Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181801	Graph	y<-2x+3 and y<=3x-2	$y < - 2 x + 3$ and $y \leq 3 x - 2$
181802	Solve the System of Inequalities	-3x-6<=3 or -3x-6<-21	$- 3 x - 6 \leq 3$ or $- 3 x - 6 < - 21$
181803	Solve for x	(2x^2)/5+(5x)/4=10	$\frac{2 x^{2}}{5} + \frac{5 x}{4} = 10$
181804	Find the Midpoint	(8,9) and (4,3)	$(8, 9)$ and $(4, 3)$
181805	Graph Using a Table of Values	y=2x^2+3	$y = 2 x^{2} + 3$
181806	Find f(g(x))	f(x)=x^2 , g(x)=x-1	$f (x) = x^{2}$ , $g (x) = x - 1$
181807	Solve for x	(2(x+7))/(x+4)-2=(2x+20)/(2x+8)	$\frac{2 (x + 7)}{x + 4} - 2 = \frac{2 x + 20}{2 x + 8}$
181808	Simplify	(-4x^3)^(2/3)	${(- 4 x^{3})}^{\frac{2}{3}}$
181809	Solve for k	-10k+64k+62=-46	$- 10 k + 64 k + 62 = - 46$
181810	Solve for x	8x+4+4x=12x+1+3	$8 x + 4 + 4 x = 12 x + 1 + 3$
181811	Evaluate	85^2+6-910	$8 \cdot 5^{2} + 6 - 9 \cdot 10$
181812	Find All Complex Solutions	square root of 2sin(theta)^2-sin(theta)=0	$\sqrt{2} \sin^{2} (θ) - \sin (θ) = 0$
181813	Find the Exact Value	log base 8 of 32	$\log_{8} (32)$
181814	Graph	f(x)=1/(1+x^2)	$f (x) = \frac{1}{1 + x^{2}}$
181815	Solve by Substitution	y=-6x-7 7x+y=-3	$y = - 6 x - 7$ $7 x + y = - 3$
181816	Factor by Grouping	x^2-2xy+y^2	$x^{2} - 2 x y + y^{2}$
181817	Simplify	(1/(x^2)-1)/(3+3/x)	$\frac{\frac{1}{x^{2}} - 1}{3 + \frac{3}{x}}$
181818	Solve the System of Inequalities	-18x+21>-15 ; OR , 20x-13>=27	$- 18 x + 21 > - 15$ ; OR , $20 x - 13 \geq 27$
181819	Graph	y>-5/2x-1 y<1/2x-7	$y > - \frac{5}{2} x - 1$ $y < \frac{1}{2} x - 7$
181820	Solve for p	(5p-8)/2=(7p+4)/6	$\frac{5 p - 8}{2} = \frac{7 p + 4}{6}$
181821	Evaluate	2s+(-4s)	$2 s + (- 4 s)$
181822	Evaluate	2-3(5+2)(5-8)	$2 - 3 (5 + 2) (5 - 8)$
181823	Simplify	1/2+5/6	$\frac{1}{2} + \frac{5}{6}$
181824	Write in Standard Form	f(x)=x^2-10x	$f (x) = x^{2} - 10 x$
181825	Find the Function	f(x)=12	$f (x) = 12$
181826	Convert to Interval Notation	x<=-9 or x>=1	$x \leq - 9$ or $x \geq 1$
181827	Evaluate	pi/4-pi/3	$\frac{π}{4} - \frac{π}{3}$
181828	Evaluate	-9/6+(-3/5)	$- \frac{9}{6} + (- \frac{3}{5})$
181829	Simplify	( square root of 1)/2	$\frac{\sqrt{1}}{2}$
181830	Factor	12-7x^2+x^4	$12 - 7 x^{2} + x^{4}$
181831	Evaluate	x(x-1)	$x (x - 1)$
181832	Find the Quotient	(x^3-x^2-5x-3)÷(x^2+2x+1)	$(x^{3} - x^{2} - 5 x - 3) \div (x^{2} + 2 x + 1)$
181833	Simplify	((x^2+10x+16)/(x^2+6x+8))÷(1/(x+4))	$\frac{x^{2} + 10 x + 16}{x^{2} + 6 x + 8} \div \frac{1}{x + 4}$
181834	Solve the Inequality for x	-5x-3>2(3-x)	$- 5 x - 3 > 2 (3 - x)$
181835	Simplify the Radical Expression	square root of 160	$\sqrt{160}$
181836	Graph	y<=1/4x+7 y<-5/2x-4	$y \leq \frac{1}{4} x + 7$ $y < - \frac{5}{2} x - 4$
181837	Solve for m	-(6m+8)=4(17-m) ?	$- (6 m + 8) = 4 (17 - m)$ ?
181838	Write in Standard Form	y=(x+3)^2	$y = {(x + 3)}^{2}$
181839	Solve the Inequality for x	\|x\|=7	$\| x \| = 7$
181840	Find the x and y Intercepts	(x-1)(x+3)=y	$(x - 1) (x + 3) = y$
181841	Solve for x	2500=790(1.045)^(x/8-5)	$2500 = 790 {(1.045)}^{\frac{x}{8} - 5}$
181842	Find the x and y Intercepts	f(x)=8x^2-3-7x^3-2x	$f (x) = 8 x^{2} - 3 - 7 x^{3} - 2 x$
181843	Factor	-4x^3-12x^3+9x^2	$- 4 x^{3} - 12 x^{3} + 9 x^{2}$
181844	Solve for x	(9x)/(x+1)-9/(x^2+x)=5	$\frac{9 x}{x + 1} - \frac{9}{x^{2} + x} = 5$
181845	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 $h = 7$
181846	Find the Excluded Values	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
181847	Find the Product	(3x^3-9x+7)(x^2-2x+1)	$(3 x^{3} - 9 x + 7) (x^{2} - 2 x + 1)$
181848	Evaluate	18-(3^2)÷3	$18 - 3^{2} \div 3$
181849	Solve for x	(-5x-10)/5-15=-2x+20	$\frac{- 5 x - 10}{5} - 15 = - 2 x + 20$
181850	Simplify	(x^3(x+5))/(x-9)*((x-9)(x+8))/(3x^3)	$\frac{x^{3} (x + 5)}{x - 9} \cdot \frac{(x - 9) (x + 8)}{3 x^{3}}$
181851	Solve for y	2y+1-x=7x	$2 y + 1 - x = 7 x$
181852	Solve for x	\|7-x\|+4=2x+5	$\| 7 - x \| + 4 = 2 x + 5$
181853	Solve for x	-2/5x+3=2/3x+1/3	$- \frac{2}{5} x + 3 = \frac{2}{3} x + \frac{1}{3}$
181854	Solve for n	25^(n-3)=5^(n+8)	$25^{n - 3} = 5^{n + 8}$
181855	Find the Equation Using Two Points	(5,3) and (5,-6)	$(5, 3)$ and $(5, - 6)$
181856	Solve the System of Equations	18x-6y=18 1/2x-1/6y=1/2	$18 x - 6 y = 18$ $\frac{1}{2} x - \frac{1}{6} y = \frac{1}{2}$
181857	Solve the Inequality for x	-2(x+2)<=8	$- 2 (x + 2) \leq 8$
181858	Solve for k	6>2k+4	$6 > 2 k + 4$
181859	Solve for a	x^(1/3)x=x^a	$x^{\frac{1}{3}} x = x^{a}$
181860	Solve for x	(5x+8)^2-8=35	${(5 x + 8)}^{2} - 8 = 35$
181861	Solve for x	(3x)/y=(6g)/b	$\frac{3 x}{y} = \frac{6 g}{b}$
181862	Solve the System of Equations	x=17-4y y=x-2	$x = 17 - 4 y$ $y = x - 2$
181863	Solve for x	3(x-4)+10=13-x	$3 (x - 4) + 10 = 13 - x$
181864	Evaluate	5x=8x-15	$5 x = 8 x - 15$
181865	Write the Fraction in Simplest Form	1/4+1/2	$\frac{1}{4} + \frac{1}{2}$
181866	Graph	[-2,3)	$[- 2, 3)$
181867	Solve for x	(e^4)^x*e^(x^2)=e^12	${(e^{4})}^{x} \cdot e^{x^{2}} = e^{12}$
181868	Solve by Addition/Elimination	3x+2y=2 and -3x+5y=5	$3 x + 2 y = 2$ and $- 3 x + 5 y = 5$
181869	Find the Holes in the Graph	f(x)=(x^2+14x+40)/(9x-15)	$f (x) = \frac{x^{2} + 14 x + 40}{9 x - 15}$
181870	Find the Domain and Range	f(x)=3(x-4)	$f (x) = 3 (x - 4)$
181871	Graph	f(x)=x+5 if x<=-2; -x+4 if x>2	$f (x) = {\begin{cases} x + 5 & x \leq - 2 \\ - x + 4 & x > 2 \end{cases}$
181872	Find the Function	h(t)=-t^2-2t-4	$h (t) = - t^{2} - 2 t - 4$
181873	Simplify	(750/512)^(1/3)	${(\frac{750}{512})}^{\frac{1}{3}}$
181874	Solve for x	2(x-4)+2x=-6x-2	$2 (x - 4) + 2 x = - 6 x - 2$
181875	Simplify	3(3)^2	$3 {(3)}^{2}$
181876	Simplify	(1/x+1/y)/(x/y-y/x)	$\frac{\frac{1}{x} + \frac{1}{y}}{\frac{x}{y} - \frac{y}{x}}$
181877	Solve the System of Equations	x+y=3 2x+y=2	$x + y = 3$ $2 x + y = 2$
181878	Graph Using a Table of Values	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
181879	Solve for a	c=8piab	$c = 8 π a b$
181880	Simplify	(x-2)/(x+1)+(5x-30)/(x^2+7x+6)	$\frac{(x - 2)}{(x + 1)} + \frac{(5 x - 30)}{(x^{2} + 7 x + 6)}$
181881	Solve for x	3(x+4)-2(2+2x)=3(x-6x+12+2)	$3 (x + 4) - 2 (2 + 2 x) = 3 (x - 6 x + 12 + 2)$
181882	Solve for n	6n+9=-3n-21-6	$6 n + 9 = - 3 n - 21 - 6$
181883	Solve for x	-6/(x+2)-8/x=-(2x)/(x+2)	$- \frac{6}{x + 2} - \frac{8}{x} = - \frac{2 x}{x + 2}$
181884	Simplify	(25^(1/2))^3	${(25^{\frac{1}{2}})}^{3}$
181885	Solve Using the Quadratic Formula	x^2+bx+c=0	$x^{2} + b x + c = 0$
181886	Simplify	(6x^4-30x^3)/(6x^2-54x+120)*(x^2-5x+4)/(x^3-8x^2+7x)	$\frac{6 x^{4} - 30 x^{3}}{6 x^{2} - 54 x + 120} \cdot \frac{x^{2} - 5 x + 4}{x^{3} - 8 x^{2} + 7 x}$
181887	Simplify	6/(x^2+4x-32)-(x-5)/(x-4)	$\frac{6}{x^{2} + 4 x - 32} - \frac{x - 5}{x - 4}$
181888	Solve for x	1/4x-2=-6+5/12x	$\frac{1}{4} x - 2 = - 6 + \frac{5}{12} x$
181889	Evaluate	32-(4^2)÷4	$32 - 4^{2} \div 4$
181890	Find the Holes in the Graph	f(x)=(x+9)/(x-8)	$f (x) = \frac{x + 9}{x - 8}$
181891	Graph	(-8,-5)	$(- 8, - 5)$
181892	Write in Standard Form	-7+x^2-5x=-4	$- 7 + x^{2} - 5 x = - 4$
181893	Simplify the Radical Expression	(-125)^(1/3)	${(- 125)}^{\frac{1}{3}}$
181894	Find the Domain and Range	4-x	$4 - x$
181895	Find the Domain and Range	y=x^-5	$y = x^{- 5}$
181896	Subtract	(-x^4+6)-(x^4-6)	$(- x^{4} + 6) - (x^{4} - 6)$
181897	Graph	f(x)=-1/16(x+2)(x-2)^2(x-4)	$f (x) = - \frac{1}{16} (x + 2) {(x - 2)}^{2} (x - 4)$
181898	Factor by Grouping	25+70x+49x^2	$25 + 70 x + 49 x^{2}$
181899	Describe the Transformation	y=-4\|x\|	$y = - 4 \| x \|$
181900	Solve the Rational Equation for x	square root of 2x+19-8=x	$\sqrt{2 x + 19} - 8 = x$