Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
127701	Determine if Injective (One to One)	f(x)=x^2-5	$f (x) = x^{2} - 5$
127702	Find the Center	(x^2)/16+(y^2)/25=1	$\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1$
127703	Find the Center	(x^2)/100+(y^2)/64=1	$\frac{x^{2}}{100} + \frac{y^{2}}{64} = 1$
127704	Write as an Equation	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
127705	Find the Slope of a Perpendicular Line	y=1/5x	$y = \frac{1}{5} x$
127706	Determine if Dependent, Independent, or Inconsistent	2x+y=-2 , x+2y=2	$2 x + y = - 2$ , $x + 2 y = 2$
127707	Determine if Dependent, Independent, or Inconsistent	x+2y=2 , x/2+y=1	$x + 2 y = 2$ , $\frac{x}{2} + y = 1$
127708	Find the Roots/Zeros Using the Rational Roots Test	X^3-5X^2-9X+45	$X^{3} - 5 X^{2} - 9 X + 45$
127709	Find the Horizontal Line Through the Point	(-2,5)	$(- 2, 5)$
127710	Plot	x<=4	$x \leq 4$
127711	Find a,b,c	3x^2=20-7x	$3 x^{2} = 20 - 7 x$
127712	Find the Center	(x^2)/144-(y^2)/25=1	$\frac{x^{2}}{144} - \frac{y^{2}}{25} = 1$
127713	Find the Mode	77 , 79 , 65 , 67 , 70 , 63 , 81 , 70 , 69 , 64 , 69 , 74 , 76 , 85 , 71	$77$ , $79$ , $65$ , $67$ , $70$ , $63$ , $81$ , $70$ , $69$ , $64$ , $69$ , $74$ , $76$ , $85$ , $71$
127714	Find the Median	275 , 257 , 301 , 218 , 265 , 242 , 201	$275$ , $257$ , $301$ , $218$ , $265$ , $242$ , $201$
127715	Determine if the Expression is a Perfect Square	(x-2)^2	${(x - 2)}^{2}$
127716	Find the Union of the Sets	A=(0,1,2) , B=(0,2,3,4)	$A = (0, 1, 2)$ , $B = (0, 2, 3, 4)$
127717	Transpose	[[1,0,3],[-2,5,-1]]	$[\begin{array}{c} 1 & 0 & 3 \\ - 2 & 5 & - 1 \end{array}]$
127718	Find the Interquartile Range (H-Spread)	27 , 16 , 8 , 5 , 19 , 14 , 22 , 31 , 13 , 5 , 23 , 16 , 8	$27$ , $16$ , $8$ , $5$ , $19$ , $14$ , $22$ , $31$ , $13$ , $5$ , $23$ , $16$ , $8$
127719	Identify the Conic	(x^2)/9+(y^2)/4=1	$\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$
127720	Find the Eccentricity	(x^2)/9+(y^2)/25=1	$\frac{x^{2}}{9} + \frac{y^{2}}{25} = 1$
127721	Find the Slope of a Perpendicular Line	y=3/2x	$y = \frac{3}{2} x$
127722	Find the Slope of a Parallel Line	y=5/4x	$y = \frac{5}{4} x$
127723	Find the Median	27 , 16 , 8 , 5 , 19 , 14 , 22 , 31 , 13 , 5 , 23 , 16 , 8	$27$ , $16$ , $8$ , $5$ , $19$ , $14$ , $22$ , $31$ , $13$ , $5$ , $23$ , $16$ , $8$
127724	Determine if Injective (One to One)	f(x)=6x-7	$f (x) = 6 x - 7$
127725	Find the Eccentricity	(x^2)/25+(y^2)/9=1	$\frac{x^{2}}{25} + \frac{y^{2}}{9} = 1$
127726	Find the Mean	27 , 16 , 8 , 5 , 19 , 14 , 22 , 31 , 13 , 5 , 23 , 16 , 8	$27$ , $16$ , $8$ , $5$ , $19$ , $14$ , $22$ , $31$ , $13$ , $5$ , $23$ , $16$ , $8$
127727	Find the Symmetry	y=1/x	$y = \frac{1}{x}$
127728	Determine if Linear	y=x/2	$y = \frac{x}{2}$
127729	Use the Rational Roots Test to Find All Possible Roots	3x^5-2x^4+4x^2-5x+7	$3 x^{5} - 2 x^{4} + 4 x^{2} - 5 x + 7$
127730	Find the Properties	f(x)=-x^2-5x-5	$f (x) = - x^{2} - 5 x - 5$
127731	Plot	x<2	$x < 2$
127732	Plot	\|2x+7\|<15	$\| 2 x + 7 \| < 15$
127733	Find the Behavior (Leading Coefficient Test)	f(x)=x^3+4x^2-x-4	$f (x) = x^{3} + 4 x^{2} - x - 4$
127734	Find the Intersection of the Sets	A=(0,1,2,3,4,5,6,7,8,9) , B=(5,7,9,11)	$A = (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)$ , $B = (5, 7, 9, 11)$
127735	Find the Slope of a Perpendicular Line	y=-1/2x+5	$y = - \frac{1}{2} x + 5$
127736	Solve for x	2x<x-4<=3x+8	$2 x < x - 4 \leq 3 x + 8$
127737	Find the Center	((x+2)^2)/49-((y+3)^2)/25=1	$\frac{{(x + 2)}^{2}}{49} - \frac{{(y + 3)}^{2}}{25} = 1$
127738	Find the Center	(x^2)/144+(y^2)/169=1	$\frac{x^{2}}{144} + \frac{y^{2}}{169} = 1$
127739	Find the Center	16x^2+9y^2=144	$16 x^{2} + 9 y^{2} = 144$
127740	Find the Remainder	(x^4+5x^3-2x^2+1)/(x^2+1)	$\frac{x^{4} + 5 x^{3} - 2 x^{2} + 1}{x^{2} + 1}$
127741	Solve Using a Matrix by Elimination	x-y+z=0x+z=1x+y+z=2	$x - y + z = 0 x + z = 1 x + y + z = 2$
127742	Find the Horizontal Line Through the Point	(0,5)	$(0, 5)$
127743	Plot	x>-2	$x > - 2$
127744	Find the Parallel Line	y=9x-6 , (1,13)	$y = 9 x - 6$ , $(1, 13)$
127745	Determine if Injective (One to One)	f(x)=x^2-6	$f (x) = x^{2} - 6$
127746	Find the Behavior (Leading Coefficient Test)	f(x)=-x^4+x^2	$f (x) = - x^{4} + x^{2}$
127747	Determine if Injective (One to One)	f(x)=x^2-7	$f (x) = x^{2} - 7$
127748	Find the Symmetry	x^2-y^2=16	$x^{2} - y^{2} = 16$
127749	Determine the Nature of the Roots Using the Discriminant	-9x^2-6x-1=0	$- 9 x^{2} - 6 x - 1 = 0$
127750	Find the Symmetry	f(x)=x^3	$f (x) = x^{3}$
127751	Plot	x>=-2	$x \geq - 2$
127752	Plot	x>=-1	$x \geq - 1$
127753	Find the Slope of a Perpendicular Line	y=4/3x	$y = \frac{4}{3} x$
127754	Find a,b,c	4-3x=-x^2+3x	$4 - 3 x = - x^{2} + 3 x$
127755	Determine the Nature of the Roots Using the Discriminant	-4x^2-4x-1=0	$- 4 x^{2} - 4 x - 1 = 0$
127756	Find the Remainder	(x^3-x^2+7x)/(6x-5)	$\frac{x^{3} - x^{2} + 7 x}{6 x - 5}$
127757	Find the Next Term	2 , 8 , 32 , 128	$2$ , $8$ , $32$ , $128$
127758	Find the Lower or First Quartile	275 , 257 , 301 , 218 , 265 , 242 , 201	$275$ , $257$ , $301$ , $218$ , $265$ , $242$ , $201$
127759	Find Where Increasing/Decreasing	-x^2+4x	$- x^{2} + 4 x$
127760	Find a,b,c	-2x^2+1=5x	$- 2 x^{2} + 1 = 5 x$
127761	Find the Slope of a Parallel Line	y=1/5x	$y = \frac{1}{5} x$
127762	Find the Slope of a Parallel Line	y=5/2x	$y = \frac{5}{2} x$
127763	Find the Remainder	(3x^4+2x^3-x^2+2x-19)÷(x+2)	$(3 x^{4} + 2 x^{3} - x^{2} + 2 x - 19) \div (x + 2)$
127764	Find the Interquartile Range (H-Spread)	17 , 23 , 8 , 5 , 9 , 16 , 22 , 11 , 13 , 15 , 17 , 18	$17$ , $23$ , $8$ , $5$ , $9$ , $16$ , $22$ , $11$ , $13$ , $15$ , $17$ , $18$
127765	Solve Using a Matrix by Elimination	x+2y-3z=26x+3y-9z=67x+14y-21z=13	$x + 2 y - 3 z = 26 x + 3 y - 9 z = 67 x + 14 y - 21 z = 13$
127766	Evaluate the Difference Quotient	f(x)=x^2+8x-4 , x=4	$f (x) = x^{2} + 8 x - 4$ , $x = 4$
127767	Determine if Linear	y=x^2	$y = x^{2}$
127768	Plot	\|x-11\|>4	$\| x - 11 \| > 4$
127769	Find the Remainder	(x^5+1)÷(x+1)	$(x^{5} + 1) \div (x + 1)$
127770	Find the Perpendicular Line	y=x-2 , (2,6)	$y = x - 2$ , $(2, 6)$
127771	Solve for x	-10<=2x-4<8	$- 10 \leq 2 x - 4 < 8$
127772	Find the Center	((y+5)^2)/16-((x-1)^2)/9=1	$\frac{{(y + 5)}^{2}}{16} - \frac{{(x - 1)}^{2}}{9} = 1$
127773	Solve the Matrix Equation	x-[[3,4],[-5,2]]=[[5,-1],[1,0]]	$x - [\begin{array}{c} 3 & 4 \\ - 5 & 2 \end{array}] = [\begin{array}{c} 5 & - 1 \\ 1 & 0 \end{array}]$
127774	Solve the Triangle	e+1.2=2	$e + 1.2 = 2$
127775	Plot	\|x-11\|<4	$\| x - 11 \| < 4$
127776	Plot	x<-3	$x < - 3$
127777	Find the Interquartile Range (H-Spread)	241 , 230 , 201 , 245 , 209 , 211 , 242 , 201 , 204 , 228 , 242 , 243	$241$ , $230$ , $201$ , $245$ , $209$ , $211$ , $242$ , $201$ , $204$ , $228$ , $242$ , $243$
127778	Determine if Odd, Even, or Neither	f(x)=3x-4+2x^2	$f (x) = 3 x - 4 + 2 x^{2}$
127779	Find the Union of the Sets	A=(6,8,9) , B=(1,5,9)	$A = (6, 8, 9)$ , $B = (1, 5, 9)$
127780	Find the Union of the Sets	A=(0,2,3,4) , B=(0,2,3,4,5)	$A = (0, 2, 3, 4)$ , $B = (0, 2, 3, 4, 5)$
127781	Reduce	(a^2m+4m)/(a^2+4)	$\frac{a^{2} m + 4 m}{a^{2} + 4}$
127782	Determine the Possible Number of Real Roots	-9x^2-6x-1=0	$- 9 x^{2} - 6 x - 1 = 0$
127783	Plot	x>2	$x > 2$
127784	Plot	x<=3	$x \leq 3$
127785	Rationalize the Numerator	( square root of 25x)/7	$\frac{\sqrt{25 x}}{7}$
127786	Find the Horizontal Line Through the Point	(0,3)	$(0, 3)$
127787	Find the Slope of a Parallel Line	y=4/3x	$y = \frac{4}{3} x$
127788	Factor over the Complex Numbers	x^2+81	$x^{2} + 81$
127789	Find the Slope of a Perpendicular Line	y=3x+2	$y = 3 x + 2$
127790	Find the Difference Quotient	f(x)=x^2-4	$f (x) = x^{2} - 4$
127791	Find the Range	f(x)=-3^x-5	$f (x) = - 3^{x} - 5$
127792	Plot	x^2+y^2<=9	$x^{2} + y^{2} \leq 9$
127793	Find the Parallel Line	y=x-9 , (0,0)	$y = x - 9$ , $(0, 0)$
127794	Evaluate Using Scientific Notation	(7.710^8)(4.9*10^-5)	$(7.7 \cdot 10^{8}) \cdot (4.9 \cdot 10^{- 5})$
127795	Find the Horizontal Line Through the Point	(2,5)	$(2, 5)$
127796	Determine the Possible Number of Real Roots	-9x^2+6x-1=0	$- 9 x^{2} + 6 x - 1 = 0$
127797	Solve for y	5<2-3y<14	$5 < 2 - 3 y < 14$
127798	Find the Sample Standard Deviation	8 , 9 , 10 , 11 , 12	$8$ , $9$ , $10$ , $11$ , $12$
127799	Determine if Odd, Even, or Neither	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
127800	Find the Horizontal Line Through the Point	(4,2)	$(4, 2)$