Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118501	Write with Rational (Fractional) Exponents	fourth root of 153	$\sqrt[4]{153}$
118502	Write with Rational (Fractional) Exponents	( fifth root of 8)^4	${(\sqrt[5]{8})}^{4}$
118503	Determine if True	7=5(1)+2	$7 = 5 (1) + 2$
118504	Determine if True	12^2+35^2=37^2	$12^{2} + 35^{2} = 37^{2}$
118505	Determine if True	0>=0	$0 \geq 0$
118506	Solve by Completing the Square	x^2+7x-45=7	$x^{2} + 7 x - 45 = 7$
118507	Solve by Completing the Square	x^2+10x+14=-7	$x^{2} + 10 x + 14 = - 7$
118508	Solve by Completing the Square	5n^2-2n-10=15	$5 n^{2} - 2 n - 10 = 15$
118509	Solve by Completing the Square	4z^2+11z-3=0	$4 z^{2} + 11 z - 3 = 0$
118510	Solve by Completing the Square	5x^2+x-1/2=0	$5 x^{2} + x - \frac{1}{2} = 0$
118511	Solve by Completing the Square	3x^2-12x=9	$3 x^{2} - 12 x = 9$
118512	Find the Constant of Variation	2y=x	$2 y = x$
118513	Find the LCD	2/(3a+9) , 5/(5a-15)	$\frac{2}{3 a + 9}$ , $\frac{5}{5 a - 15}$
118514	Find the End Behavior	f(x)=3^(x-2)-7	$f (x) = 3^{x - 2} - 7$
118515	Find the Axis of Symmetry	f(x)=-2(x-4)^2+2	$f (x) = - 2 {(x - 4)}^{2} + 2$
118516	Find the Axis of Symmetry	f(x)=2x^2+14x+20	$f (x) = 2 x^{2} + 14 x + 20$
118517	Find the Axis of Symmetry	f(x)=-6x^2+24x-20	$f (x) = - 6 x^{2} + 24 x - 20$
118518	Find the LCM	7 , 3 , 2	$7$ , $3$ , $2$
118519	Complete the Square	t^2-4t	$t^{2} - 4 t$
118520	Complete the Square	t^2-6t	$t^{2} - 6 t$
118521	Divide Using Synthetic Division	(x^2-7x-7x^3+x^4)/(7+x)	$\frac{(x^{2} - 7 x - 7 x^{3} + x^{4})}{(7 + x)}$
118522	Divide Using Synthetic Division	(x^2+9)/(x-3)	$\frac{(x^{2} + 9)}{(x - 3)}$
118523	Divide Using Synthetic Division	(3x^2-2x+5)/(x-3)	$\frac{3 x^{2} - 2 x + 5}{x - 3}$
118524	Find the Maximum/Minimum Value	f(x)=-(x+7)^2+4	$f (x) = - {(x + 7)}^{2} + 4$
118525	Find the Maximum/Minimum Value	f(x)=3x^2-24x-2	$f (x) = 3 x^{2} - 24 x - 2$
118526	Find the Maximum/Minimum Value	d(x)=1/36(x-60)^2-100	$d (x) = \frac{1}{36} {(x - 60)}^{2} - 100$
118527	Find the Possible Factors	-196	$- 196$
118528	Find the Maximum/Minimum Value	D(x)=1/36(x-60)^2-100	$D (x) = \frac{1}{36} {(x - 60)}^{2} - 100$
118529	Find the Slope and y-intercept	-12x-4y=7	$- 12 x - 4 y = 7$
118530	Find the Slope and y-intercept	12x=2y+1	$12 x = 2 y + 1$
118531	Find the Slope and y-intercept	3x+4y=-7	$3 x + 4 y = - 7$
118532	Find the Slope and y-intercept	3x+4y=15	$3 x + 4 y = 15$
118533	Find the Slope and y-intercept	5x+y+2=0	$5 x + y + 2 = 0$
118534	Find the Slope and y-intercept	6x-3y-12=0	$6 x - 3 y - 12 = 0$
118535	Find the Slope and y-intercept	-6x-3y=18	$- 6 x - 3 y = 18$
118536	Find the Slope and y-intercept	y=-3/4x+7	$y = - \frac{3}{4} x + 7$
118537	Find the Slope and y-intercept	y=1/2x-1/3	$y = \frac{1}{2} x - \frac{1}{3}$
118538	Find the Slope and y-intercept	y=6-4x	$y = 6 - 4 x$
118539	Find the Slope and y-intercept	y=-8x-2	$y = - 8 x - 2$
118540	Find the Slope and y-intercept	3x-4y=32	$3 x - 4 y = 32$
118541	Find the Slope and y-intercept	y-1/2x-5=0	$y - \frac{1}{2} x - 5 = 0$
118542	Find the Roots/Zeros Using the Rational Roots Test	f(x)=9x^5-27x^4-10x^3+30x^2+x-3	$f (x) = 9 x^{5} - 27 x^{4} - 10 x^{3} + 30 x^{2} + x - 3$
118543	Split Using Partial Fraction Decomposition	(4x-12)/((x-4)(x+1))	$\frac{4 x - 12}{(x - 4) (x + 1)}$
118544	Split Using Partial Fraction Decomposition	(5x-10)/((x-5)(x+1))	$\frac{5 x - 10}{(x - 5) (x + 1)}$
118545	Find the x and y Intercepts	(x^2-9)/(x^2-4)	$\frac{x^{2} - 9}{x^{2} - 4}$
118546	Find the x and y Intercepts	-2x^3(x-2)^2(x+3)	$- 2 x^{3} {(x - 2)}^{2} (x + 3)$
118547	Find the x and y Intercepts	(2x^2+2x-12)/(x^2+x)	$\frac{2 x^{2} + 2 x - 12}{x^{2} + x}$
118548	Find the Axis of Symmetry	y=-x^2+7x-2	$y = - x^{2} + 7 x - 2$
118549	Find the Axis of Symmetry	y=4x^2+6x-5	$y = 4 x^{2} + 6 x - 5$
118550	Find the Range	f(x)=3^x+9	$f (x) = 3^{x} + 9$
118551	Find the Roots/Zeros Using the Rational Roots Test	3x^4-8x^3-13x-24	$3 x^{4} - 8 x^{3} - 13 x - 24$
118552	Evaluate Using the Given Value	f(4)=3^4	$f (4) = 3^{4}$
118553	Rationalize the Denominator	(4+ square root of 6)/(3- square root of 6)	$\frac{4 + \sqrt{6}}{3 - \sqrt{6}}$
118554	Find the Symmetry	x^2-y-4=0	$x^{2} - y - 4 = 0$
118555	Find the Discriminant	2y^2+4y+2=0	$2 y^{2} + 4 y + 2 = 0$
118556	Find the Discriminant	2x^2=6x+5	$2 x^{2} = 6 x + 5$
118557	Find the Discriminant	4y^2+4y+1=0	$4 y^{2} + 4 y + 1 = 0$
118558	Find the Discriminant	2q^2+4q+2=0	$2 q^{2} + 4 q + 2 = 0$
118559	Find the Discriminant	9z^2+6z+1=0	$9 z^{2} + 6 z + 1 = 0$
118560	Find the Inverse	(3x)/(x-2)	$\frac{3 x}{x - 2}$
118561	Find the Inverse	4/(11-2x)	$\frac{4}{11 - 2 x}$
118562	Find the Inverse	7x-9	$7 x - 9$
118563	Find the GCF	297x^4 , 99x^8	$297 x^{4}$ , $99 x^{8}$
118564	Find the Inverse	y=(4^x)/2	$y = \frac{4^{x}}{2}$
118565	Find the Inverse	y=(x-1)^3+2	$y = {(x - 1)}^{3} + 2$
118566	Find the Inverse	y = log base 2 of x+5-9	$y = \log_{2} (x + 5) - 9$
118567	Find the Inverse	y=(7-8x)^2	$y = {(7 - 8 x)}^{2}$
118568	Find the Inverse	y = log base 1/4 of x	$y = \log_{\frac{1}{4}} (x)$
118569	Find the Inverse	y=x^3+7	$y = x^{3} + 7$
118570	Find the Inverse	y=6x^2-3	$y = 6 x^{2} - 3$
118571	Find the Inverse	y = log base 5 of 2x	$y = \log_{5} (2 x)$
118572	Determine if Rational	-7.832198653	$- 7.83219865$
118573	Find the Roots (Zeros)	(x-5)^4=256	${(x - 5)}^{4} = 256$
118574	Find the Roots (Zeros)	square root of x-5=4	$\sqrt{x - 5} = 4$
118575	Find the Roots (Zeros)	x^4-x^3-15x^2+9x+54=0	$x^{4} - x^{3} - 15 x^{2} + 9 x + 54 = 0$
118576	Find the Roots (Zeros)	y=(x+1)(x-3)(x-6)	$y = (x + 1) (x - 3) (x - 6)$
118577	Find the Roots (Zeros)	y=x^2+8x-33	$y = x^{2} + 8 x - 33$
118578	Find the Roots (Zeros)	-x^2-8=-33	$- x^{2} - 8 = - 33$
118579	Find the Roots (Zeros)	x^3-5x^2+7x-35=0	$x^{3} - 5 x^{2} + 7 x - 35 = 0$
118580	Find the Roots (Zeros)	x^3-2x^2-13x-10=0	$x^{3} - 2 x^{2} - 13 x - 10 = 0$
118581	Find the Roots (Zeros)	x^3+5x^2-20=0	$x^{3} + 5 x^{2} - 20 = 0$
118582	Find the Roots (Zeros)	y=x^3-x^2-9x+9	$y = x^{3} - x^{2} - 9 x + 9$
118583	Find the Slope and y-intercept	f(x)=4/5x-8	$f (x) = \frac{4}{5} x - 8$
118584	Find the Degree, Leading Term, and Leading Coefficient	(3x^2+1)(2x^2-9)	$(3 x^{2} + 1) (2 x^{2} - 9)$
118585	Find the Vertex	2x^2+8x-6	$2 x^{2} + 8 x - 6$
118586	Find the Vertex	-4x^2-20x+4	$- 4 x^{2} - 20 x + 4$
118587	Find the Vertex	3(x+5)^2-4	$3 {(x + 5)}^{2} - 4$
118588	Solve by Graphing	x^3-3x^2+2=0.1-x	$x^{3} - 3 x^{2} + 2 = 0.1 - x$
118589	Expand Using Sum/Difference Formulas	sin(105 degrees )	$\sin (105 °)$
118590	Determine if a Polynomial	x- square root of 7	$x - \sqrt{7}$
118591	Convert to an Improper Fraction	7 1/6	$7 \frac{1}{6}$
118592	Convert to an Improper Fraction	1 7/9	$1 \frac{7}{9}$
118593	Find the 5th Term	-3 , 15 , -75	$- 3$ , $15$ , $- 75$
118594	Find the 5th Term	-5 , 20 , -80	$- 5$ , $20$ , $- 80$
118595	Find the GCF	6n^3-3n^5	$6 n^{3} - 3 n^{5}$
118596	Find the GCF	-3x-18	$- 3 x - 18$
118597	Find the GCF	14z^4-42z^3+6z^2	$14 z^{4} - 42 z^{3} + 6 z^{2}$
118598	Find Where Undefined/Discontinuous	(x^2-11x+30)/(x^2-25)*(x^2+6x+5)/(x^2-5x-6)	$\frac{x^{2} - 11 x + 30}{x^{2} - 25} \cdot \frac{x^{2} + 6 x + 5}{x^{2} - 5 x - 6}$
118599	Find Where Undefined/Discontinuous	(y-7)/(y^2-49)	$\frac{y - 7}{y^{2} - 49}$
118600	Find Where Undefined/Discontinuous	(9x)/(27x^2-9x)	$\frac{9 x}{27 x^{2} - 9 x}$