Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
129801	Find the Vertex Form	2x^2+6x-8	$2 x^{2} + 6 x - 8$
129802	Evaluate Using the Given Value	7e-4=31	$7 e - 4 = 31$
129803	Solve by Graphing	y=4x+4 , y=6x	$y = 4 x + 4$ , $y = 6 x$
129804	Solve for f	2=f/8	$2 = \frac{f}{8}$
129805	Solve for s	s^2+11s+30=0	$s^{2} + 11 s + 30 = 0$
129806	Expand Using the Binomial Theorem	(2x+1)^8	${(2 x + 1)}^{8}$
129807	Expand Using the Binomial Theorem	(3+2x)^4	${(3 + 2 x)}^{4}$
129808	Find Amplitude, Period, and Phase Shift	y=-3cos(x/8)	$y = - 3 \cos (\frac{x}{8})$
129809	Expand Using the Binomial Theorem	(2x+4)^5	${(2 x + 4)}^{5}$
129810	Find the Maximum/Minimum Value	y=x^2-4x+1	$y = x^{2} - 4 x + 1$
129811	Find the Slope	y=3x-13	$y = 3 x - 13$
129812	Convert to Scientific Notation	(4.210^8)+(5.910^9)	$(4.2 \cdot 10^{8}) + (5.9 \cdot 10^{9})$
129813	Find the Determinant	[[0,x,x],[x,x^2,2],[x,5,-3]]	$[\begin{array}{c} 0 & x & x \\ x & x^{2} & 2 \\ x & 5 & - 3 \end{array}]$
129814	Solve for s	s^2+9s+18=0	$s^{2} + 9 s + 18 = 0$
129815	Solve for f	f-4=6f+26	$f - 4 = 6 f + 26$
129816	Convert to an Improper Fraction	8 1/3	$8 \frac{1}{3}$
129817	Divide Using Synthetic Division	(x^3+4x^2+8x+5)/(x+1)	$\frac{x^{3} + 4 x^{2} + 8 x + 5}{x + 1}$
129818	Find the Discriminant	x^2+2x-8=0	$x^{2} + 2 x - 8 = 0$
129819	Evaluate Using the Given Value	7(2e-1)-3=6+6e	$7 (2 e - 1) - 3 = 6 + 6 e$
129820	Identify the Sequence	37 , 74 , 111 , 148	$37$ , $74$ , $111$ , $148$
129821	Find the Mode	79 , 81 , 67 , 69 , 72 , 65 , 83 , 72 , 71 , 66 , 71 , 76 , 78 , 87 , 73	$79$ , $81$ , $67$ , $69$ , $72$ , $65$ , $83$ , $72$ , $71$ , $66$ , $71$ , $76$ , $78$ , $87$ , $73$
129822	Find Where Undefined/Discontinuous	(20+40x)/(20x)	$\frac{20 + 40 x}{20 x}$
129823	Convert to Scientific Notation	1/100000000	$\frac{1}{100000000}$
129824	Convert to Scientific Notation	(9.710^6)+(6.710^5)	$(9.7 \cdot 10^{6}) + (6.7 \cdot 10^{5})$
129825	Solve for q	q+9/q=-10	$q + \frac{9}{q} = - 10$
129826	Divide Using Long Polynomial Division	(x^3-27)/(x-3)	$\frac{x^{3} - 27}{x - 3}$
129827	Divide Using Synthetic Division	(2x^3+3x^2+4x-10)÷(x+1)	$(2 x^{3} + 3 x^{2} + 4 x - 10) \div (x + 1)$
129828	Identify the Zeros and Their Multiplicities	f(x)=x^3+6x^2-9x-54	$f (x) = x^{3} + 6 x^{2} - 9 x - 54$
129829	Use the Rational Roots Test to Find All Possible Roots	x^3-6x^2+11x-6=0	$x^{3} - 6 x^{2} + 11 x - 6 = 0$
129830	Factor by Grouping	x^3+6x^2+4x+24	$x^{3} + 6 x^{2} + 4 x + 24$
129831	Factor by Grouping	30x^3-42x^2+5x-7	$30 x^{3} - 42 x^{2} + 5 x - 7$
129832	Expand Using the Binomial Theorem	(x+4)^8	${(x + 4)}^{8}$
129833	Find the Slope	(2,15) , (0,-1)	$(2, 15) (0, - 1)$
129834	Convert to Scientific Notation	(6.510^8)(1.4*10^-5)	$(6.5 \cdot 10^{8}) \cdot (1.4 \cdot 10^{- 5})$
129835	Convert to an Improper Fraction	7 2/3	$7 \frac{2}{3}$
129836	Solve for q	4q^2+3q=3q^2-4q+18	$4 q^{2} + 3 q = 3 q^{2} - 4 q + 18$
129837	Solve for L	1.5=2pi square root of L/384	$1.5 = 2 π \sqrt{\frac{L}{384}}$
129838	Find the Discriminant	2x^2+x+3=0	$2 x^{2} + x + 3 = 0$
129839	Find the Roots/Zeros Using the Rational Roots Test	6X^3-47x^2+36x-7=0	$6 X^{3} - 47 x^{2} + 36 x - 7 = 0$
129840	Apply the Quadratic Formula	-16t^2+64t+80	$- 16 t^{2} + 64 t + 80$
129841	Find the Slope	(1,-2) , (3,6)	$(1, - 2)$ , $(3, 6)$
129842	Expand Using the Binomial Theorem	(x+y)^n	${(x + y)}^{n}$
129843	Solve for a1	a_1=3	$a_{1} = 3$
129844	Convert to an Improper Fraction	1 4/5	$1 \frac{4}{5}$
129845	Convert to an Improper Fraction	3 1/8	$3 \frac{1}{8}$
129846	Find Where Undefined/Discontinuous	(x^2+3x+2)/(x^2-4x-12)	$\frac{x^{2} + 3 x + 2}{x^{2} - 4 x - 12}$
129847	Factor by Grouping	x^2+25	$x^{2} + 25$
129848	Find the Discriminant	2x^2+4x-9	$2 x^{2} + 4 x - 9$
129849	Find the Discriminant	3x^2+x+2=0	$3 x^{2} + x + 2 = 0$
129850	Find the Discriminant	x^2-4x+5=0	$x^{2} - 4 x + 5 = 0$
129851	Divide Using Synthetic Division	(4x^2-13x+8)/(x+5)	$\frac{4 x^{2} - 13 x + 8}{x + 5}$
129852	Identify the Zeros and Their Multiplicities	x^4-4x^3+3x^2	$x^{4} - 4 x^{3} + 3 x^{2}$
129853	Find the Domain	y=(20-4x)/(x^2-9x+20)	$y = \frac{20 - 4 x}{x^{2} - 9 x + 20}$
129854	Convert to Regular Notation	5.9*10^10	$5.9 \cdot 10^{10}$
129855	Find the Slope of a Perpendicular Line	y=2x-4	$y = 2 x - 4$
129856	Expand Using Pascal's Triangle	(2x+3)^3	${(2 x + 3)}^{3}$
129857	Find the Slope	y=7x-4	$y = 7 x - 4$
129858	Find the Slope	y=-1/5x-4	$y = - \frac{1}{5} x - 4$
129859	Find the Vertex Form	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
129860	Solve for F	5/9(F-32)=25	$\frac{5}{9} (F - 32) = 25$
129861	Use the Factor Theorem to Determine if x=-4 is a Factor	f(x)=x^2-5x+4 , x=-4	$f (x) = x^{2} - 5 x + 4$ , $x = - 4$
129862	Divide Using Synthetic Division	(x^3+5x^2+3x-10)/(x+4)	$\frac{x^{3} + 5 x^{2} + 3 x - 10}{x + 4}$
129863	Find the Discriminant	x^2-4x-7=0	$x^{2} - 4 x - 7 = 0$
129864	Find the Discriminant	2x^2-12x+18=0	$2 x^{2} - 12 x + 18 = 0$
129865	Convert to an Improper Fraction	6 1/4	$6 \frac{1}{4}$
129866	Plot	x<-2	$x < - 2$
129867	Apply the Quadratic Formula	x^2+6x+18	$x^{2} + 6 x + 18$
129868	Combine	m^2-3n^2-m^2n-2mn^2+3n^2-2m^2	$m^{2} - 3 n^{2} - m^{2} n - 2 m n^{2} + 3 n^{2} - 2 m^{2}$
129869	Convert to Scientific Notation	(7.210^-6)+(5.4410^-6)	$(7.2 \cdot 10^{- 6}) + (5.44 \cdot 10^{- 6})$
129870	Convert to Scientific Notation	0.025	$0.025$
129871	Convert to Scientific Notation	5.110^-4+810^-3	$5.1 \cdot 10^{- 4} + 8 \cdot 10^{- 3}$
129872	Convert to Scientific Notation	8100	$8100$
129873	Find the Slope	Ax+By=C	$A x + B y = C$
129874	Solve for f	(k-g)/(f-7)=h	$\frac{k - g}{f - 7} = h$
129875	Solve for l	p=2(l+b)	$p = 2 (l + b)$
129876	Divide Using Synthetic Division	(6x^3+x^2-3)÷(x-7)	$(6 x^{3} + x^{2} - 3) \div (x - 7)$
129877	Find the Median	17 , 23 , 8 , 5 , 9 , 16 , 22 , 11 , 13 , 15 , 17 , 18	$17$ , $23$ , $8$ , $5$ , $9$ , $16$ , $22$ , $11$ , $13$ , $15$ , $17$ , $18$
129878	Find the Quadratic Equation	7i , -7i	$7 i$ , $- 7 i$
129879	Find the Domain	y=(6-2x)/(x^2-5x+6)	$y = \frac{6 - 2 x}{x^{2} - 5 x + 6}$
129880	Find the Slope of a Perpendicular Line	y=2x-5	$y = 2 x - 5$
129881	Plot	x>4	$x > 4$
129882	Find the Roots/Zeros Using the Rational Roots Test	8x^3-62x^2+43x-7=0	$8 x^{3} - 62 x^{2} + 43 x - 7 = 0$
129883	Expand Using Pascal's Triangle	(x-2)^4	${(x - 2)}^{4}$
129884	Expand Using Pascal's Triangle	(1/2x-y)^4	${(\frac{1}{2} x - y)}^{4}$
129885	Apply the Quadratic Formula	2x^2-8x-90	$2 x^{2} - 8 x - 90$
129886	Find the Vertex Form	f(x)=x^2-6x+8	$f (x) = x^{2} - 6 x + 8$
129887	Find the Constant of Variation	y=x/2	$y = \frac{x}{2}$
129888	Find the Slope	(-2,5) , (3,9)	$(- 2, 5) (3, 9)$
129889	Find the Slope	(5,4) , (-9,7)	$(5, 4)$ , $(- 9, 7)$
129890	Expand Using the Binomial Theorem	(x-3y)^8	${(x - 3 y)}^{8}$
129891	Expand Using the Binomial Theorem	(2x-1)^12	${(2 x - 1)}^{12}$
129892	Expand Using the Binomial Theorem	(3-2x)^6	${(3 - 2 x)}^{6}$
129893	Expand Using the Binomial Theorem	(4x+2)^4	${(4 x + 2)}^{4}$
129894	Expand Using the Binomial Theorem	(2x+y^2)^4	${(2 x + y^{2})}^{4}$
129895	Expand Using the Binomial Theorem	(2x-1)^10	${(2 x - 1)}^{10}$
129896	Factor by Grouping	3yz^2-4y^2z+6y^3-2z^3	$3 y z^{2} - 4 y^{2} z + 6 y^{3} - 2 z^{3}$
129897	Determine if Injective (One to One)	f(x)=x^2-1	$f (x) = x^{2} - 1$
129898	Find Where Undefined/Discontinuous	(q^2+11q+24)/(q^2-5q-24)	$\frac{q^{2} + 11 q + 24}{q^{2} - 5 q - 24}$
129899	Write with Rational (Fractional) Exponents	cube root of 27x^2y^3z^4	$\sqrt[3]{27 x^{2} y^{3} z^{4}}$
129900	Determine the Type of Number	- square root of 16	$- \sqrt{16}$