Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
71201	Expand the Trigonometric Expression	6(2x-3)-2(2x+1)	$6 (2 x - 3) - 2 (2 x + 1)$
71202	Solve by Addition/Elimination	16x-10y=10 , -8x-6y=6	$16 x - 10 y = 10$ , $- 8 x - 6 y = 6$
71203	Expand the Trigonometric Expression	6(5r-11)-(5-r)	$6 (5 r - 11) - (5 - r)$
71204	Solve by Addition/Elimination	2x+3y=3 , 4x+6y=6	$2 x + 3 y = 3$ , $4 x + 6 y = 6$
71205	Expand the Trigonometric Expression	6x(x-2y)	$6 x (x - 2 y)$
71206	Solve by Addition/Elimination	5x-2y=3 , -20x+8y=-12	$5 x - 2 y = 3$ , $- 20 x + 8 y = - 12$
71207	Expand the Trigonometric Expression	-8(3k-2)	$- 8 (3 k - 2)$
71208	Expand the Trigonometric Expression	8-4(-x+5)	$8 - 4 (- x + 5)$
71209	Find the Maximum/Minimum Value	y=x^2+4x+1	$y = x^{2} + 4 x + 1$
71210	Expand the Trigonometric Expression	log of cube root of ((x+5)^4)/(x^2)	$\log (\sqrt[3]{\frac{{(x + 5)}^{4}}{x^{2}}})$
71211	Find the Maximum/Minimum Value	r(p)=-2.5p^2+850p	$r (p) = - 2.5 p^{2} + 850 p$
71212	Expand the Trigonometric Expression	x(4x+1)	$x (4 x + 1)$
71213	Simplify	3 square root of 27x^3-2 square root of 12x^3	$3 \sqrt{27 x^{3}} - 2 \sqrt{12 x^{3}}$
71214	Solve for x	3x-5<7	$3 x - 5 < 7$
71215	Find the Tangent Line at x=1	f(x)=8+ natural log of x ; x=1	$f (x) = 8 + \ln (x)$ ; $x = 1$
71216	Find the Maximum/Minimum Value	f(x)=4x^2-16x+6	$f (x) = 4 x^{2} - 16 x + 6$
71217	Find the Maximum/Minimum Value	f(x)=2x^2-8x-3	$f (x) = 2 x^{2} - 8 x - 3$
71218	Determine if Injective (One to One)	7x-5	$7 x - 5$
71219	Find the Focus	y=-1/8(x-2)^2+7	$y = - \frac{1}{8} {(x - 2)}^{2} + 7$
71220	Find the Focus	y=1/8x^2+4x+20	$y = \frac{1}{8} x^{2} + 4 x + 20$
71221	Find the Vertex	f(x)=3x^2-6x+8	$f (x) = 3 x^{2} - 6 x + 8$
71222	Find the Focus	y=-1/4x^2-1/2x-1/4	$y = - \frac{1}{4} x^{2} - \frac{1}{2} x - \frac{1}{4}$
71223	Find the Vertex	c(x)=x^2+6x+14	$c (x) = x^{2} + 6 x + 14$
71224	Find the Focus	y=1/36x^2	$y = \frac{1}{36} x^{2}$
71225	Find the Vertex	f(x)=(x-6)^2	$f (x) = {(x - 6)}^{2}$
71226	Find the Focus	y^2-4x+6y+17=0	$y^{2} - 4 x + 6 y + 17 = 0$
71227	Evaluate	log base 3 of 729	$\log_{3} (729)$
71228	Find the Focus	y=(1/28)x^2	$y = (\frac{1}{28}) x^{2}$
71229	Find the Vertex	f(x)=(x-1)^2+2	$f (x) = {(x - 1)}^{2} + 2$
71230	Find the Focus	y=-1/28x^2	$y = - \frac{1}{28} x^{2}$
71231	Find the Vertex	f(x)=x^2+3x-10	$f (x) = x^{2} + 3 x - 10$
71232	Find the Focus	y=1/12(x-4)^2+3	$y = \frac{1}{12} {(x - 4)}^{2} + 3$
71233	Evaluate	log base 2 of 0	$\log_{2} (0)$
71234	Find the Focus	y^2=-1/5x	$y^{2} = - \frac{1}{5} x$
71235	Find the Focus	y^2+8x-2y+41=0	$y^{2} + 8 x - 2 y + 41 = 0$
71236	Find the Focus	y^2-4y+8x+4=0	$y^{2} - 4 y + 8 x + 4 = 0$
71237	Find the Vertex	f(x)=-x^2+4x-9	$f (x) = - x^{2} + 4 x - 9$
71238	Find the Focus	y^2-8x+10y+9=0	$y^{2} - 8 x + 10 y + 9 = 0$
71239	Find the Focus	y-1=-1/4(x-5)^2	$y - 1 = - \frac{1}{4} {(x - 5)}^{2}$
71240	Find the Focus	x^2-8y=0	$x^{2} - 8 y = 0$
71241	Find the Vertex	f(x)=x^2+8x+10	$f (x) = x^{2} + 8 x + 10$
71242	Find the Vertex	f(x)=-x^2+8x-7	$f (x) = - x^{2} + 8 x - 7$
71243	Find the Focus	x^2+6x=4y-5	$x^{2} + 6 x = 4 y - 5$
71244	Factor	16x^2+8x-15	$16 x^{2} + 8 x - 15$
71245	Find the Focus	x^2+8x+8y=0	$x^{2} + 8 x + 8 y = 0$
71246	Find the Vertex	f(x)=x^2-2x-1	$f (x) = x^{2} - 2 x - 1$
71247	Find the Vertex	f(x)=x^2-64	$f (x) = x^{2} - 64$
71248	Find the Focus	x=-16y^2	$x = - 16 y^{2}$
71249	Find the Focus	y^2+4y-x=0	$y^{2} + 4 y - x = 0$
71250	Find the Focus	y^2+6y+2x+5=0	$y^{2} + 6 y + 2 x + 5 = 0$
71251	Find the Vertex	f(x)=x^2-8x-6	$f (x) = x^{2} - 8 x - 6$
71252	Find the Vertex	f(x)=2x^2-5x+2	$f (x) = 2 x^{2} - 5 x + 2$
71253	Find the Focus	(x-7)^2=16(y+5)	${(x - 7)}^{2} = 16 (y + 5)$
71254	Find the Focus	(y-2)^2=8(x+2)	${(y - 2)}^{2} = 8 (x + 2)$
71255	Find the Vertex	f(x)=-2x^2	$f (x) = - 2 x^{2}$
71256	Find the Vertex	f(x)=2(x-3)^2+1	$f (x) = 2 {(x - 3)}^{2} + 1$
71257	Find the Focus	(y-2)^2=16(x-3)	${(y - 2)}^{2} = 16 (x - 3)$
71258	Find the Vertex	x^2+4x-3	$x^{2} + 4 x - 3$
71259	Find the Focus	(y-2)^2=4(x+2)	${(y - 2)}^{2} = 4 (x + 2)$
71260	Find the Focus	(x-2)^2=8(y-1)	${(x - 2)}^{2} = 8 (y - 1)$
71261	Find the Vertex	-x^2+2x+3	$- x^{2} + 2 x + 3$
71262	Find the Focus	(x+4)^2=12(y-2)	${(x + 4)}^{2} = 12 (y - 2)$
71263	Find the Vertex	x^2+5x+4	$x^{2} + 5 x + 4$
71264	Find the Focus	8y=x^2-8x-16	$8 y = x^{2} - 8 x - 16$
71265	Find the Focus	9x^2-2y=0	$9 x^{2} - 2 y = 0$
71266	Solve by Substitution	3c+2d=2 , d=4	$3 c + 2 d = 2$ , $d = 4$
71267	Find the Focus	6x^2+3y=0	$6 x^{2} + 3 y = 0$
71268	Solve by Substitution	2y=x+1 , -2x-y=7	$2 y = x + 1$ , $- 2 x - y = 7$
71269	Solve by Substitution	3+2x-y=0 , -3-7y=10x	$3 + 2 x - y = 0$ , $- 3 - 7 y = 10 x$
71270	Find the Focus	x^2+10x=4y-21	$x^{2} + 10 x = 4 y - 21$
71271	Solve by Substitution	4x+y=32 , y=4x	$4 x + y = 32$ , $y = 4 x$
71272	Find the Focus	4(x-2)=(y+3)^2	$4 (x - 2) = {(y + 3)}^{2}$
71273	Solve by Substitution	4x=3y-2 , 18=3x+y	$4 x = 3 y - 2$ , $18 = 3 x + y$
71274	Find the Focus	4y=x^2-12x+52	$4 y = x^{2} - 12 x + 52$
71275	Solve by Substitution	5x+2y+z=-11 , 2x-3y-z=17 , 7x+y+2z=-4	$5 x + 2 y + z = - 11$ , $2 x - 3 y - z = 17$ , $7 x + y + 2 z = - 4$
71276	Find the Focus	(y-3)^2=4(x+1)	${(y - 3)}^{2} = 4 (x + 1)$
71277	Solve by Substitution	5x+y=8 , y=3x	$5 x + y = 8$ , $y = 3 x$
71278	Find the Focus	(y-3)^2=8(x-2)	${(y - 3)}^{2} = 8 (x - 2)$
71279	Solve by Substitution	5x-2y=-1 , x+4y=35	$5 x - 2 y = - 1$ , $x + 4 y = 35$
71280	Solve by Substitution	5x-y=-6 , -x+y=2	$5 x - y = - 6$ , $- x + y = 2$
71281	Find the Focus	12(y+3)=(x-4)^2	$12 (y + 3) = {(x - 4)}^{2}$
71282	Solve by Substitution	-7x+2y=18 , 6x+6y=0	$- 7 x + 2 y = 18$ , $6 x + 6 y = 0$
71283	Find the Focus	-12(y-6)^2=(x+5)	$- 12 {(y - 6)}^{2} = (x + 5)$
71284	Solve by Substitution	-6x+5y=1 , 6x+4y=-10	$- 6 x + 5 y = 1$ , $6 x + 4 y = - 10$
71285	Find the Focus	2y^2-3x=0	$2 y^{2} - 3 x = 0$
71286	Graph	-6x+2y<=42	$- 6 x + 2 y \leq 42$
71287	Graph	y=4x^2+5x-1	$y = 4 x^{2} + 5 x - 1$
71288	Solve by Substitution	15x-10y=5 , 15y=-4+5x	$15 x - 10 y = 5$ , $15 y = - 4 + 5 x$
71289	Solve by Substitution	2x+3y=0 , x+2y=-1	$2 x + 3 y = 0$ , $x + 2 y = - 1$
71290	Find @FORMULA	f(x)=x^2-8x+2	$f (x) = x^{2} - 8 x + 2$
71291	Solve by Substitution	2x+3y=3 , 4x+6y=6	$2 x + 3 y = 3$ , $4 x + 6 y = 6$
71292	Find @FORMULA	f(x)=x^2-9x	$f (x) = x^{2} - 9 x$
71293	Solve by Substitution	2x+3y=3 , 3x-2y=11	$2 x + 3 y = 3$ , $3 x - 2 y = 11$
71294	Solve by Substitution	2x+4y=-3 , 2x-y=7	$2 x + 4 y = - 3$ , $2 x - y = 7$
71295	Solve by Substitution	x^2+y^2=89 , y-x=3	$x^{2} + y^{2} = 89$ , $y - x = 3$
71296	Find @FORMULA	f(x)=7-x^2	$f (x) = 7 - x^{2}$
71297	Solve by Substitution	x^2+y^2=36 , x^2-y^2=36	$x^{2} + y^{2} = 36$ , $x^{2} - y^{2} = 36$
71298	Find @FORMULA	f(x)=3x^2-7	$f (x) = 3 x^{2} - 7$
71299	Solve by Substitution	x^2+y^2=49 , y^2-5x=49	$x^{2} + y^{2} = 49$ , $y^{2} - 5 x = 49$
71300	Solve by Substitution	x^2-y=0 , 7x+y=18	$x^{2} - y = 0$ , $7 x + y = 18$