	$π \cdot π$
179176	Find the Exact Value	-\|-2\|	$- \| - 2 \|$
179177	Factor	(x^2-2x-15)	$(x^{2} - 2 x - 15)$
179178	Find the Excluded Values	(x^2-3x-18)/(x^2-7x+6)	$\frac{x^{2} - 3 x - 18}{x^{2} - 7 x + 6}$
179179	Evaluate	pi/2+pi(1)	$\frac{π}{2} + π (1)$
179180	Evaluate	(1+0.05/12)	$(1 + \frac{0.05}{12})$
179181	Simplify the Radical Expression	3 square root of 27	$3 \sqrt{27}$
179182	Find the Sum and Product of the Roots of the Quadratic Equation	3x^2-4x-7=0	$3 x^{2} - 4 x - 7 = 0$
179183	Evaluate	2(4(7+4(5*3-9))-3(40-8))	$2 (4 (7 + 4 (5 \cdot 3 - 9)) - 3 (40 - 8))$
179184	Graph	f(x)=2cos(3x-(5pi)/6)-2	$f (x) = 2 \cos (3 x - \frac{5 π}{6}) - 2$
179185	Simplify	((x^2)^-2)/(xy^-4)*(x^3y)/((y^-3)^2)	$\frac{{(x^{2})}^{- 2}}{x y^{- 4}} \cdot \frac{x^{3} y}{{(y^{- 3})}^{2}}$
179186	Solve for x	4(4x+2)^2-19=37	$4 {(4 x + 2)}^{2} - 19 = 37$
179187	Solve for w	s=a+lw	$s = a + l w$
179188	Find the Exact Value	i^6	$i^{6}$
179189	Evaluate	square root of x^(3/4)x^-1	$\sqrt{x^{\frac{3}{4}} x^{- 1}}$
179190	Evaluate	-8-10-1+7(-1)	$- 8 - 10 \times - 1 + 7 \times (- 1)$
179191	Find the Product	(a+3)^3	${(a + 3)}^{3}$
179192	Solve the Inequality for x	2x^2<13x+7	$2 x^{2} < 13 x + 7$
179193	Simplify	xy^2 square root of 45x^5y^5	$x y^{2} \sqrt{45 x^{5} y^{5}}$
179194	Solve for x	square root of 4x=2 square root of 2x-3	$\sqrt{4 x} = 2 \sqrt{2 x - 3}$
179195	Factor	6m-n-3mn+2	$6 m - n - 3 m n + 2$
179196	Simplify	(4x^2-3x+8)-(3x^2-5)	$(4 x^{2} - 3 x + 8) - (3 x^{2} - 5)$
179197	Solve for W	P=2L+2W ; for W	$P = 2 L + 2 W$ ; for $W$
179198	Solve the Inequality for k	7<3.5k	$7 < 3.5 k$
179199	Solve for x	-3(x+2)+5x=-9	$- 3 (x + 2) + 5 x = - 9$
179200	Factor	a^5+2a+a^4+2	$a^{5} + 2 a + a^{4} + 2$