Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188001	Solve the Absolute Value Inequality for x	2-5\|5x-5\|=-73	$2 - 5 \| 5 x - 5 \| = - 73$
188002	Graph	f(x)=2 if x<-2; -3x+16 if x>5	$f (x) = {\begin{cases} 2 & x < - 2 \\ - 3 x + 16 & x > 5 \end{cases}$
188003	Solve for v	log base 11 of 2v-8=-4	$\log_{11} (2 v) - 8 = - 4$
188004	Find the Distance Between Two Points	(8,-4) and (3,8)	$(8, - 4)$ and $(3, 8)$
188005	Solve the Inequality for x	x^2-x>=0	$x^{2} - x \geq 0$
188006	Simplify	5/(3-i)+2/(3+i)	$\frac{5}{3 - i} + \frac{2}{3 + i}$
188007	Describe the Transformation	G(x)=f(x+5)	$G (x) = f (x + 5)$
188008	Simplify	(1/x-x)/(5/x+5/(x^2))	$\frac{\frac{1}{x} - x}{\frac{5}{x} + \frac{5}{x^{2}}}$
188009	Solve for x	c=2/5(x-3)	$c = \frac{2}{5} (x - 3)$
188010	Simplify	2-7/(x^2+x-30)	$2 - \frac{7}{x^{2} + x - 30}$
188011	Solve for θ	(tan(theta)+1)(cos(theta)-1)=0	$(\tan (θ) + 1) (\cos (θ) - 1) = 0$
188012	Evaluate	6(1/2)^2	$6 {(\frac{1}{2})}^{2}$
188013	Graph	f(x)=-1 if x<0; 4 if x>=3	$f (x) = {\begin{cases} - 1 & x < 0 \\ 4 & x \geq 3 \end{cases}$
188014	Simplify	b(3+3b)-b(2b-3)	$b (3 + 3 b) - b (2 b - 3)$
188015	Solve for x	((a+b)x)/2=s	$\frac{(a + b) x}{2} = s$
188016	Solve for a	6(a-5)=105	$6 (a - 5) = 105$
188017	Solve the System of Inequalities	-x+4>=3 and -2x+3<9	$- x + 4 \geq 3$ and $- 2 x + 3 < 9$
188018	Simplify	(2i)^7*(-5i^9)^2	${(2 i)}^{7} \cdot {(- 5 i^{9})}^{2}$
188019	Factor	13x^2-42-x^4	$13 x^{2} - 42 - x^{4}$
188020	Simplify	(x^2+y^2)^3	${(x^{2} + y^{2})}^{3}$
188021	Simplify	(3^8)^4	${(3^{8})}^{4}$
188022	Evaluate	(6pi)/(2pi)	$\frac{6 π}{2 π}$
188023	Solve for a	P=a+b+c ; solve for a	$P = a + b + c$ ; solve for $a$
188024	Simplify	(x^2+2x)/(6-x^2)	$\frac{x^{2} + 2 x}{6 - x^{2}}$
188025	Solve the System of Inequalities	5x-19<=1 ; OR , -4x+3<-6	$5 x - 19 \leq 1$ ; OR , $- 4 x + 3 < - 6$
188026	Simplify	(47y^(4a)+3y^(3a)+22y^(2a)+y^a+1)+(37y^(3a)-8y^(2a)+3)	$(47 y^{4 a} + 3 y^{3 a} + 22 y^{2 a} + y^{a} + 1) + (37 y^{3 a} - 8 y^{2 a} + 3)$
188027	Solve for a	-8(a-4)+3a=2(4a+9)+1	$- 8 (a - 4) + 3 a = 2 (4 a + 9) + 1$
188028	Solve for x	8x=-4-4x^2	$8 x = - 4 - 4 x^{2}$
188029	Solve for x	4(1/3)^x=4/27	$4 {(\frac{1}{3})}^{x} = \frac{4}{27}$
188030	Graph	y=- square root of 1/4x+3	$y = - \sqrt{\frac{1}{4} x} + 3$
188031	Combine Like Terms	(2x+5)(2x-5)	$(2 x + 5) (2 x - 5)$
188032	Simplify	12(c-3)+27+c-9c	$12 (c - 3) + 27 + c - 9 c$
188033	Simplify	natural log of e^(3x)	$\ln (e^{3 x})$
188034	Solve for x	5x+6x-81=7x+102+65x	$5 x + 6 x - 81 = 7 x + 102 + 65 x$
188035	Convert to a Decimal	220deg	$220$ degrees
188036	Evaluate	8k-5(-5k+3)	$8 k - 5 (- 5 k + 3)$
188037	Solve for x	\|4x-15\|=\|x\|	$\| 4 x - 15 \| = \| x \|$
188038	Solve for k	x^2-kx+49=0	$x^{2} - k x + 49 = 0$
188039	Write in Standard Form	5x+6y=3x+2	$5 x + 6 y = 3 x + 2$
188040	Simplify	(cos(x)-1)(cos(x)+1)	$(\cos (x) - 1) (\cos (x) + 1)$
188041	Convert to Interval Notation	(x+12)/(x+2)<=2	$\frac{x + 12}{x + 2} \leq 2$
188042	Solve the System of Equations	5x+2y=9 x+y=-3	$5 x + 2 y = 9$ $x + y = - 3$
188043	Solve the Inequality for x	(3x-1)/(1-5x)<=0	$\frac{3 x - 1}{1 - 5 x} \leq 0$
188044	Convert to a Percentage	square root of 9	$\sqrt{9}$
188045	Solve the Inequality for x	(2x+1)/(3x-1)>(2x+5)/(3x+2)	$\frac{2 x + 1}{3 x - 1} > \frac{2 x + 5}{3 x + 2}$
188046	Simplify	(x^2+x)/(x+1)	$\frac{x^{2} + x}{x + 1}$
188047	Solve for x	1/x-1/3=-1/(3x)	$\frac{1}{x} - \frac{1}{3} = - \frac{1}{3 x}$
188048	Solve for x	25^(2x)=5^(x^2-12)	$25^{2 x} = 5^{x^{2} - 12}$
188049	Solve for x	-x=3/2+3/5(-x-1)+5x	$- x = \frac{3}{2} + \frac{3}{5} (- x - 1) + 5 x$
188050	Convert to a Percentage	square root of 10	$\sqrt{10}$
188051	Solve for x	log base x of 3x^2-10x+12=2	$\log_{x} (3 x^{2} - 10 x + 12) = 2$
188052	Solve for x	(x-1)/2-(x-2)/3-(x-3)/4=-(x-5)/5	$\frac{x - 1}{2} - \frac{x - 2}{3} - \frac{x - 3}{4} = - \frac{x - 5}{5}$
188053	Evaluate	(f/g)(-1)	$(\frac{f}{g}) (- 1)$
188054	Solve for y	x=1/(y^2)	$x = \frac{1}{y^{2}}$
188055	Find the Product	(4+i)(4-i)	$(4 + i) (4 - i)$
188056	Graph	f(x) = log base 2 of -x+1	$f (x) = \log_{2} (- x) + 1$
188057	Graph	f(x)=x if x<1; 1 if x>=1	$f (x) = {\begin{cases} x & x < 1 \\ 1 & x \geq 1 \end{cases}$
188058	Factor	1/8x^3-216	$\frac{1}{8} x^{3} - 216$
188059	Graph	f(x)<=-\|x+1\|+1	$f (x) \leq - \| x + 1 \| + 1$
188060	Evaluate	5/9(41-32)	$\frac{5}{9} (41 - 32)$
188061	Solve by Factoring	0=x^2-4x+4	$0 = x^{2} - 4 x + 4$
188062	Solve the System of Equations	x+2y+2z=1 -x-y-4z=3 2x+5y+2z=6	$x + 2 y + 2 z = 1$ $- x - y - 4 z = 3$ $2 x + 5 y + 2 z = 6$
188063	Find the Perpendicular Line	(1,7) and perpendicular to 2x+7y=1	$(1, 7)$ and perpendicular to $2 x + 7 y = 1$
188064	Simplify	(1/x-1/(x^2))/(1/(2x)-1/4)	$\frac{\frac{1}{x} - \frac{1}{x^{2}}}{\frac{1}{2 x} - \frac{1}{4}}$
188065	Solve for m	5-(m-4)=2m+3(m-1)	$5 - (m - 4) = 2 m + 3 (m - 1)$
188066	Evaluate	8-\|2-3.5-5\|	$8 - \| 2 - 3.5 - 5 \|$
188067	Solve the Rational Equation for x	(2+x)/(x-1)=8	$\frac{2 + x}{x - 1} = 8$
188068	Solve for x	e^(2x)=e^x+2	$e^{2 x} = e^{x} + 2$
188069	Solve for a	(x^2)/( square root of x^5)=x^a	$\frac{x^{2}}{\sqrt{x^{5}}} = x^{a}$
188070	Write Using Negative Exponents	1/(3^2)	$\frac{1}{3^{2}}$
188071	Factor	(x^2-49)+(x-7)	$(x^{2} - 49) + (x - 7)$
188072	Solve the Absolute Value Inequality for x	\|x\|<=8	$\| x \| \leq 8$
188073	Factor	(2x^3+7x^2-10x-24)/(x+4)	$\frac{2 x^{3} + 7 x^{2} - 10 x - 24}{x + 4}$
188074	Solve for x	\|x+3\|>-8	$\| x + 3 \| > - 8$
188075	Simplify	(2-18x^2)/(3x^2-8x-3)*(3x^2-7x-6)/(12x^2+80x-28)	$\frac{2 - 18 x^{2}}{3 x^{2} - 8 x - 3} \cdot \frac{3 x^{2} - 7 x - 6}{12 x^{2} + 80 x - 28}$
188076	Solve the Inequality for x	-3(4x-8.2)<-11.98x+14 3/4	$- 3 (4 x - 8.2) < - 11.98 x + 14 \frac{3}{4}$
188077	Evaluate	\|-2^2+-3^2\|	$\| - 2^{2} + - 3^{2} \|$
188078	Solve for x	16=0.80*x	$16 = 0.8 \cdot x$
188079	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+6x=4	$x^{2} + 6 x = 4$
188080	Simplify	((m^2-m-12)/(8m+80))÷((-m^2-8m+48)/(11m+110))	$\frac{m^{2} - m - 12}{8 m + 80} \div \frac{- m^{2} - 8 m + 48}{11 m + 110}$
188081	Solve for x	9^x+3^(1+2x)=40	$9^{x} + 3^{1 + 2 x} = 40$
188082	Solve the Inequality for k	-7k<63	$- 7 k < 63$
188083	Simplify	10*9 square root of 24	$10 \cdot 9 \sqrt{24}$
188084	Find All Complex Solutions	square root of 2x+1+7=x	$\sqrt{2 x + 1} + 7 = x$
188085	Graph	4x=-4x	$4 x = - 4 x$
188086	Solve the System of Equations	2x+z=-5 3x+y=-10 3y-4z=-6	$2 x + z = - 5$ $3 x + y = - 10$ $3 y - 4 z = - 6$
188087	Multiply	(-14/36)(-(6s)/112)	$(- \frac{14}{36}) (- \frac{6 s}{112})$
188088	Simplify	(6y)/(5x^2)+4/(3xy)	$\frac{6 y}{5 x^{2}} + \frac{4}{3 x y}$
188089	Factor	5x^3-x^5+14x	$5 x^{3} - x^{5} + 14 x$
188090	Solve for x	square root of x+3=0	$\sqrt{x + 3} = 0$
188091	Solve for x	y=1/2x^2	$y = \frac{1}{2} x^{2}$
188092	Find the Holes in the Graph	y=(2x^2+5x-3)/(x+3)	$y = \frac{2 x^{2} + 5 x - 3}{x + 3}$
188093	Solve for x	0=x+3	$0 = x + 3$
188094	Subtract	(x^2-3)-(-7x^2+4x+2)	$(x^{2} - 3) - (- 7 x^{2} + 4 x + 2)$
188095	Solve for x	square root of 11-2x = square root of x^2+4x+4	$\sqrt{11 - 2 x} = \sqrt{x^{2} + 4 x + 4}$
188096	Solve for x	(2x)/(x-3)=2+(3x)/(x^2-9)	$\frac{2 x}{x - 3} = 2 + \frac{3 x}{x^{2} - 9}$
188097	Divide	(3x)÷3x	$3 x \div 3 x$
188098	Simplify	(-15k^2)/(15k^3+45k^2)	$\frac{- 15 k^{2}}{15 k^{3} + 45 k^{2}}$
188099	Solve the Rational Equation for b	1/(6b^2)+1/(6b)=1/(b^2)	$\frac{1}{6 b^{2}} + \frac{1}{6 b} = \frac{1}{b^{2}}$
188100	Graph	y>5x and y>=2x+3	$y > 5 x$ and $y \geq 2 x + 3$