Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
9901	Find the Axis of Symmetry	y-4x=7-x^2	$y - 4 x = 7 - x^{2}$
9902	Evaluate	sixth root of 2	$\sqrt[6]{2}$
9903	Find the Vertex	y=-3x^2-12x-9	$y = - 3 x^{2} - 12 x - 9$
9904	Find the x and y Intercepts	f(x)=x^3+x^2-16x-16	$f (x) = x^{3} + x^{2} - 16 x - 16$
9905	Evaluate	( cube root of 16)/( cube root of 2)	$\frac{\sqrt[3]{16}}{\sqrt[3]{2}}$
9906	Find the Roots (Zeros)	y=(x+3)(x-5)(x-6)	$y = (x + 3) (x - 5) (x - 6)$
9907	Find the Roots (Zeros)	x^7-3x^5+4x^2-1=0	$x^{7} - 3 x^{5} + 4 x^{2} - 1 = 0$
9908	Evaluate	15/( square root of 3)	$\frac{15}{\sqrt{3}}$
9909	Find the Roots (Zeros)	27x^2-324=-x^4	$27 x^{2} - 324 = - x^{4}$
9910	Expand the Logarithmic Expression	log base 2 of 5x	$\log_{2} (5 x)$
9911	Expand the Logarithmic Expression	log of square root of x	$\log (\sqrt{x})$
9912	Evaluate	( square root of 3- square root of 10)^2	${(\sqrt{3} - \sqrt{10})}^{2}$
9913	Expand the Logarithmic Expression	natural log of seventh root of x	$\ln (\sqrt[7]{x})$
9914	Expand Using the Binomial Theorem	(y-5)^2	${(y - 5)}^{2}$
9915	Expand Using the Binomial Theorem	(3x-y)^5	${(3 x - y)}^{5}$
9916	Expand Using the Binomial Theorem	(4x-3)^3	${(4 x - 3)}^{3}$
9917	Add	(-6y^3+8yz-3z^2)+(6y^4-8yz-3)	$(- 6 y^{3} + 8 y z - 3 z^{2}) + (6 y^{4} - 8 y z - 3)$
9918	Write in Standard Form	y=-2x+1	$y = - 2 x + 1$
9919	Find the Vertex	y=x^2+2x-4	$y = x^{2} + 2 x - 4$
9920	Multiply	square root of x+3* square root of x-3	$\sqrt{x + 3} \cdot \sqrt{x - 3}$
9921	Multiply	(3n^2+2n+4)(2n-1)	$(3 n^{2} + 2 n + 4) (2 n - 1)$
9922	Find the x and y Intercepts	5x-2y=18	$5 x - 2 y = 18$
9923	Find the Vertex	y=7/4x^2	$y = \frac{7}{4} x^{2}$
9924	Find the Vertex	y=(x-2)^2	$y = {(x - 2)}^{2}$
9925	Find the Vertex	y=2/3x^2	$y = \frac{2}{3} x^{2}$
9926	Find the Vertex	y=2x^2+4x-3	$y = 2 x^{2} + 4 x - 3$
9927	Find Three Ordered Pair Solutions	5x-2y=18	$5 x - 2 y = 18$
9928	Find the Vertex	y=3x^2-4x-2	$y = 3 x^{2} - 4 x - 2$
9929	Find the Constant of Variation	4x=-6y	$4 x = - 6 y$
9930	Find the Vertex	y=4x^2+5x-1	$y = 4 x^{2} + 5 x - 1$
9931	Convert to Interval Notation	2<x<3	$2 < x < 3$
9932	Graph	f(x) = square root of x-1	$f (x) = \sqrt{x - 1}$
9933	Convert to Interval Notation	x^2+9x<22	$x^{2} + 9 x < 22$
9934	Simplify	cube root of y^11	$\sqrt[3]{y^{11}}$
9935	Graph	2x-3y=9	$2 x - 3 y = 9$
9936	Write with Rational (Fractional) Exponents	sixth root of k^5	$\sqrt[6]{k^{5}}$
9937	Expand the Trigonometric Expression	-4w(w^2-9)	$- 4 w (w^{2} - 9)$
9938	Graph	9x^2+16y^2=144	$9 x^{2} + 16 y^{2} = 144$
9939	Graph	3x-2y<10	$3 x - 2 y < 10$
9940	Find the Roots (Zeros)	f(x)=6x^2+10x-1	$f (x) = 6 x^{2} + 10 x - 1$
9941	Graph	f(x)=-1/2x^2	$f (x) = - \frac{1}{2} x^{2}$
9942	Find the Slope	(-4,-1) , (2,-7)	$(- 4, - 1) (2, - 7)$
9943	Solve Using the Square Root Property	(x-6)^2=49	${(x - 6)}^{2} = 49$
9944	Solve Using the Square Root Property	3x^2=81	$3 x^{2} = 81$
9945	Solve Using the Square Root Property	(X-3)^2=64	${(X - 3)}^{2} = 64$
9946	Rationalize the Denominator	2/( square root of 2+1)	$\frac{2}{\sqrt{2} + 1}$
9947	Solve Using the Square Root Property	(x-4)^2=64	${(x - 4)}^{2} = 64$
9948	Convert to Logarithmic Form	1=10^0	$1 = 10^{0}$
9949	Solve Using the Square Root Property	x^2-4=0	$x^{2} - 4 = 0$
9950	Combine	7.4z-5(-1.6z+2.4)	$7.4 z - 5 (- 1.6 z + 2.4)$
9951	Solve Using the Square Root Property	x^2-15=0	$x^{2} - 15 = 0$
9952	Write in Standard Form	(-5+i)-(-21-23i)	$(- 5 + i) - (- 21 - 23 i)$
9953	Convert to Scientific Notation	0.00002	$0.00002$
9954	Graph	2^(-x)	$2^{- x}$
9955	Subtract	180-115	$180 - 115$
9956	Solve Using the Square Root Property	3x^2-18=0	$3 x^{2} - 18 = 0$
9957	Subtract	(4x+1)/(x^2+3)-(2x-5)/(x^2+3)	$\frac{4 x + 1}{x^{2} + 3} - \frac{2 x - 5}{x^{2} + 3}$
9958	Solve Using the Square Root Property	9x^2=16	$9 x^{2} = 16$
9959	Subtract	12/(5x)-7/(6x)	$\frac{12}{5 x} - \frac{7}{6 x}$
9960	Find the Slope	y=5x-2	$y = 5 x - 2$
9961	Find the x and y Intercepts	f(x)=x^3+8x^2+15x	$f (x) = x^{3} + 8 x^{2} + 15 x$
9962	Find the Domain	y=2 square root of 2x-2	$y = 2 \sqrt{2 x - 2}$
9963	Find the Domain	y = square root of 2x-4	$y = \sqrt{2 x - 4}$
9964	Convert to a Percentage	0.7	$0.7$
9965	Find the Inverse	x^3+11	$x^{3} + 11$
9966	Convert to a Percentage	7/10	$\frac{7}{10}$
9967	Find the x and y Intercepts	y=-x^2-5x-6	$y = - x^{2} - 5 x - 6$
9968	Multiply	(-3a^2b^3)(4ab^2)	$(- 3 a^{2} b^{3}) (4 a b^{2})$
9969	Graph	y=x^2-6x	$y = x^{2} - 6 x$
9970	Multiply	(p^8)(-2p^2)	$(p^{8}) (- 2 p^{2})$
9971	Multiply	18*3.14	$18 \cdot 3.14$
9972	Multiply	42*2	$42 \cdot 2$
9973	Graph	x-6y=7	$x - 6 y = 7$
9974	Find the Domain and Range	f(x) = log base 6 of x	$f (x) = \log_{6} (x)$
9975	Find the Degree, Leading Term, and Leading Coefficient	x^3+1/3x^4+6x+5	$x^{3} + \frac{1}{3} x^{4} + 6 x + 5$
9976	Expand the Logarithmic Expression	log of cube root of (x^5z)/(y^2)	$\log (\sqrt[3]{\frac{x^{5} z}{y^{2}}})$
9977	Graph	y-5x=0	$y - 5 x = 0$
9978	Graph	y>3x	$y > 3 x$
9979	Find the Roots (Zeros)	f(x)=4x^3-13x^2+9x+2	$f (x) = 4 x^{3} - 13 x^{2} + 9 x + 2$
9980	Graph	y>x+3	$y > x + 3$
9981	Add	(2a^2+ab+2b)+(4a^2-3ab+9)	$(2 a^{2} + a b + 2 b) + (4 a^{2} - 3 a b + 9)$
9982	Graph	y=-4x(x-1)(x-2)	$y = - 4 x (x - 1) (x - 2)$
9983	Find the Perfect Square Trinomial	y^2+0.1y	$y^{2} + 0.1 y$
9984	Graph	y=-1/3x+4	$y = - \frac{1}{3} x + 4$
9985	Expand the Trigonometric Expression	8r^2(r^2-2)	$8 r^{2} (r^{2} - 2)$
9986	Graph	y=-3x-5	$y = - 3 x - 5$
9987	Find the Focus	12y=(x-1)^2-48	$12 y = {(x - 1)}^{2} - 48$
9988	Solve for x	3^(4x)=27^(x-3)	$3^{4 x} = 27^{x - 3}$
9989	Find the Focus	y=2x^2+11x+5	$y = 2 x^{2} + 11 x + 5$
9990	Identify the Conic	(x^2)/36-y^2=1	$\frac{x^{2}}{36} - y^{2} = 1$
9991	Graph	f(x)=4x-5	$f (x) = 4 x - 5$
9992	Graph	f(x)=-3x+4	$f (x) = - 3 x + 4$
9993	Rationalize the Denominator	11/( square root of 8x)	$\frac{11}{\sqrt{8 x}}$
9994	Graph	f(x)=7	$f (x) = 7$
9995	Rationalize the Denominator	(3 square root of 6-5)/( square root of 6+2)	$\frac{3 \sqrt{6} - 5}{\sqrt{6} + 2}$
9996	Graph	f(x)=b^x	$f (x) = b^{x}$
9997	Expand Using the Binomial Theorem	(2z+5k)^4	${(2 z + 5 k)}^{4}$
9998	Graph	f(x) = log base 3 of x-1	$f (x) = \log_{3} (x - 1)$
9999	Write as a Single Logarithm	3 natural log of a-1/2( natural log of b+ natural log of c^2)	$3 \ln (a) - \frac{1}{2} (\ln (b) + \ln (c^{2}))$
10000	Graph	f(x)=4^x-3	$f (x) = 4^{x} - 3$