Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
131501	Write the Fraction in Simplest Form	3/10	$\frac{3}{10}$
131502	Write the Fraction in Simplest Form	(2 square root of 10)/(3 square root of 11)	$\frac{2 \sqrt{10}}{3 \sqrt{11}}$
131503	Find the End Behavior	y = square root of x	$y = \sqrt{x}$
131504	Find the LCM	9x^2-12x+4 , 3x^2+10x-8	$9 x^{2} - 12 x + 4$ , $3 x^{2} + 10 x - 8$
131505	Find the LCM	5d-20 , d-4	$5 d - 20$ , $d - 4$
131506	Find the LCM	2r-1 , r+4	$2 r - 1$ , $r + 4$
131507	Find the LCM	3y^2-9y , y^2-8y+15	$3 y^{2} - 9 y$ , $y^{2} - 8 y + 15$
131508	Find the End Behavior	f(x)=2x^4-3x^2+2x	$f (x) = 2 x^{4} - 3 x^{2} + 2 x$
131509	Solve the Matrix Equation	1/2x+[[8,2,1],[3,5,7],[2,0,9]]=[[4,4,7],[2,3,8],[7,8,5]]	$\frac{1}{2} x + [\begin{array}{c} 8 & 2 & 1 \\ 3 & 5 & 7 \\ 2 & 0 & 9 \end{array}] = [\begin{array}{c} 4 & 4 & 7 \\ 2 & 3 & 8 \\ 7 & 8 & 5 \end{array}]$
131510	Find the Standard Form of the Parabola	x=(y-2)^2+36	$x = {(y - 2)}^{2} + 36$
131511	Solve Using a Matrix with Cramer's Rule	-4x-3y+4z=-82y+2z=12-4x-2z=-8	$- 4 x - 3 y + 4 z = - 82 y + 2 z = 12 - 4 x - 2 z = - 8$
131512	Solve for x	6<=3x+3<12	$6 \leq 3 x + 3 < 12$
131513	Find Where Increasing/Decreasing	-x^2+6x	$- x^{2} + 6 x$
131514	Find the Median	10 , 16 , 15 , 14 , 8 , 21 , 10 , 5 , 19 , 18 , 4 , 5 , 16 , 12 , 10 , 9	$10$ , $16$ , $15$ , $14$ , $8$ , $21$ , $10$ , $5$ , $19$ , $18$ , $4$ , $5$ , $16$ , $12$ , $10$ , $9$
131515	Determine the Nature of the Roots Using the Discriminant	-4x^2+7x-2=0	$- 4 x^{2} + 7 x - 2 = 0$
131516	Find the Distance Between Two Points	(-5,-8) , (-1,-16)	$(- 5, - 8) (- 1, - 16)$
131517	Find the Distance Between Two Points	(-7,4) , (3,-5)	$(- 7, 4) (3, - 5)$
131518	Find the Distance Between Two Points	(-2,1) , (4,3)	$(- 2, 1) (4, 3)$
131519	Write as a Function of x	x=2y	$x = 2 y$
131520	Write as a Function of t	h=235t-16t^2	$h = 235 t - 16 t^{2}$
131521	Evaluate Using Scientific Notation	(1.710^-4)(510^-5)	$(1.7 \cdot 10^{- 4}) (5 \cdot 10^{- 5})$
131522	Evaluate Using Scientific Notation	(2.510^4)(410^3)	$(2.5 \cdot 10^{4}) (4 \cdot 10^{3})$
131523	Evaluate Using Scientific Notation	(3.010^-6)/(5.010^-3)	$\frac{3 \cdot 10^{- 6}}{5 \cdot 10^{- 3}}$
131524	Determine the Possible Number of Real Roots	f(x)=x^5-2x^3+7x^2+2x-2	$f (x) = x^{5} - 2 x^{3} + 7 x^{2} + 2 x - 2$
131525	Find the Degree, Leading Term, and Leading Coefficient	2x^6+2-4x^2+5x^7-4x	$2 x^{6} + 2 - 4 x^{2} + 5 x^{7} - 4 x$
131526	Round to the Nearest Tenth	0.86	$0.86$
131527	Round to the Nearest Tenth	9.4	$9.4$
131528	Round to the Nearest Hundredth	0.0625	$0.0625$
131529	Round to the Nearest Hundredth	4.4	$4.4$
131530	Round to the Nearest Hundredth	6.928	$6.928$
131531	Round to the Nearest Hundredth	200.96	$200.96$
131532	Round to the Nearest Hundredth	3.5	$3.5$
131533	Find the Symmetry	y=x^3-125	$y = x^{3} - 125$
131534	Find the Symmetry	x=y^2+1	$x = y^{2} + 1$
131535	Find the Symmetry	x^2+y^2=100	$x^{2} + y^{2} = 100$
131536	Find the Symmetry	36x^2+y^2=36	$36 x^{2} + y^{2} = 36$
131537	Solve by Addition/Elimination	3x-7y=136x+5y=7	$3 x - 7 y = 136 x + 5 y = 7$
131538	Solve by Addition/Elimination	3x^2+4y^2-16=2x^2-3y^2-5=0	$3 x^{2} + 4 y^{2} - 16 = 2 x^{2} - 3 y^{2} - 5 = 0$
131539	Solve by Addition/Elimination	3x+14=203 11x+11y=220	$3 x + 14 = 203$ $11 x + 11 y = 220$
131540	Solve by Addition/Elimination	3x+5y=93x+2y=3	$3 x + 5 y = 93 x + 2 y = 3$
131541	Solve by Addition/Elimination	2x^2+3y^2-30=5x^2-7y^2-17=0	$2 x^{2} + 3 y^{2} - 30 = 5 x^{2} - 7 y^{2} - 17 = 0$
131542	Solve by Addition/Elimination	2x+3y=233x+y=17	$2 x + 3 y = 233 x + y = 17$
131543	Find the LCD	2/(3x^2+12x)+8/(2x)	$\frac{2}{3 x^{2} + 12 x} + \frac{8}{2 x}$
131544	Convert to Rectangular	4(cos(210)+isin(210))	$4 (\cos (210) + i \sin (210))$
131545	Convert to Rectangular	6(cos(330)+isin(330))	$6 (\cos (330) + i \sin (330))$
131546	Convert to Rectangular	2(cos(135)+isin(135))	$2 (\cos (135) + i \sin (135))$
131547	Convert to Rectangular	3(cos(240)+isin(240))	$3 (\cos (240) + i \sin (240))$
131548	Find the Slope and y-intercept	f(x)=-3x+5	$f (x) = - 3 x + 5$
131549	Find the Sample Standard Deviation	18 , 16 , 15 , 15 , 16	$18$ , $16$ , $15$ , $15$ , $16$
131550	Find the Sample Standard Deviation	10 , 20 , 25 , 30 , 40	$10$ , $20$ , $25$ , $30$ , $40$
131551	Reduce	(a-a^4)/(a^2+a+1)	$\frac{a - a^{4}}{a^{2} + a + 1}$
131552	Determine if Linear	y=6	$y = 6$
131553	Determine if Linear	y=3x+6	$y = 3 x + 6$
131554	Determine if Linear	y=1/2x	$y = \frac{1}{2} x$
131555	Determine if Linear	x=5	$x = 5$
131556	Round to the Nearest Thousandth	0.2	$0.2$
131557	Find the GCF	60 , 72	$60$ , $72$
131558	Find the GCF	81y , 135	$81 y$ , $135$
131559	Find the Local Maxima and Minima	x^3+x^2-x-1	$x^{3} + x^{2} - x - 1$
131560	Find the Range	1 1/4 , 5/8 , 3/5 , 1/2 , 1 1/2 , 1 3/4	$1 \frac{1}{4}$ , $\frac{5}{8}$ , $\frac{3}{5}$ , $\frac{1}{2}$ , $1 \frac{1}{2}$ , $1 \frac{3}{4}$
131561	Determine if Odd, Even, or Neither	4x^4-9x^3+5x	$4 x^{4} - 9 x^{3} + 5 x$
131562	Write the Fraction in Simplest Form	5/6	$\frac{5}{6}$
131563	Write the Fraction in Simplest Form	square root of 2/3	$\sqrt{\frac{2}{3}}$
131564	Write the Fraction in Simplest Form	1 1/4	$1 \frac{1}{4}$
131565	Write the Fraction in Simplest Form	7/12	$\frac{7}{12}$
131566	Write the Fraction in Simplest Form	(64^10)/(64^5)	$\frac{64^{10}}{64^{5}}$
131567	Find the Lower or First Quartile	49.6 , 55.1 , 57.4 , 49.7 , 61.1 , 43.4 , 60.7 , 50.1 , 50.7 , 58.8 , 53.9 , 43.2 , 49.2 , 47.9 , 51.2	$49.6$ , $55.1$ , $57.4$ , $49.7$ , $61.1$ , $43.4$ , $60.7$ , $50.1$ , $50.7$ , $58.8$ , $53.9$ , $43.2$ , $49.2$ , $47.9$ , $51.2$
131568	Divide	(6x^2+3x)/x	$\frac{6 x^{2} + 3 x}{x}$
131569	Find the Mode	10 , 6 , 4 , 4 , 6 , 4 , 1	$10$ , $6$ , $4$ , $4$ , $6$ , $4$ , $1$
131570	Rationalize the Numerator	cube root of 5/27	$\sqrt[3]{\frac{5}{27}}$
131571	Graph the Interval	[-3,2]	$[- 3, 2]$
131572	Identify the Conic	x^2-3xy+5y^2-28x+16y-30=0	$x^{2} - 3 x y + 5 y^{2} - 28 x + 16 y - 30 = 0$
131573	Identify the Conic	9x^2+25y^2-200y+175=0	$9 x^{2} + 25 y^{2} - 200 y + 175 = 0$
131574	Identify the Conic	3x^2+30x+y+79=0	$3 x^{2} + 30 x + y + 79 = 0$
131575	Factor over the Complex Numbers	x^2-10x+61	$x^{2} - 10 x + 61$
131576	Factor over the Complex Numbers	9i	$9 i$
131577	Factor over the Complex Numbers	5-4i	$5 - 4 i$
131578	Find the GCF	12x^3	$12 x^{3}$
131579	Find the GCF	14k^2(10k^2+5)-2k(10k^2+5)	$14 k^{2} (10 k^{2} + 5) - 2 k (10 k^{2} + 5)$
131580	Find the GCF	792x^9y^13z^4	$792 x^{9} y^{13} z^{4}$
131581	Find the GCF	5x+15	$5 x + 15$
131582	Find the Fourth Term	108 , 36 , 12 ,	$108$ , $36$ , $12$ ,
131583	Find the Third Term	5/16(2)^(n-1)	$\frac{5}{16} {(2)}^{n - 1}$
131584	Determine if Proper or Improper	f(x)=x+2	$f (x) = x + 2$
131585	Find the Degree	40	$40$
131586	Find the Degree	-5x^3	$- 5 x^{3}$
131587	Multiply the Matrices	[[1,0],[0,-1]][[0,7,7,1,1,0],[0,0,1,1,9,9]]	$[\begin{array}{c} 1 & 0 \\ 0 & - 1 \end{array}] [\begin{array}{c} 0 & 7 & 7 & 1 & 1 & 0 \\ 0 & 0 & 1 & 1 & 9 & 9 \end{array}]$
131588	Find the Slope	y=3/4x-1	$y = \frac{3}{4} x - 1$
131589	Find the Interquartile Range (H-Spread)	9 , 30 , 2 , 48 , 42 , 18 , 81 , 5 , 55 , 73 , 11	$9$ , $30$ , $2$ , $48$ , $42$ , $18$ , $81$ , $5$ , $55$ , $73$ , $11$
131590	Determine the Type of Number	square root of 43	$\sqrt{43}$
131591	Combine	7x-x	$7 x - x$
131592	Combine	4 square root of n^2+ square root of m^2n- square root of 4n^2- square root of mn^2	$4 \sqrt{n^{2}} + \sqrt{m^{2} n} - \sqrt{4 n^{2}} - \sqrt{m n^{2}}$
131593	Determine the Possible Number of Real Roots	-4x^2+20x-25=0	$- 4 x^{2} + 20 x - 25 = 0$
131594	Solve for x1	m=(y_2-y_1)/(x_2-x_1)	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
131595	Solve for I	s=2 square root of I-9	$s = 2 \sqrt{I} - 9$
131596	Solve for j	a=(j+b)/(j-c)	$a = \frac{j + b}{j - c}$
131597	Solve for a1	a_n=a_1+(n-1)d	$a_{n} = a_{1} + (n - 1) d$
131598	Split Using Partial Fraction Decomposition	30/(x(x^2+10))	$\frac{30}{x (x^{2} + 10)}$
131599	Find Where Undefined/Discontinuous	f(x)=(x^2-64)/(x-8)	$f (x) = \frac{x^{2} - 64}{x - 8}$
131600	Subtract the Matrices	[[6,-3,3,-1]]-[[1,-3,-5,-6]]	$[\begin{array}{c} 6 & - 3 & 3 & - 1 \end{array}] - [\begin{array}{c} 1 & - 3 & - 5 & - 6 \end{array}]$