Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
9001	Find the Vertex	f(x)=1/2\|x\|-4/5	$f (x) = \frac{1}{2} \| x \| - \frac{4}{5}$
9002	Find the Slope and y-intercept	2y=5x+7	$2 y = 5 x + 7$
9003	Convert from Radians to Degrees	arcsin(( square root of 3)/2)	$\arcsin (\frac{\sqrt{3}}{2})$
9004	Rationalize the Denominator	(5+ square root of 2)/(8- square root of 2)	$\frac{5 + \sqrt{2}}{8 - \sqrt{2}}$
9005	Evaluate	25/3	$\frac{25}{3}$
9006	Convert to Scientific Notation	0.3643	$0.3643$
9007	Evaluate	24/5	$\frac{24}{5}$
9008	Divide	48÷2	$48 \div 2$
9009	Evaluate	21/4	$\frac{21}{4}$
9010	Combine	2/5m-4/5-3/5m	$\frac{2}{5} m - \frac{4}{5} - \frac{3}{5} m$
9011	Evaluate	216^(-4/3)	$216^{- \frac{4}{3}}$
9012	Evaluate	cube root of 4* cube root of 16	$\sqrt[3]{4} \cdot \sqrt[3]{16}$
9013	Find the GCF	7x^3a+7x^2a^2	$7 x^{3} a + 7 x^{2} a^{2}$
9014	Evaluate	cube root of 16* cube root of 4	$\sqrt[3]{16} \cdot \sqrt[3]{4}$
9015	Find the Roots (Zeros)	2x^2+7x+3	$2 x^{2} + 7 x + 3$
9016	Evaluate	square root of 5* square root of 20	$\sqrt{5} \cdot \sqrt{20}$
9017	Convert to a Decimal	76/9	$\frac{76}{9}$
9018	Find the x and y Intercepts	y=8x-18	$y = 8 x - 18$
9019	Evaluate	square root of 15* square root of 10	$\sqrt{15} \cdot \sqrt{10}$
9020	Write as a Single Logarithm	3 log of 4+ log of 7	$3 \log (4) + \log (7)$
9021	Divide	24÷8	$24 \div 8$
9022	Divide	9÷4	$9 \div 4$
9023	Evaluate	80/5	$\frac{80}{5}$
9024	Divide	40÷8	$40 \div 8$
9025	Evaluate	81/3	$\frac{81}{3}$
9026	Divide	45÷3	$45 \div 3$
9027	Divide	6÷4	$6 \div 4$
9028	Evaluate	4*1/4	$4 \cdot \frac{1}{4}$
9029	Find the Discriminant	f(x)=4x^2-17x+3	$f (x) = 4 x^{2} - 17 x + 3$
9030	Find the Vertex	y=2x^2+7x+5	$y = 2 x^{2} + 7 x + 5$
9031	Find the Vertex	y=x^2-10x+33	$y = x^{2} - 10 x + 33$
9032	Find the Focus	-2y^2=4x	$- 2 y^{2} = 4 x$
9033	Convert to a Decimal	3.5%	$3.5 %$
9034	Find the Remainder	(2x^3-18x+5)÷(x-3)	$(2 x^{3} - 18 x + 5) \div (x - 3)$
9035	Convert to a Decimal	35%	$35 %$
9036	Simplify/Condense	log base 4 of W-1/2( log base 4 of x+5 log base 4 of y)+2 log base 4 of z	$\log_{4} (W) - \frac{1}{2} (\log_{4} (x) + 5 \log_{4} (y)) + 2 \log_{4} (z)$
9037	Find the Directrix	y-14=-(x-3)^2	$y - 14 = - {(x - 3)}^{2}$
9038	Find the x and y Intercepts	y=6x^2-7x-5	$y = 6 x^{2} - 7 x - 5$
9039	Find the x and y Intercepts	9x-7y=14	$9 x - 7 y = 14$
9040	Find the GCF	6x^2a+6xa^2	$6 x^{2} a + 6 x a^{2}$
9041	Evaluate	e^1	$e^{1}$
9042	Solve Using the Quadratic Formula	2x^2-4x+7=0	$2 x^{2} - 4 x + 7 = 0$
9043	Find the Prime Factorization	343	$343$
9044	Convert to Regular Notation	9.647*10^7	$9.647 \cdot 10^{7}$
9045	Find the Prime Factorization	17	$17$
9046	Find the Mean	15 , 13 , 9 , 9 , 7 , 1 , 11 , 10 , 13 , 1 , 13	$15$ , $13$ , $9$ , $9$ , $7$ , $1$ , $11$ , $10$ , $13$ , $1$ , $13$
9047	Divide	(3x^4-3x^3-6x-10)÷(x-2)	$(3 x^{4} - 3 x^{3} - 6 x - 10) \div (x - 2)$
9048	Divide	(10x^6+20x^4-15x^2)÷5x^2	$(10 x^{6} + 20 x^{4} - 15 x^{2}) \div 5 x^{2}$
9049	Write as a Single Logarithm	log base 2 of 6+ log base 2 of 2- log base 2 of 8	$\log_{2} (6) + \log_{2} (2) - \log_{2} (8)$
9050	Expand the Trigonometric Expression	(3x-2)(2x^2+5)	$(3 x - 2) (2 x^{2} + 5)$
9051	Find the Vertex	y=x^2+16x+71	$y = x^{2} + 16 x + 71$
9052	Write as a Function of v	e=1/2mv^2	$e = \frac{1}{2} m v^{2}$
9053	Write as a Function of m	E=1/2mv^2	$E = \frac{1}{2} m v^{2}$
9054	Expand Using the Binomial Theorem	(x+2)^6	${(x + 2)}^{6}$
9055	Multiply	(q+5)/2*(4q)/(q+4)	$\frac{q + 5}{2} \cdot \frac{4 q}{q + 4}$
9056	Evaluate	20/( square root of 5)	$\frac{20}{\sqrt{5}}$
9057	Multiply	(x-7)(x+3)	$(x - 7) (x + 3)$
9058	Evaluate	( square root of 35)/( square root of 7)	$\frac{\sqrt{35}}{\sqrt{7}}$
9059	Evaluate	fourth root of 128	$\sqrt[4]{128}$
9060	Divide	75÷5	$75 \div 5$
9061	Evaluate	square root of 168	$\sqrt{168}$
9062	Evaluate	square root of 189	$\sqrt{189}$
9063	Find the Domain and Range	y=x^2-4	$y = x^{2} - 4$
9064	Find the Domain and Range	y=2 square root of x	$y = 2 \sqrt{x}$
9065	Expand the Logarithmic Expression	log base 8 of a/2	$\log_{8} (\frac{a}{2})$
9066	Find the Quadratic Equation	(0,5)	$(0, 5)$
9067	Graph	x=1/4y^2	$x = \frac{1}{4} y^{2}$
9068	Convert to Interval Notation	x^2<=6x-6	$x^{2} \leq 6 x - 6$
9069	Add	(2y)/(y+2)+4/(y+2)	$\frac{2 y}{y + 2} + \frac{4}{y + 2}$
9070	Solve Using the Quadratic Formula	-7x^2+7x+1=-8	$- 7 x^{2} + 7 x + 1 = - 8$
9071	Graph	-x+2y=8	$- x + 2 y = 8$
9072	Divide Using Synthetic Division	(3x^4+6x^3+2x^2+9x+10)÷(x+2)	$(3 x^{4} + 6 x^{3} + 2 x^{2} + 9 x + 10) \div (x + 2)$
9073	Graph	3y-2x=-12	$3 y - 2 x = - 12$
9074	Find the x and y Intercepts	-7x-6y=-15	$- 7 x - 6 y = - 15$
9075	Graph	x<5	$x < 5$
9076	Write in Standard Form	(-2+4i)/(6+3i)	$\frac{- 2 + 4 i}{6 + 3 i}$
9077	Graph	x>3	$x > 3$
9078	Find the Slope and y-intercept	4x+2y=-6	$4 x + 2 y = - 6$
9079	Graph	y=-(x-3)^2-1	$y = - {(x - 3)}^{2} - 1$
9080	Divide	48/4	$\frac{48}{4}$
9081	Divide	50/3	$\frac{50}{3}$
9082	Find the Roots (Zeros)	2x^4-x^3-12x^2-25x+5=0	$2 x^{4} - x^{3} - 12 x^{2} - 25 x + 5 = 0$
9083	Simplify	(3wx)/(6x)*(3wx)/(9w)	$\frac{3 w x}{6 x} \cdot \frac{3 w x}{9 w}$
9084	Graph	f(x)=-x^2-4	$f (x) = - x^{2} - 4$
9085	Rationalize the Denominator	4/( square root of x-2- square root of x)	$\frac{4}{\sqrt{x - 2} - \sqrt{x}}$
9086	Graph	f(x)=x^4-4x^2	$f (x) = x^{4} - 4 x^{2}$
9087	Find the Center and Radius	(x+6)^2+(y-4)^2=36	${(x + 6)}^{2} + {(y - 4)}^{2} = 36$
9088	Convert to an Improper Fraction	2 2/3	$2 \frac{2}{3}$
9089	Find the Inverse	f(x)=2x-2	$f (x) = 2 x - 2$
9090	Subtract	14-6	$14 - 6$
9091	Expand the Logarithmic Expression	natural log of cube root of x	$\ln (\sqrt[3]{x})$
9092	Divide	20÷3	$20 \div 3$
9093	Multiply	8/(2a^5)*6/(12a^2)	$\frac{8}{2 a^{5}} \cdot \frac{6}{12 a^{2}}$
9094	Find the Vertex	y=-2x^2-8x-15	$y = - 2 x^{2} - 8 x - 15$
9095	Solve Using the Quadratic Formula	10x^2-6=9x	$10 x^{2} - 6 = 9 x$
9096	Expand the Logarithmic Expression	log of x^3y^5	$\log (x^{3} y^{5})$
9097	Convert to Interval Notation	x^2+8x<48	$x^{2} + 8 x < 48$
9098	Evaluate	natural log of (e)^6	$\ln ({(e)}^{6})$
9099	Divide	(x^3+3x^2-4x-12)÷(x^2+5x+6)	$(x^{3} + 3 x^{2} - 4 x - 12) \div (x^{2} + 5 x + 6)$
9100	Convert to Logarithmic Form	64^(1/3)=4	$64^{\frac{1}{3}} = 4$