Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
129901	Find the Vertex Form	f(x)=x^2-6x+8	$f (x) = x^{2} - 6 x + 8$
129902	Find the Constant of Variation	y=x/2	$y = \frac{x}{2}$
129903	Find the Slope	(-2,5) , (3,9)	$(- 2, 5) (3, 9)$
129904	Find the Slope	(5,4) , (-9,7)	$(5, 4)$ , $(- 9, 7)$
129905	Expand Using the Binomial Theorem	(x-3y)^8	${(x - 3 y)}^{8}$
129906	Expand Using the Binomial Theorem	(2x-1)^12	${(2 x - 1)}^{12}$
129907	Expand Using the Binomial Theorem	(3-2x)^6	${(3 - 2 x)}^{6}$
129908	Expand Using the Binomial Theorem	(4x+2)^4	${(4 x + 2)}^{4}$
129909	Expand Using the Binomial Theorem	(2x+y^2)^4	${(2 x + y^{2})}^{4}$
129910	Expand Using the Binomial Theorem	(2x-1)^10	${(2 x - 1)}^{10}$
129911	Factor by Grouping	3yz^2-4y^2z+6y^3-2z^3	$3 y z^{2} - 4 y^{2} z + 6 y^{3} - 2 z^{3}$
129912	Determine if Injective (One to One)	f(x)=x^2-1	$f (x) = x^{2} - 1$
129913	Find Where Undefined/Discontinuous	(q^2+11q+24)/(q^2-5q-24)	$\frac{q^{2} + 11 q + 24}{q^{2} - 5 q - 24}$
129914	Write with Rational (Fractional) Exponents	cube root of 27x^2y^3z^4	$\sqrt[3]{27 x^{2} y^{3} z^{4}}$
129915	Determine the Type of Number	- square root of 16	$- \sqrt{16}$
129916	Expand Using Pascal's Triangle	(a+b)^6	${(a + b)}^{6}$
129917	Solve for f	T=1/f	$T = \frac{1}{f}$
129918	Determine the Nature of the Roots Using the Discriminant	x^2+6x+9=0	$x^{2} + 6 x + 9 = 0$
129919	Find Where Undefined/Discontinuous	y=(x-3)/(x^2-1)	$y = \frac{x - 3}{x^{2} - 1}$
129920	Expand Using the Binomial Theorem	(2a+b)^6	${(2 a + b)}^{6}$
129921	Factor by Grouping	x^3+5x^2-6x-30	$x^{3} + 5 x^{2} - 6 x - 30$
129922	Factor by Grouping	x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6$
129923	Factor by Grouping	12x^2y-16x^2-18y+24	$12 x^{2} y - 16 x^{2} - 18 y + 24$
129924	Solve for f	2f=-12	$2 f = - 12$
129925	Solve for L	d = square root of L^2+W^2	$d = \sqrt{L^{2} + W^{2}}$
129926	Describe the Transformation	y=3^x	$y = 3^{x}$
129927	Find the Slope	y=-2x-7	$y = - 2 x - 7$
129928	Identify the Sequence	3 , 9 , 27 , 81 , 243	$3$ , $9$ , $27$ , $81$ , $243$
129929	Find the Range	y=x^2+4x+1	$y = x^{2} + 4 x + 1$
129930	Convert to an Improper Fraction	4 1/8	$4 \frac{1}{8}$
129931	Divide Using Synthetic Division	(5x^2+9x-6)/(x+2)	$\frac{5 x^{2} + 9 x - 6}{x + 2}$
129932	Find the Slope of a Perpendicular Line	y=1/2x	$y = \frac{1}{2} x$
129933	Find the Vertex Form	x^2+2x-3	$x^{2} + 2 x - 3$
129934	Identify the Zeros and Their Multiplicities	x^3-14x^2+49x	$x^{3} - 14 x^{2} + 49 x$
129935	Factor by Grouping	15xy-9x-5y+3	$15 x y - 9 x - 5 y + 3$
129936	Factor by Grouping	x^3-5x^2+2x-10	$x^{3} - 5 x^{2} + 2 x - 10$
129937	Plot	x>3	$x > 3$
129938	Identify the Sequence	-5 , 10 , -20 , 40	$- 5$ , $10$ , $- 20$ , $40$
129939	Identify the Sequence	3 , 5 , 7 , 9 , 11	$3$ , $5$ , $7$ , $9$ , $11$
129940	Find the Determinant	[[2,4],[x,3]]=-10	$[\begin{array}{c} 2 & 4 \\ x & 3 \end{array}] = - 10$
129941	Find the GCF	25x-75y+25	$25 x - 75 y + 25$
129942	Expand Using the Binomial Theorem	(5x-y)^4	${(5 x - y)}^{4}$
129943	Find the Mean	17 , 23 , 8 , 5 , 9 , 16 , 22 , 11 , 13 , 15 , 17 , 18	$17$ , $23$ , $8$ , $5$ , $9$ , $16$ , $22$ , $11$ , $13$ , $15$ , $17$ , $18$
129944	Divide Using Synthetic Division	(x^3-5x^2+2x+8)/(x-2)	$\frac{x^{3} - 5 x^{2} + 2 x + 8}{x - 2}$
129945	Plot	x>=-5	$x \geq - 5$
129946	Factor by Grouping	xy-10x+6y-60	$x y - 10 x + 6 y - 60$
129947	Factor by Grouping	x^2+3x+7x+21	$x^{2} + 3 x + 7 x + 21$
129948	Combine	3 square root of 27x^3-2 square root of 12x^3	$3 \sqrt{27 x^{3}} - 2 \sqrt{12 x^{3}}$
129949	Find Where Increasing/Decreasing	f(x)=x^2+6x	$f (x) = x^{2} + 6 x$
129950	Find the Vertex Form	f(x)=x^2-2x-6	$f (x) = x^{2} - 2 x - 6$
129951	Find the Quadratic Equation	(-5,0)	$(- 5, 0)$
129952	Graph Using a Table of Values	y=-2x-1	$y = - 2 x - 1$
129953	Find the Slope of a Perpendicular Line	y=1/4x	$y = \frac{1}{4} x$
129954	Solve for l	A=2lw+2lh+2wh	$A = 2 l w + 2 l h + 2 w h$
129955	Solve for f	-54=-6f	$- 54 = - 6 f$
129956	Solve for f	5f+3=28	$5 f + 3 = 28$
129957	Solve for f	d=16ef^2	$d = 16 e f^{2}$
129958	Identify the Sequence	3 , -9 , 27 , -81	$3$ , $- 9$ , $27$ , $- 81$
129959	Identify the Sequence	-4 , 8 , -16 , 32	$- 4$ , $8$ , $- 16$ , $32$
129960	Convert to Regular Notation	6.25*10^5	$6.25 \cdot 10^{5}$
129961	Plot	x<3	$x < 3$
129962	Plot	x<1	$x < 1$
129963	Find the Vertex Form	f(x)=x^2-3x-10	$f (x) = x^{2} - 3 x - 10$
129964	Find the Remainder	(5x^2+3x-11)/(x+3)	$\frac{5 x^{2} + 3 x - 11}{x + 3}$
129965	Find the Maximum/Minimum Value	-16x^2+64x+80	$- 16 x^{2} + 64 x + 80$
129966	Find the Inverse	[[1,-4],[1,5]]	$[\begin{array}{c} 1 & - 4 \\ 1 & 5 \end{array}]$
129967	Expand Using Pascal's Triangle	(2x-3)^5	${(2 x - 3)}^{5}$
129968	Expand Using Pascal's Triangle	(2x-3y)^5	${(2 x - 3 y)}^{5}$
129969	Find the Symmetry	x^2+y^2=25	$x^{2} + y^{2} = 25$
129970	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+7x-9	$f (x) = x^{3} + 7 x - 9$
129971	Describe the Transformation	y=(x-2)^2	$y = {(x - 2)}^{2}$
129972	Expand Using Pascal's Triangle	(x-5)^5	${(x - 5)}^{5}$
129973	Find the Slope of a Perpendicular Line	y=3x-1	$y = 3 x - 1$
129974	Find the Vertical Line Through the Point	(-2,-3)	$(- 2, - 3)$
129975	Determine if Injective (One to One)	f(x)=3x-7	$f (x) = 3 x - 7$
129976	Plot	X<=-2	$X \leq - 2$
129977	Find the Inverse	[[-3,-2],[5,3]]	$[\begin{array}{c} - 3 & - 2 \\ 5 & 3 \end{array}]$
129978	Find the Possible Factors	110	$110$
129979	Expand Using Pascal's Triangle	(x+2y)^4	${(x + 2 y)}^{4}$
129980	Solve for I	V=IR	$V = I R$
129981	Find the Slope of a Perpendicular Line	y=-3x+5	$y = - 3 x + 5$
129982	Expand Using Pascal's Triangle	(x+7)^4	${(x + 7)}^{4}$
129983	Expand Using Pascal's Triangle	(2x-y)^4	${(2 x - y)}^{4}$
129984	Plot	x=4	$x = 4$
129985	Identify the Zeros and Their Multiplicities	f(x)=x^4-7x^2+12	$f (x) = x^{4} - 7 x^{2} + 12$
129986	Solve for x2	m=(x_1+x_2)/2	$m = \frac{x_{1} + x_{2}}{2}$
129987	Apply the Quadratic Formula	x^2-x-1	$x^{2} - x - 1$
129988	Find the Slope of a Perpendicular Line	y=3x-5	$y = 3 x - 5$
129989	Use the Factor Theorem to Determine if x=2 is a Factor	f(x)=x^2+2x+1 , x=2	$f (x) = x^{2} + 2 x + 1$ , $x = 2$
129990	Write with Rational (Fractional) Exponents	( fourth root of 81)^3	${(\sqrt[4]{81})}^{3}$
129991	Write as a Function of F	C=5/9(F-32)	$C = \frac{5}{9} (F - 32)$
129992	Divide Using Long Polynomial Division	(18n^2-9n+1)÷(3n-1)	$(18 n^{2} - 9 n + 1) \div (3 n - 1)$
129993	Find the LCD	4/(15x^3) , 5/(12x^2)	$\frac{4}{15 x^{3}}$ , $\frac{5}{12 x^{2}}$
129994	Find the Remainder	(x^4+4x^3+2x^2+x+4)/(x^2+3x)	$\frac{x^{4} + 4 x^{3} + 2 x^{2} + x + 4}{x^{2} + 3 x}$
129995	Round to the Nearest Tenth	0.93	$0.93$
129996	Find the Vertex Form	f(x)=-3x^2+18x-21	$f (x) = - 3 x^{2} + 18 x - 21$
129997	Expand Using Pascal's Triangle	(x+2y)^5	${(x + 2 y)}^{5}$
129998	Find Where Undefined/Discontinuous	(x^2-4x-12)/(x+2)	$\frac{x^{2} - 4 x - 12}{x + 2}$
129999	Find the Range	y=x^2+4x+5	$y = x^{2} + 4 x + 5$
130000	Divide Using Synthetic Division	(3x^2-4x+9)/(x-2)	$\frac{3 x^{2} - 4 x + 9}{x - 2}$