Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194301	Graph	F(x)=((x+2)(x-5))/x	$F (x) = \frac{(x + 2) (x - 5)}{x}$
194302	Solve by Completing the Square	x^2-7x=-9x-2	$x^{2} - 7 x = - 9 x - 2$
194303	Find the Quadratic Equation Given the Roots	3 and 4	$3$ and $4$
194304	Solve the Inequality for x	cos(x)>0	$\cos (x) > 0$
194305	Solve the Inequality for x	\|18+x/2\|>=10	$\| 18 + \frac{x}{2} \| \geq 10$
194306	Find the Excluded Values	(y-2)/(y^2-4)	$\frac{y - 2}{y^{2} - 4}$
194307	Solve Using the Quadratic Formula	x^4-5x^2+4	$x^{4} - 5 x^{2} + 4$
194308	Evaluate	square root of -2^2+12+\|14\|	$\sqrt{- 2^{2} + 12} + \| 14 \|$
194309	Divide Using Long Polynomial Division	(3x-4x^3+6x^4+1)/(x+3)	$\frac{3 x - 4 x^{3} + 6 x^{4} + 1}{x + 3}$
194310	Simplify	(2a^2+6)/(5b^3)*(10b^4)/(3a^2+9)	$\frac{2 a^{2} + 6}{5 b^{3}} \cdot \frac{10 b^{4}}{3 a^{2} + 9}$
194311	Simplify	2+(2+6)x^2+2x+3x^2+7	$2 + (2 + 6) x^{2} + 2 x + 3 x^{2} + 7$
194312	Write the Fraction in Simplest Form	1/4+1/4	$\frac{1}{4} + \frac{1}{4}$
194313	Evaluate Using the Given Value	13+6/y when y=6	$13 + \frac{6}{y}$ when $y = 6$
194314	Solve the Inequality for y	5<=3y+8<17	$5 \leq 3 y + 8 < 17$
194315	Solve for x	4^(x^2-11x+30)=16	$4^{x^{2} - 11 x + 30} = 16$
194316	Convert to Meters	9cm	$9 cm$
194317	Find the Exact Value	1-2sin(105 degrees )^2	$1 - 2 \sin^{2} (105 °)$
194318	Subtract	Subtract -3x^2+4x+10 from 2x^2-2x	Subtract $- 3 x^{2} + 4 x + 10$ from $2 x^{2} - 2 x$
194319	Evaluate	2(3)^(2-1)	$2 {(3)}^{2 - 1}$
194320	Solve for y	xy=x-y	$x y = x - y$
194321	Solve for x	1/(3x-3)+1/(4x+4)=1/(12x-12)	$\frac{1}{3 x - 3} + \frac{1}{4 x + 4} = \frac{1}{12 x - 12}$
194322	Find the Exact Value	-4/7p+(-2/7p)+1/7	$- \frac{4}{7} p + (- \frac{2}{7} p) + \frac{1}{7}$
194323	Simplify	(x-4)/(x^2+5x+6)+(x-1)/(x^2-4)	$\frac{x - 4}{x^{2} + 5 x + 6} + \frac{x - 1}{x^{2} - 4}$
194324	Solve for H	V=LWH	$V = L W H$
194325	Find the Holes in the Graph	(x^2-4)/(-x-2)	$\frac{x^{2} - 4}{- x - 2}$
194326	Solve the Inequality for y	y/3-3/4>1/2	$\frac{y}{3} - \frac{3}{4} > \frac{1}{2}$
194327	Solve for x	2x-1+(x+5)/2=(3x-7)/10	$2 x - 1 + \frac{x + 5}{2} = \frac{3 x - 7}{10}$
194328	Graph Using a Table of Values	y=-2/x	$y = - \frac{2}{x}$
194329	Graph	(x^2-8x+12)/(x^2+x-6)	$\frac{x^{2} - 8 x + 12}{x^{2} + x - 6}$
194330	Solve the Inequality for x	\|x\|<12	$\| x \| < 12$
194331	Graph Using a Table of Values	y=4\|x\|	$y = 4 \| x \|$
194332	Solve for q	-6q+1>=2q-10	$- 6 q + 1 \geq 2 q - 10$
194333	Solve for x	-5/(6x)-1/(3x)=-5	$- \frac{5}{6 x} - \frac{1}{3 x} = - 5$
194334	Simplify	-(9v-3.6w)+9.1	$- (9 v - 3.6 w) + 9.1$
194335	Solve for c	1/(c+5)=2/3	$\frac{1}{c + 5} = \frac{2}{3}$
194336	Solve for x	-2/3x+1/3+x=2/5	$- \frac{2}{3} x + \frac{1}{3} + x = \frac{2}{5}$
194337	Find the LCD	(m+n)/(12mn) and (n+m)/(18m^3n)	$\frac{m + n}{12 m n}$ and $\frac{n + m}{18 m^{3} n}$
194338	Evaluate	3*5(0+2)-4	$3 \cdot 5 (0 + 2) - 4$
194339	Simplify	( square root of 2+ square root of 3)( square root of 2- square root of 3+1)	$(\sqrt{2} + \sqrt{3}) (\sqrt{2} - \sqrt{3} + 1)$
194340	Solve for y	y = cube root of -1	$y = \sqrt[3]{- 1}$
194341	Divide Using Synthetic Division	(2x+x^3+7x^2-40)÷(x-2)	$(2 x + x^{3} + 7 x^{2} - 40) \div (x - 2)$
194342	Solve for x	-2(-x-1/4)-8=-3/2(-2x+1)-1	$- 2 (- x - \frac{1}{4}) - 8 = - \frac{3}{2} (- 2 x + 1) - 1$
194343	Multiply	((x+5)^2)/(x+6)*((x+6)^3)/(x+5)	$\frac{{(x + 5)}^{2}}{x + 6} \cdot \frac{{(x + 6)}^{3}}{x + 5}$
194344	Solve for y	y=0^2+3	$y = 0^{2} + 3$
194345	Solve the System of Inequalities	-44>-2x-8>=-8	$- 44 > - 2 x - 8 \geq - 8$
194346	Find the Vertex Form	y=x^2+x+1	$y = x^{2} + x + 1$
194347	Find the Inverse	y=2/(x^2+1)	$y = \frac{2}{x^{2} + 1}$
194348	Factor	x^3(x-y)^9-y^3(x-y)^9	$x^{3} {(x - y)}^{9} - y^{3} {(x - y)}^{9}$
194349	Simplify	fourth root of 9^3	$\sqrt[4]{9^{3}}$
194350	Factor	36rs^2-72r^2s+60rs	$36 r s^{2} - 72 r^{2} s + 60 r s$
194351	Factor	(x^2)/49-64	$\frac{x^{2}}{49} - 64$
194352	Solve for x	x^3=3x	$x^{3} = 3 x$
194353	Solve the Inequality for x	x-3<=-12	$x - 3 \leq - 12$
194354	Find the Distance Between Two Points	(0,1) and (-5,7)	$(0, 1)$ and $(- 5, 7)$
194355	Simplify	(((ab^2c)^-3)/(b^-3))^3	${(\frac{{(a b^{2} c)}^{- 3}}{b^{- 3}})}^{3}$
194356	Factor	(x+9)(x-2)-9x-6	$(x + 9) (x - 2) - 9 x - 6$
194357	Simplify	5m^(n+1)*3m^(2n)	$5 m^{n + 1} \cdot 3 m^{2 n}$
194358	Solve for b	9+3b+2(b-1)=67	$9 + 3 b + 2 (b - 1) = 67$
194359	Solve for b	12(x-a)(x-b)=12x^2-7x-12	$12 (x - a) (x - b) = 12 x^{2} - 7 x - 12$
194360	Find the Product	(4x)^2	${(4 x)}^{2}$
194361	Graph	x+2y<=6 2x+y<=6 x>=0 y>=0	$x + 2 y \leq 6$ $2 x + y \leq 6$ $x \geq 0$ $y \geq 0$
194362	Write in Standard Form	3x(x-2)=-7x+1	$3 x (x - 2) = - 7 x + 1$
194363	Find the Quotient	(x^3+7x^2-x+1)/(x+8)	$\frac{x^{3} + 7 x^{2} - x + 1}{x + 8}$
194364	Solve for t	6=5t-2t-3	$6 = 5 t - 2 t - 3$
194365	Find the Distance Between Two Points	(6,9) and (1,-3)	$(6, 9)$ and $(1, - 3)$
194366	Solve the Inequality for x	2x-1>=0	$2 x - 1 \geq 0$
194367	Solve for a	(1/9)^a*(1/3)^a=3^(16-a)	${(\frac{1}{9})}^{a} \cdot {(\frac{1}{3})}^{a} = 3^{16 - a}$
194368	Evaluate	( cube root of x)^3	${(\sqrt[3]{x})}^{3}$
194369	Graph	1=\|y\|+x^2	$1 = \| y \| + x^{2}$
194370	Find the Perpendicular Line	(2,9) and perpendicular to 3x+5y=1	$(2, 9)$ and perpendicular to $3 x + 5 y = 1$
194371	Write in Standard Form	-3(y+2)^2-5+6y	$- 3 {(y + 2)}^{2} - 5 + 6 y$
194372	Simplify	4x+y+7-2y+6+x	$4 x + y + 7 - 2 y + 6 + x$
194373	Solve the Inequality for a	3a+7<=16	$3 a + 7 \leq 16$
194374	Solve the Inequality for x	5/2x<=6+5(2x+3)	$\frac{5}{2} x \leq 6 + 5 (2 x + 3)$
194375	Simplify	(12x^7y^11)/(2x^4y^5)*(-5x^6y^10)/(3y)	$\frac{12 x^{7} y^{11}}{2 x^{4} y^{5}} \cdot \frac{- 5 x^{6} y^{10}}{3 y}$
194376	Solve for x	8^(x-1)=2^(3x+8)	$8^{x - 1} = 2^{3 x + 8}$
194377	Solve for x	\|2x-5\|=4-\|x-3\|	$\| 2 x - 5 \| = 4 - \| x - 3 \|$
194378	Find the LCD	5/(9m^2n) and 5/(16mn^3)	$\frac{5}{9 m^{2} n}$ and $\frac{5}{16 m n^{3}}$
194379	Simplify	2(2x^2)^2	$2 {(2 x^{2})}^{2}$
194380	Simplify	-(6a-3b)-(5a-9b-(2c-9b))	$- (6 a - 3 b) - (5 a - 9 b - (2 c - 9 b))$
194381	Solve the System of Inequalities	-22>-5x-7>=-3	$- 22 > - 5 x - 7 \geq - 3$
194382	Solve for x	x/-10=-10/x	$\frac{x}{- 10} = \frac{- 10}{x}$
194383	Find the End Behavior	f(x)=-931x-7x^4-203x^2+91x^3+2058	$f (x) = - 931 x - 7 x^{4} - 203 x^{2} + 91 x^{3} + 2058$
194384	Solve for x	log of 9(x+4) = log of 2(6x)	$\log (9) (x + 4) = \log (2) (6 x)$
194385	Simplify	((3r^-4s^2)/(2r^3s))^-3((6r^2s^3)/(8rs^5))^2	${(\frac{3 r^{- 4} s^{2}}{2 r^{3} s})}^{- 3} {(\frac{6 r^{2} s^{3}}{8 r s^{5}})}^{2}$
194386	Simplify	square root of 36ab^4c^5	$\sqrt{36 a b^{4} c^{5}}$
194387	Simplify	(4n^4*n)^2	${(4 n^{4} \cdot n)}^{2}$
194388	Evaluate	(2m)/(2m+3)-(2m)/(2m-3)=1	$\frac{2 m}{2 m + 3} - \frac{2 m}{2 m - 3} = 1$
194389	Simplify	2/5 square root of -225	$\frac{2}{5} \sqrt{- 225}$
194390	Evaluate	a^2+3a^(-1/5)	$a^{2} + 3 a^{- \frac{1}{5}}$
194391	Find the Equation Using Slope-Intercept Form	(-5,4) ; slope -3	$(- 5, 4)$ ; slope $- 3$
194392	Solve for θ	sin(theta/2)=-1	$\sin (\frac{θ}{2}) = - 1$
194393	Solve the System of Equations	x+y=1 y=x^2-5	$x + y = 1$ $y = x^{2} - 5$
194394	Solve for a	A=a/360pir^2	$A = \frac{a}{360} π r^{2}$
194395	Solve for y	x+sy=t	$x + s y = t$
194396	Simplify	(2/3y^3+3/4y^2+1/2)+(1/3y^3+1/5y^2-1/6)	$(\frac{2}{3} y^{3} + \frac{3}{4} y^{2} + \frac{1}{2}) + (\frac{1}{3} y^{3} + \frac{1}{5} y^{2} - \frac{1}{6})$
194397	Multiply	(cos(theta))/(1-csc(theta))*(1+csc(theta))/(1+csc(theta))	$\frac{\cos (θ)}{1 - \csc (θ)} \cdot \frac{1 + \csc (θ)}{1 + \csc (θ)}$
194398	Solve for q	I=q/t	$I = \frac{q}{t}$
194399	Solve for n	a/(b(c+n))=K	$\frac{a}{b (c + n)} = K$
194400	Find f(g(x))	f(x)=(x+1)/2 g(x)=2x-1	$f (x) = \frac{x + 1}{2}$ $g (x) = 2 x - 1$