Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
120601	Expand the Trigonometric Expression	(-1+2p)(3-4p)	$(- 1 + 2 p) (3 - 4 p)$
120602	Find the Distance Between Two Points	(4 square root of 3, square root of 5) , (- square root of 3,5 square root of 5)	$(4 \sqrt{3}, \sqrt{5}) (- \sqrt{3}, 5 \sqrt{5})$
120603	Find the Expanded Form	(x-3)^2+(y-3)^2=9	${(x - 3)}^{2} + {(y - 3)}^{2} = 9$
120604	Find the Expanded Form	(x-3)^2+(y-4)^2=16	${(x - 3)}^{2} + {(y - 4)}^{2} = 16$
120605	Find the Equation Using Point-Slope Formula	(4,1) , (-2,7)	$(4, 1) (- 2, 7)$
120606	Factor over the Complex Numbers	x^6-64	$x^{6} - 64$
120607	Find the Inverse	cube root of 4x-3	$\sqrt[3]{4 x - 3}$
120608	Find the Inverse	1/3x+4	$\frac{1}{3} x + 4$
120609	Find the Inverse	1/3 log of 5x	$\frac{1}{3} \log (5 x)$
120610	Find the Inverse	1/(6x)	$\frac{1}{6 x}$
120611	Find the Inverse	(x+16)/(x-4)	$\frac{x + 16}{x - 4}$
120612	Find the Inverse	5x^3-6	$5 x^{3} - 6$
120613	Find the Inverse	2 cube root of x-5	$2 \sqrt[3]{x - 5}$
120614	Find the y-intercept	4y-1=3	$4 y - 1 = 3$
120615	Divide Using Synthetic Division	(x^3-8)÷(x-2)	$(x^{3} - 8) \div (x - 2)$
120616	Divide Using Synthetic Division	(x^2+3x-40)/(x-5)	$\frac{x^{2} + 3 x - 40}{x - 5}$
120617	Divide Using Synthetic Division	(x^4-6x^2-26)/(x+2)	$\frac{(x^{4} - 6 x^{2} - 26)}{(x + 2)}$
120618	Divide Using Synthetic Division	(x^4-5x^3-x^2+21x)/(x-3)	$\frac{x^{4} - 5 x^{3} - x^{2} + 21 x}{x - 3}$
120619	Divide Using Synthetic Division	(-4x^3-18x^2+7x-15)/(x+5)	$\frac{- 4 x^{3} - 18 x^{2} + 7 x - 15}{x + 5}$
120620	Divide Using Synthetic Division	(x^2+64)÷(x-8i)	$(x^{2} + 64) \div (x - 8 i)$
120621	Divide Using Synthetic Division	(2x^2-x+7)/(x+5)	$\frac{(2 x^{2} - x + 7)}{(x + 5)}$
120622	Divide Using Synthetic Division	(2x^3-14x+10)÷(x+3)	$(2 x^{3} - 14 x + 10) \div (x + 3)$
120623	Divide Using Synthetic Division	(x^3+7x^2+15x+9)÷(x+1)	$(x^{3} + 7 x^{2} + 15 x + 9) \div (x + 1)$
120624	Divide Using Synthetic Division	(1/5x^3-9/25x^2+9/125x-1/625)/(x-1/5)	$\frac{\frac{1}{5} x^{3} - \frac{9}{25} x^{2} + \frac{9}{125} x - \frac{1}{625}}{x - \frac{1}{5}}$
120625	Divide Using Synthetic Division	(x^3-x^2+2x+4)÷(x-2)	$(x^{3} - x^{2} + 2 x + 4) \div (x - 2)$
120626	Find Amplitude, Period, and Phase Shift	f(x)=3cos(5x)+2	$f (x) = 3 \cos (5 x) + 2$
120627	Calculate the Square Root	1600	$1600$
120628	Find the Roots/Zeros Using the Rational Roots Test	h(x)=x^3-5x^2+2x+12	$h (x) = x^{3} - 5 x^{2} + 2 x + 12$
120629	Find the Roots/Zeros Using the Rational Roots Test	q(x)=x^3+3x^2-6x-8	$q (x) = x^{3} + 3 x^{2} - 6 x - 8$
120630	Find the End Behavior	f(x)=x^8-8x^4+6x^2	$f (x) = x^{8} - 8 x^{4} + 6 x^{2}$
120631	Find the Axis of Symmetry	f(x)=-x^2-8x-10	$f (x) = - x^{2} - 8 x - 10$
120632	Find the Axis of Symmetry	f(x)=x^2-24x	$f (x) = x^{2} - 24 x$
120633	Find the LCM	8x^2-36x-20 , 2x^2+2x-60	$8 x^{2} - 36 x - 20$ , $2 x^{2} + 2 x - 60$
120634	Find the LCM	x^2-25 , x-5	$x^{2} - 25$ , $x - 5$
120635	Find the LCM	x^2-3x-10 , x+2	$x^{2} - 3 x - 10$ , $x + 2$
120636	Find the LCM	x^2-1 , x^2+2x+1	$x^{2} - 1$ , $x^{2} + 2 x + 1$
120637	Find the Axis of Symmetry	f(x)=x^2-22x	$f (x) = x^{2} - 22 x$
120638	Find the Axis of Symmetry	f(x)=-(x-3)^2-4	$f (x) = - {(x - 3)}^{2} - 4$
120639	Find the Symmetry	x-y^2=-5	$x - y^{2} = - 5$
120640	Rationalize the Denominator	6/(6+ square root of 5)	$\frac{6}{6 + \sqrt{5}}$
120641	Rationalize the Denominator	3/(5+ square root of 3)	$\frac{3}{5 + \sqrt{3}}$
120642	Rationalize the Denominator	(3+ square root of 7)/(2- square root of 3)	$\frac{3 + \sqrt{7}}{2 - \sqrt{3}}$
120643	Rationalize the Denominator	(4+ square root of 6)/( square root of 2+ square root of 3)	$\frac{4 + \sqrt{6}}{\sqrt{2} + \sqrt{3}}$
120644	Rationalize the Denominator	(5 square root of 7)/( square root of 3)	$\frac{5 \sqrt{7}}{\sqrt{3}}$
120645	Rationalize the Denominator	(5 square root of 2+ square root of 6)/(10 square root of 2- square root of 6)	$\frac{5 \sqrt{2} + \sqrt{6}}{10 \sqrt{2} - \sqrt{6}}$
120646	Rationalize the Denominator	1/( cube root of xy)	$\frac{1}{\sqrt[3]{x y}}$
120647	Rationalize the Denominator	( square root of 7-2)/( square root of 7+2)	$\frac{\sqrt{7} - 2}{\sqrt{7} + 2}$
120648	Find the Behavior (Leading Coefficient Test)	f(x)=4x^5-7x^3-13	$f (x) = 4 x^{5} - 7 x^{3} - 13$
120649	Find the Behavior (Leading Coefficient Test)	f(x)=5x^3+7x^2-x+9	$f (x) = 5 x^{3} + 7 x^{2} - x + 9$
120650	Find the Slope	8-5y=0	$8 - 5 y = 0$
120651	Find the Slope	7x-8y=-2	$7 x - 8 y = - 2$
120652	Find the Slope	(-2,1) , (2,2)	$(- 2, 1) (2, 2)$
120653	Find the Slope	y=-2x-9	$y = - 2 x - 9$
120654	Find the Slope	5x-4y=2	$5 x - 4 y = 2$
120655	Find the Slope	(-4,7) , (2,-8)	$(- 4, 7)$ , $(2, - 8)$
120656	Find the Slope	7x-7y=5	$7 x - 7 y = 5$
120657	Find the Slope	7x-7y=9	$7 x - 7 y = 9$
120658	Find the Slope	3x-10y=20	$3 x - 10 y = 20$
120659	Find the Slope	(0,6) , (6,0)	$(0, 6) (6, 0)$
120660	Find the Slope	6x+4y=6	$6 x + 4 y = 6$
120661	Find the Slope	-x-7y=-4	$- x - 7 y = - 4$
120662	Find the Slope	(-6,9) , (7,-9)	$(- 6, 9)$ , $(7, - 9)$
120663	Find the Slope	5y=-2x+6	$5 y = - 2 x + 6$
120664	Find the Slope	(0,4) , (6,-4)	$(0, 4) (6, - 4)$
120665	Identify the Sequence	4 , 9 , 14 , 19 , 24	$4$ , $9$ , $14$ , $19$ , $24$
120666	Find the Slope	3x-7y=4	$3 x - 7 y = 4$
120667	Solve Using the Square Root Property	(x-5)^2=17	${(x - 5)}^{2} = 17$
120668	Solve Using the Square Root Property	5x^2=240	$5 x^{2} = 240$
120669	Solve Using the Square Root Property	(2x-2)^2=30	${(2 x - 2)}^{2} = 30$
120670	Solve Using the Square Root Property	(7x+8)^2=48	${(7 x + 8)}^{2} = 48$
120671	Solve Using the Square Root Property	(x+15)^2-10=0	${(x + 15)}^{2} - 10 = 0$
120672	Solve Using the Square Root Property	x^2=4/9	$x^{2} = \frac{4}{9}$
120673	Solve Using the Square Root Property	3x^2=150	$3 x^{2} = 150$
120674	Solve Using the Square Root Property	(6x+16)^2=75	${(6 x + 16)}^{2} = 75$
120675	Solve Using the Square Root Property	81x^2+17=81	$81 x^{2} + 17 = 81$
120676	Solve Using the Square Root Property	2y^2=100	$2 y^{2} = 100$
120677	Solve Using the Square Root Property	4x^2=15	$4 x^{2} = 15$
120678	Solve Using the Square Root Property	2x^2-88=0	$2 x^{2} - 88 = 0$
120679	Solve Using the Square Root Property	2x^2-8=-170	$2 x^{2} - 8 = - 170$
120680	Find the Discriminant	9v^2+6v+1=0	$9 v^{2} + 6 v + 1 = 0$
120681	Find the Discriminant	2x^2=5x+4	$2 x^{2} = 5 x + 4$
120682	Find the Discriminant	2x^2=-4x+3	$2 x^{2} = - 4 x + 3$
120683	Find the Discriminant	2u^2+8u+8=0	$2 u^{2} + 8 u + 8 = 0$
120684	Find the Discriminant	3r^2+6r+3=0	$3 r^{2} + 6 r + 3 = 0$
120685	Find the Discriminant	3t^2-5t=0	$3 t^{2} - 5 t = 0$
120686	Find the Discriminant	3x^2=8x+4	$3 x^{2} = 8 x + 4$
120687	Find the Discriminant	4q^2+8q+4=0	$4 q^{2} + 8 q + 4 = 0$
120688	Find the Discriminant	4t^2+4t+1=0	$4 t^{2} + 4 t + 1 = 0$
120689	Find the Discriminant	4u^2+8u+4=0	$4 u^{2} + 8 u + 4 = 0$
120690	Find g(f(x))	f(x)=5x+2 , g(x)=(x-2)/5	$f (x) = 5 x + 2$ , $g (x) = \frac{x - 2}{5}$
120691	Find Where Undefined/Discontinuous	y=(x^2-9)/(x-3)	$y = \frac{x^{2} - 9}{x - 3}$
120692	Find f(g(x))	f(x)=5x+2 , g(x)=(x-2)/5	$f (x) = 5 x + 2$ , $g (x) = \frac{x - 2}{5}$
120693	Describe the Transformation	g(x)=-1/3(x-3)^2	$g (x) = - \frac{1}{3} {(x - 3)}^{2}$
120694	Find the GCF	54 , 24	$54$ , $24$
120695	Find the GCF	50y^4 , 175y^3	$50 y^{4}$ , $175 y^{3}$
120696	Find the GCF	28 , 20 , 56	$28$ , $20$ , $56$
120697	Find the GCF	49x , 343x^2	$49 x$ , $343 x^{2}$
120698	Find the GCF	14m^4 , 56m^7	$14 m^{4}$ , $56 m^{7}$
120699	Find the Symmetry	f(x)=x^5-5x	$f (x) = x^{5} - 5 x$
120700	Determine if Linear	10x-9(y+x)=7	$10 x - 9 (y + x) = 7$