Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176101	Graph	f(x)=4x if x<0; -4x if x>=0	$f (x) = {\begin{cases} 4 x & x < 0 \\ - 4 x & x \geq 0 \end{cases}$
176102	Solve for x	1/(2x-3)=4	$\frac{1}{2 x - 3} = 4$
176103	Solve for n	n^3-n=7n^2-7	$n^{3} - n = 7 n^{2} - 7$
176104	Solve the Inequality for x	(x+3)/(x-1)>=0	$\frac{x + 3}{x - 1} \geq 0$
176105	Simplify	sec(x)-sec(x)*sin(x)^2	$\sec (x) - \sec (x) \cdot \sin^{2} (x)$
176106	Find the First Term	a_n=n^2	$a_{n} = n^{2}$
176107	Evaluate	h(t)=-20+11t	$h (t) = - 20 + 11 t$
176108	Solve for V₀	a=(V_1-V_0)/t	$a = \frac{V_{1} - V_{0}}{t}$
176109	Factor	x^4+x^3-19x^2+11x+30	$x^{4} + x^{3} - 19 x^{2} + 11 x + 30$
176110	Solve for b	3a+(4b+2)i=9-6i	$3 a + (4 b + 2) i = 9 - 6 i$
176111	Evaluate	4 choose 6	${}_{4}C_{6}$
176112	Find the Inverse	f(x)=(x+8)^(1/5)	$f (x) = {(x + 8)}^{\frac{1}{5}}$
176113	Simplify	(3- square root of -2)* square root of -72- square root of -50+1	$(3 - \sqrt{- 2}) \cdot \sqrt{- 72} - \sqrt{- 50} + 1$
176114	Solve for x	\|x+8\|>=6	$\| x + 8 \| \geq 6$
176115	Find the Roots (Zeros)	x-3	$x - 3$
176116	Solve for x	(x-2)/(2(x-3))=x/(x+5)	$\frac{x - 2}{2 (x - 3)} = \frac{x}{x + 5}$
176117	Graph	f(x)=x^5-x^4+x^2+5	$f (x) = x^{5} - x^{4} + x^{2} + 5$
176118	Simplify	5i*(5+3i)	$5 i \cdot (5 + 3 i)$
176119	Solve for x	(2^(x^2-2x))^(4-x)=1	${(2^{x^{2} - 2 x})}^{4 - x} = 1$
176120	Find the x and y Intercepts	f(x)=(x-5)/(4x)	$f (x) = \frac{x - 5}{4 x}$
176121	Solve for x	2/5x^2-1/4x=0	$\frac{2}{5} x^{2} - \frac{1}{4} x = 0$
176122	Solve the Inequality for x	\|3x+2\|>7	$\| 3 x + 2 \| > 7$
176123	Simplify	3y^2 square root of 180x^3y^6	$3 y^{2} \sqrt{180 x^{3} y^{6}}$
176124	Find the Domain and Range	y=-1/2x^2	$y = - \frac{1}{2} x^{2}$
176125	Factor	12w+7w^3-5w^6	$12 w + 7 w^{3} - 5 w^{6}$
176126	Simplify	(5g+3h+4)*2 ?	$(5 g + 3 h + 4) \cdot 2$ ?
176127	Solve the Inequality for x	-3/4x+2>11	$- \frac{3}{4} x + 2 > 11$
176128	Simplify	(9(x/2)-4)/(5(x/2)-1)	$\frac{9 (\frac{x}{2}) - 4}{5 (\frac{x}{2}) - 1}$
176129	Solve for u	3/5(1/2u+6-5u)=9/10u	$\frac{3}{5} (\frac{1}{2} u + 6 - 5 u) = \frac{9}{10} u$
176130	Solve for g	7h+f=2h+g	$7 h + f = 2 h + g$
176131	Simplify	(6/5)^-2	${(\frac{6}{5})}^{- 2}$
176132	Simplify	(4x^3)/(7x)*(2x)/(3x^4)	$\frac{4 x^{3}}{7 x} \cdot \frac{2 x}{3 x^{4}}$
176133	Solve for y	square root of y-7=3	$\sqrt{y} - 7 = 3$
176134	Solve for p	(p+5)/(p^2+p)=1/(p^2+p)-(p-6)/(p+1)	$\frac{p + 5}{p^{2} + p} = \frac{1}{p^{2} + p} - \frac{p - 6}{p + 1}$
176135	Simplify	(-1/2a^7b^3)(5a^2b^2)	$(- \frac{1}{2} a^{7} b^{3}) (5 a^{2} b^{2})$
176136	Find g(f(x))	f(x)=x-3 g(x)=x+3	$f (x) = x - 3$ $g (x) = x + 3$
176137	Solve for x	1/3(2x-y)=z	$\frac{1}{3} (2 x - y) = z$
176138	Simplify	25-4-9x+2x	$25 - 4 - 9 x + 2 x$
176139	Find the Product	(2x-1)(2x+1)	$(2 x - 1) (2 x + 1)$
176140	Solve by Substitution	-3y=x -8x+2y=26	$- 3 y = x$ $- 8 x + 2 y = 26$
176141	Graph	-16<=8/3t	$- 16 \leq \frac{8}{3} t$
176142	Write in Standard Form	-3+4x^2-2x=4x	$- 3 + 4 x^{2} - 2 x = 4 x$
176143	Find the Holes in the Graph	f(x)=(3x^2+30x)/(2x+20)	$f (x) = \frac{3 x^{2} + 30 x}{2 x + 20}$
176144	Solve for f	-5/2(4-f)=3+1/3(6+f)-2	$- \frac{5}{2} (4 - f) = 3 + \frac{1}{3} (6 + f) - 2$
176145	Solve for θ	csc(theta)+ square root of 2=0	$\csc (θ) + \sqrt{2} = 0$
176146	Solve for b	5b=27+8(b-3)	$5 b = 27 + 8 (b - 3)$
176147	Find the Function	f(x)=3x^2-2x+1	$f (x) = 3 x^{2} - 2 x + 1$
176148	Find g(f(x))	f(x)=x+3 g(x)=x-3	$f (x) = x + 3$ $g (x) = x - 3$
176149	Convert to Radical Form	2^-1.5	$2^{- 1.5}$
176150	Write in Standard Form	(-3x-1)(3x^2-9x+4)	$(- 3 x - 1) (3 x^{2} - 9 x + 4)$
176151	Simplify	(m+n+3)+(m+n+4)	$(m + n + 3) + (m + n + 4)$
176152	Evaluate	4/9(2n-3)	$\frac{4}{9} (2 n - 3)$
176153	Solve for x	3/(5x+7)=2/(3x+9)	$\frac{3}{5 x + 7} = \frac{2}{3 x + 9}$
176154	Graph	(4,pi/3)	$(4, \frac{π}{3})$
176155	Solve for b	8^(b-1)=2^(4b+4)	$8^{b - 1} = 2^{4 b + 4}$
176156	Evaluate	4x^-2	$4 x^{- 2}$
176157	Find the Holes in the Graph	f(x)=(3x^2+12x)/(x^2+5x+4)	$f (x) = \frac{3 x^{2} + 12 x}{x^{2} + 5 x + 4}$
176158	Multiply	(x+2)/(x-4)*(3x)/(x+4)	$\frac{x + 2}{x - 4} \cdot \frac{3 x}{x + 4}$
176159	Evaluate	(256^(4/7))/(2^(4/7))	$\frac{256^{\frac{4}{7}}}{2^{\frac{4}{7}}}$
176160	Solve the Inequality for r	r-4<-6	$r - 4 < - 6$
176161	Solve the Inequality for x	x+4<3(x-2)	$x + 4 < 3 (x - 2)$
176162	Write in Slope-Intercept Form	y-y_1=m(x-x_1)	$y - y_{1} = m (x - x_{1})$
176163	Simplify	-10x-(8x-4y+2z)+(5x-4y-2z)-(10x-3y-4z)	$- 10 x - (8 x - 4 y + 2 z) + (5 x - 4 y - 2 z) - (10 x - 3 y - 4 z)$
176164	Solve for q	-q+4/3(q-2)+1=2/9q-4	$- q + \frac{4}{3} (q - 2) + 1 = \frac{2}{9} q - 4$
176165	Find the Function	g(x)=3x-2	$g (x) = 3 x - 2$
176166	Graph	f(x)=(2(x-2))/(x+2)	$f (x) = \frac{2 (x - 2)}{x + 2}$
176167	Solve the System of Inequalities	-39<=1/2(10x-18)<=16	$- 39 \leq \frac{1}{2} (10 x - 18) \leq 16$
176168	Write the Fraction in Simplest Form	1 1/2+3/4	$1 \frac{1}{2} + \frac{3}{4}$
176169	Graph	1/x=y	$\frac{1}{x} = y$
176170	Factor by Grouping	4x^2-y^2	$4 x^{2} - y^{2}$
176171	Solve for x	2^(x^2+4x)=4^-2	$2^{x^{2} + 4 x} = 4^{- 2}$
176172	Convert to Interval Notation	-x^2+6x+7>=0	$- x^{2} + 6 x + 7 \geq 0$
176173	Graph Using a Table of Values	g(x)=4^x+2	$g (x) = 4^{x} + 2$
176174	Graph	f(x)=(x+1)(x^2-16)	$f (x) = (x + 1) (x^{2} - 16)$
176175	Solve for x	(x+8y)/4=9y	$\frac{x + 8 y}{4} = 9 y$
176176	Solve for x	x-(x+7)/(x-3)=5	$x - \frac{x + 7}{x - 3} = 5$
176177	Find the Roots (Zeros)	(x+2)(x-2)=0	$(x + 2) (x - 2) = 0$
176178	Solve Using the Quadratic Formula	36x^2-49/64=0	$36 x^{2} - \frac{49}{64} = 0$
176179	Graph	f(x)=3 if x>0; 1 if x=0; x-1 if x<0	$f (x) = {\begin{cases} 3 & x > 0 \\ 1 & x = 0 \\ x - 1 & x < 0 \end{cases}$
176180	Solve Using the Quadratic Formula	(x+10)/(x-25)=4/(x-10)	$\frac{x + 10}{x - 25} = \frac{4}{x - 10}$
176181	Write in Standard Form	5m^2n+9n^3-mn^2+2m^3	$5 m^{2} n + 9 n^{3} - m n^{2} + 2 m^{3}$
176182	Graph	F(x)=\|x\|-x	$F (x) = \| x \| - x$
176183	Solve for n	9(n-4)-7n=32-2(n+8)	$9 (n - 4) - 7 n = 32 - 2 (n + 8)$
176184	Factor	ax+x^2+ab+bx	$a x + x^{2} + a b + b x$
176185	Find the Exact Value	fourth root of 1296	$\sqrt[4]{1296}$
176186	Solve by Substitution	4x-6=y x-y=-9	$4 x - 6 = y$ $x - y = - 9$
176187	Simplify	(5-4i)/(8+6i)	$\frac{5 - 4 i}{8 + 6 i}$
176188	Find the Holes in the Graph	f(x)=(x+10)/(x^2+8x+12)	$f (x) = \frac{x + 10}{x^{2} + 8 x + 12}$
176189	Graph	f(x)=x/2+3	$f (x) = \frac{x}{2} + 3$
176190	Find the Domain and Range	(x)=x^3	$(x) = x^{3}$
176191	Evaluate	5+(30-(6-1)^2)	$5 + (30 - {(6 - 1)}^{2})$
176192	Solve the Absolute Value Inequality for x	\|x-2\|<1	$\| x - 2 \| < 1$
176193	Solve Using the Quadratic Formula	2/3w^2+3/4w=-1/6	$\frac{2}{3} w^{2} + \frac{3}{4} w = - \frac{1}{6}$
176194	Solve for x	3x-12x=24-9x	$3 x - 12 x = 24 - 9 x$
176195	Simplify	square root of 25- square root of -4+ square root of 9- square root of -81	$\sqrt{25} - \sqrt{- 4} + \sqrt{9} - \sqrt{- 81}$
176196	Factor	1-64p^6	$1 - 64 p^{6}$
176197	Solve by Substitution	y=8x y=4x+8	$y = 8 x$ $y = 4 x + 8$
176198	Solve the System of Inequalities	35>4x+3 or 4x+3<=43	$35 > 4 x + 3$ or $4 x + 3 \leq 43$
176199	Solve the System of Inequalities	-4x+10>=38 and -4x+10>-2	$- 4 x + 10 \geq 38$ and $- 4 x + 10 > - 2$
176200	Find the Slope and y-intercept	m=2/3	$m = \frac{2}{3}$