Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
40701	Solve by Substitution	x+y=9 , x-y=1	$x + y = 9$ , $x - y = 1$
40702	Solve by Substitution	x-2y=-4 , -x+2y=4	$x - 2 y = - 4$ , $- x + 2 y = 4$
40703	Solve by Substitution	x-2y=-8 , -x+2y=8	$x - 2 y = - 8$ , $- x + 2 y = 8$
40704	Solve by Substitution	x+4y=4 , -x-4y=-4	$x + 4 y = 4$ , $- x - 4 y = - 4$
40705	Solve by Substitution	-x+4y=8 , x-4y=8	$- x + 4 y = 8$ , $x - 4 y = 8$
40706	Solve by Addition/Elimination	3x+4y=2 , 6x+8y=4	$3 x + 4 y = 2$ , $6 x + 8 y = 4$
40707	Find the Vertex	f(x)=(x+3)^2	$f (x) = {(x + 3)}^{2}$
40708	Simplify	(b^-2)/(b^-3)	$\frac{b^{- 2}}{b^{- 3}}$
40709	Factor	-2h^2-15h-7	$- 2 h^{2} - 15 h - 7$
40710	Find the Vertex	x^2-4x-12	$x^{2} - 4 x - 12$
40711	Find the Distance Between Two Points	(5,1) , (8,5)	$(5, 1)$ , $(8, 5)$
40712	Solve by Substitution	3x-7y=33 , -5x+4y=-55	$3 x - 7 y = 33$ , $- 5 x + 4 y = - 55$
40713	Solve by Substitution	3x+4y=2 , 6x+8y=4	$3 x + 4 y = 2$ , $6 x + 8 y = 4$
40714	Solve by Substitution	3x+4y=4 , 6x+8y=8	$3 x + 4 y = 4$ , $6 x + 8 y = 8$
40715	Solve by Substitution	4x-y=3 , 7x-9y=-2	$4 x - y = 3$ , $7 x - 9 y = - 2$
40716	Solve by Substitution	2x+2y=-4 , 2x-y=6	$2 x + 2 y = - 4$ , $2 x - y = 6$
40717	Evaluate	log base 32 of 4	$\log_{32} (4)$
40718	Find the Properties	f(x)=x^2-2x-1	$f (x) = x^{2} - 2 x - 1$
40719	Find the Properties	f(x)=x^2-4x-12	$f (x) = x^{2} - 4 x - 12$
40720	Find the Properties	f(x)=x^2-6x+9	$f (x) = x^{2} - 6 x + 9$
40721	Find the Properties	f(x)=-x^2-6x-5	$f (x) = - x^{2} - 6 x - 5$
40722	Simplify	(12a^-9b^-4)/(9a^2b^6)	$\frac{12 a^{- 9} b^{- 4}}{9 a^{2} b^{6}}$
40723	Find the Domain and Range	f(x)=-x^2-2x+3	$f (x) = - x^{2} - 2 x + 3$
40724	Find the Domain and Range	f(x)=x^2+4x-12	$f (x) = x^{2} + 4 x - 12$
40725	Find the Domain and Range	f(x)=x^2-x-20	$f (x) = x^{2} - x - 20$
40726	Find the Domain and Range	f(x)=x^2-8x+16	$f (x) = x^{2} - 8 x + 16$
40727	Subtract	-2-5	$- 2 - 5$
40728	Solve for x	y>=4x-5	$y \geq 4 x - 5$
40729	Solve for x	4x-6+2x=18	$4 x - 6 + 2 x = 18$
40730	Solve for X	\|X\|=-2	$\| X \| = - 2$
40731	Simplify	((2x)^-2)/((3x)^-2)	$\frac{{(2 x)}^{- 2}}{{(3 x)}^{- 2}}$
40732	Simplify	(x^3+10x^2+13x+39)/(x^2+2x+1)	$\frac{x^{3} + 10 x^{2} + 13 x + 39}{x^{2} + 2 x + 1}$
40733	Solve Using the Quadratic Formula	(x-8)(x-8)=0	$(x - 8) (x - 8) = 0$
40734	Find the Inverse	f(x)=5/x	$f (x) = \frac{5}{x}$
40735	Find the Inverse	f(x)=(x-4)^3	$f (x) = {(x - 4)}^{3}$
40736	Find the Inverse	f(x)=(x+8)^3	$f (x) = {(x + 8)}^{3}$
40737	Find the Inverse	f(x)=2/3x-1	$f (x) = \frac{2}{3} x - 1$
40738	Find the Inverse	y=2x-3	$y = 2 x - 3$
40739	Find the Inverse	f(x)=-3x+6	$f (x) = - 3 x + 6$
40740	Find the Inverse	f(x)=-3x+3	$f (x) = - 3 x + 3$
40741	Find the Inverse	f(x)=4-x	$f (x) = 4 - x$
40742	Find the Inverse	f(x)=7-2x	$f (x) = 7 - 2 x$
40743	Find the Inverse	f(x)=8x+3	$f (x) = 8 x + 3$
40744	Find the Inverse	f(x)=5x+5	$f (x) = 5 x + 5$
40745	Find the Domain and Range	f(x)=(x-3)^2-4	$f (x) = {(x - 3)}^{2} - 4$
40746	Find Any Equation Perpendicular to the Line	2x-3y-5=0	$2 x - 3 y - 5 = 0$
40747	Find Any Equation Perpendicular to the Line	2x-y=16	$2 x - y = 16$
40748	Expand the Logarithmic Expression	natural log of fifth root of ey	$\ln (\sqrt[5]{e y})$
40749	Find Any Equation Perpendicular to the Line	5x=y-12	$5 x = y - 12$
40750	Expand the Logarithmic Expression	log of a^2	$\log (a^{2})$
40751	Find Any Equation Perpendicular to the Line	2x-3y-6=0	$2 x - 3 y - 6 = 0$
40752	Find the Roots (Zeros)	-12x^2+11x-3=0	$- 12 x^{2} + 11 x - 3 = 0$
40753	Find the Slope and y-intercept	q(x)=(8x-8)-(-3+5x)	$q (x) = (8 x - 8) - (- 3 + 5 x)$
40754	Expand the Logarithmic Expression	log of 16	$\log (16)$
40755	Expand the Logarithmic Expression	log of 25	$\log (25)$
40756	Find the Slope and y-intercept	r(x)=5x-(2+2x)/3	$r (x) = 5 x - \frac{(2 + 2 x)}{3}$
40757	Expand the Logarithmic Expression	log of 4x^5	$\log (4 x^{5})$
40758	Write in Exponential Form	log base 6 of x=2	$\log_{6} (x) = 2$
40759	Find the Slope and y-intercept	G(x)=7	$G (x) = 7$
40760	Write in Exponential Form	log base x of 36=2	$\log_{x} (36) = 2$
40761	Find the Slope and y-intercept	h(x)=(3x-19)-(-18+5x)	$h (x) = (3 x - 19) - (- 18 + 5 x)$
40762	Convert to Logarithmic Form	e^6=y	$e^{6} = y$
40763	Find the Slope and y-intercept	g(x)=-4/5x	$g (x) = - \frac{4}{5} x$
40764	Convert to Logarithmic Form	e^4=x	$e^{4} = x$
40765	Find the Slope and y-intercept	g(x)=-5/6x	$g (x) = - \frac{5}{6} x$
40766	Convert to Logarithmic Form	e^(2x)=7	$e^{2 x} = 7$
40767	Find the Slope and y-intercept	f(x)=8-7/8x	$f (x) = 8 - \frac{7}{8} x$
40768	Convert to Logarithmic Form	100=10^2	$100 = 10^{2}$
40769	Find the Slope and y-intercept	f(x)=4(1-3/2x)+3x	$f (x) = 4 (1 - \frac{3}{2} x) + 3 x$
40770	Convert to Logarithmic Form	5^0=1	$5^{0} = 1$
40771	Find the Slope and y-intercept	f(x)=10-8/9x	$f (x) = 10 - \frac{8}{9} x$
40772	Convert to Logarithmic Form	8^-1=1/8	$8^{- 1} = \frac{1}{8}$
40773	Find the Slope and y-intercept	f(x)=-3/4x	$f (x) = - \frac{3}{4} x$
40774	Find the Slope and y-intercept	f(x)=3/7x	$f (x) = \frac{3}{7} x$
40775	Write in Exponential Form	natural log of 6=x	$\ln (6) = x$
40776	Find the Equation that Relates x and y	x=12 , y=3	$x = 12$ , $y = 3$
40777	Find the Equation that Relates x and y	y=10 x=25	$y = 10$ $x = 25$
40778	Expand Using the Binomial Theorem	(3a-b)^3	${(3 a - b)}^{3}$
40779	Evaluate	log base p of 46	$\log_{p} (46)$
40780	Evaluate	log base p of 61	$\log_{p} (61)$
40781	Expand Using the Binomial Theorem	(3x^2-4)^2	${(3 x^{2} - 4)}^{2}$
40782	Evaluate	log base p of 55	$\log_{p} (55)$
40783	Evaluate	log base 8 of 19	$\log_{8} (19)$
40784	Expand Using the Binomial Theorem	(3x-1)^10	${(3 x - 1)}^{10}$
40785	Evaluate	log base 8 of 17	$\log_{8} (17)$
40786	Expand Using the Binomial Theorem	(3x-4y)^4	${(3 x - 4 y)}^{4}$
40787	Evaluate	log base 8 of 128	$\log_{8} (128)$
40788	Expand Using the Binomial Theorem	(4x+5y)^3	${(4 x + 5 y)}^{3}$
40789	Evaluate	log base 8 of 70	$\log_{8} (70)$
40790	Expand Using the Binomial Theorem	(4a+4b+4c)^2	${(4 a + 4 b + 4 c)}^{2}$
40791	Evaluate	log base 6 of 14	$\log_{6} (14)$
40792	Expand Using the Binomial Theorem	(4x-1/(2x))^5	${(4 x - \frac{1}{2 x})}^{5}$
40793	Evaluate	log base 8 of 1/2	$\log_{8} (\frac{1}{2})$
40794	Expand Using the Binomial Theorem	(4p+7q)^4	${(4 p + 7 q)}^{4}$
40795	Evaluate	log base 5 of 1/8	$\log_{5} (\frac{1}{8})$
40796	Expand Using the Binomial Theorem	(2x-3)^9	${(2 x - 3)}^{9}$
40797	Evaluate	log base 4 of 4096	$\log_{4} (4096)$
40798	Expand Using the Binomial Theorem	(2x+3y)^8	${(2 x + 3 y)}^{8}$
40799	Evaluate	log base 4 of 50	$\log_{4} (50)$
40800	Expand Using the Binomial Theorem	(2a-b)^6	${(2 a - b)}^{6}$