Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185401	Solve the System of Equations	-3x-y+2z=1 -x+y-z=2 -x-3y+4z=-3	$- 3 x - y + 2 z = 1$ $- x + y - z = 2$ $- x - 3 y + 4 z = - 3$
185402	Solve the Inequality for x	x^2+1<0	$x^{2} + 1 < 0$
185403	Simplify	(x square root of 3)/(2x)	$\frac{x \sqrt{3}}{2 x}$
185404	Evaluate	-3^2+ square root of 4	$- 3^{2} + \sqrt{4}$
185405	Solve the Inequality for x	square root of x^2-3x+2< = square root of x+7	$\sqrt{x^{2} - 3 x + 2} \leq \sqrt{x + 7}$
185406	Write in Standard Form	2x+8=0	$2 x + 8 = 0$
185407	Subtract	-1/3-1/3	$- \frac{1}{3} - \frac{1}{3}$
185408	Describe the Transformation	y=- cube root of x	$y = - \sqrt[3]{x}$
185409	Find the Distance Between Two Points	(0,-1) and (4,3)	$(0, - 1)$ and $(4, 3)$
185410	Solve the Absolute Value Inequality for x	\|x+6\|>7	$\| x + 6 \| > 7$
185411	Solve for x	3(x-1)=2x-3+3x	$3 (x - 1) = 2 x - 3 + 3 x$
185412	Solve for W	2=LW	$2 = L W$
185413	Solve for x	x/(a^2)-3b=2c	$\frac{x}{a^{2}} - 3 b = 2 c$
185414	Simplify	(x^3+2x^2-24x)/(x^2-14x+40)*(x^2-4x-60)/((x+6)^2)	$\frac{x^{3} + 2 x^{2} - 24 x}{x^{2} - 14 x + 40} \cdot \frac{x^{2} - 4 x - 60}{{(x + 6)}^{2}}$
185415	Simplify	f(x)=1/(1-1/(1+1/x))	$f (x) = \frac{1}{1 - \frac{1}{1 + \frac{1}{x}}}$
185416	Graph	x>0 and y<0	$x > 0$ and $y < 0$
185417	Solve for x	3x+2=x+4(x+2)	$3 x + 2 = x + 4 (x + 2)$
185418	Divide	((2x)/(x-1))÷((5x)/(2x+4))	$\frac{2 x}{x - 1} \div \frac{5 x}{2 x + 4}$
185419	Describe the Transformation	f(x)=-1/2(x-5)^2-3	$f (x) = - \frac{1}{2} {(x - 5)}^{2} - 3$
185420	Divide Using Long Polynomial Division	-24x^4+39x^3-18x^2+21x-18 by 3x-3	$- 24 x^{4} + 39 x^{3} - 18 x^{2} + 21 x - 18$ by $3 x - 3$
185421	Solve the Inequality for x	169^x=13^x	$169^{x} = 13^{x}$
185422	Write in Standard Form	(-7x+5)-(2x^2-8x+6)	$(- 7 x + 5) - (2 x^{2} - 8 x + 6)$
185423	Graph	0<2x	$0 < 2 x$
185424	Find the Function	g(x)=3x	$g (x) = 3 x$
185425	Factor	R(x)=(x^2)/(x^2+x-2)	$R (x) = \frac{x^{2}}{x^{2} + x - 2}$
185426	Graph	(negative infinity,-5]	$(- \infty, - 5]$
185427	Find the x and y Intercepts	f(x)=5x^2+2x-3x^4+6x^3	$f (x) = 5 x^{2} + 2 x - 3 x^{4} + 6 x^{3}$
185428	Find the Point-Slope Form	y-3=1/2(x+2)	$y - 3 = \frac{1}{2} (x + 2)$
185429	Multiply	3/(x+2)*7/(2x)	$\frac{3}{x + 2} \cdot \frac{7}{2 x}$
185430	Write in Standard Form	3x(x-2)=12x	$3 x (x - 2) = 12 x$
185431	Solve for θ	3tan(theta)^2-1=0	$3 \tan^{2} (θ) - 1 = 0$
185432	Solve for w	-61=8-1/3(12w+42)-w	$- 61 = 8 - \frac{1}{3} (12 w + 42) - w$
185433	Solve the System of Equations	y=-3/2x-7 y=5/6x+7	$y = - \frac{3}{2} x - 7$ $y = \frac{5}{6} x + 7$
185434	Graph Using a Table of Values	y = square root of x+4	$y = \sqrt{x + 4}$
185435	Graph Using a Table of Values	f(x)=x^2+2x-3	$f (x) = x^{2} + 2 x - 3$
185436	Find g(f(x))	f(x)=x-3 and g(x)=5x^2-3	$f (x) = x - 3$ and $g (x) = 5 x^{2} - 3$
185437	Simplify	((6c)^3)/c	$\frac{{(6 c)}^{3}}{c}$
185438	Graph	y=1/2cos(2x+pi)	$y = \frac{1}{2} \cos (2 x + π)$
185439	Evaluate Using the Given Value	2(x-4)+3x-x^2 for x=3	$2 (x - 4) + 3 x - x^{2}$ for $x = 3$
185440	Solve for a	x=(a+b)/2	$x = \frac{a + b}{2}$
185441	Simplify	(2hx+h^2)/h	$\frac{2 h x + h^{2}}{h}$
185442	Solve for a	x^3 sixth root of x^5=x^a	$x^{3} \sqrt[6]{x^{5}} = x^{a}$
185443	Simplify	-5/2(2x-4y)	$- \frac{5}{2} (2 x - 4 y)$
185444	Factor	f(x)=-x^3+13x-12	$f (x) = - x^{3} + 13 x - 12$
185445	Simplify	(2x+1)+-6/(x-1)	$(2 x + 1) + \frac{- 6}{x - 1}$
185446	Graph	y<=x^2-5	$y \leq x^{2} - 5$
185447	Solve for k	310-(307)=5k	$310 - (30 \times 7) = 5 \times k$
185448	Solve for θ	cos(2theta)=cos(theta)	$\cos (2 θ) = \cos (θ)$
185449	Simplify	(y^2+2y-3)/(y^2-3y-18)*(4y^2-24y)/(2y^2-2y)	$\frac{y^{2} + 2 y - 3}{y^{2} - 3 y - 18} \cdot \frac{4 y^{2} - 24 y}{2 y^{2} - 2 y}$
185450	Factor	x^2-x^4+12	$x^{2} - x^{4} + 12$
185451	Multiply	(9x^3+y^2z)(x^3y^4z)	$(9 x^{3} + y^{2} z) (x^{3} y^{4} z)$
185452	Graph	f^-1(x) = cube root of x+9	$f^{- 1} (x) = \sqrt[3]{x + 9}$
185453	Factor	3ac+6ab-15a	$3 a c + 6 a b - 15 a$
185454	Graph	f(x)=1 if x<=1; 3x-8 if x>4	$f (x) = {\begin{cases} 1 & x \leq 1 \\ 3 x - 8 & x > 4 \end{cases}$
185455	Evaluate	(4^3*(0.6+3.6))÷0.3	$4^{3} \cdot (0.6 + 3.6) \div 0.3$
185456	Multiply	(a^2+a+1)(a^2-a-1)	$(a^{2} + a + 1) (a^{2} - a - 1)$
185457	Simplify	2x(3x^2+4)-3x^2	$2 x (3 x^{2} + 4) - 3 x^{2}$
185458	Evaluate	cube root of 36x^2 square root of 12x square root of 9x^2	$\sqrt[3]{36 x^{2} \sqrt{12 x \sqrt{9 x^{2}}}}$
185459	Solve for a	1/64=16^(2a)	$\frac{1}{64} = 16^{2 a}$
185460	Find the Perfect Square Trinomial	4+4a+a^2	$4 + 4 a + a^{2}$
185461	Factor	81r^2-9s^12	$81 r^{2} - 9 s^{12}$
185462	Solve for θ	12sin(theta)^2-9=0	$12 \sin^{2} (θ) - 9 = 0$
185463	Solve for x	(5(x+1)+4)/6=4	$\frac{5 (x + 1) + 4}{6} = 4$
185464	Evaluate Using the Given Value	-2x^3-3x^2+4 for x=-2	$- 2 x^{3} - 3 x^{2} + 4$ for $x = - 2$
185465	Solve for m	3(m+1.5)=1.5(2m+3)	$3 (m + 1.5) = 1.5 (2 m + 3)$
185466	Find f(g(x))	f(x)=x+1 , g(x)=6x^2-5x-1	$f (x) = x + 1$ , $g (x) = 6 x^{2} - 5 x - 1$
185467	Simplify	((x^2+2x-24)/(x^2-9))÷((x^2-16)/(x+3))	$\frac{x^{2} + 2 x - 24}{x^{2} - 9} \div \frac{x^{2} - 16}{x + 3}$
185468	Evaluate	3(x+h)^2+2(x+h)-4	$3 {(x + h)}^{2} + 2 (x + h) - 4$
185469	Evaluate	36/(13^2-11^2)	$\frac{36}{13^{2} - 11^{2}}$
185470	Find the Domain and Range	f^-1(x)=x/2-1/2	$f^{- 1} (x) = \frac{x}{2} - \frac{1}{2}$
185471	Solve for x	5(2x+1)+4=6(3x+2)+7	$5 (2 x + 1) + 4 = 6 (3 x + 2) + 7$
185472	Graph	1/2sin(x)	$\frac{1}{2} \sin (x)$
185473	Simplify	(7x^-4)(2y^8)(-3x^10)(-5y^-6)	$(7 x^{- 4}) (2 y^{8}) (- 3 x^{10}) (- 5 y^{- 6})$
185474	Simplify	1/2 square root of 2+1/2 square root of 2	$\frac{1}{2} \sqrt{2} + \frac{1}{2} \sqrt{2}$
185475	Solve for t	f(t)=2t-3	$f (t) = 2 t - 3$
185476	Solve the Inequality for a	-2a-5>3	$- 2 a - 5 > 3$
185477	Solve the Absolute Value Inequality for x	\|2x-1\|<=5	$\| 2 x - 1 \| \leq 5$
185478	Simplify	(3/x-x/3)/((x+2)/3-1/x)	$\frac{\frac{3}{x} - \frac{x}{3}}{\frac{x + 2}{3} - \frac{1}{x}}$
185479	Evaluate	1-2sin(pi/8)^2	$1 - 2 \sin^{2} (\frac{π}{8})$
185480	Describe the Transformation	y=f(1/3x)	$y = f (\frac{1}{3} x)$
185481	Simplify	(1-sin(x)^2)^2	${(1 - \sin^{2} (x))}^{2}$
185482	Multiply	pi*10^2	$π \cdot 10^{2}$
185483	Evaluate	5^0+4^1+(-1)^2+(-2)^3	$5^{0} + 4^{1} + {(- 1)}^{2} + {(- 2)}^{3}$
185484	Solve for x	4ax+5ax=6ax+9	$4 a x + 5 a x = 6 a x + 9$
185485	Solve the Absolute Value Inequality for z	3\|z+4\|-13<=-1	$3 \| z + 4 \| - 13 \leq - 1$
185486	Multiply	(a^2+b^2-2ab)(a-b)	$(a^{2} + b^{2} - 2 a b) (a - b)$
185487	Solve the System of Equations	x+2y=13 -x+y=5	$x + 2 y = 13$ $- x + y = 5$
185488	Multiply	(x^2-7)(3x^2-5x-6)	$(x^{2} - 7) (3 x^{2} - 5 x - 6)$
185489	Multiply	(1-x)^3	${(1 - x)}^{3}$
185490	Simplify	square root of (4j^4)/(9k^8)	$\sqrt{\frac{4 j^{4}}{9 k^{8}}}$
185491	Solve the Absolute Value Inequality for x	\|x\|>10	$\| x \| > 10$
185492	Simplify	5 log base 7 of sixth root of 49	$5 \log_{7} (\sqrt[6]{49})$
185493	Graph	x^2>-2x	$x^{2} > - 2 x$
185494	Solve for x	4(0.5x-3)=x-0.25(12-8x)	$4 (0.5 x - 3) = x - 0.25 (12 - 8 x)$
185495	Find the Inverse	f(x)=1/2 cube root of x	$f (x) = \frac{1}{2} \sqrt[3]{x}$
185496	Simplify	((-4r^5s^3)/r)^3	${(\frac{- 4 r^{5} s^{3}}{r})}^{3}$
185497	Solve for x	3/x+5/x=-4	$\frac{3}{x} + \frac{5}{x} = - 4$
185498	Solve the System of Equations	5x-3y-z=1 x+4y-6z=-1 2x+3y+4z=9	$5 x - 3 y - z = 1$ $x + 4 y - 6 z = - 1$ $2 x + 3 y + 4 z = 9$
185499	Solve for p	12p-3c=5a+3c	$12 p - 3 c = 5 a + 3 c$
185500	Solve for r	-7=7r-6r	$- 7 = 7 r - 6 r$