Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181501	Find the Holes in the Graph	y=(x^2+5x)/(x^2+7x+10)	$y = \frac{x^{2} + 5 x}{x^{2} + 7 x + 10}$
181502	Write in Standard Form	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
181503	Find the Perfect Square Trinomial	x^2+6x-9	$x^{2} + 6 x - 9$
181504	Graph Using a Table of Values	g(x)=(3/2)^x	$g (x) = {(\frac{3}{2})}^{x}$
181505	Graph Using a Table of Values	y = square root of x-1	$y = \sqrt{x - 1}$
181506	Find the Product	(3p^4)^3*(p^2)^7	${(3 p^{4})}^{3} \cdot {(p^{2})}^{7}$
181507	Solve for x	4^x=5^(x^2)	$4^{x} = 5^{x^{2}}$
181508	Solve for c	2/3(c-18)=7	$\frac{2}{3} (c - 18) = 7$
181509	Graph	y=1/2\|x+2\|+1	$y = \frac{1}{2} \| x + 2 \| + 1$
181510	Find All Complex Solutions	cos(2x)-cos(x)=-1	$\cos (2 x) - \cos (x) = - 1$
181511	Graph	y=-3sin(x/2+pi/4)-2	$y = - 3 \sin (\frac{x}{2} + \frac{π}{4}) - 2$
181512	Describe the Transformation	y=1/2\|x\|	$y = \frac{1}{2} \| x \|$
181513	Find the Exact Value	(1/5)^-2	${(\frac{1}{5})}^{- 2}$
181514	Simplify	(1/2-x/4)/((x^2)/4-1)	$\frac{\frac{1}{2} - \frac{x}{4}}{\frac{x^{2}}{4} - 1}$
181515	Solve the Inequality for x	x^2+x-30<0	$x^{2} + x - 30 < 0$
181516	Simplify	x square root of 63x^2+4 square root of 63x^4	$x \sqrt{63 x^{2}} + 4 \sqrt{63 x^{4}}$
181517	Solve for b	square root of 648 = square root of 2^a*3^b	$\sqrt{648} = \sqrt{2^{a} \cdot 3^{b}}$
181518	Simplify	(7(x/2)-3)/(5(x/2)-1)	$\frac{7 (\frac{x}{2}) - 3}{5 (\frac{x}{2}) - 1}$
181519	Simplify	(4m-3n)/(30n^2)+(5m+2n)/(30n^2)	$\frac{4 m - 3 n}{30 n^{2}} + \frac{5 m + 2 n}{30 n^{2}}$
181520	Solve for x	\|1/3-x/5\|=7/15	$\| \frac{1}{3} - \frac{x}{5} \| = \frac{7}{15}$
181521	Find the Equation of the Circle	Center (-4,3) , r=5	Center $(- 4, 3)$ , $r = 5$
181522	Find the Holes in the Graph	f(x)=(x+1)/(x+7)	$f (x) = \frac{x + 1}{x + 7}$
181523	Determine if Parallel	5x+3y=3 and 3x+5y=-25	$5 x + 3 y = 3$ and $3 x + 5 y = - 25$
181524	Graph	y=1-1/x	$y = 1 - \frac{1}{x}$
181525	Solve for x	5+x=17-2x	$5 + x = 17 - 2 x$
181526	Solve for a	x^(6/5)x=x^a	$x^{\frac{6}{5}} x = x^{a}$
181527	Solve the Inequality for x	x^2<81	$x^{2} < 81$
181528	Graph	y=5/2sin(x-(2pi)/3)	$y = \frac{5}{2} \sin (x - \frac{2 π}{3})$
181529	Evaluate	(sin(x)-cos(x))^2	${(\sin (x) - \cos (x))}^{2}$
181530	Convert to a Mixed Number	125%	$125 %$
181531	Find the Roots (Zeros)	f(x)=2x(x-2)(1-x)	$f (x) = 2 x (x - 2) (1 - x)$
181532	Simplify	4(150x^2y)^(1/2)	$4 {(150 x^{2} y)}^{\frac{1}{2}}$
181533	Find the First Term	a_n=4n+1	$a_{n} = 4 n + 1$
181534	Solve for x	86=9(5)^x+41	$86 = 9 {(5)}^{x} + 41$
181535	Graph	y<=x^2-2	$y \leq x^{2} - 2$
181536	Solve the Inequality for x	2x^2<x+15	$2 x^{2} < x + 15$
181537	Evaluate	3^x=6	$3^{x} = 6$
181538	Solve for s	6(4s+12)=8(3s-14)	$6 (4 s + 12) = 8 (3 s - 14)$
181539	Graph	-3/2(x-2)^2	$- \frac{3}{2} {(x - 2)}^{2}$
181540	Simplify	a-2+1+4a	$a - 2 + 1 + 4 a$
181541	Find the Axis of Symmetry	f(x)=x^3+3x^2-x-3	$f (x) = x^{3} + 3 x^{2} - x - 3$
181542	Find the Domain and Range	2x^5-6x^3+8x^2-5	$2 x^{5} - 6 x^{3} + 8 x^{2} - 5$
181543	Evaluate	9/10(-2/3)	$\frac{9}{10} (- \frac{2}{3})$
181544	Find the Exact Value	(2^2)/5+(2/5)^2-(2^0)/5+(2/5)^0	$\frac{2^{2}}{5} + {(\frac{2}{5})}^{2} - \frac{2^{0}}{5} + {(\frac{2}{5})}^{0}$
181545	Simplify	1/5 square root of 50	$\frac{1}{5} \sqrt{50}$
181546	Solve for w	(12ds)/w=cd	$\frac{12 d s}{w} = c d$
181547	Simplify	(18a)/(14b^2)*(21b)/(12a^2b)	$\frac{18 a}{14 b^{2}} \cdot \frac{21 b}{12 a^{2} b}$
181548	Evaluate	v(r)=4/3pir^3	$v (r) = \frac{4}{3} π r^{3}$
181549	Simplify	(7s^5)(-1/5s^3)	$(7 s^{5}) (- \frac{1}{5} s^{3})$
181550	Write Using Negative Exponents	x-4+x^5	$x - 4 + x^{5}$
181551	Solve for a	(x^2)/(x^(2/3))=x^a	$\frac{x^{2}}{x^{\frac{2}{3}}} = x^{a}$
181552	Divide	6 3/5÷2 1/5	$6 \frac{3}{5} \div 2 \frac{1}{5}$
181553	Simplify	(4x)/(x^2-9)-6/(x^2+x-12)	$\frac{4 x}{x^{2} - 9} - \frac{6}{x^{2} + x - 12}$
181554	Solve for x	4\|x-12\|+1=-7\|x-12\|+1	$4 \| x - 12 \| + 1 = - 7 \| x - 12 \| + 1$
181555	Simplify	(x^2+5x+4)/(x^2-8x)*(6x^2-102x+432)/(4x^2-20x-144)	$\frac{x^{2} + 5 x + 4}{x^{2} - 8 x} \cdot \frac{6 x^{2} - 102 x + 432}{4 x^{2} - 20 x - 144}$
181556	Simplify	3x(x-1)-4x(3x-2)	$3 x (x - 1) - 4 x (3 x - 2)$
181557	Evaluate	8/(2pi)	$\frac{8}{2 π}$
181558	Simplify the Radical Expression	- square root of -4	$- \sqrt{- 4}$
181559	Find the Exact Value	natural log of e^4	$\ln (e^{4})$
181560	Solve the Inequality for x	x^2-3(x+1)<=x-3x-3	$x^{2} - 3 (x + 1) \leq x - 3 x - 3$
181561	Solve for z	-1/3(4+z)=-5/6	$- \frac{1}{3} (4 + z) = - \frac{5}{6}$
181562	Find the Midpoint	(10,7) and (5,4)	$(10, 7)$ and $(5, 4)$
181563	Simplify	6x+(14x-5)+(17-3x)	$6 x + (14 x - 5) + (17 - 3 x)$
181564	Solve Using the Quadratic Formula	2x^2-3x+10=2x^2+21	$2 x^{2} - 3 x + 10 = 2 x^{2} + 21$
181565	Solve for x	2\|x+10\|+12=-3\|x+10\|+62	$2 \| x + 10 \| + 12 = - 3 \| x + 10 \| + 62$
181566	Solve the Inequality for x	x^2-5x-6>=0	$x^{2} - 5 x - 6 \geq 0$
181567	Solve for m	P=m+n+k	$P = m + n + k$
181568	Solve for a	a/(dc)=b	$\frac{a}{d c} = b$
181569	Convert to Polar	y^2=9x	$y^{2} = 9 x$
181570	Evaluate	2 choose 3	${}_{2}C_{3}$
181571	Simplify	3x^3+x^2+2(x^3-4x^2)	$3 x^{3} + x^{2} + 2 (x^{3} - 4 x^{2})$
181572	Solve the System of Inequalities	3x<-12 or 2x+3>=11	$3 x < - 12$ or $2 x + 3 \geq 11$
181573	Solve for x	((2x-1)(x+1))/(x-1)=0	$\frac{(2 x - 1) (x + 1)}{(x - 1)} = 0$
181574	Find the Product	(x-1)(x^2+x+1)	$(x - 1) (x^{2} + x + 1)$
181575	Simplify	(i^3)^5	${(i^{3})}^{5}$
181576	Evaluate	1+4(6p-9)	$1 + 4 (6 p - 9)$
181577	Solve Using the Quadratic Formula	x^2-6x-7=2x	$x^{2} - 6 x - 7 = 2 x$
181578	Graph	-2(2-2x)-4(x+5)<=-24	$- 2 (2 - 2 x) - 4 (x + 5) \leq - 24$
181579	Solve for c	-3-3/4(c-4)=5/4	$- 3 - \frac{3}{4} (c - 4) = \frac{5}{4}$
181580	Solve for θ	sin(theta)^2+sin(theta)=0	$\sin^{2} (θ) + \sin (θ) = 0$
181581	Solve for x	-5+1/x=-6x	$- 5 + \frac{1}{x} = - 6 x$
181582	Solve for t	-22t>66	$- 22 t > 66$
181583	Simplify	-8(x^-3y^4)^-5	$- 8 {(x^{- 3} y^{4})}^{- 5}$
181584	Solve for x	3^(x-4)<1/27	$3^{x - 4} < \frac{1}{27}$
181585	Simplify	(-5a^3-2a^2)+(6a^3+9a^2+8a)	$(- 5 a^{3} - 2 a^{2}) + (6 a^{3} + 9 a^{2} + 8 a)$
181586	Write the Fraction in Simplest Form	(sec(t)-cos(t))/(sin(t))	$\frac{\sec (t) - \cos (t)}{\sin (t)}$
181587	Solve for w	2w-y=7w-2	$2 w - y = 7 w - 2$
181588	Solve for x	8x-6x+4+5=19	$8 x - 6 x + 4 + 5 = 19$
181589	Solve for r	e^(3-3.8r)=57.2	$e^{3 - 3.8 r} = 57.2$
181590	Solve for x	(5+3x)/10-(2(x-1))/8=1	$\frac{5 + 3 x}{10} - \frac{2 (x - 1)}{8} = 1$
181591	Solve the System of Inequalities	4x-4<8 ; AND , 9x+5>23	$4 x - 4 < 8$ ; AND , $9 x + 5 > 23$
181592	Find All Complex Solutions	sin(x)-sin(2x)=0	$\sin (x) - \sin (2 x) = 0$
181593	Solve for x	(6x+4)/2=8	$\frac{6 x + 4}{2} = 8$
181594	Divide	((2x+5)/(3x))÷((2x-1)/(2x+1))	$\frac{2 x + 5}{3 x} \div \frac{2 x - 1}{2 x + 1}$
181595	Graph Using a Table of Values	g(x)=- log base 3 of x	$g (x) = - \log_{3} (x)$
181596	Solve for a	(x^(1/2))^(6/5)=x^a	${(x^{\frac{1}{2}})}^{\frac{6}{5}} = x^{a}$
181597	Complete the Square	3+x=x^2+3x	$3 + x = x^{2} + 3 x$
181598	Simplify	cube root of 10^4x	$\sqrt[3]{10^{4} x}$
181599	Evaluate	83+32^2+8	$8 \cdot 3 + 3 \cdot 2^{2} + 8$
181600	Simplify	(10x^2-40)/(5x^3-35x^2)*(x^4-49x^2)/(x^2+9x+14)	$\frac{10 x^{2} - 40}{5 x^{3} - 35 x^{2}} \cdot \frac{x^{4} - 49 x^{2}}{x^{2} + 9 x + 14}$