Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117901	Convert to Logarithmic Form	7^x=24	$7^{x} = 24$
117902	Convert to Logarithmic Form	2^(4x)=14	$2^{4 x} = 14$
117903	Convert to Logarithmic Form	7^(2x)+7^x-6=0	$7^{2 x} + 7^{x} - 6 = 0$
117904	Find the Vertex Form	y=2x^2+16x+29	$y = 2 x^{2} + 16 x + 29$
117905	Convert to Logarithmic Form	13^-2=1/169	$13^{- 2} = \frac{1}{169}$
117906	Find the Domain and Range	square root of x-2+3	$\sqrt{x - 2} + 3$
117907	Find the Domain and Range	2+ natural log of x	$2 + \ln (x)$
117908	Find the Domain and Range	square root of x-2+1	$\sqrt{x - 2} + 1$
117909	Find the Domain and Range	natural log of \|x\|	$\ln (\| x \|)$
117910	Find dx/dy	tan(x-y)=y/(1+x^2)	$\tan (x - y) = \frac{y}{1 + x^{2}}$
117911	Convert to a Percentage	44/25	$\frac{44}{25}$
117912	Solve by Factoring	x^2+7x=3x	$x^{2} + 7 x = 3 x$
117913	Solve by Factoring	9x^2-10x=x^2+4x	$9 x^{2} - 10 x = x^{2} + 4 x$
117914	Solve by Factoring	x^2+2x-4=2x	$x^{2} + 2 x - 4 = 2 x$
117915	Solve by Factoring	x^2-61=20	$x^{2} - 61 = 20$
117916	Solve by Factoring	x^2-2x-5=-2	$x^{2} - 2 x - 5 = - 2$
117917	Solve by Factoring	4y^3-7y^2+28=16y	$4 y^{3} - 7 y^{2} + 28 = 16 y$
117918	Solve by Factoring	4y^4+7y^2-36=0	$4 y^{4} + 7 y^{2} - 36 = 0$
117919	Solve by Factoring	5x^3+4x^2=45x+36	$5 x^{3} + 4 x^{2} = 45 x + 36$
117920	Solve by Factoring	(4x+3)/(x-8)=7/(8-x)	$\frac{4 x + 3}{x - 8} = \frac{7}{8 - x}$
117921	Convert to a Simplified Fraction	-1.7	$- 1.7$
117922	Convert to a Simplified Fraction	61%	$61 %$
117923	Convert to a Simplified Fraction	-3.143	$- 3.143$
117924	Convert to a Simplified Fraction	24.5	$24.5$
117925	Write in Standard Form	8x^2-15+5x^5	$8 x^{2} - 15 + 5 x^{5}$
117926	Write in Standard Form	-14i+i^2	$- 14 i + i^{2}$
117927	Write in Standard Form	(9+q)(8-q)	$(9 + q) (8 - q)$
117928	Write in Standard Form	-5y^2(-3y^3+8y)	$- 5 y^{2} (- 3 y^{3} + 8 y)$
117929	Write in Standard Form	(-5q^2+6q+7)+(-q^2+4q)	$(- 5 q^{2} + 6 q + 7) + (- q^{2} + 4 q)$
117930	Write in Standard Form	(10-20i)/(1-3i)	$\frac{10 - 20 i}{1 - 3 i}$
117931	Solve by Factoring	x^3-8x^2+16x=0	$x^{3} - 8 x^{2} + 16 x = 0$
117932	Write in Standard Form	(7-11i)/(1-3i)	$\frac{7 - 11 i}{1 - 3 i}$
117933	Write in Standard Form	(-w^3+8w^2-3w)+(-8w^2+w+3)	$(- w^{3} + 8 w^{2} - 3 w) + (- 8 w^{2} + w + 3)$
117934	Convert to Regular Notation	2.6*10^3	$2.6 \cdot 10^{3}$
117935	Convert to Regular Notation	1.50*10^7	$1.5 \cdot 10^{7}$
117936	Convert to Regular Notation	7.2*10^5	$7.2 \cdot 10^{5}$
117937	Convert to Regular Notation	9.57*10^-5	$9.57 \cdot 10^{- 5}$
117938	Convert to Regular Notation	1.80*10^-6	$1.8 \cdot 10^{- 6}$
117939	Find the Reference Angle	2.4pi	$2.4 π$
117940	Divide Using Long Polynomial Division	(4x^2-9)/(2x+3)	$\frac{(4 x^{2} - 9)}{(2 x + 3)}$
117941	Divide Using Long Polynomial Division	(9x-4)÷(3x+2)	$(9 x - 4) \div (3 x + 2)$
117942	Divide Using Long Polynomial Division	(12a^3-6a^2-2a+7)/(4a+2)	$\frac{12 a^{3} - 6 a^{2} - 2 a + 7}{4 a + 2}$
117943	Divide Using Long Polynomial Division	(x^3+y^3)÷(x-y)	$(x^{3} + y^{3}) \div (x - y)$
117944	Divide Using Long Polynomial Division	(x^3-13x^2+40x+18)÷(x-7)	$(x^{3} - 13 x^{2} + 40 x + 18) \div (x - 7)$
117945	Divide Using Long Polynomial Division	(x^3+5x^2-32x-7)÷(x-4)	$(x^{3} + 5 x^{2} - 32 x - 7) \div (x - 4)$
117946	Find Where Increasing/Decreasing	f(x)=-1/2x^2+7x-8	$f (x) = - \frac{1}{2} x^{2} + 7 x - 8$
117947	Reduce the Fraction	24/720	$\frac{24}{720}$
117948	Reduce the Fraction	6/26	$\frac{6}{26}$
117949	Find Amplitude, Period, and Phase Shift	y=4/3sin(2/3x)	$y = \frac{4}{3} \sin (\frac{2}{3} x)$
117950	Verify the Identity	cos(x)cos(y)+sin(x)sin(y)+cos(x)cos(y)-sin(x)sin(y)=2cos(x)cos(y)	$\cos (x) \cos (y) + \sin (x) \sin (y) + \cos (x) \cos (y) - \sin (x) \sin (y) = 2 \cos (x) \cos (y)$
117951	Solve by Completing the Square	x^2-12x=39	$x^{2} - 12 x = 39$
117952	Solve by Completing the Square	x^2+6x-4=36	$x^{2} + 6 x - 4 = 36$
117953	Solve by Completing the Square	-9x^2+36x=41	$- 9 x^{2} + 36 x = 41$
117954	Solve by Completing the Square	5x^2-10x=23	$5 x^{2} - 10 x = 23$
117955	Solve by Completing the Square	4x^2+24x=-35	$4 x^{2} + 24 x = - 35$
117956	Find the LCD	x/(5x-5) , 3/(2x-2)	$\frac{x}{5 x - 5}$ , $\frac{3}{2 x - 2}$
117957	Expand the Trigonometric Expression	(1-5z)(2-5z)	$(1 - 5 z) (2 - 5 z)$
117958	Complete the Square	t^2-30t	$t^{2} - 30 t$
117959	Find the Axis of Symmetry	f(x)=x^2+8x+17	$f (x) = x^{2} + 8 x + 17$
117960	Find the LCM	3x , 3(x-2)	$3 x$ , $3 (x - 2)$
117961	Find the Prime Factorization	378	$378$
117962	Describe the Transformation	y=(x+10)^2	$y = {(x + 10)}^{2}$
117963	Describe the Transformation	h(x)=- square root of x+5	$h (x) = - \sqrt{x + 5}$
117964	Find the Asymptotes	y=(x+5)/(5x^2-6)	$y = \frac{x + 5}{5 x^{2} - 6}$
117965	Find the Asymptotes	y=(1/2)^x+3	$y = {(\frac{1}{2})}^{x} + 3$
117966	Find the Axis of Symmetry	y=(x+2)(x-2)	$y = (x + 2) (x - 2)$
117967	Find the x and y Intercepts	-4x^2-12x+8	$- 4 x^{2} - 12 x + 8$
117968	Determine if the Expression is a Perfect Square	y^2+25y+200	$y^{2} + 25 y + 200$
117969	Find the Slope and y-intercept	y=-5x+13	$y = - 5 x + 13$
117970	Find the Slope and y-intercept	y=-6/7x	$y = - \frac{6}{7} x$
117971	Find the Slope and y-intercept	8x-y=3	$8 x - y = 3$
117972	Find the Slope and y-intercept	-7x-4y=-20	$- 7 x - 4 y = - 20$
117973	Find the Slope and y-intercept	7x-y=1	$7 x - y = 1$
117974	Find the Slope and y-intercept	9y=5x	$9 y = 5 x$
117975	Find the Slope and y-intercept	4x+6y=5	$4 x + 6 y = 5$
117976	Find the Slope and y-intercept	5x+6y=19	$5 x + 6 y = 19$
117977	Find the Slope and y-intercept	5(2x-9y)=12	$5 (2 x - 9 y) = 12$
117978	Find the Slope and y-intercept	5x+6y=13	$5 x + 6 y = 13$
117979	Find the Slope and y-intercept	-3x-4y=8	$- 3 x - 4 y = 8$
117980	Find the Slope and y-intercept	3x-3y=12	$3 x - 3 y = 12$
117981	Find the Slope and y-intercept	5x-6y=-19	$5 x - 6 y = - 19$
117982	Solve by Substitution	-4x+11y=15 x=2y	$- 4 x + 11 y = 15$ $x = 2 y$
117983	Find the Other Trig Values in Quadrant II	sin(x)=8/17	$\sin (x) = \frac{8}{17}$
117984	Find the Discriminant	2h^2+7h+4=0	$2 h^{2} + 7 h + 4 = 0$
117985	Find the Discriminant	3x^2=7x+4	$3 x^{2} = 7 x + 4$
117986	Find the Discriminant	2x^2+20x+50=0	$2 x^{2} + 20 x + 50 = 0$
117987	Find the Inverse	(x+14)/(x-7)	$\frac{x + 14}{x - 7}$
117988	Solve Using the Square Root Property	3(x+2)^2=54	$3 {(x + 2)}^{2} = 54$
117989	Solve Using the Square Root Property	2(x+7)^2=40	$2 {(x + 7)}^{2} = 40$
117990	Solve Using the Square Root Property	3(x+6)^2=60	$3 {(x + 6)}^{2} = 60$
117991	Solve Using the Square Root Property	x^2+2x+1=16	$x^{2} + 2 x + 1 = 16$
117992	Solve Using the Square Root Property	2(x+9)^2=90	$2 {(x + 9)}^{2} = 90$
117993	Find the Slope	6x-4y=6	$6 x - 4 y = 6$
117994	Find the Slope	10x+4y=-8	$10 x + 4 y = - 8$
117995	Identify the Sequence	1 , 6 , 11 , 16	$1$ , $6$ , $11$ , $16$
117996	Identify the Sequence	-3 , -15 , -75 , -375	$- 3$ , $- 15$ , $- 75$ , $- 375$
117997	Find the Slope	(-4,6) , (3,-8)	$(- 4, 6) (3, - 8)$
117998	Find the Slope	(19,3) , (20,3)	$(19, 3) (20, 3)$
117999	Find the Maximum/Minimum Value	h(t)=-0.2t^2+2t	$h (t) = - 0.2 t^{2} + 2 t$
118000	Find the Maximum/Minimum Value	f(x)=2x^2+20x-9	$f (x) = 2 x^{2} + 20 x - 9$