Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181801	Factor by Grouping	x^2-2xy+y^2	$x^{2} - 2 x y + y^{2}$
181802	Simplify	(1/(x^2)-1)/(3+3/x)	$\frac{\frac{1}{x^{2}} - 1}{3 + \frac{3}{x}}$
181803	Solve the System of Inequalities	-18x+21>-15 ; OR , 20x-13>=27	$- 18 x + 21 > - 15$ ; OR , $20 x - 13 \geq 27$
181804	Graph	y>-5/2x-1 y<1/2x-7	$y > - \frac{5}{2} x - 1$ $y < \frac{1}{2} x - 7$
181805	Solve for p	(5p-8)/2=(7p+4)/6	$\frac{5 p - 8}{2} = \frac{7 p + 4}{6}$
181806	Evaluate	2s+(-4s)	$2 s + (- 4 s)$
181807	Evaluate	2-3(5+2)(5-8)	$2 - 3 (5 + 2) (5 - 8)$
181808	Simplify	1/2+5/6	$\frac{1}{2} + \frac{5}{6}$
181809	Write in Standard Form	f(x)=x^2-10x	$f (x) = x^{2} - 10 x$
181810	Find the Function	f(x)=12	$f (x) = 12$
181811	Convert to Interval Notation	x<=-9 or x>=1	$x \leq - 9$ or $x \geq 1$
181812	Evaluate	pi/4-pi/3	$\frac{π}{4} - \frac{π}{3}$
181813	Evaluate	-9/6+(-3/5)	$- \frac{9}{6} + (- \frac{3}{5})$
181814	Simplify	( square root of 1)/2	$\frac{\sqrt{1}}{2}$
181815	Factor	12-7x^2+x^4	$12 - 7 x^{2} + x^{4}$
181816	Evaluate	x(x-1)	$x (x - 1)$
181817	Find the Quotient	(x^3-x^2-5x-3)÷(x^2+2x+1)	$(x^{3} - x^{2} - 5 x - 3) \div (x^{2} + 2 x + 1)$
181818	Simplify	((x^2+10x+16)/(x^2+6x+8))÷(1/(x+4))	$\frac{x^{2} + 10 x + 16}{x^{2} + 6 x + 8} \div \frac{1}{x + 4}$
181819	Solve the Inequality for x	-5x-3>2(3-x)	$- 5 x - 3 > 2 (3 - x)$
181820	Simplify the Radical Expression	square root of 160	$\sqrt{160}$
181821	Graph	y<=1/4x+7 y<-5/2x-4	$y \leq \frac{1}{4} x + 7$ $y < - \frac{5}{2} x - 4$
181822	Solve for m	-(6m+8)=4(17-m) ?	$- (6 m + 8) = 4 (17 - m)$ ?
181823	Write in Standard Form	y=(x+3)^2	$y = {(x + 3)}^{2}$
181824	Solve the Inequality for x	\|x\|=7	$\| x \| = 7$
181825	Find the x and y Intercepts	(x-1)(x+3)=y	$(x - 1) (x + 3) = y$
181826	Solve for x	2500=790(1.045)^(x/8-5)	$2500 = 790 {(1.045)}^{\frac{x}{8} - 5}$
181827	Find the x and y Intercepts	f(x)=8x^2-3-7x^3-2x	$f (x) = 8 x^{2} - 3 - 7 x^{3} - 2 x$
181828	Factor	-4x^3-12x^3+9x^2	$- 4 x^{3} - 12 x^{3} + 9 x^{2}$
181829	Solve for x	(9x)/(x+1)-9/(x^2+x)=5	$\frac{9 x}{x + 1} - \frac{9}{x^{2} + x} = 5$
181830	Evaluate Using the Given Value	f^3+11g-4h when f=3 , g=2 and h=7	$f^{3} + 11 g - 4 h$ when $f = 3$ , $g = 2$ and $h = 7$
181831	Find the Excluded Values	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
181832	Find the Product	(3x^3-9x+7)(x^2-2x+1)	$(3 x^{3} - 9 x + 7) (x^{2} - 2 x + 1)$
181833	Evaluate	18-(3^2)÷3	$18 - 3^{2} \div 3$
181834	Solve for x	(-5x-10)/5-15=-2x+20	$\frac{- 5 x - 10}{5} - 15 = - 2 x + 20$
181835	Simplify	(x^3(x+5))/(x-9)*((x-9)(x+8))/(3x^3)	$\frac{x^{3} (x + 5)}{x - 9} \cdot \frac{(x - 9) (x + 8)}{3 x^{3}}$
181836	Solve for y	2y+1-x=7x	$2 y + 1 - x = 7 x$
181837	Solve for x	\|7-x\|+4=2x+5	$\| 7 - x \| + 4 = 2 x + 5$
181838	Solve for x	-2/5x+3=2/3x+1/3	$- \frac{2}{5} x + 3 = \frac{2}{3} x + \frac{1}{3}$
181839	Solve for n	25^(n-3)=5^(n+8)	$25^{n - 3} = 5^{n + 8}$
181840	Find the Equation Using Two Points	(5,3) and (5,-6)	$(5, 3)$ and $(5, - 6)$
181841	Solve the System of Equations	18x-6y=18 1/2x-1/6y=1/2	$18 x - 6 y = 18$ $\frac{1}{2} x - \frac{1}{6} y = \frac{1}{2}$
181842	Solve the Inequality for x	-2(x+2)<=8	$- 2 (x + 2) \leq 8$
181843	Solve for k	6>2k+4	$6 > 2 k + 4$
181844	Solve for a	x^(1/3)x=x^a	$x^{\frac{1}{3}} x = x^{a}$
181845	Solve for x	(5x+8)^2-8=35	${(5 x + 8)}^{2} - 8 = 35$
181846	Solve for x	(3x)/y=(6g)/b	$\frac{3 x}{y} = \frac{6 g}{b}$
181847	Solve the System of Equations	x=17-4y y=x-2	$x = 17 - 4 y$ $y = x - 2$
181848	Solve for x	3(x-4)+10=13-x	$3 (x - 4) + 10 = 13 - x$
181849	Evaluate	5x=8x-15	$5 x = 8 x - 15$
181850	Write the Fraction in Simplest Form	1/4+1/2	$\frac{1}{4} + \frac{1}{2}$
181851	Graph	[-2,3)	$[- 2, 3)$
181852	Solve for x	(e^4)^x*e^(x^2)=e^12	${(e^{4})}^{x} \cdot e^{x^{2}} = e^{12}$
181853	Solve by Addition/Elimination	3x+2y=2 and -3x+5y=5	$3 x + 2 y = 2$ and $- 3 x + 5 y = 5$
181854	Find the Holes in the Graph	f(x)=(x^2+14x+40)/(9x-15)	$f (x) = \frac{x^{2} + 14 x + 40}{9 x - 15}$
181855	Find the Domain and Range	f(x)=3(x-4)	$f (x) = 3 (x - 4)$
181856	Graph	f(x)=x+5 if x<=-2; -x+4 if x>2	$f (x) = {\begin{cases} x + 5 & x \leq - 2 \\ - x + 4 & x > 2 \end{cases}$
181857	Find the Function	h(t)=-t^2-2t-4	$h (t) = - t^{2} - 2 t - 4$
181858	Simplify	(750/512)^(1/3)	${(\frac{750}{512})}^{\frac{1}{3}}$
181859	Solve for x	2(x-4)+2x=-6x-2	$2 (x - 4) + 2 x = - 6 x - 2$
181860	Simplify	3(3)^2	$3 {(3)}^{2}$
181861	Simplify	(1/x+1/y)/(x/y-y/x)	$\frac{\frac{1}{x} + \frac{1}{y}}{\frac{x}{y} - \frac{y}{x}}$
181862	Solve the System of Equations	x+y=3 2x+y=2	$x + y = 3$ $2 x + y = 2$
181863	Graph Using a Table of Values	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
181864	Solve for a	c=8piab	$c = 8 π a b$
181865	Simplify	(x-2)/(x+1)+(5x-30)/(x^2+7x+6)	$\frac{(x - 2)}{(x + 1)} + \frac{(5 x - 30)}{(x^{2} + 7 x + 6)}$
181866	Solve for x	3(x+4)-2(2+2x)=3(x-6x+12+2)	$3 (x + 4) - 2 (2 + 2 x) = 3 (x - 6 x + 12 + 2)$
181867	Solve for n	6n+9=-3n-21-6	$6 n + 9 = - 3 n - 21 - 6$
181868	Solve for x	-6/(x+2)-8/x=-(2x)/(x+2)	$- \frac{6}{x + 2} - \frac{8}{x} = - \frac{2 x}{x + 2}$
181869	Simplify	(25^(1/2))^3	${(25^{\frac{1}{2}})}^{3}$
181870	Solve Using the Quadratic Formula	x^2+bx+c=0	$x^{2} + b x + c = 0$
181871	Simplify	(6x^4-30x^3)/(6x^2-54x+120)*(x^2-5x+4)/(x^3-8x^2+7x)	$\frac{6 x^{4} - 30 x^{3}}{6 x^{2} - 54 x + 120} \cdot \frac{x^{2} - 5 x + 4}{x^{3} - 8 x^{2} + 7 x}$
181872	Simplify	6/(x^2+4x-32)-(x-5)/(x-4)	$\frac{6}{x^{2} + 4 x - 32} - \frac{x - 5}{x - 4}$
181873	Solve for x	1/4x-2=-6+5/12x	$\frac{1}{4} x - 2 = - 6 + \frac{5}{12} x$
181874	Evaluate	32-(4^2)÷4	$32 - 4^{2} \div 4$
181875	Find the Holes in the Graph	f(x)=(x+9)/(x-8)	$f (x) = \frac{x + 9}{x - 8}$
181876	Graph	(-8,-5)	$(- 8, - 5)$
181877	Write in Standard Form	-7+x^2-5x=-4	$- 7 + x^{2} - 5 x = - 4$
181878	Simplify the Radical Expression	(-125)^(1/3)	${(- 125)}^{\frac{1}{3}}$
181879	Find the Domain and Range	4-x	$4 - x$
181880	Find the Domain and Range	y=x^-5	$y = x^{- 5}$
181881	Subtract	(-x^4+6)-(x^4-6)	$(- x^{4} + 6) - (x^{4} - 6)$
181882	Graph	f(x)=-1/16(x+2)(x-2)^2(x-4)	$f (x) = - \frac{1}{16} (x + 2) {(x - 2)}^{2} (x - 4)$
181883	Factor by Grouping	25+70x+49x^2	$25 + 70 x + 49 x^{2}$
181884	Describe the Transformation	y=-4\|x\|	$y = - 4 \| x \|$
181885	Solve the Rational Equation for x	square root of 2x+19-8=x	$\sqrt{2 x + 19} - 8 = x$
181886	Solve the System of Equations	2x+y+z=-3 3x-5y+3z=-4 5x-y+2z=-2	$2 x + y + z = - 3$ $3 x - 5 y + 3 z = - 4$ $5 x - y + 2 z = - 2$
181887	Find the x and y Intercepts	f(x)=-2(x^2+3)(2x-4)(3x+1)^2	$f (x) = - 2 (x^{2} + 3) (2 x - 4) {(3 x + 1)}^{2}$
181888	Find the Exact Value	cube root of 1/8	$\sqrt[3]{\frac{1}{8}}$
181889	Simplify	(18ab)/(6b)	$\frac{18 a b}{6 b}$
181890	Write in Standard Form	-2x+8=-9x^2	$- 2 x + 8 = - 9 x^{2}$
181891	Find the x and y Intercepts	f(x)=-(x+3)(x+2)(x-1)	$f (x) = - (x + 3) (x + 2) (x - 1)$
181892	Solve for x	square root of 7-2x- square root of 5+x = square root of 4+3x	$\sqrt{7 - 2 x} - \sqrt{5 + x} = \sqrt{4 + 3 x}$
181893	Write in Exponential Form	(8^-8)(8^3)	$(8^{- 8}) (8^{3})$
181894	Factor	(x^2-6x)^2+(x^2-6x)-56	${(x^{2} - 6 x)}^{2} + (x^{2} - 6 x) - 56$
181895	Simplify	(4x-3)/(x^2-9)-(2x-3)/(x-3)	$\frac{4 x - 3}{x^{2} - 9} - \frac{2 x - 3}{x - 3}$
181896	Graph	f(x)=5^x , f^-1(x) = log base 5 of x	$f (x) = 5^{x}$ , $f^{- 1} (x) = \log_{5} (x)$
181897	Graph	y<=-x^2+4	$y \leq - x^{2} + 4$
181898	Solve for q	-13(q+4)=7q+16	$- 13 (q + 4) = 7 q + 16$
181899	Find the Holes in the Graph	f(x)=(x-6)/(5x+9)	$f (x) = \frac{x - 6}{5 x + 9}$
181900	Find the GCF	12a^3b+4a-8a^2b	$12 a^{3} b + 4 a - 8 a^{2} b$