Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
120201	Write as a Function of x	x^2+x=-x-3y	$x^{2} + x = - x - 3 y$
120202	Write as a Function of y	square root of xy+1=2	$\sqrt{x y + 1} = 2$
120203	Write as a Function of h	h=-16t^2+8t+80	$h = - 16 t^{2} + 8 t + 80$
120204	Write as a Function of k	x^2-kx+196=0	$x^{2} - k x + 196 = 0$
120205	Write as a Function of t	h=-16t^2+8t+80	$h = - 16 t^{2} + 8 t + 80$
120206	Convert to Set Notation	2x^2>3-5x	$2 x^{2} > 3 - 5 x$
120207	Find the Axis of Symmetry	y=-4x^2+8	$y = - 4 x^{2} + 8$
120208	Find the x and y Intercepts	(3x^2)/(x^2-16)	$\frac{3 x^{2}}{x^{2} - 16}$
120209	Find the x and y Intercepts	(x^2+2x-24)/(x-6)	$\frac{x^{2} + 2 x - 24}{x - 6}$
120210	Find the x and y Intercepts	2x^2-20x+57	$2 x^{2} - 20 x + 57$
120211	Find the x and y Intercepts	-(x+2)^2+6	$- {(x + 2)}^{2} + 6$
120212	Find the x and y Intercepts	(x+2)(x-1)^2(x+1)^2	$(x + 2) {(x - 1)}^{2} {(x + 1)}^{2}$
120213	Find the x and y Intercepts	9cos(x)	$9 \cos (x)$
120214	Identify the Zeros and Their Multiplicities	f(x)=(x-4)^2(x-2)	$f (x) = {(x - 4)}^{2} (x - 2)$
120215	Find the Vertex	y=x^2-5x-11	$y = x^{2} - 5 x - 11$
120216	Find the Vertex	y=5-4x-x^2	$y = 5 - 4 x - x^{2}$
120217	Find the Vertex	y=x(x-3)	$y = x (x - 3)$
120218	Find the Vertex	y=2x^2+8	$y = 2 x^{2} + 8$
120219	Find the Vertex	y=2x^2+12x-17	$y = 2 x^{2} + 12 x - 17$
120220	Find the Vertex	y=2x^2+16x-3	$y = 2 x^{2} + 16 x - 3$
120221	Find the Vertex	y=0.25(x+5)^2	$y = 0.25 {(x + 5)}^{2}$
120222	Find the Vertex	y=16x-2x^2	$y = 16 x - 2 x^{2}$
120223	Find the Vertex	y=-4x^2+5	$y = - 4 x^{2} + 5$
120224	Find the Vertex	y=4x^2+2x	$y = 4 x^{2} + 2 x$
120225	Find the Vertex	y=40x-4x^2	$y = 40 x - 4 x^{2}$
120226	Find the Vertex	y=-(x+2)^2-3	$y = - {(x + 2)}^{2} - 3$
120227	Find the Vertex	y=-(x+3)^2+1	$y = - {(x + 3)}^{2} + 1$
120228	Find the Vertex	y=1/2(x-4)^2-2	$y = \frac{1}{2} {(x - 4)}^{2} - 2$
120229	Find the Vertex	y=1/2x^2+x+3	$y = \frac{1}{2} x^{2} + x + 3$
120230	Find the Vertex	y=-1/2x^2-2x-2	$y = - \frac{1}{2} x^{2} - 2 x - 2$
120231	Find the Vertex	y=-3(x-2)^2+6	$y = - 3 {(x - 2)}^{2} + 6$
120232	Find the Perfect Square Trinomial	x^2+1/2x+c	$x^{2} + \frac{1}{2} x + c$
120233	Find the Slope of a Parallel Line	2x-7y=4	$2 x - 7 y = 4$
120234	Find the Degree, Leading Term, and Leading Coefficient	2f^3+2f-8f^2+12f^4	$2 f^{3} + 2 f - 8 f^{2} + 12 f^{4}$
120235	Find the Degree	pir^2-5/7r^8+2r^5	$π r^{2} - \frac{5}{7} r^{8} + 2 r^{5}$
120236	Find the Degree	6x^3y	$6 x^{3} y$
120237	Find the Reference Angle	265	$265$
120238	Divide Using Long Polynomial Division	(x^2+6x+12)÷(x-3)	$(x^{2} + 6 x + 12) \div (x - 3)$
120239	Divide Using Long Polynomial Division	(4x^2-5x+3)/(x-2)	$\frac{(4 x^{2} - 5 x + 3)}{(x - 2)}$
120240	Divide Using Long Polynomial Division	(2x^3-3x^2-18x-8)÷(x-4)	$(2 x^{3} - 3 x^{2} - 18 x - 8) \div (x - 4)$
120241	Divide Using Long Polynomial Division	(t^3-6t^2+1)÷(t+2)	$(t^{3} - 6 t^{2} + 1) \div (t + 2)$
120242	Divide Using Long Polynomial Division	(4x^3-3x^2+x+1)÷(x+2)	$(4 x^{3} - 3 x^{2} + x + 1) \div (x + 2)$
120243	Divide Using Long Polynomial Division	(6x-6)÷(2x+3)	$(6 x - 6) \div (2 x + 3)$
120244	Divide Using Long Polynomial Division	(2x^2-15x+8)÷(x-4)	$(2 x^{2} - 15 x + 8) \div (x - 4)$
120245	Find the Maximum/Minimum Value	y=3/4x^2+6x+6	$y = \frac{3}{4} x^{2} + 6 x + 6$
120246	Expand Using the Binomial Theorem	(x-4)^8	${(x - 4)}^{8}$
120247	Expand Using the Binomial Theorem	(x^2+1)^4	${(x^{2} + 1)}^{4}$
120248	Find the Vertex	3x^2-54x+241	$3 x^{2} - 54 x + 241$
120249	Find the Vertex	(x-4)^2-5	${(x - 4)}^{2} - 5$
120250	Solve by Graphing	6x^2=48x	$6 x^{2} = 48 x$
120251	Find the Remainder	(3x^4+2x^3-x^2+2x-19)/(x+2)	$\frac{(3 x^{4} + 2 x^{3} - x^{2} + 2 x - 19)}{(x + 2)}$
120252	Find the Remainder	(x^3-6x^2-9x+3)÷(x-3)	$(x^{3} - 6 x^{2} - 9 x + 3) \div (x - 3)$
120253	Find the Domain	y = square root of 2x-7	$y = \sqrt{2 x - 7}$
120254	Write the Fraction in Simplest Form	(7/6)÷6	$\frac{7}{6} \div 6$
120255	Write the Fraction in Simplest Form	(5^-1)/(-9^0)	$\frac{5^{- 1}}{- 9^{0}}$
120256	Convert from Interval to Inequality	[5,9]	$[5, 9]$
120257	Find the Vertex Form	f(x)=2x^2+6x-8	$f (x) = 2 x^{2} + 6 x - 8$
120258	Expand the Trigonometric Expression	2x(5x+4)	$2 x (5 x + 4)$
120259	Write with Rational (Fractional) Exponents	cube root of m^2n^5	$\sqrt[3]{m^{2} n^{5}}$
120260	Convert to Trigonometric Form	-7i	$- 7 i$
120261	Find the Inverse	[[1,16],[0,8]]	$[\begin{array}{c} 1 & 16 \\ 0 & 8 \end{array}]$
120262	Find the Next Term	3/4 , 1/2 , 1/3 , 2/9	$\frac{3}{4}$ , $\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{2}{9}$
120263	Find the Slope and y-intercept	y=-9x-3	$y = - 9 x - 3$
120264	Find the Slope and y-intercept	y=5/4x+2	$y = \frac{5}{4} x + 2$
120265	Find the Slope and y-intercept	y=-6x-8	$y = - 6 x - 8$
120266	Find the Slope and y-intercept	y=7-4x	$y = 7 - 4 x$
120267	Find the Slope and y-intercept	y=5/7x	$y = \frac{5}{7} x$
120268	Find the Slope and y-intercept	y=6/7x-9	$y = \frac{6}{7} x - 9$
120269	Find the Slope and y-intercept	y=7/9x	$y = \frac{7}{9} x$
120270	Find the Slope and y-intercept	x+6y=18	$x + 6 y = 18$
120271	Find the Slope and y-intercept	x-7y=-28	$x - 7 y = - 28$
120272	Find the Slope and y-intercept	9x-3y=-3	$9 x - 3 y = - 3$
120273	Find the Slope and y-intercept	5y=-7x	$5 y = - 7 x$
120274	Find the Slope and y-intercept	6x-2y-6=0	$6 x - 2 y - 6 = 0$
120275	Find the Slope and y-intercept	-6x-3y=4	$- 6 x - 3 y = 4$
120276	Find the Slope and y-intercept	-6x-5y=20	$- 6 x - 5 y = 20$
120277	Find the Slope and y-intercept	6x-8y=-8	$6 x - 8 y = - 8$
120278	Find the Slope and y-intercept	-4x+5y=-10	$- 4 x + 5 y = - 10$
120279	Find the Slope and y-intercept	5x-3y=7	$5 x - 3 y = 7$
120280	Find the Slope and y-intercept	-5x-4y=20	$- 5 x - 4 y = 20$
120281	Find the Slope and y-intercept	3x-y=-7	$3 x - y = - 7$
120282	Find the Slope and y-intercept	2y=x	$2 y = x$
120283	Find the Slope and y-intercept	x/2+y/4=1	$\frac{x}{2} + \frac{y}{4} = 1$
120284	Find the Slope and y-intercept	y=4x-11	$y = 4 x - 11$
120285	Find the Slope and y-intercept	x+6y=36	$x + 6 y = 36$
120286	Find the Slope and y-intercept	7x+4y=16	$7 x + 4 y = 16$
120287	Find the Slope and y-intercept	2.5x-y=5	$2.5 x - y = 5$
120288	Convert to Set Notation	0<3-1/2x<7	$0 < 3 - \frac{1}{2} x < 7$
120289	Find the Value Using the Unit Circle	tan(300)	$\tan (300)$
120290	Find the Slope of a Perpendicular Line	m=6/7	$m = \frac{6}{7}$
120291	Find the End Behavior	f(x)=-3x^5+9x^4+5x^3+3	$f (x) = - 3 x^{5} + 9 x^{4} + 5 x^{3} + 3$
120292	Solve the Matrix Equation	[[3,7],[2,5]][[x],[y]]=[[14],[10]]	$[\begin{array}{c} 3 & 7 \\ 2 & 5 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 14 \\ 10 \end{array}]$
120293	Solve the Matrix Equation	[[x+2,-2],[y-1,x+1]]=[[8,-2],[2y+5,7]]	$[\begin{array}{c} x + 2 & - 2 \\ y - 1 & x + 1 \end{array}] = [\begin{array}{c} 8 & - 2 \\ 2 y + 5 & 7 \end{array}]$
120294	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-9x^2-9x+81	$f (x) = x^{3} - 9 x^{2} - 9 x + 81$
120295	Solve Using the Square Root Property	(3x+2)^2=16	${(3 x + 2)}^{2} = 16$
120296	Solve Using the Square Root Property	x^2-2x+1=45	$x^{2} - 2 x + 1 = 45$
120297	Solve Using the Square Root Property	(x+7)^2=-64	${(x + 7)}^{2} = - 64$
120298	Solve Using the Square Root Property	(5y+2)^2-96=0	${(5 y + 2)}^{2} - 96 = 0$
120299	Solve Using the Square Root Property	(3x+5)^2=7	${(3 x + 5)}^{2} = 7$
120300	Solve Using the Square Root Property	(x-7)^2=-5	${(x - 7)}^{2} = - 5$