Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
165401	Solve for θ	cot(theta) = square root of 3	$\cot (θ) = \sqrt{3}$
165402	Solve the Inequality for x	x+5>8	$x + 5 > 8$
165403	Solve the Inequality for r	r-4(-5r+6)<=4r+10-9	$r - 4 (- 5 r + 6) \leq 4 r + 10 - 9$
165404	Find the Domain and Range	F(x) = square root of x+7	$F (x) = \sqrt{x} + 7$
165405	Graph Using a Table of Values	f(x) = cube root of x+2	$f (x) = \sqrt[3]{x + 2}$
165406	Find the Function	f(x)=-3x	$f (x) = - 3 x$
165407	Solve for x	x/(x-1)=8/(x+2)	$\frac{x}{x - 1} = \frac{8}{x + 2}$
165408	Simplify	(-11/2x+3)-2(-11/4x-5/2)	$(- \frac{11}{2} x + 3) - 2 (- \frac{11}{4} x - \frac{5}{2})$
165409	Solve for F	c=5/9(F-32) for F	$c = \frac{5}{9} (F - 32)$ for $F$
165410	Solve the Inequality for x	x(2x+7)>=0	$x (2 x + 7) \geq 0$
165411	Graph Using a Table of Values	f(x)=9^x	$f (x) = 9^{x}$
165412	Solve for y	4x+1=9+4y	$4 x + 1 = 9 + 4 y$
165413	Find the Holes in the Graph	f(x)=(5x+25)/(3x^2+16x+5)	$f (x) = \frac{5 x + 25}{3 x^{2} + 16 x + 5}$
165414	Solve for x	x/(2x+1)=4/3	$\frac{x}{2 x + 1} = \frac{4}{3}$
165415	Solve for x	x/(x-5)+3/(x+2)=(7x)/(x^2-3x-10)	$\frac{x}{x - 5} + \frac{3}{x + 2} = \frac{7 x}{x^{2} - 3 x - 10}$
165416	Solve the System of Equations	y=-2x+2 y=-2x-2	$y = - 2 x + 2$ $y = - 2 x - 2$
165417	Simplify	3/(x^2-3x)-4/(x^2-4x+3)	$\frac{3}{x^{2} - 3 x} - \frac{4}{x^{2} - 4 x + 3}$
165418	Solve for y	5x-2=8+5y	$5 x - 2 = 8 + 5 y$
165419	Solve for x	(x-4)/5=9-(2x-41)/9	$\frac{x - 4}{5} = 9 - \frac{2 x - 41}{9}$
165420	Solve for r	3\|3-5r\|-3=18	$3 \| 3 - 5 r \| - 3 = 18$
165421	Graph	x+2y>=2 x-y<=0	$x + 2 y \geq 2$ $x - y \leq 0$
165422	Factor	1+(2b)/3+(b^2)/9	$1 + \frac{2 b}{3} + \frac{b^{2}}{9}$
165423	Solve the Inequality for r	r^2-10r+16<0	$r^{2} - 10 r + 16 < 0$
165424	Find the Product	(2x+y)(2x-y)	$(2 x + y) (2 x - y)$
165425	Solve the System of Inequalities	4x-5<35 and 43<4x-5	$4 x - 5 < 35$ and $43 < 4 x - 5$
165426	Solve for θ	4cos(theta)^2=1	$4 \cos^{2} (θ) = 1$
165427	Multiply	(-4x^5yz^3)(-3xy)(x^6)	$(- 4 x^{5} y z^{3}) (- 3 x y) (x^{6})$
165428	Solve for x	(x+3)/(x-3)+x/(x-5)=(x+5)/(x-5)	$\frac{x + 3}{x - 3} + \frac{x}{x - 5} = \frac{x + 5}{x - 5}$
165429	Simplify	(5ax^2)(a^2x^3)(6ax)	$(5 a x^{2}) (a^{2} x^{3}) (6 a x)$
165430	Solve for x	2/(3x+1)=1/x-(6x)/(3x+1)	$\frac{2}{3 x + 1} = \frac{1}{x} - \frac{6 x}{3 x + 1}$
165431	Solve for r	16-r/7=21	$16 - \frac{r}{7} = 21$
165432	Solve for x	square root of 11-x = square root of x-7	$\sqrt{11 - x} = \sqrt{x - 7}$
165433	Solve for x	6/(x-14)=8/2	$\frac{6}{x - 14} = \frac{8}{2}$
165434	Factor	12ab^3+20b	$12 a b^{3} + 20 b$
165435	Simplify	(a^-4b^-1c)^-2(a^2bc)^2	${(a^{- 4} b^{- 1} c)}^{- 2} {(a^{2} b c)}^{2}$
165436	Graph	y-2=-3/4(x-6)	$y - 2 = - \frac{3}{4} (x - 6)$
165437	Find All Complex Solutions	9e+4=-5e+14+13e	$9 e + 4 = - 5 e + 14 + 13 e$
165438	Simplify	(a^2b^-4)^3(c^3d)^-1	${(a^{2} b^{- 4})}^{3} {(c^{3} d)}^{- 1}$
165439	Simplify	(5y)/((3y^5)^2)	$\frac{5 y}{{(3 y^{5})}^{2}}$
165440	Solve for N	-7+N=20	$- 7 + N = 20$
165441	Multiply	(d^2+3)(d^2+2d+1)	$(d^{2} + 3) (d^{2} + 2 d + 1)$
165442	Solve the System of Equations	x-4y=8 -x+4y=8	$x - 4 y = 8$ $- x + 4 y = 8$
165443	Simplify	((x^2+4x-32)/(x^2+9x+8))÷((x+7)/(x+1))	$\frac{x^{2} + 4 x - 32}{x^{2} + 9 x + 8} \div \frac{x + 7}{x + 1}$
165444	Solve Using the Quadratic Formula	x^2+11x+11=4x	$x^{2} + 11 x + 11 = 4 x$
165445	Simplify	-4x^2+2x-5(1+x)	$- 4 x^{2} + 2 x - 5 (1 + x)$
165446	Solve for x	13=\|12-x\|	$13 = \| 12 - x \|$
165447	Solve for x	(3x)/4-1/5+2x=5/4-(3x)/20	$\frac{3 x}{4} - \frac{1}{5} + 2 x = \frac{5}{4} - \frac{3 x}{20}$
165448	Find the Exact Value	cos(345 degrees )	$\cos (345 °)$
165449	Graph	f(x)=x-1 if x<=3; 2 if x>3	$f (x) = {\begin{cases} x - 1 & x \leq 3 \\ 2 & x > 3 \end{cases}$
165450	Find the LCD	(2x)/(7x-21) and 1/(2x-6)	$\frac{2 x}{7 x - 21}$ and $\frac{1}{2 x - 6}$
165451	Solve for n	-5\|4+n\|<-15	$- 5 \| 4 + n \| < - 15$
165452	Find the x and y Intercepts	(x+3)(-x-2)=y	$(x + 3) (- x - 2) = y$
165453	Evaluate	(2+h)^2	${(2 + h)}^{2}$
165454	Evaluate the Function	f(2)=2^2	$f (2) = 2^{2}$
165455	Solve for b	a-7=3(b+2)	$a - 7 = 3 (b + 2)$
165456	Solve for v	-2(v-2)=-3-2v	$- 2 (v - 2) = - 3 - 2 v$
165457	Solve for y	5(y+1)-7=3(y-1)+2y	$5 (y + 1) - 7 = 3 (y - 1) + 2 y$
165458	Solve the Inequality for x	11+7x>=-17	$11 + 7 x \geq - 17$
165459	Solve for x	48*2^(x/3)=48	$48 \cdot 2^{\frac{x}{3}} = 48$
165460	Solve the System of Equations	y=2x-5 y=x^2-5	$y = 2 x - 5$ $y = x^{2} - 5$
165461	Solve for p	4x^2-9=(px+t)(px-t)	$4 x^{2} - 9 = (p x + t) (p x - t)$
165462	Simplify	(2x+3)/(x-4)-(x-5)/(x+2)	$\frac{2 x + 3}{x - 4} - \frac{x - 5}{x + 2}$
165463	Solve for x	5x=6x^2-3	$5 x = 6 x^{2} - 3$
165464	Write in Exponential Form	log base 2x of x^2+5x-16=7/5	$\log_{2 x} (x^{2} + 5 x - 16) = \frac{7}{5}$
165465	Evaluate	4/(2pi)	$\frac{4}{2 π}$
165466	Solve the Inequality for x	3-2x>5	$3 - 2 x > 5$
165467	Combine Like Terms	6(7-3y)+6(y+1)	$6 (7 - 3 y) + 6 (y + 1)$
165468	Solve for x	-3/10=x/20	$- \frac{3}{10} = \frac{x}{20}$
165469	Simplify	1/3 cube root of 81	$\frac{1}{3} \sqrt[3]{81}$
165470	Simplify	2x^2-4x+3x^2+x-7	$2 x^{2} - 4 x + 3 x^{2} + x - 7$
165471	Solve the Inequality for d	-9d-4(-3d-3)>=6d+6+6d	$- 9 d - 4 (- 3 d - 3) \geq 6 d + 6 + 6 d$
165472	Write Using Positive Exponents	2x^-3	$2 x^{- 3}$
165473	Solve for x	4/(x+1)-6=-(4x)/(x+1)	$\frac{4}{x + 1} - 6 = - \frac{4 x}{x + 1}$
165474	Solve for x	x+2x+7=3x-7	$x + 2 x + 7 = 3 x - 7$
165475	Simplify	(6x+4)/(2x-3)+(3x-9)/(2x-3)	$\frac{6 x + 4}{2 x - 3} + \frac{3 x - 9}{2 x - 3}$
165476	Solve for a	5=\|3a-13\|	$5 = \| 3 a - 13 \|$
165477	Write in Standard Form	F=9/5c+32	$F = \frac{9}{5} c + 32$
165478	Evaluate	sec((5pi)/6)	$\sec (\frac{5 π}{6})$
165479	Combine Like Terms	2(3r+7)-(2+r)	$2 (3 r + 7) - (2 + r)$
165480	Solve for x	-5 = square root of 3x-7	$- 5 = \sqrt{3 x - 7}$
165481	Solve the Inequality for x	(3x+8)/(x-4)>=0	$\frac{3 x + 8}{x - 4} \geq 0$
165482	Solve for b	12=5/2b	$12 = \frac{5}{2} b$
165483	Simplify	(a^4b)^-2(c^-3d)^2	${(a^{4} b)}^{- 2} {(c^{- 3} d)}^{2}$
165484	Find the Midpoint	(7,-12) and (-5,-15)	$(7, - 12)$ and $(- 5, - 15)$
165485	Solve for x	10/(2x+1)+4/3=2	$\frac{10}{2 x + 1} + \frac{4}{3} = 2$
165486	Solve for x	y=5x-2x	$y = 5 x - 2 x$
165487	Simplify	(x^2-4)/(4x^2-12x)*(2x+4)/(-x^2+5x-6)	$\frac{x^{2} - 4}{4 x^{2} - 12 x} \cdot \frac{2 x + 4}{- x^{2} + 5 x - 6}$
165488	Solve for M₂	F_g=(GM_1M_2)/(r^2)	$F_{g} = \frac{G M_{1} M_{2}}{r^{2}}$
165489	Factor	-s^3+3s^2+9s-27	$- s^{3} + 3 s^{2} + 9 s - 27$
165490	Solve the Rational Equation for y	y/9-2/5=1/3	$\frac{y}{9} - \frac{2}{5} = \frac{1}{3}$
165491	Graph	y=-f(x)-1	$y = - f (x) - 1$
165492	Graph	y<=x^2+6x+5	$y \leq x^{2} + 6 x + 5$
165493	Solve for d	a/b=c/d	$\frac{a}{b} = \frac{c}{d}$
165494	Solve for x	(3x+5)/4=x/2	$\frac{3 x + 5}{4} = \frac{x}{2}$
165495	Simplify	-14cd-2c^2d^2+15cd+9c^2d^2-15cd	$- 14 c d - 2 c^{2} d^{2} + 15 c d + 9 c^{2} d^{2} - 15 c d$
165496	Evaluate	1/2(1-0.90)	$\frac{1}{2} (1 - 0.9)$
165497	Solve the Absolute Value Inequality for v	-3\|1-2/3v\|=-9	$- 3 \| 1 - \frac{2}{3} v \| = - 9$
165498	Find the Exact Value	1-1/2	$1 - \frac{1}{2}$
165499	Find the Exact Value	tan(-15 degrees )	$\tan (- 15 °)$
165500	Divide Using Synthetic Division	(2x^3+4x^2-5) by (x+3)	$(2 x^{3} + 4 x^{2} - 5)$ by $(x + 3)$