Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
49701	Graph	log base 3 of x+1	$\log_{3} (x + 1)$
49702	Graph	log base 3 of x+3	$\log_{3} (x + 3)$
49703	Determine if True	0.0093>0.01	$0.0093 > 0.01$
49704	Determine if True	-0.5<=2.5	$- 0.5 \leq 2.5$
49705	Find Where Increasing/Decreasing	f(x)=-x^2+4x	$f (x) = - x^{2} + 4 x$
49706	Determine the Type of Number	square root of 121	$\sqrt{121}$
49707	Find the Axis of Symmetry	f(x)=(x-1)^2-4	$f (x) = {(x - 1)}^{2} - 4$
49708	Find the Axis of Symmetry	x^2+4x+3	$x^{2} + 4 x + 3$
49709	Complete the Square	x^2-4/5x	$x^{2} - \frac{4}{5} x$
49710	Complete the Square	x^2+4x-3	$x^{2} + 4 x - 3$
49711	Determine if True	0=4	$0 = 4$
49712	Complete the Square	x^2+4x+4	$x^{2} + 4 x + 4$
49713	Determine if True	0=7(2)+9	$0 = 7 (2) + 9$
49714	Find the Axis of Symmetry	f(x)=9-(x-4)^2	$f (x) = 9 - {(x - 4)}^{2}$
49715	Find the Axis of Symmetry	f(x)=x^2-9	$f (x) = x^{2} - 9$
49716	Write in Standard Form	(x+2)^2	${(x + 2)}^{2}$
49717	Apply the Quadratic Formula	x^2-4x-3	$x^{2} - 4 x - 3$
49718	Apply the Quadratic Formula	x^2-9	$x^{2} - 9$
49719	Apply the Quadratic Formula	x^2-2x-6	$x^{2} - 2 x - 6$
49720	Add	(3x-2)/(x+2)+(2x)/(4x-1)	$\frac{3 x - 2}{x + 2} + \frac{2 x}{4 x - 1}$
49721	Determine if True	11.949>12.000	$11.949 > 12$
49722	Add	1/(x+1)+1/(x-1)	$\frac{1}{x + 1} + \frac{1}{x - 1}$
49723	Add	(4x-5)/(12x+4)+(3x-1)/(3x+1)	$\frac{4 x - 5}{12 x + 4} + \frac{3 x - 1}{3 x + 1}$
49724	Add	5/x+2/(3x^2)	$\frac{5}{x} + \frac{2}{3 x^{2}}$
49725	Determine if True	-14(0)+2(-3)=-6	$- 14 (0) + 2 (- 3) = - 6$
49726	Add	(5x)/(4x^2)+7/(x+1)	$\frac{5 x}{4 x^{2}} + \frac{7}{x + 1}$
49727	Find the Exponential Function	(0,5)	$(0, 5)$
49728	Determine if True	-18(3)+2(-5)=8	$- 18 (3) + 2 (- 5) = 8$
49729	Factor	f(x)=x^4-2x^3-12x^2+40x-32	$f (x) = x^{4} - 2 x^{3} - 12 x^{2} + 40 x - 32$
49730	Determine if True	19<=1-64	$19 \leq 1 - 64$
49731	Simplify	(xy)^8	${(x y)}^{8}$
49732	Subtract	(-6x^2+x-3)/(x^2+9)-(-2x-4)/(x^2+9)	$\frac{- 6 x^{2} + x - 3}{x^{2} + 9} - \frac{- 2 x - 4}{x^{2} + 9}$
49733	Subtract	7/(4z^3y)-1/(14z^2y)	$\frac{7}{4 z^{3} y} - \frac{1}{14 z^{2} y}$
49734	Subtract	(6x-1)/(x^2-25)-(7x-6)/(x^2-25)	$\frac{6 x - 1}{x^{2} - 25} - \frac{7 x - 6}{x^{2} - 25}$
49735	Subtract	7/x-6/(x+1)	$\frac{7}{x} - \frac{6}{x + 1}$
49736	Subtract	5/(2x-12)-20/(x^2-4x-12)	$\frac{5}{2 x - 12} - \frac{20}{x^{2} - 4 x - 12}$
49737	Simplify	(x^2-16)/(2x+8)*(x^3-2x^2+x)/(x^2+3x-4)	$\frac{x^{2} - 16}{2 x + 8} \cdot \frac{x^{3} - 2 x^{2} + x}{x^{2} + 3 x - 4}$
49738	Determine if True	2(2)-3*0=-8	$2 (2) - 3 \cdot 0 = - 8$
49739	Subtract	x/(x^2+11x+30)-5/(x^2+9x+20)	$\frac{x}{x^{2} + 11 x + 30} - \frac{5}{x^{2} + 9 x + 20}$
49740	Subtract	x/(5x-8)-(x+4)/(6x)	$\frac{x}{5 x - 8} - \frac{x + 4}{6 x}$
49741	Multiply	(8y-4)/(10y-5)*(5y-15)/(3y-9)	$\frac{8 y - 4}{10 y - 5} \cdot \frac{5 y - 15}{3 y - 9}$
49742	Determine if True	fourth root of 1296=6	$\sqrt[4]{1296} = 6$
49743	Determine if True	-2.5<-1.9	$- 2.5 < - 1.9$
49744	Solve by Graphing	x^2-9=0	$x^{2} - 9 = 0$
49745	Simplify	(x^(4/5))^5	${(x^{\frac{4}{5}})}^{5}$
49746	Simplify	(a^2+2a+1)(a+1)	$(a^{2} + 2 a + 1) (a + 1)$
49747	Determine if True	2>=15/5-1	$2 \geq \frac{15}{5} - 1$
49748	Multiply	(x^4)(3x^3-2)(4x^2+5x)	$(x^{4}) (3 x^{3} - 2) (4 x^{2} + 5 x)$
49749	Solve Using the Quadratic Formula	15x^2+23x-41=0	$15 x^{2} + 23 x - 41 = 0$
49750	Calculate the Square Root	square root of 356	$\sqrt{356}$
49751	Determine if True	2>1	$2 > 1$
49752	Solve for x	4(x+2)=48	$4 (x + 2) = 48$
49753	Solve for x	4\|x+3\|>=8	$4 \| x + 3 \| \geq 8$
49754	Graph	y-2x=3	$y - 2 x = 3$
49755	Simplify	(-2+3i square root of 2)(5-4i square root of 2)	$(- 2 + 3 i \sqrt{2}) (5 - 4 i \sqrt{2})$
49756	Solve Using the Quadratic Formula	9x^2-21=0	$9 x^{2} - 21 = 0$
49757	Solve for x	log of x+ log of x+1 = log of x^2+2	$\log (x) + \log (x + 1) = \log (x^{2} + 2)$
49758	Solve for a	1/(3a^2)-1/a=1/(6a^2)	$\frac{1}{3 a^{2}} - \frac{1}{a} = \frac{1}{6 a^{2}}$
49759	Solve for s	7=1/6s+11	$7 = \frac{1}{6} s + 11$
49760	Simplify	( square root of -700)/( square root of -100)	$\frac{\sqrt{- 700}}{\sqrt{- 100}}$
49761	Solve for x	square root of x<12	$\sqrt{x} < 12$
49762	Determine if True	3(-7)+9(3)>-18	$3 (- 7) + 9 (3) > - 18$
49763	Solve Using the Quadratic Formula	-10x^2+12x-9=0	$- 10 x^{2} + 12 x - 9 = 0$
49764	Graph	y=3x^2+7x+2	$y = 3 x^{2} + 7 x + 2$
49765	Solve for a	1/a-5/(3a)=1/3	$\frac{1}{a} - \frac{5}{3 a} = \frac{1}{3}$
49766	Solve for y	square root of 2y-1-3=0	$\sqrt{2 y - 1} - 3 = 0$
49767	Simplify	(4a+x)(a-x)	$(4 a + x) (a - x)$
49768	Simplify	a^5(3b^9)(6a)	$a^{5} \cdot (3 b^{9}) \cdot (6 a)$
49769	Factor	14x^2-39x-35	$14 x^{2} - 39 x - 35$
49770	Determine if True	3<8	$3 < 8$
49771	Graph	x-4y=-4	$x - 4 y = - 4$
49772	Graph	x=9	$x = 9$
49773	Graph	y=-1/3x-1	$y = - \frac{1}{3} x - 1$
49774	Graph	y=x^3-4x	$y = x^{3} - 4 x$
49775	Graph	-6x+5y>=-30	$- 6 x + 5 y \geq - 30$
49776	Graph	x=-2y^2	$x = - 2 y^{2}$
49777	Graph	y=x^2-16	$y = x^{2} - 16$
49778	Determine if True	4(6)+8(-4)<-8	$4 (6) + 8 (- 4) < - 8$
49779	Find the Inverse	f(x)=3x	$f (x) = 3 x$
49780	Solve for x	13-3/2x=37	$13 - \frac{3}{2} x = 37$
49781	Determine if True	4.9+4.4=19.1	$4.9 + 4.4 = 19.1$
49782	Solve for x	10(x-3)=5(3x-8)	$10 (x - 3) = 5 (3 x - 8)$
49783	Solve for x	-10+x+4-5=7x-5	$- 10 + x + 4 - 5 = 7 x - 5$
49784	Solve for x	1.2x+4.3=2.1-x	$1.2 x + 4.3 = 2.1 - x$
49785	Determine if True	4<6	$4 < 6$
49786	Solve for x	16x-15-9x=13	$16 x - 15 - 9 x = 13$
49787	Solve for x	2(x-3)+5=3(x-1)	$2 (x - 3) + 5 = 3 (x - 1)$
49788	Solve for x	2(x-3)-17=13-3(x+2)	$2 (x - 3) - 17 = 13 - 3 (x + 2)$
49789	Determine if True	4>6	$4 > 6$
49790	Solve for x	x^2+y^2=16	$x^{2} + y^{2} = 16$
49791	Solve for x	x^2+9x=0	$x^{2} + 9 x = 0$
49792	Add	(8b)/(b^2-4b+4)+6/(b^2-1b-2)	$\frac{8 b}{b^{2} - 4 b + 4} + \frac{6}{b^{2} - 1 b - 2}$
49793	Solve for x	x^-2+7x^-1+12=0	$x^{- 2} + 7 x^{- 1} + 12 = 0$
49794	Determine if True	5(-1)-8*3=-29	$5 (- 1) - 8 \cdot 3 = - 29$
49795	Graph	6y=(x+2)^2-6	$6 y = {(x + 2)}^{2} - 6$
49796	Solve for x	x/a+b=c	$\frac{x}{a} + b = c$
49797	Solve for x	x/a-1=y/b	$\frac{x}{a} - 1 = \frac{y}{b}$
49798	Determine if True	-5(7)+4(0)=2	$- 5 (7) + 4 (0) = 2$
49799	Solve for x	x^(3/4)=8	$x^{\frac{3}{4}} = 8$
49800	Solve for x	x/5=2	$\frac{x}{5} = 2$