Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
79901	Find the Maximum/Minimum Value	f(x)=x^2-2x-4	$f (x) = x^{2} - 2 x - 4$
79902	Find the Maximum/Minimum Value	f(x)=x^2-7	$f (x) = x^{2} - 7$
79903	Find the Maximum/Minimum Value	f(x)=x^2+2x-2	$f (x) = x^{2} + 2 x - 2$
79904	Solve by Addition/Elimination	3x+3y=-9 3x-3y=21	$3 x + 3 y = - 9$ $3 x - 3 y = 21$
79905	Find the Maximum/Minimum Value	h(t)=-16t^2+64t+4	$h (t) = - 16 t^{2} + 64 t + 4$
79906	Solve by Addition/Elimination	3x+5y=20 -2x+5y=20	$3 x + 5 y = 20$ $- 2 x + 5 y = 20$
79907	Find the Maximum/Minimum Value	f(x)=7x^2-7x	$f (x) = 7 x^{2} - 7 x$
79908	Find the Midpoint	(1,10) , (3,8)	$(1, 10)$ , $(3, 8)$
79909	Find the Midpoint	(10,0) , (-7,-5)	$(10, 0)$ , $(- 7, - 5)$
79910	Solve by Addition/Elimination	5x+6y=5 , 10x+12y=10	$5 x + 6 y = 5$ , $10 x + 12 y = 10$
79911	Solve by Addition/Elimination	x+y=6 , x-y=4	$x + y = 6$ , $x - y = 4$
79912	Solve by Addition/Elimination	x^2+y^2=49 , y^2-6x=49	$x^{2} + y^{2} = 49$ , $y^{2} - 6 x = 49$
79913	Find the Equation Given the Roots	4 , -11/3	$4$ , $- \frac{11}{3}$
79914	Solve by Substitution	x+2y=2 , -x-2y=2	$x + 2 y = 2$ , $- x - 2 y = 2$
79915	Solve by Substitution	x+2y=2 , -x-2y=-2	$x + 2 y = 2$ , $- x - 2 y = - 2$
79916	Solve by Substitution	x+3=y , 3x+4y=7	$x + 3 = y$ , $3 x + 4 y = 7$
79917	Solve by Substitution	x+7y=0 , 2x-8y=22	$x + 7 y = 0$ , $2 x - 8 y = 22$
79918	Solve by Substitution	-9x+4y=8 , -3x-y=4	$- 9 x + 4 y = 8$ , $- 3 x - y = 4$
79919	Solve by Substitution	9x+y=2 , -4x-y=-17	$9 x + y = 2$ , $- 4 x - y = - 17$
79920	Solve by Substitution	x-3y=-9 , -x+3y=9	$x - 3 y = - 9$ , $- x + 3 y = 9$
79921	Solve by Addition/Elimination	3x=9-6y 3x+8y=9	$3 x = 9 - 6 y$ $3 x + 8 y = 9$
79922	Solve by Substitution	x-3y=3 , -x+3y=3	$x - 3 y = 3$ , $- x + 3 y = 3$
79923	Solve by Substitution	-x-5y=5 , x+5y=5	$- x - 5 y = 5$ , $x + 5 y = 5$
79924	Solve by Substitution	x-5y=-5 , -x+5y=5	$x - 5 y = - 5$ , $- x + 5 y = 5$
79925	Solve by Substitution	-x-5y-5z=2 , 4x-5y+4z=19 , x+5y-z=-20	$- x - 5 y - 5 z = 2$ , $4 x - 5 y + 4 z = 19$ , $x + 5 y - z = - 20$
79926	Solve by Substitution	x-2y=0 , 4x-3y=15	$x - 2 y = 0$ , $4 x - 3 y = 15$
79927	Solve by Substitution	x=y-7 , x+8y=2	$x = y - 7$ , $x + 8 y = 2$
79928	Solve by Addition/Elimination	3x-2y=5 -6x+4y=-10	$3 x - 2 y = 5$ $- 6 x + 4 y = - 10$
79929	Solve by Substitution	5x-3y=-11 , 2x-6y=-14	$5 x - 3 y = - 11$ , $2 x - 6 y = - 14$
79930	Solve by Substitution	y=2x , y=2x	$y = 2 x$ , $y = 2 x$
79931	Solve by Substitution	x+y=8 , x-y=2	$x + y = 8$ , $x - y = 2$
79932	Solve by Addition/Elimination	3x-2y=-9 2x-3y=-16	$3 x - 2 y = - 9$ $2 x - 3 y = - 16$
79933	Solve by Substitution	x+y=8 , x=3y	$x + y = 8$ , $x = 3 y$
79934	Solve by Substitution	x+y=7 , x-y=5	$x + y = 7$ , $x - y = 5$
79935	Solve by Substitution	x+y=3 , y=x^2-8x+15	$x + y = 3$ , $y = x^{2} - 8 x + 15$
79936	Solve by Substitution	x+y=4 , x=3y	$x + y = 4$ , $x = 3 y$
79937	Solve by Substitution	x+y=4 , x-y=6	$x + y = 4$ , $x - y = 6$
79938	Solve by Substitution	x+y=10 , x-y=2	$x + y = 10$ , $x - y = 2$
79939	Solve by Substitution	x+y=16 , x=3y	$x + y = 16$ , $x = 3 y$
79940	Solve by Addition/Elimination	3x-4y=-24 x+y=-1	$3 x - 4 y = - 24$ $x + y = - 1$
79941	Solve by Substitution	y=x+6 , y=2x	$y = x + 6$ , $y = 2 x$
79942	Solve by Addition/Elimination	3x-4y=26 2x+8y=-36	$3 x - 4 y = 26$ $2 x + 8 y = - 36$
79943	Solve by Substitution	y=-x+3 , 2y+2x=4	$y = - x + 3$ , $2 y + 2 x = 4$
79944	Solve by Substitution	y=x+5 , 4x+y=20	$y = x + 5$ , $4 x + y = 20$
79945	Solve by Substitution	y=4x-8 , y=2x+10	$y = 4 x - 8$ , $y = 2 x + 10$
79946	Solve by Substitution	y=7x+11 , y=11x+12	$y = 7 x + 11$ , $y = 11 x + 12$
79947	Solve by Substitution	y=3x+1 , 3y-7x=9	$y = 3 x + 1$ , $3 y - 7 x = 9$
79948	Solve by Substitution	y=2x-1 , 3x-y=-1	$y = 2 x - 1$ , $3 x - y = - 1$
79949	Graph the Interval	(2,infinity)	$(2, \infty)$
79950	Multiply	2*-2	$2 \cdot - 2$
79951	Find the Center and Radius	(x-3)^2+(y+2)^2=16	${(x - 3)}^{2} + {(y + 2)}^{2} = 16$
79952	Find the Center and Radius	(x-3)^2+(y+4)^2=16	${(x - 3)}^{2} + {(y + 4)}^{2} = 16$
79953	Solve by Addition/Elimination	3x-y=9 2x+y=6	$3 x - y = 9$ $2 x + y = 6$
79954	Find the Center and Radius	(x+1)^2+(y-3)^2=9	${(x + 1)}^{2} + {(y - 3)}^{2} = 9$
79955	Find the Center and Radius	(x+1)^2+(y-3)^2=16	${(x + 1)}^{2} + {(y - 3)}^{2} = 16$
79956	Find the Center and Radius	(x+5)^2+(y+8)^2=16	${(x + 5)}^{2} + {(y + 8)}^{2} = 16$
79957	Find the Center and Radius	(x+3)^2+(y-4)^2=25	${(x + 3)}^{2} + {(y - 4)}^{2} = 25$
79958	Find the Center and Radius	x^2+y^2+10x+6y+25=0	$x^{2} + y^{2} + 10 x + 6 y + 25 = 0$
79959	Find the Center and Radius	(x-3)^2+y^2=9	${(x - 3)}^{2} + y^{2} = 9$
79960	Find the Center and Radius	(x-4)^2+(y+3)^2=25	${(x - 4)}^{2} + {(y + 3)}^{2} = 25$
79961	Find the Center and Radius	(x-5)^2+(y+6)^2=9	${(x - 5)}^{2} + {(y + 6)}^{2} = 9$
79962	Find the Center and Radius	x^2+y^2-10x-6y-30=0	$x^{2} + y^{2} - 10 x - 6 y - 30 = 0$
79963	Find the Center and Radius	x^2+y^2=17	$x^{2} + y^{2} = 17$
79964	Find the Center and Radius	x^2+y^2-10x+2y+17=0	$x^{2} + y^{2} - 10 x + 2 y + 17 = 0$
79965	Solve by Addition/Elimination	4x+13y=40 , 4x+3y=-40	$4 x + 13 y = 40$ , $4 x + 3 y = - 40$
79966	Find the Center and Radius	x^2+y^2+6x-8=0	$x^{2} + y^{2} + 6 x - 8 = 0$
79967	Find the Center and Radius	x^2+y^2+8x+2y+13=0	$x^{2} + y^{2} + 8 x + 2 y + 13 = 0$
79968	Find the Center and Radius	x^2+y^2-8x+4y=-11	$x^{2} + y^{2} - 8 x + 4 y = - 11$
79969	Find the Center and Radius	x^2+y^2-4y=0	$x^{2} + y^{2} - 4 y = 0$
79970	Find the Center and Radius	x^2+y^2-2x-6y-26=0	$x^{2} + y^{2} - 2 x - 6 y - 26 = 0$
79971	Solve by Addition/Elimination	4x+2y=-8 3x-2y=22	$4 x + 2 y = - 8$ $3 x - 2 y = 22$
79972	Find the Center and Radius	x^2+y^2-2x+6y+6=0	$x^{2} + y^{2} - 2 x + 6 y + 6 = 0$
79973	Solve by Addition/Elimination	4x+2y=8 , 4x+3y=16	$4 x + 2 y = 8$ , $4 x + 3 y = 16$
79974	Find the Center and Radius	x^2+y^2-2x+6y-15=0	$x^{2} + y^{2} - 2 x + 6 y - 15 = 0$
79975	Find the Properties	(y^2)/25-(x^2)/36=1	$\frac{y^{2}}{25} - \frac{x^{2}}{36} = 1$
79976	Multiply	9x(5x^2)	$9 x (5 x^{2})$
79977	Simplify/Condense	natural log of 3	$\ln (3)$
79978	Simplify/Condense	natural log of x+ natural log of 20	$\ln (x) + \ln (20)$
79979	Solve by Addition/Elimination	4x+6y=-24 -7x+6y=9	$4 x + 6 y = - 24$ $- 7 x + 6 y = 9$
79980	Simplify/Condense	natural log of x- natural log of y	$\ln (x) - \ln (y)$
79981	Solve by Addition/Elimination	-4x+7y=9 2y=-5x-22	$- 4 x + 7 y = 9$ $2 y = - 5 x - 22$
79982	Simplify/Condense	natural log of 7+ natural log of 5	$\ln (7) + \ln (5)$
79983	Solve by Addition/Elimination	4x+8y=16 3x+6y=12	$4 x + 8 y = 16$ $3 x + 6 y = 12$
79984	Simplify/Condense	log of 100000- log of 100	$\log (100000) - \log (100)$
79985	Simplify/Condense	log of 3x+8- log of x	$\log (3 x + 8) - \log (x)$
79986	Simplify/Condense	log of 4- log of 10	$\log (4) - \log (10)$
79987	Solve by Addition/Elimination	4x+y=-1 2x-y=-5	$4 x + y = - 1$ $2 x - y = - 5$
79988	Simplify/Condense	log of 2x+3- log of x	$\log (2 x + 3) - \log (x)$
79989	Simplify/Condense	log of 5x+2- log of x	$\log (5 x + 2) - \log (x)$
79990	Expand the Logarithmic Expression	log of m^k	$\log (m^{k})$
79991	Expand the Logarithmic Expression	log base 12 of 16	$\log_{12} (16)$
79992	Expand the Logarithmic Expression	log base 11 of 11x	$\log_{11} (11 x)$
79993	Expand the Logarithmic Expression	log base 3 of square root of 27	$\log_{3} (\sqrt{27})$
79994	Solve by Addition/Elimination	4x-2y=9 , 12x-7y=6	$4 x - 2 y = 9$ , $12 x - 7 y = 6$
79995	Expand the Logarithmic Expression	log base 3 of 27/x	$\log_{3} (\frac{27}{x})$
79996	Expand the Logarithmic Expression	log base 3 of x square root of y	$\log_{3} (x \sqrt{y})$
79997	Solve by Addition/Elimination	4x-3y=25 -3x+8y=10	$4 x - 3 y = 25$ $- 3 x + 8 y = 10$
79998	Solve by Addition/Elimination	4x-4y=10 , 3x+2y=5	$4 x - 4 y = 10$ , $3 x + 2 y = 5$
79999	Expand the Logarithmic Expression	log base 3 of 10z	$\log_{3} (10 z)$
80000	Expand the Logarithmic Expression	log base 2 of 4x^2+8x+4	$\log_{2} (4 x^{2} + 8 x + 4)$