Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
128001	Solve the Triangle	Q-7 5/6=6 1/2	$Q - 7 \frac{5}{6} = 6 \frac{1}{2}$
128002	Find the Equation of the Parabola	(1,0) , (4,2) , (3,-7)	$(1, 0)$ , $(4, 2)$ , $(3, - 7)$
128003	Find the Parabola with Vertex (0,0) and Directrix y=-6	(0,0) y=-6	$(0, 0)$ $y = - 6$
128004	Determine if A and B are Mutually Exclusive	A=(0,8,9) , B=(1,2,3)	$A = (0, 8, 9)$ , $B = (1, 2, 3)$
128005	Find the Domain of the Sum of the Functions	f(x)=x^2-1 , g(x)=2x	$f (x) = x^{2} - 1$ , $g (x) = 2 x$
128006	Find the Domain of the Quotient of the Two Functions	f(x)=x^2+2x+1 , g(x)=x	$f (x) = x^{2} + 2 x + 1$ , $g (x) = x$
128007	Convert to Set Notation	x-9<-15	$x - 9 < - 15$
128008	Find the Slope and y-intercept	(2,1) , (5,-8)	$(2, 1) (5, - 8)$
128009	Find the Difference of the Two Functions	f(x)=6x-5 , g(x)=7x-1	$f (x) = 6 x - 5$ , $g (x) = 7 x - 1$
128010	Find the Circle Through (2,5) with Center (3,4)	(3,4) , (2,5)	$(3, 4)$ , $(2, 5)$
128011	Find the Pre-Image	A=[[8],[1]] , x=[[3x+3y],[4x-y]]	$A = [\begin{array}{c} 8 \\ 1 \end{array}]$ , $x = [\begin{array}{c} 3 x + 3 y \\ 4 x - y \end{array}]$
128012	Find the Parent Function	f(x)=x^3	$f (x) = x^{3}$
128013	Find the Eccentricity	(x^2)/11+(y^2)/36=1	$\frac{x^{2}}{11} + \frac{y^{2}}{36} = 1$
128014	Find the Eccentricity	3x^2+5y^2=15	$3 x^{2} + 5 y^{2} = 15$
128015	Find the Average	81 , 86 , 81 , 76 , 71	$81$ , $86$ , $81$ , $76$ , $71$
128016	Convert from Interval to Inequality	[7,9)	$[7, 9)$
128017	Find the Variables	[[2x,-y],[-4,3]]*[[1,6],[-2,5]]=[[6,-134],[-10,-9]]	$[\begin{array}{c} 2 x & - y \\ - 4 & 3 \end{array}] \cdot [\begin{array}{c} 1 & 6 \\ - 2 & 5 \end{array}] = [\begin{array}{c} 6 & - 134 \\ - 10 & - 9 \end{array}]$
128018	Find the Slope for Each Equation	y=4x+4 , y=6x	$y = 4 x + 4$ , $y = 6 x$
128019	Determine the Possible Number of Real Roots	x^3+18x^2+99x+162	$x^{3} + 18 x^{2} + 99 x + 162$
128020	Find the Degree	f(x)=(x-2)^5	$f (x) = {(x - 2)}^{5}$
128021	Find the Local Maxima and Minima	h(t)=72t-16t^2	$h (t) = 72 t - 16 t^{2}$
128022	Find the Local Maxima and Minima	f(x)=6x-x^3	$f (x) = 6 x - x^{3}$
128023	Find the Square or Rectangle Perimeter	(4,3) , (-4,-3) , (-4,3) , (4,-3)	$(4, 3)$ , $(- 4, - 3)$ , $(- 4, 3)$ , $(4, - 3)$
128024	Find the Bounds of the Zeros	f(x)=x+2	$f (x) = x + 2$
128025	Evaluate the Function Using Synthetic Division	f(x)=4x^2-3x-4 , f(3)	$f (x) = 4 x^{2} - 3 x - 4$ , $f (3)$
128026	Find the Slope and y-intercept	f(x)=2x-3	$f (x) = 2 x - 3$
128027	Find the Slope and y-intercept	f(x)=2x-6	$f (x) = 2 x - 6$
128028	Graph the Interval	(negative infinity,-1) union (-1,infinity)	$(- \infty, - 1) \cup (- 1, \infty)$
128029	Graph the Interval	[-2,2]	$[- 2, 2]$
128030	Graph the Interval	[-5,-1]	$[- 5, - 1]$
128031	Determine the Possible Number of Real Roots	f(x)=x^3-2x^2-25x+50	$f (x) = x^{3} - 2 x^{2} - 25 x + 50$
128032	Rationalize the Numerator	cube root of 3/8	$\sqrt[3]{\frac{3}{8}}$
128033	Rationalize the Numerator	square root of 5/3	$\sqrt{\frac{5}{3}}$
128034	Find the Circle Through (-6,6) with Center (0,0)	(0,0) , (-6,6)	$(0, 0)$ , $(- 6, 6)$
128035	Arrange in Order	5/8 , 3/4 , 1 1/8 , 1 1/4	$\frac{5}{8}$ , $\frac{3}{4}$ , $1 \frac{1}{8}$ , $1 \frac{1}{4}$
128036	Identify the Progression	2 , 6 , 18 , 54	$2$ , $6$ , $18$ , $54$
128037	Convert from Interval to Inequality	(-1,29) union (26,1000)	$(- 1, 29) \cup (26, 1000)$
128038	Round to the Nearest Thousandth	0.3	$0.3$
128039	Find Where Undefined/Discontinuous	f(x)=(x^3-9x)/(3x^2-6x-9)	$f (x) = \frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
128040	Find the Equation Using Two Points	(-8,8) , (1,-10)	$(- 8, 8) (1, - 10)$
128041	Find the Equation Using Two Points	(0,0) , (-6,6)	$(0, 0)$ , $(- 6, 6)$
128042	Subtract the Matrices	[[2,-6,3],[4,-8,-2],[-5,5,6]]-[[7,6,2],[-5,0,-3],[4,7,-5]]	$[\begin{array}{c} 2 & - 6 & 3 \\ 4 & - 8 & - 2 \\ - 5 & 5 & 6 \end{array}] - [\begin{array}{c} 7 & 6 & 2 \\ - 5 & 0 & - 3 \\ 4 & 7 & - 5 \end{array}]$
128043	Find the Leading Coefficient	(2x+y)^5	${(2 x + y)}^{5}$
128044	Find the Sum of the Series	4+8+12+16+20	$4 + 8 + 12 + 16 + 20$
128045	Determine if Parallel	y=-6x , y=-6x-7	$y = - 6 x$ , $y = - 6 x - 7$
128046	Determine if Odd, Even, or Neither	y=1/x	$y = \frac{1}{x}$
128047	Write as a Set of Linear Factors	p(x)=x^3-2x^2-5x+6	$p (x) = x^{3} - 2 x^{2} - 5 x + 6$
128048	Identify the Polar Equation	z=1-i	$z = 1 - i$
128049	Find the Slope and y-intercept	f(x)=2x+5	$f (x) = 2 x + 5$
128050	Subtract the Expressions	x^4+x , -x+6	$x^{4} + x$ , $- x + 6$
128051	Rationalize the Numerator	cube root of 2/27	$\sqrt[3]{\frac{2}{27}}$
128052	Find the Expanded Form	(x-3)^2+(y-4)^2=25	${(x - 3)}^{2} + {(y - 4)}^{2} = 25$
128053	Find the Expanded Form	(x+4)^2+(y-3)^2=25	${(x + 4)}^{2} + {(y - 3)}^{2} = 25$
128054	Write as an Equation	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
128055	Determine the Possible Number of Real Roots	-5x^2+7x-1=0	$- 5 x^{2} + 7 x - 1 = 0$
128056	Evaluate the Formula	y=6x , x=5	$y = 6 x$ , $x = 5$
128057	Find the Variables	[[-5-t,0],[8,-22]]=[[-5,0],[8,-4y-2]]	$[\begin{array}{c} - 5 - t & 0 \\ 8 & - 22 \end{array}] = [\begin{array}{c} - 5 & 0 \\ 8 & - 4 y - 2 \end{array}]$
128058	Find Where Undefined/Discontinuous	F(x)=(x^2-4)/(x+2)	$F (x) = \frac{x^{2} - 4}{x + 2}$
128059	Find Where Undefined/Discontinuous	f(x)=(x+5)/(x^2-25)	$f (x) = \frac{x + 5}{x^{2} - 25}$
128060	Subtract the Matrices	[[6,-7],[0,-4]]-[[-5,1],[6,7]]	$[\begin{array}{c} 6 & - 7 \\ 0 & - 4 \end{array}] - [\begin{array}{c} - 5 & 1 \\ 6 & 7 \end{array}]$
128061	Solve the Triangle	-0.5(30,0)+0.15p=0.02(30,0+p)	$- 0.5 (30, 0) + 0.15 p = 0.02 (30, 0 + p)$
128062	Determine the Types of the Numbers	25 , 747	$25$ , $747$
128063	Find the Square or Rectangle Perimeter	(3,3) , (3,-4) , (-5,3)	$(3, 3)$ , $(3, - 4)$ , $(- 5, 3)$
128064	Solve Using an Augmented Matrix	-2x+3y-2z=34x+2y-z=94x-8y+2z=-6	$- 2 x + 3 y - 2 z = 34 x + 2 y - z = 94 x - 8 y + 2 z = - 6$
128065	Find the Slope and y-intercept	(-2,7) , (6,1)	$(- 2, 7) (6, 1)$
128066	Determine if Rational	f(x)=7x^2+5x-4	$f (x) = 7 x^{2} + 5 x - 4$
128067	Find @FORMULA	f(x)=x^2+3	$f (x) = x^{2} + 3$
128068	Find the Maximum Number of Real Roots	f(x)=x+2	$f (x) = x + 2$
128069	Graph the Interval	[0,infinity)	$[0, \infty)$
128070	Combine Like Terms	2-3+2+4y-3y	$2 - 3 + 2 + 4 y - 3 y$
128071	Find Where Increasing/Decreasing	y=1/(x^2)	$y = \frac{1}{x^{2}}$
128072	Find Where Increasing/Decreasing	y=9(0.77)^x	$y = 9 {(0.77)}^{x}$
128073	Find the Behavior (Leading Coefficient Test)	x^3+4x^2-x-4	$x^{3} + 4 x^{2} - x - 4$
128074	Find the LCM Using the GCF	7/2 , 45/4 , 6/13	$\frac{7}{2}$ , $\frac{45}{4}$ , $\frac{6}{13}$
128075	Find Trig Functions Using Identities	cos(2x)	$\cos (2 x)$
128076	Find Pivot Positions and Pivot Columns	[[6,-7],[8,-9]]	$[\begin{array}{c} 6 & - 7 \\ 8 & - 9 \end{array}]$
128077	Find the Intersection of the Functions	f(x)=x^2-4x-27 , f(c)=5	$f (x) = x^{2} - 4 x - 27$ , $f (c) = 5$
128078	Determine if the Relation is a Function	{(12,-10),(-4,-10),(-20,-3)}	${(12, - 10), (- 4, - 10), (- 20, - 3)}$
128079	Find the Equation Using Two Points	(-9,-9) , (-6,0)	$(- 9, - 9) (- 6, 0)$
128080	Find P(CnD) for Independent Events C and D	P(C)=2/5 , P(D)=3/5	$P (C) = \frac{2}{5}$ , $P (D) = \frac{3}{5}$
128081	Find the Slope and y-intercept	f(x)=4x-3	$f (x) = 4 x - 3$
128082	Find the Slope and y-intercept	f(x)=3x-6	$f (x) = 3 x - 6$
128083	Find the Slope and y-intercept	f(x)=3x+4	$f (x) = 3 x + 4$
128084	Find the Square or Rectangle Perimeter	(1,0) , (-1,0) , (-1,-3) , (1,-3)	$(1, 0)$ , $(- 1, 0)$ , $(- 1, - 3)$ , $(1, - 3)$
128085	Solve Using an Augmented Matrix	x+y+z=10 , 2x-3y+2z=10 , 4x+y-3z=6	$x + y + z = 10$ , $2 x - 3 y + 2 z = 10$ , $4 x + y - 3 z = 6$
128086	Find the Plane Through (1,2,-3),(3,5, -3) Parallel to the Line Through (1,-1,1),(-2,-2, -2)	(1,2,-3) , (3,5,-3) , (1,-1,1) , (-2,-2,-2)	$(1, 2, - 3)$ , $(3, 5, - 3)$ , $(1, - 1, 1)$ , $(- 2, - 2, - 2)$
128087	Graph the Interval	(-8,3)	$(- 8, 3)$
128088	Find the Upper or Third Quartile	22 , 19 , 16 , 19 , 23 , 20 , 20 , 21 , 22 , 21 , 14	$22$ , $19$ , $16$ , $19$ , $23$ , $20$ , $20$ , $21$ , $22$ , $21$ , $14$
128089	Solve Using an Inverse Matrix	-5x+3y=82x-4y=-20	$- 5 x + 3 y = 82 x - 4 y = - 20$
128090	Find the Behavior (Leading Coefficient Test)	x^4-4x^2	$x^{4} - 4 x^{2}$
128091	Find the Lower or First Quartile	60 , 50 , 130 , 200 , 180 , 150 , 100 , 140	$60$ , $50$ , $130$ , $200$ , $180$ , $150$ , $100$ , $140$
128092	Determine if Perpendicular	y=3/2x+5 , y=-2/3x+15	$y = \frac{3}{2} x + 5$ , $y = - \frac{2}{3} x + 15$
128093	Determine if Perpendicular	y=3/4x+1y=4/3x+1	$y = \frac{3}{4} x + 1 y = \frac{4}{3} x + 1$
128094	Determine if Perpendicular	y=4x+4 , y=6x	$y = 4 x + 4$ , $y = 6 x$
128095	Find the Leading Coefficient	-2xy^5+3x^7-10x^3y^6+8x^6+4	$- 2 x y^{5} + 3 x^{7} - 10 x^{3} y^{6} + 8 x^{6} + 4$
128096	Find the Leading Coefficient	-2a^3b^2+5ab^5+7b^4+8	$- 2 a^{3} b^{2} + 5 a b^{5} + 7 b^{4} + 8$
128097	Find the Local Maxima and Minima	f(x)=-0.02x^4+0.36x^2-1.62	$f (x) = - 0.02 x^{4} + 0.36 x^{2} - 1.62$
128098	Find the Second Derivative	( natural log of x)^2	$\ln^{2} (x)$
128099	Find the Sum of the Infinite Geometric Series	2 , 12 , 72 , 432	$2$ , $12$ , $72$ , $432$
128100	Expand Using De Moivre's Theorem	(2+2i)^7	${(2 + 2 i)}^{7}$