Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
130001	Combine	2 square root of k+ square root of k-3 square root of k	$2 \sqrt{k} + \sqrt{k} - 3 \sqrt{k}$
130002	Plot	x>=5	$x \geq 5$
130003	Divide Using Synthetic Division	(x^3-2x^2-11)÷(x+2)	$(x^{3} - 2 x^{2} - 11) \div (x + 2)$
130004	Find the Possible Factors	117	$117$
130005	Expand Using Pascal's Triangle	(x+9)^4	${(x + 9)}^{4}$
130006	Write with Rational (Fractional) Exponents	square root of 23	$\sqrt{23}$
130007	Identify the Sequence	5 , 9 , 13 , 17	$5$ , $9$ , $13$ , $17$
130008	Identify the Sequence	1 , 5 , 9 , 13 , 17	$1$ , $5$ , $9$ , $13$ , $17$
130009	Find Amplitude, Period, and Phase Shift	y=tan(pi/4(x-pi/3))	$y = \tan (\frac{π}{4} (x - \frac{π}{3}))$
130010	Find Amplitude, Period, and Phase Shift	y=-6sin(1/2x)	$y = - 6 \sin (\frac{1}{2} x)$
130011	Find Where Undefined/Discontinuous	(k^2-k-2)/(k^2-4k-5)	$\frac{k^{2} - k - 2}{k^{2} - 4 k - 5}$
130012	Convert to an Improper Fraction	1 1/8	$1 \frac{1}{8}$
130013	Find the Fourth Term	1/2 , 3/4 , 1	$\frac{1}{2}$ , $\frac{3}{4}$ , $1$
130014	Find the Slope of a Perpendicular Line	y=-x+4	$y = - x + 4$
130015	Determine if Odd, Even, or Neither	h(x)=x^4-x^6	$h (x) = x^{4} - x^{6}$
130016	Describe the Transformation	y=(x-3)^2	$y = {(x - 3)}^{2}$
130017	Find the GCF	88x^4 , 44x^6	$88 x^{4}$ , $44 x^{6}$
130018	Find Where Increasing/Decreasing	-x^2-4x	$- x^{2} - 4 x$
130019	Find the Slope of a Parallel Line	y=-2/5x+4/5	$y = - \frac{2}{5} x + \frac{4}{5}$
130020	Convert to Regular Notation	3.1*10^8	$3.1 \cdot 10^{8}$
130021	Find the Domain and Range	(3,-1)	$(3, - 1)$
130022	Find the Maximum/Minimum Value	x^2-4x-5	$x^{2} - 4 x - 5$
130023	Determine if Injective (One to One)	f(x)=x^2-9	$f (x) = x^{2} - 9$
130024	Round to the Nearest Tenth	7.5	$7.5$
130025	Find the Horizontal Line Through the Point	(3,-5)	$(3, - 5)$
130026	Find the Horizontal Line Through the Point	(3,-2)	$(3, - 2)$
130027	Find the Horizontal Line Through the Point	(3,5)	$(3, 5)$
130028	Determine if True	15/( square root of 10)>8.38	$\frac{15}{\sqrt{10}} > 8.38$
130029	Find the Vertex Form	f(x)=x^2-6x	$f (x) = x^{2} - 6 x$
130030	Describe the Transformation	y=-x^2-3	$y = - x^{2} - 3$
130031	Solve for a1	a_1=2	$a_{1} = 2$
130032	Solve for L	t=2pi square root of L/384	$t = 2 π \sqrt{\frac{L}{384}}$
130033	Convert to an Improper Fraction	5 1/5	$5 \frac{1}{5}$
130034	Find Where Undefined/Discontinuous	(x+4)/(x-3)	$\frac{x + 4}{x - 3}$
130035	Find Where Undefined/Discontinuous	(x^2-3x-28)/(x^2-2x-35)	$\frac{x^{2} - 3 x - 28}{x^{2} - 2 x - 35}$
130036	Graph Using a Table of Values	y=-5x	$y = - 5 x$
130037	Determine if Odd, Even, or Neither	f(x)=4x^5+8x+2	$f (x) = 4 x^{5} + 8 x + 2$
130038	Find the Slope of a Perpendicular Line	y=x+2	$y = x + 2$
130039	Find the Slope of a Perpendicular Line	y=7x-4	$y = 7 x - 4$
130040	Find the Slope of a Perpendicular Line	y=2x-6	$y = 2 x - 6$
130041	Evaluate Using Scientific Notation	(7.210^-1)(4*10^-7)	$(7.2 \cdot 10^{- 1}) \cdot (4 \cdot 10^{- 7})$
130042	Plot	x>0	$x > 0$
130043	Plot	x<-5	$x < - 5$
130044	Factor over the Complex Numbers	x^2+20	$x^{2} + 20$
130045	Find the Vertex Form	f(x)=x^2+4x-1	$f (x) = x^{2} + 4 x - 1$
130046	Expand Using Pascal's Triangle	(4x+3)^4	${(4 x + 3)}^{4}$
130047	Expand Using Pascal's Triangle	(2x-3)^4	${(2 x - 3)}^{4}$
130048	Expand Using Pascal's Triangle	(x-4)^4	${(x - 4)}^{4}$
130049	Find the End Behavior	f(x)=-2(x-17)^4	$f (x) = - 2 {(x - 17)}^{4}$
130050	Evaluate Using the Given Value	f(12)=4(12)-20	$f (12) = 4 (12) - 20$
130051	Divide Using Synthetic Division	(x^4+13x^3-64x^2-20x+16)/(x-4)	$\frac{(x^{4} + 13 x^{3} - 64 x^{2} - 20 x + 16)}{(x - 4)}$
130052	Find the Possible Factors	77	$77$
130053	Evaluate Using Scientific Notation	(4.510^4)(6.2*10^3)	$(4.5 \cdot 10^{4}) \cdot (6.2 \cdot 10^{3})$
130054	Expand the Trigonometric Expression	(x+y)^7	${(x + y)}^{7}$
130055	Find the Quadratic Equation	(-6,1)	$(- 6, 1)$
130056	Find the GCF	3x+9	$3 x + 9$
130057	Convert to Regular Notation	3.02*10^-1	$3.02 \cdot 10^{- 1}$
130058	Determine if Linear	y=x^2-6	$y = x^{2} - 6$
130059	Find the Slope of a Perpendicular Line	y=-1/2x+3	$y = - \frac{1}{2} x + 3$
130060	Find the Slope of a Perpendicular Line	y=-1/4x+2	$y = - \frac{1}{4} x + 2$
130061	Find the Slope of a Perpendicular Line	y=3x-6	$y = 3 x - 6$
130062	Find the Slope of a Parallel Line	y=3/4x+2	$y = \frac{3}{4} x + 2$
130063	Find the Vertical Line Through the Point	(-7,-3)	$(- 7, - 3)$
130064	Plot	x>5	$x > 5$
130065	Determine if Injective (One to One)	f(x)=2x-1	$f (x) = 2 x - 1$
130066	Find the Inverse	[[6,4],[-6,-2]]	$[\begin{array}{c} 6 & 4 \\ - 6 & - 2 \end{array}]$
130067	Find the Inverse	[[9,8],[3,3]]	$[\begin{array}{c} 9 & 8 \\ 3 & 3 \end{array}]$
130068	Expand Using Pascal's Triangle	(x-2y)^5	${(x - 2 y)}^{5}$
130069	Round to the Nearest Tenth	10.5	$10.5$
130070	Find the Slope of a Parallel Line	3x-2y=6	$3 x - 2 y = 6$
130071	Find the Vertical Line Through the Point	(3,2)	$(3, 2)$
130072	Divide Using Synthetic Division	(4x^5-3x^4-14x^3+11x^2+8x-28)/(x-2)	$\frac{4 x^{5} - 3 x^{4} - 14 x^{3} + 11 x^{2} + 8 x - 28}{x - 2}$
130073	Evaluate Using Scientific Notation	(6.510^8)(1.4*10^-5)	$(6.5 \cdot 10^{8}) \cdot (1.4 \cdot 10^{- 5})$
130074	Solve the Function Operation	f(g(x))	$f (g (x))$
130075	Solve for j	3j^2-20j=-12	$3 j^{2} - 20 j = - 12$
130076	Describe the Transformation	y=-x^2	$y = - x^{2}$
130077	Find the GCF	9x-27y+9	$9 x - 27 y + 9$
130078	Find the Range	f(x)+2=1/6\|x-3\|	$f (x) + 2 = \frac{1}{6} \| x - 3 \|$
130079	Identify the Sequence	-4 , -16 , -64 , -256	$- 4$ , $- 16$ , $- 64$ , $- 256$
130080	Determine if Linear	y=5	$y = 5$
130081	Find the Domain and Range	(0,-2)	$(0, - 2)$
130082	Find the Roots/Zeros Using the Rational Roots Test	2x^3+5x^2-8x-20=0	$2 x^{3} + 5 x^{2} - 8 x - 20 = 0$
130083	Solve for x1	m=(x_1+x_2)/2	$m = \frac{x_{1} + x_{2}}{2}$
130084	Find the Vertical Line Through the Point	(3,4)	$(3, 4)$
130085	Determine if Odd, Even, or Neither	f(x)=12x^11-6x^7-5x^3	$f (x) = 12 x^{11} - 6 x^{7} - 5 x^{3}$
130086	Graph Using a Table of Values	y=-5x+2	$y = - 5 x + 2$
130087	Find the Median	2717 , 1972 , 1667 , 1614 , 1588	$2717$ , $1972$ , $1667$ , $1614$ , $1588$
130088	Determine the Nature of the Roots Using the Discriminant	-4x^2+4x-1=0	$- 4 x^{2} + 4 x - 1 = 0$
130089	Determine the Nature of the Roots Using the Discriminant	x^2-3x+8=0	$x^{2} - 3 x + 8 = 0$
130090	Find the Degree	x^2y	$x^{2} y$
130091	Find the Horizontal Line Through the Point	(-2,-3)	$(- 2, - 3)$
130092	Find the Domain and Range	(1,4)	$(1, 4)$
130093	Use the Rational Roots Test to Find All Possible Roots	f(x)=11x^3+125x^2+45x+11	$f (x) = 11 x^{3} + 125 x^{2} + 45 x + 11$
130094	Factor over the Complex Numbers	x^2+11	$x^{2} + 11$
130095	Find the Inverse	[[6,11],[2,4]]	$[\begin{array}{c} 6 & 11 \\ 2 & 4 \end{array}]$
130096	Plot	y-4>-2	$y - 4 > - 2$
130097	Find the Roots/Zeros Using the Rational Roots Test	x^3-6x^2+11x-6=0	$x^{3} - 6 x^{2} + 11 x - 6 = 0$
130098	Solve by Addition/Elimination	4x-5y=5-8x+10y=-10	$4 x - 5 y = 5 - 8 x + 10 y = - 10$
130099	Find the Maximum/Minimum Value	x^2+2x-8	$x^{2} + 2 x - 8$
130100	Find the Vertex Form	f(x)=3x^2+12x+5	$f (x) = 3 x^{2} + 12 x + 5$