Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
121501	Complete the Square	x^2-bx+100	$x^{2} - b x + 100$
121502	Find the Slope and y-intercept	q(x)=4x-(3+9x)/2	$q (x) = 4 x - \frac{(3 + 9 x)}{2}$
121503	Find the Slope and y-intercept	f(x)=-2/5x+3	$f (x) = - \frac{2}{5} x + 3$
121504	Expand Using the Binomial Theorem	(q+r)^4	${(q + r)}^{4}$
121505	Expand Using the Binomial Theorem	(3x+1)^6	${(3 x + 1)}^{6}$
121506	Expand Using the Binomial Theorem	(x+h)^5	${(x + h)}^{5}$
121507	Convert to Rectangular	r=2cos(theta)	$r = 2 \cos (θ)$
121508	Find the Maximum/Minimum Value	y=-3x(x-3)	$y = - 3 x (x - 3)$
121509	Find the Maximum/Minimum Value	y=48t-16t^2	$y = 48 t - 16 t^{2}$
121510	Find the Intersection of the Functions	f(x)=5x^2+7 , f(x)=8-3x	$f (x) = 5 x^{2} + 7$ , $f (x) = 8 - 3 x$
121511	Find the Intersection of the Functions	f(x)=5x^2 , f(x)=x-6	$f (x) = 5 x^{2}$ , $f (x) = x - 6$
121512	Find the Vertex Form	y=x^2-18x+52	$y = x^{2} - 18 x + 52$
121513	Find the Vertex Form	y=4x^2+24x+24	$y = 4 x^{2} + 24 x + 24$
121514	Find the Vertex Form	y=x^2-10x+29	$y = x^{2} - 10 x + 29$
121515	Find the Axis of Symmetry	y=4x^2+8x-1	$y = 4 x^{2} + 8 x - 1$
121516	Find the Axis of Symmetry	y=4x^2-24x-31	$y = 4 x^{2} - 24 x - 31$
121517	Find the Axis of Symmetry	y=2x^2-4x+18	$y = 2 x^{2} - 4 x + 18$
121518	Find the Axis of Symmetry	y=2x^2-2x-5	$y = 2 x^{2} - 2 x - 5$
121519	Find the Axis of Symmetry	y=3x^2-x+2	$y = 3 x^{2} - x + 2$
121520	Find the Axis of Symmetry	y=-1.5(x+20)^2	$y = - 1.5 {(x + 20)}^{2}$
121521	Write as a Function of x	x=y^8	$x = y^{8}$
121522	Write as a Function of x	-5x^2-6y=x-4y	$- 5 x^{2} - 6 y = x - 4 y$
121523	Write as a Function of x	-6x+y=-x-2y	$- 6 x + y = - x - 2 y$
121524	Write as a Function of x	y=a(x-3)^2-1	$y = a {(x - 3)}^{2} - 1$
121525	Write as a Function of x	y=6x^2-5x+8	$y = 6 x^{2} - 5 x + 8$
121526	Write as a Function of x	F^-1(x)=(x+4)/11	$F^{- 1} (x) = \frac{x + 4}{11}$
121527	Write as a Function of y	(3x-2y)/5=-4	$\frac{3 x - 2 y}{5} = - 4$
121528	Write as a Function of y	(x-3y)/4=2	$\frac{x - 3 y}{4} = 2$
121529	Write as a Function of y	y^2=4x+9	$y^{2} = 4 x + 9$
121530	Write as a Function of y	-5x^2-6y=x-4y	$- 5 x^{2} - 6 y = x - 4 y$
121531	Write as a Function of f	f^-1(x)=(x+4)/11	$f^{- 1} (x) = \frac{x + 4}{11}$
121532	Evaluate Using Scientific Notation	(1.88*10^6)/2000	$\frac{1.88 \cdot 10^{6}}{2000}$
121533	Evaluate Using Scientific Notation	(4.810^4)(610^6)	$(4.8 \cdot 10^{4}) (6 \cdot 10^{6})$
121534	Evaluate Using the Given Value	f(3)=(1/4)^3	$f (3) = {(\frac{1}{4})}^{3}$
121535	Evaluate Using the Given Value	f(2)=500e(0.05)^2	$f (2) = 500 e {(0.05)}^{2}$
121536	Evaluate Using the Given Value	f(3) = square root of 3-3	$f (3) = \sqrt{3 - 3}$
121537	Evaluate Using the Given Value	f(-3)=0.5^-3	$f (- 3) = {0.5}^{- 3}$
121538	Evaluate Using the Given Value	(3x+2y+z)/(x+y+z) , x=2 , y=3 , z=1	$\frac{3 x + 2 y + z}{x + y + z}$ , $x = 2$ , $y = 3$ , $z = 1$
121539	Find the Perfect Square Trinomial	t^2+11t	$t^{2} + 11 t$
121540	Identify the Zeros and Their Multiplicities	x^3-9x^2+20x	$x^{3} - 9 x^{2} + 20 x$
121541	Identify the Zeros and Their Multiplicities	x^2(x-2)^3(x+3)	$x^{2} {(x - 2)}^{3} (x + 3)$
121542	Identify the Zeros and Their Multiplicities	f(x)=-5(x-2)(x^2-4)^2	$f (x) = - 5 (x - 2) {(x^{2} - 4)}^{2}$
121543	Identify the Zeros and Their Multiplicities	f(x)=3x^3-x^2-147x+49	$f (x) = 3 x^{3} - x^{2} - 147 x + 49$
121544	Identify the Zeros and Their Multiplicities	p(x)=x^5-9x^3	$p (x) = x^{5} - 9 x^{3}$
121545	Find the Trig Value	csc(x)=1	$\csc (x) = 1$
121546	Find the Slope of a Perpendicular Line	-3x-2y=2	$- 3 x - 2 y = 2$
121547	Find the Focus	y=1/32x^2	$y = \frac{1}{32} x^{2}$
121548	Expand the Trigonometric Expression	4x(2x-3y)	$4 x (2 x - 3 y)$
121549	Expand the Trigonometric Expression	(x-y^4)^5	${(x - y^{4})}^{5}$
121550	Expand the Trigonometric Expression	(3y-1)^4	${(3 y - 1)}^{4}$
121551	Expand the Trigonometric Expression	(4a-1)^3	${(4 a - 1)}^{3}$
121552	Expand the Trigonometric Expression	(4x+1)(2x^2-2)	$(4 x + 1) (2 x^{2} - 2)$
121553	Write with Rational (Fractional) Exponents	fourth root of 5x	$\sqrt[4]{5 x}$
121554	Write with Rational (Fractional) Exponents	square root of 3ab	$\sqrt{3 a b}$
121555	Write with Rational (Fractional) Exponents	fourth root of (5ab)^3	$\sqrt[4]{{(5 a b)}^{3}}$
121556	Find the Vertex Form	g(x)=8x^2-14x+3	$g (x) = 8 x^{2} - 14 x + 3$
121557	Find the Vertex Form	f(x)=x^2+8-16x	$f (x) = x^{2} + 8 - 16 x$
121558	Find the Degree, Leading Term, and Leading Coefficient	6x^2+7x^3+8x^5+9	$6 x^{2} + 7 x^{3} + 8 x^{5} + 9$
121559	Find the Degree, Leading Term, and Leading Coefficient	2p^2q-3pq	$2 p^{2} q - 3 p q$
121560	Find the Degree, Leading Term, and Leading Coefficient	13b^3-9b+3b^5-18	$13 b^{3} - 9 b + 3 b^{5} - 18$
121561	Rationalize the Denominator	5/(2- square root of 5)	$\frac{5}{2 - \sqrt{5}}$
121562	Rationalize the Denominator	1/(4 square root of 3)	$\frac{1}{4 \sqrt{3}}$
121563	Rationalize the Denominator	( square root of 5)/(2+ square root of 3)	$\frac{\sqrt{5}}{2 + \sqrt{3}}$
121564	Rationalize the Denominator	2/(7- square root of 5)	$\frac{2}{7 - \sqrt{5}}$
121565	Find the Symmetry	xy^2-5=0	$x y^{2} - 5 = 0$
121566	Find the Symmetry	xy^2-6=0	$x y^{2} - 6 = 0$
121567	Find the Symmetry	y=-\|3x\|	$y = - \| 3 x \|$
121568	Find the Symmetry	y=\|16x\|	$y = \| 16 x \|$
121569	Find the Symmetry	y=\|x/3\|	$y = \| \frac{x}{3} \|$
121570	Find the Inverse	g^-1(2)	$g^{- 1} (2)$
121571	Find the Inverse	7x^2-11	$7 x^{2} - 11$
121572	Find the Inverse	square root of x+9	$\sqrt{x} + 9$
121573	Find the Inverse	square root of 2+7x	$\sqrt{2 + 7 x}$
121574	Find the Inverse	3x^3-4	$3 x^{3} - 4$
121575	Find the Inverse	1/4x+5	$\frac{1}{4} x + 5$
121576	Find the Inverse	cube root of 2x-3	$\sqrt[3]{2 x - 3}$
121577	Find the Inverse	(6x)/(7x-3)	$\frac{6 x}{7 x - 3}$
121578	Find the Inverse	(7x+18)/2	$\frac{7 x + 18}{2}$
121579	Find the Inverse	14/x	$\frac{14}{x}$
121580	Find the Inverse	(4x)/(x+7)	$\frac{4 x}{x + 7}$
121581	Determine if Odd, Even, or Neither	2x^4+3	$2 x^{4} + 3$
121582	Find dy/dx	xy^9-y=x	$x y^{9} - y = x$
121583	Find dy/dx	y=(4x^2-13)^-14	$y = {(4 x^{2} - 13)}^{- 14}$
121584	Find dy/dx	x^2y-y^2=8	$x^{2} y - y^{2} = 8$
121585	Find dy/dx	tan(x-y)=y/(7+x^2)	$\tan (x - y) = \frac{y}{7 + x^{2}}$
121586	Find dy/dx	x^2y-e^y-2=0	$x^{2} y - e^{y} - 2 = 0$
121587	Find dy/dx	x^2y-y^2=1	$x^{2} y - y^{2} = 1$
121588	Find dy/dx	natural log of x+2y=x^4	$\ln (x + 2 y) = x^{4}$
121589	Find dy/dx	x^2y-y^2=5	$x^{2} y - y^{2} = 5$
121590	Find dx/dy	y=(4x^2-13)^-14	$y = {(4 x^{2} - 13)}^{- 14}$
121591	Find dx/dy	x^2+xy-y^2=1	$x^{2} + x y - y^{2} = 1$
121592	Find dx/dy	x^2y-y^2=1	$x^{2} y - y^{2} = 1$
121593	Find dx/dy	x^2y-e^y-2=0	$x^{2} y - e^{y} - 2 = 0$
121594	Find the Value Using the Unit Circle	csc(240)	$\csc (240)$
121595	Find Three Ordered Pair Solutions	y=-1/18(x-3)(x-8)	$y = - \frac{1}{18} (x - 3) (x - 8)$
121596	Find Three Ordered Pair Solutions	y=-1/14(x-3)(x-8)	$y = - \frac{1}{14} (x - 3) (x - 8)$
121597	Find Three Ordered Pair Solutions	y=-6x-9	$y = - 6 x - 9$
121598	Find Where Increasing/Decreasing	f(x)=3x^2+18x-9	$f (x) = 3 x^{2} + 18 x - 9$
121599	Find Where Increasing/Decreasing	f(x)=-8x^2-24x+3	$f (x) = - 8 x^{2} - 24 x + 3$
121600	Write as a Set of Linear Factors	x^3-7x^2+8x+16	$x^{3} - 7 x^{2} + 8 x + 16$