Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
11201	Factor	4x^2+8x	$4 x^{2} + 8 x$
11202	Write in Standard Form	(4m-7p)(4m-7p)	$(4 m - 7 p) (4 m - 7 p)$
11203	Factor	4x^2-19x+12	$4 x^{2} - 19 x + 12$
11204	Write in Standard Form	-4w(w^2-9)	$- 4 w (w^{2} - 9)$
11205	Combine	a square root of 125y-b square root of 45y	$a \sqrt{125 y} - b \sqrt{45 y}$
11206	Factor	4x-6	$4 x - 6$
11207	Convert to Regular Notation	2.4*10^-3	$2.4 \cdot 10^{- 3}$
11208	Factor	5x-5	$5 x - 5$
11209	Factor	6x^2-96	$6 x^{2} - 96$
11210	Factor	6x^2-23x-4	$6 x^{2} - 23 x - 4$
11211	Find the x and y Intercepts	f(x)=-3x^3-21x^2-30x	$f (x) = - 3 x^{3} - 21 x^{2} - 30 x$
11212	Write with Rational (Fractional) Exponents	square root of 72	$\sqrt{72}$
11213	Find the x and y Intercepts	f(x)=-2x^3-8x^2+10x	$f (x) = - 2 x^{3} - 8 x^{2} + 10 x$
11214	Write with Rational (Fractional) Exponents	square root of 14	$\sqrt{14}$
11215	Convert to Radical Form	3^(1/2)	$3^{\frac{1}{2}}$
11216	Convert to Radical Form	6x^(3/4)	$6 x^{\frac{3}{4}}$
11217	Solve by Substitution	x-9=y , x+y=6	$x - 9 = y$ , $x + y = 6$
11218	Find the Slope and y-intercept	6x+2y=-88	$6 x + 2 y = - 88$
11219	Find the Slope and y-intercept	y=2/3x-7	$y = \frac{2}{3} x - 7$
11220	Simplify	8/(2x+8)*(x^2-16)/4	$\frac{8}{2 x + 8} \cdot \frac{x^{2} - 16}{4}$
11221	Write in Standard Form	2x(x-3)=15	$2 x (x - 3) = 15$
11222	Solve by Substitution	-5x+y=-2 , -3x+6y=-12	$- 5 x + y = - 2$ , $- 3 x + 6 y = - 12$
11223	Solve by Substitution	9a+3b=30 , 8a+4b=28	$9 a + 3 b = 30$ , $8 a + 4 b = 28$
11224	Find the Domain and Range	log base b of x	$\log_{b} (x)$
11225	Convert to a Decimal	92%	$92 %$
11226	Find the Roots (Zeros)	f(x) = square root of x-4	$f (x) = \sqrt{x - 4}$
11227	Convert to a Decimal	1 2/3	$1 \frac{2}{3}$
11228	Convert to a Decimal	5.2%	$5.2 %$
11229	Expand the Logarithmic Expression	log of 100x	$\log (100 x)$
11230	Expand the Logarithmic Expression	log of x/1000	$\log (\frac{x}{1000})$
11231	Find the Center and Radius	x^2+y^2-12x+6y+36=0	$x^{2} + y^{2} - 12 x + 6 y + 36 = 0$
11232	Convert to Logarithmic Form	25=5^2	$25 = 5^{2}$
11233	Convert to Logarithmic Form	729=9^3	$729 = 9^{3}$
11234	Find the Sample Standard Deviation	83 , 85 , 82 , 93 , 83 , 84 , 95 , 87 , 86 , 94	$83$ , $85$ , $82$ , $93$ , $83$ , $84$ , $95$ , $87$ , $86$ , $94$
11235	Convert to Logarithmic Form	512=8^3	$512 = 8^{3}$
11236	Convert to Logarithmic Form	1/16=2^-4	$\frac{1}{16} = 2^{- 4}$
11237	Identify the Conic	(x-5)^2+y^2=64	${(x - 5)}^{2} + y^{2} = 64$
11238	Find the Inverse	f(x)=x/5-2	$f (x) = \frac{x}{5} - 2$
11239	Evaluate	log base 3 of 17	$\log_{3} (17)$
11240	Expand Using the Binomial Theorem	(-p+q)^5	${(- p + q)}^{5}$
11241	Evaluate	log base 3 of 21	$\log_{3} (21)$
11242	Evaluate	log of 10^9	$\log (10^{9})$
11243	Find the Roots (Zeros)	x^2-11x+17	$x^{2} - 11 x + 17$
11244	Evaluate	log of 1/4	$\log (\frac{1}{4})$
11245	Find the Roots (Zeros)	5x^2-5x+1	$5 x^{2} - 5 x + 1$
11246	Evaluate	natural log of e^-4	$\ln (e^{- 4})$
11247	Find the LCD	1/(x^2-5x)+3/(x^2+2x-35)	$\frac{1}{x^{2} - 5 x} + \frac{3}{x^{2} + 2 x - 35}$
11248	Convert to a Simplified Fraction	0.7	$0.7$
11249	Identify the Zeros and Their Multiplicities	x^4+2x^3-23x^2-24x+144=0	$x^{4} + 2 x^{3} - 23 x^{2} - 24 x + 144 = 0$
11250	Expand the Logarithmic Expression	log base 3 of square root of 3	$\log_{3} (\sqrt{3})$
11251	Find the Vertex	y=-5x^2+8x-7	$y = - 5 x^{2} + 8 x - 7$
11252	Expand the Logarithmic Expression	log base 3 of c/9	$\log_{3} (\frac{c}{9})$
11253	Convert to Interval Notation	x^2+5x>=-4	$x^{2} + 5 x \geq - 4$
11254	Expand the Logarithmic Expression	log base 8 of 1	$\log_{8} (1)$
11255	Expand the Logarithmic Expression	log base b of (x^2y)/(z^2)	$\log_{b} (\frac{x^{2} y}{z^{2}})$
11256	Find the Vertex	f(x)=3x^2-10x+4	$f (x) = 3 x^{2} - 10 x + 4$
11257	Simplify/Condense	4 log of x-6 log of x+2	$4 \log (x) - 6 \log (x + 2)$
11258	Find the Standard Form of the Parabola	y^2+x-8y-5=0	$y^{2} + x - 8 y - 5 = 0$
11259	Find the Center and Radius	x^2+y^2+4x-4y-1=0	$x^{2} + y^{2} + 4 x - 4 y - 1 = 0$
11260	Evaluate Using Scientific Notation	(1.6010^-6)/(2.010^-4)	$\frac{1.6 \cdot 10^{- 6}}{2 \cdot 10^{- 4}}$
11261	Evaluate Using Scientific Notation	(4.310^2)(4.0*10^-3)	$(4.3 \cdot 10^{2}) \cdot (4 \cdot 10^{- 3})$
11262	Subtract	20-8	$20 - 8$
11263	Subtract	180-116	$180 - 116$
11264	Subtract	180-64	$180 - 64$
11265	Subtract	180-120	$180 - 120$
11266	Subtract	(7a^2-3a)-(5a^2-5a)	$(7 a^{2} - 3 a) - (5 a^{2} - 5 a)$
11267	Write as a Function of y	x^2+y=121	$x^{2} + y = 121$
11268	Evaluate	1/64	$\frac{1}{64}$
11269	Solve by Completing the Square	x^2-5x=-9/4	$x^{2} - 5 x = - \frac{9}{4}$
11270	Evaluate	100^(-3/2)	$100^{- \frac{3}{2}}$
11271	Solve by Completing the Square	x^2+14x=-24	$x^{2} + 14 x = - 24$
11272	Evaluate	(2/5)^0	${(\frac{2}{5})}^{0}$
11273	Reduce	(x^2-y^2)/(8x-8y)	$\frac{x^{2} - y^{2}}{8 x - 8 y}$
11274	Evaluate	(10^2)^3	${(10^{2})}^{3}$
11275	Find the Axis of Symmetry	y=3x^2-5x+6	$y = 3 x^{2} - 5 x + 6$
11276	Evaluate	(1/7)^-2	${(\frac{1}{7})}^{- 2}$
11277	Solve Using the Square Root Property	(x-2)^2=4	${(x - 2)}^{2} = 4$
11278	Convert to Scientific Notation	4.910^5-5.810^4	$4.9 \cdot 10^{5} - 5.8 \cdot 10^{4}$
11279	Solve Using the Quadratic Formula	square root of x+2 square root of 3=0	$\sqrt{x} + 2 \sqrt{3} = 0$
11280	Solve Using the Quadratic Formula	-9x+10x^2+8=14	$- 9 x + 10 x^{2} + 8 = 14$
11281	Solve Using the Quadratic Formula	-7x^2+x+9=-6x	$- 7 x^{2} + x + 9 = - 6 x$
11282	Evaluate	4/15	$\frac{4}{15}$
11283	Evaluate	4^(1/3)	$4^{\frac{1}{3}}$
11284	Evaluate	16^(-3/2)	$16^{\frac{- 3}{2}}$
11285	Rationalize the Denominator	9/( square root of 5- square root of 8)	$\frac{9}{\sqrt{5} - \sqrt{8}}$
11286	Evaluate	3/1	$\frac{3}{1}$
11287	Rationalize the Denominator	( cube root of 6p^2)/( cube root of 2p)	$\frac{\sqrt[3]{6 p^{2}}}{\sqrt[3]{2 p}}$
11288	Rationalize the Denominator	(2 square root of 108)/( square root of 180y)	$\frac{2 \sqrt{108}}{\sqrt{180 y}}$
11289	Find the Roots (Zeros)	f(x)=n^2-36	$f (x) = n^{2} - 36$
11290	Add	(x+3)/(x-2)+(3x-8)/(x-2)	$\frac{x + 3}{x - 2} + \frac{3 x - 8}{x - 2}$
11291	Evaluate	e^2.1	$e^{2.1}$
11292	Add	(-6y^2)/(8y+5)+3/(y^4)	$\frac{- 6 y^{2}}{8 y + 5} + \frac{3}{y^{4}}$
11293	Evaluate	i^23	$i^{23}$
11294	Add	(-4a^2+3ab+6b^2)+(-2a^2+2ab-5b^2)	$(- 4 a^{2} + 3 a b + 6 b^{2}) + (- 2 a^{2} + 2 a b - 5 b^{2})$
11295	Add	(3b)/(b^2-2b+1)+4/(b^2+3b-4)	$\frac{3 b}{b^{2} - 2 b + 1} + \frac{4}{b^{2} + 3 b - 4}$
11296	Evaluate	square root of 10* square root of 10	$\sqrt{10} \cdot \sqrt{10}$
11297	Add	(3n)/8+n/6	$\frac{3 n}{8} + \frac{n}{6}$
11298	Add	(9y)/(4y+5)+(8y^2)/(6y+5)	$\frac{9 y}{4 y + 5} + \frac{8 y^{2}}{6 y + 5}$
11299	Evaluate	6/0	$\frac{6}{0}$
11300	Evaluate	e^1.8	$e^{1.8}$