Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
64101	Find the Maximum/Minimum Value	f(x)=-3x^2+6x-6	$f (x) = - 3 x^{2} + 6 x - 6$
64102	Find the Maximum/Minimum Value	y=-x^2+2x+3	$y = - x^{2} + 2 x + 3$
64103	Solve by Addition/Elimination	-7x-8y=9 , -4x+9y=-22	$- 7 x - 8 y = 9$ , $- 4 x + 9 y = - 22$
64104	Solve by Addition/Elimination	x^2+y^2=9 , x^2+(y-1)^2=4	$x^{2} + y^{2} = 9$ , $x^{2} + {(y - 1)}^{2} = 4$
64105	Solve by Addition/Elimination	x^2+y^2=4 , x^2+(y+1)^2=9	$x^{2} + y^{2} = 4$ , $x^{2} + {(y + 1)}^{2} = 9$
64106	Solve by Addition/Elimination	x^2+y^2=1 , x^2+(y+2)^2=9	$x^{2} + y^{2} = 1$ , $x^{2} + {(y + 2)}^{2} = 9$
64107	Solve by Addition/Elimination	4x+5y=1 , 8x+10y=2	$4 x + 5 y = 1$ , $8 x + 10 y = 2$
64108	Solve by Substitution	-x+2y=4 , x-2y=4	$- x + 2 y = 4$ , $x - 2 y = 4$
64109	Determine if True	3-2*-1=-1+6	$3 - 2 \cdot - 1 = - 1 + 6$
64110	Determine if True	32=-2(2)-8	$32 = - 2 (2) - 8$
64111	Solve by Substitution	-x+3y=9 , x-3y=-9	$- x + 3 y = 9$ , $x - 3 y = - 9$
64112	Solve by Substitution	-x+4y=8 , x-4y=-8	$- x + 4 y = 8$ , $x - 4 y = - 8$
64113	Determine if True	-39=-7(-6)-3	$- 39 = - 7 (- 6) - 3$
64114	Solve by Substitution	-x+5y=5 , x-5y=5	$- x + 5 y = 5$ , $x - 5 y = 5$
64115	Solve by Substitution	-x+5y=5 , x-5y=-5	$- x + 5 y = 5$ , $x - 5 y = - 5$
64116	Solve by Substitution	8x+14y=4 , -6x-7y=-10	$8 x + 14 y = 4$ , $- 6 x - 7 y = - 10$
64117	Solve by Substitution	x-3y=6 , -x+3y=-6	$x - 3 y = 6$ , $- x + 3 y = - 6$
64118	Solve by Substitution	x-4y=-8 , -x+4y=8	$x - 4 y = - 8$ , $- x + 4 y = 8$
64119	Solve by Substitution	x-2y=-6 , -x+2y=6	$x - 2 y = - 6$ , $- x + 2 y = 6$
64120	Solve by Substitution	x-2y=8 , -x+2y=8	$x - 2 y = 8$ , $- x + 2 y = 8$
64121	Determine if True	4(5+3)=2(22-6)	$4 (5 + 3) = 2 (22 - 6)$
64122	Solve by Substitution	x-2y-z=-6 , -x+6y-3z=18 , 2x-11y+5z=-33	$x - 2 y - z = - 6$ , $- x + 6 y - 3 z = 18$ , $2 x - 11 y + 5 z = - 33$
64123	Determine if True	4(-6)+8(0)<-8	$4 (- 6) + 8 (0) < - 8$
64124	Solve by Substitution	x-y=4 , x+y=8	$x - y = 4$ , $x + y = 8$
64125	Solve by Substitution	-3x-4y=20 , x-10y=16	$- 3 x - 4 y = 20$ , $x - 10 y = 16$
64126	Solve by Substitution	x-y-2z=4 , -x+2y+z=1 , -x+y-3z=11	$x - y - 2 z = 4$ , $- x + 2 y + z = 1$ , $- x + y - 3 z = 11$
64127	Solve by Substitution	x+y=7 , y-x=7	$x + y = 7$ , $y - x = 7$
64128	Solve by Substitution	x+y=9 , x-y=3	$x + y = 9$ , $x - y = 3$
64129	Solve by Substitution	x+y=9 , x=2y	$x + y = 9$ , $x = 2 y$
64130	Determine if True	4(8)-6*5<=-18	$4 (8) - 6 \cdot 5 \leq - 18$
64131	Solve by Substitution	x+y=9 , y=2x	$x + y = 9$ , $y = 2 x$
64132	Solve by Substitution	x+y=-2 , 2x-3y=-9	$x + y = - 2$ , $2 x - 3 y = - 9$
64133	Solve by Substitution	x+y=2 , y-x=2	$x + y = 2$ , $y - x = 2$
64134	Determine if True	-4.7>2.3	$- 4.7 > 2.3$
64135	Solve by Substitution	y=3x+2 , x-4y=9	$y = 3 x + 2$ , $x - 4 y = 9$
64136	Find the Properties	y=(x-3)^2-2	$y = {(x - 3)}^{2} - 2$
64137	Determine if True	-4<=-4	$- 4 \leq - 4$
64138	Find the Center and Radius	(x-1)^2+(y+5)^2=4	${(x - 1)}^{2} + {(y + 5)}^{2} = 4$
64139	Find the Center and Radius	(x+1)^2+y^2=16	${(x + 1)}^{2} + y^{2} = 16$
64140	Find the Center and Radius	(x+3)^2+y^2=25	${(x + 3)}^{2} + y^{2} = 25$
64141	Find the Center and Radius	(x+3)^2+(y-1)^2=16	${(x + 3)}^{2} + {(y - 1)}^{2} = 16$
64142	Determine if True	4>=5	$4 \geq 5$
64143	Find the Center and Radius	x^2+y^2-1/2x+1/2y=1/8	$x^{2} + y^{2} - \frac{1}{2} x + \frac{1}{2} y = \frac{1}{8}$
64144	Find the Center and Radius	(x-7)^2+(y-5)^2=4	${(x - 7)}^{2} + {(y - 5)}^{2} = 4$
64145	Find the Center and Radius	2x^2+2y^2-12x+8y-24=0	$2 x^{2} + 2 y^{2} - 12 x + 8 y - 24 = 0$
64146	Determine if True	4-3 = square root of 5-4	$4 - 3 = \sqrt{5 - 4}$
64147	Find the Center and Radius	x^2+y^2=11	$x^{2} + y^{2} = 11$
64148	Find the Center and Radius	x^2+y^2+4y=0	$x^{2} + y^{2} + 4 y = 0$
64149	Find the Center and Radius	x^2+y^2+8x-2y-8=0	$x^{2} + y^{2} + 8 x - 2 y - 8 = 0$
64150	Find the Center and Radius	x^2+y^2-3x-4y+4=0	$x^{2} + y^{2} - 3 x - 4 y + 4 = 0$
64151	Find the Center and Radius	x^2+y^2-x-6y+9=0	$x^{2} + y^{2} - x - 6 y + 9 = 0$
64152	Find the Center and Radius	x^2+y^2-6x+4y+9=0	$x^{2} + y^{2} - 6 x + 4 y + 9 = 0$
64153	Find the Equation Using Point-Slope Formula	(-2,5) , (3,4)	$(- 2, 5) (3, 4)$
64154	Graph	y=(x-2)(x+5)	$y = (x - 2) (x + 5)$
64155	Add	1/2+1/2	$\frac{1}{2} + \frac{1}{2}$
64156	Simplify/Condense	natural log of x+ natural log of 12	$\ln (x) + \ln (12)$
64157	Simplify/Condense	natural log of x+ natural log of 17	$\ln (x) + \ln (17)$
64158	Simplify/Condense	natural log of a+b+ natural log of a-b-2 natural log of c	$\ln (a + b) + \ln (a - b) - 2 \ln (c)$
64159	Simplify/Condense	natural log of 72x-2 natural log of 2y	$\ln (72 x) - 2 \ln (2 y)$
64160	Simplify/Condense	log of square root of 2+ log of square root of 8	$\log (\sqrt{2}) + \log (\sqrt{8})$
64161	Determine if True	5-6-42=17	$5 \cdot - 6 - 4 \cdot 2 = 17$
64162	Simplify/Condense	log of 25x^3+3 log of 1/x	$\log (25 x^{3}) + 3 \log (\frac{1}{x})$
64163	Determine if True	5<=9	$5 \leq 9$
64164	Simplify/Condense	log of y+12 log of z	$\log (y) + 12 \log (z)$
64165	Simplify/Condense	log of 9x^5+5 log of 1/x	$\log (9 x^{5}) + 5 \log (\frac{1}{x})$
64166	Expand the Logarithmic Expression	log base 14 of 16	$\log_{14} (16)$
64167	Expand the Logarithmic Expression	log of ( square root of yz^5)/(x^3)	$\log (\frac{\sqrt{y z^{5}}}{x^{3}})$
64168	Expand the Logarithmic Expression	log of 100	$\log (100)$
64169	Determine if True	-5=3(0)+5	$- 5 = 3 (0) + 5$
64170	Expand the Logarithmic Expression	log base 2 of (x^2)/4	$\log_{2} (\frac{x^{2}}{4})$
64171	Expand the Logarithmic Expression	log base 4 of fifth root of 4	$\log_{4} (\sqrt[5]{4})$
64172	Expand the Logarithmic Expression	log base 5 of 125/x	$\log_{5} (\frac{125}{x})$
64173	Expand the Logarithmic Expression	log base 6 of 36/( square root of x+1)	$\log_{6} (\frac{36}{\sqrt{x + 1}})$
64174	Expand the Logarithmic Expression	log base 6 of 1296	$\log_{6} (1296)$
64175	Determine if True	5>5	$5 > 5$
64176	Expand the Logarithmic Expression	log base 6 of 15	$\log_{6} (15)$
64177	Determine if True	5-4=7(6-6)	$5 - 4 = 7 (6 - 6)$
64178	Expand the Logarithmic Expression	log base b of yz^8	$\log_{b} (y z^{8})$
64179	Expand the Logarithmic Expression	log base b of 8	$\log_{b} (8)$
64180	Expand the Logarithmic Expression	log base b of x^3z	$\log_{b} (x^{3} z)$
64181	Expand the Logarithmic Expression	log base b of (x^3y)/(z^4)	$\log_{b} (\frac{x^{3} y}{z^{4}})$
64182	Determine if True	6.8<5.9	$6.8 < 5.9$
64183	Expand the Logarithmic Expression	log base a of square root of 1280	$\log_{a} (\sqrt{1280})$
64184	Expand the Logarithmic Expression	log base b of (x^2y)/(z^3)	$\log_{b} (\frac{x^{2} y}{z^{3}})$
64185	Determine if True	-6<4	$- 6 < 4$
64186	Expand the Logarithmic Expression	log base 7 of 49xyz	$\log_{7} (49 x y z)$
64187	Expand the Logarithmic Expression	log base 9 of 1/81	$\log_{9} (\frac{1}{81})$
64188	Expand the Logarithmic Expression	log base 9 of square root of 9	$\log_{9} (\sqrt{9})$
64189	Subtract	(2x+5)/(x^2-3x)-(3x+5)/(x^3-9x)-(x+1)/(x^2-9)	$\frac{2 x + 5}{x^{2} - 3 x} - \frac{3 x + 5}{x^{3} - 9 x} - \frac{x + 1}{x^{2} - 9}$
64190	Find the Inverse	y=x^2+16	$y = x^{2} + 16$
64191	Simplify/Condense	2 log base 4 of 3+ log base 4 of 2	$2 \log_{4} (3) + \log_{4} (2)$
64192	Determine if True	6-5*1=1	$6 - 5 \cdot 1 = 1$
64193	Simplify/Condense	4 natural log of x+6-3 natural log of x	$4 \ln (x + 6) - 3 \ln (x)$
64194	Simplify/Condense	5 log base b of x+6 log base b of y	$5 \log_{b} (x) + 6 \log_{b} (y)$
64195	Simplify/Condense	5 natural log of x-2 natural log of y	$5 \ln (x) - 2 \ln (y)$
64196	Simplify/Condense	log base 2 of 8- log base 2 of 4	$\log_{2} (8) - \log_{2} (4)$
64197	Determine if True	7(-3)-4*0<=18	$7 (- 3) - 4 \cdot 0 \leq 18$
64198	Simplify/Condense	log base 3 of 12- log base 3 of 4	$\log_{3} (12) - \log_{3} (4)$
64199	Simplify/Condense	log base 3 of 5+5 log base 3 of 2	$\log_{3} (5) + 5 \log_{3} (2)$
64200	Simplify/Condense	log base 4 of 8	$\log_{4} (8)$