Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183901	Solve for x	3x+2-5x=14-6x	$3 x + 2 - 5 x = 14 - 6 x$
183902	Graph	x+y=5 x-y=3	$x + y = 5$ $x - y = 3$
183903	Find the x and y Intercepts	f(x)=2x(5x-1)(x-4)	$f (x) = 2 x (5 x - 1) (x - 4)$
183904	Graph	y>=x+2 y>=4-x	$y \geq x + 2$ $y \geq 4 - x$
183905	Find the Inverse	f(x)=( seventh root of x-8)/3	$f (x) = \frac{\sqrt[7]{x} - 8}{3}$
183906	Solve for n	n+(-n)=3+15	$n + (- n) = 3 + 15$
183907	Solve for x	(a-b)x=b-a	$(a - b) x = b - a$
183908	Solve for x	-(2x)/(x-1)+9=-2/(x^2-x)	$- \frac{2 x}{x - 1} + 9 = - \frac{2}{x^{2} - x}$
183909	Find the x and y Intercepts	-4	$- 4$
183910	Simplify	2(a+h)^2	$2 {(a + h)}^{2}$
183911	Find the x and y Intercepts	f(x)=-2x(4x+5)(5x+5)	$f (x) = - 2 x (4 x + 5) (5 x + 5)$
183912	Multiply	2/x*3/(2x-5)	$\frac{2}{x} \cdot \frac{3}{2 x - 5}$
183913	Solve for x	3x=x	$3 x = x$
183914	Multiply	0 , 5^2	$0$ , $5^{2}$
183915	Solve the System of Equations	y=-2x+19 y=x+7	$y = - 2 x + 19$ $y = x + 7$
183916	Solve the System of Equations	3x+4y=3 and 2x-4y=12	$3 x + 4 y = 3$ and $2 x - 4 y = 12$
183917	Simplify	2y2y2y	$2 y \cdot 2 y \cdot 2 y$
183918	Evaluate	(-1)^0-2^1+(-3)^2+(-2)^3	${(- 1)}^{0} - 2^{1} + {(- 3)}^{2} + {(- 2)}^{3}$
183919	Find the x and y Intercepts	y=3(1/2)^x	$y = 3 {(\frac{1}{2})}^{x}$
183920	Solve for x	(2x+9)/5=(7x-5)/6	$\frac{2 x + 9}{5} = \frac{7 x - 5}{6}$
183921	Multiply	(1/x)^2	${(\frac{1}{x})}^{2}$
183922	Write the Fraction in Simplest Form	(2/3)^5*(2/3)^3	${(\frac{2}{3})}^{5} \cdot {(\frac{2}{3})}^{3}$
183923	Graph Using a Table of Values	f(x)=2^(x-4)	$f (x) = 2^{x - 4}$
183924	Solve the System of Equations	-2x+y=-2 3x-2y=4	$- 2 x + y = - 2$ $3 x - 2 y = 4$
183925	Solve for x	3y=2g(x+h)	$3 y = 2 g (x + h)$
183926	Solve for x	\|x-3\|=2x+2	$\| x - 3 \| = 2 x + 2$
183927	Find the Roots (Zeros)	(x-3)(x+2)(x-1)=0	$(x - 3) (x + 2) (x - 1) = 0$
183928	Find f(g(x))	f(x)=2x-4 and g(x)=2x^2-1	$f (x) = 2 x - 4$ and $g (x) = 2 x^{2} - 1$
183929	Subtract	2x^2-4x-3 from x^2-5x-8	$2 x^{2} - 4 x - 3$ from $x^{2} - 5 x - 8$
183930	Solve for x	3/x+3/(x-2)=(3x-3)/(x-2)	$\frac{3}{x} + \frac{3}{x - 2} = \frac{3 x - 3}{x - 2}$
183931	Solve the System of Equations	y=x+8 y=3x	$y = x + 8$ $y = 3 x$
183932	Solve for n	4n+5n+15=5n+7n	$4 n + 5 n + 15 = 5 n + 7 n$
183933	Solve Using the Quadratic Formula	3+x=x^2+3x	$3 + x = x^{2} + 3 x$
183934	Solve for a	( fourth root of x^5)/(x^(1/6))=x^a	$\frac{\sqrt[4]{x^{5}}}{x^{\frac{1}{6}}} = x^{a}$
183935	Find g(f(x))	f(x)=2x , g(x)=x^2+2x-1	$f (x) = 2 x$ , $g (x) = x^{2} + 2 x - 1$
183936	Solve for u	-u/2=9/4	$- \frac{u}{2} = \frac{9}{4}$
183937	Simplify	(y^2-36)/(5y^2-26y-24)	$\frac{y^{2} - 36}{5 y^{2} - 26 y - 24}$
183938	Find the Domain and Range	f(x)=1/( square root of x^2-4)	$f (x) = \frac{1}{\sqrt{x^{2} - 4}}$
183939	Simplify	(a^2-b^2)/(2ab)*(a^2)/(a-b)	$\frac{a^{2} - b^{2}}{2 a b} \cdot \frac{a^{2}}{a - b}$
183940	Solve for a	33a-14a+3a-4a-15a=12	$33 a - 14 a + 3 a - 4 a - 15 a = 12$
183941	Solve the System of Equations	5x+6y=50 x-6y=-26	$5 x + 6 y = 50$ $x - 6 y = - 26$
183942	Graph	f(x)=-x if x<=-5; -2 if x>-1	$f (x) = {\begin{cases} - x & x \leq - 5 \\ - 2 & x > - 1 \end{cases}$
183943	Factor	P(x)=4x^3-7x+3	$P (x) = 4 x^{3} - 7 x + 3$
183944	Solve for n	\|10n+6\|=8n+10	$\| 10 n + 6 \| = 8 n + 10$
183945	Solve for x	(1-4x)/3=2x+3	$\frac{1 - 4 x}{3} = 2 x + 3$
183946	Solve the Inequality for x	-2x-6>x+9	$- 2 x - 6 > x + 9$
183947	Evaluate	2(7-4)+3(1-5)+8	$2 (7 - 4) + 3 (1 - 5) + 8$
183948	Evaluate	2 log base 5 of 12- log base 5 of 8-2 log base 5 of 3	$2 \log_{5} (12) - \log_{5} (8) - 2 \log_{5} (3)$
183949	Solve the Inequality for x	(7-x)/(x+1)>(4-x)/(x+3)	$\frac{7 - x}{x + 1} > \frac{4 - x}{x + 3}$
183950	Find All Complex Solutions	square root of x+6-4=x	$\sqrt{x + 6} - 4 = x$
183951	Solve for x	3^(2 log base 3 of x+1)=16	$3^{2 \log_{3} (x + 1)} = 16$
183952	Solve for x	7x+1/x=-8	$7 x + \frac{1}{x} = - 8$
183953	Find the Midpoint	(4,-10) and (0,0)	$(4, - 10)$ and $(0, 0)$
183954	Determine if Parallel	x=-4 and x=9	$x = - 4$ and $x = 9$
183955	Simplify	(1/9+1/(3x))/((x^2)/9-1)	$\frac{\frac{1}{9} + \frac{1}{3 x}}{\frac{x^{2}}{9} - 1}$
183956	Find the Domain and Range	f(x)=x/4	$f (x) = \frac{x}{4}$
183957	Simplify	(a^3-b^3)/(a^3b^3+a^2b^4+ab^5)	$\frac{a^{3} - b^{3}}{a^{3} b^{3} + a^{2} b^{4} + a b^{5}}$
183958	Simplify	((x+2)/(x-1))÷(3/(2x))	$\frac{x + 2}{x - 1} \div \frac{3}{2 x}$
183959	Simplify	(5x^2)/(x^2)	$\frac{5 x^{2}}{x^{2}}$
183960	Solve for t	6-t=2t	$6 - t = 2 t$
183961	Evaluate	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
183962	Solve for x	12/( square root of x+2)+8=10	$\frac{12}{\sqrt{x + 2}} + 8 = 10$
183963	Solve for a	\|ax+b\|=c	$\| a x + b \| = c$
183964	Graph	y=((x-2)^2)/(x-1)	$y = \frac{{(x - 2)}^{2}}{x - 1}$
183965	Solve for x	f(0)=x/(x^2+1)	$f (0) = \frac{x}{x^{2} + 1}$
183966	Solve the System of Inequalities	y<1/2x+4 y>=-x+1	$y < \frac{1}{2} x + 4$ $y \geq - x + 1$
183967	Solve the Inequality for w	6w+5>2(3w+3)	$6 w + 5 > 2 (3 w + 3)$
183968	Find the Exact Value	(-(5pi)/3)	$(- \frac{5 π}{3})$
183969	Simplify	(8m^4n^3x^2)/(24mn^2x^2)	$\frac{8 m^{4} n^{3} x^{2}}{24 m n^{2} x^{2}}$
183970	Simplify	( square root of cube root of 64)^4	${(\sqrt{\sqrt[3]{64}})}^{4}$
183971	Subtract	10--3	$10 - - 3$
183972	Find the Excluded Values	((x^2-x-6)/(2x^4-6x^3))÷((x+2)/(4x^3))	$\frac{x^{2} - x - 6}{2 x^{4} - 6 x^{3}} \div \frac{x + 2}{4 x^{3}}$
183973	Solve the Inequality for x	100^((3-4x)/(2x+1))<=0.01^((5x-8)/(2x+1))	$100^{\frac{3 - 4 x}{2 x + 1}} \leq {0.01}^{\frac{5 x - 8}{2 x + 1}}$
183974	Simplify	(5-8x)/( square root of -8x+5)	$\frac{(5 - 8 x)}{\sqrt{- 8 x + 5}}$
183975	Convert to Interval Notation	x<=-1 or x>=7	$x \leq - 1$ or $x \geq 7$
183976	Convert to Interval Notation	x<=-8 or x>=10	$x \leq - 8$ or $x \geq 10$
183977	Solve for a	(a-6)/5=7/12	$\frac{a - 6}{5} = \frac{7}{12}$
183978	Factor	2-x^4-x^2	$2 - x^{4} - x^{2}$
183979	Simplify	(-4a^2-3b)+(-2ab-a^2+b^2)+(-b^2+6ab)	$(- 4 a^{2} - 3 b) + (- 2 a b - a^{2} + b^{2}) + (- b^{2} + 6 a b)$
183980	Find the Midpoint	(-3,-3) and (1,2)	$(- 3, - 3)$ and $(1, 2)$
183981	Solve the Inequality for x	x/4-x/2>-3	$\frac{x}{4} - \frac{x}{2} > - 3$
183982	Solve the Inequality for x	(x-2)^2>0	${(x - 2)}^{2} > 0$
183983	Solve the Inequality for x	(x+8)(x-2)^2(x+4)<0	$(x + 8) {(x - 2)}^{2} (x + 4) < 0$
183984	Solve for x	(4x+6)/5=(8x-8)/6	$\frac{4 x + 6}{5} = \frac{8 x - 8}{6}$
183985	Solve for c	p(x)=x^3-4x^2+3x+c	$p (x) = x^{3} - 4 x^{2} + 3 x + c$
183986	Solve the Rational Equation for x	3-2/x=4/x	$3 - \frac{2}{x} = \frac{4}{x}$
183987	Divide	(4/6)÷(2/9)	$\frac{4}{6} \div \frac{2}{9}$
183988	Simplify	((x^2+5x-24)/(2x+2))÷((3x+24)/(x^2-8x-9))	$\frac{x^{2} + 5 x - 24}{2 x + 2} \div \frac{3 x + 24}{x^{2} - 8 x - 9}$
183989	Evaluate	(x^2)^0	${(x^{2})}^{0}$
183990	Factor	a^3b^3-x^3	$a^{3} b^{3} - x^{3}$
183991	Solve for x	(-a+b)x=a-b	$(- a + b) x = a - b$
183992	Solve for G	D=2/9(F+G)	$D = \frac{2}{9} (F + G)$
183993	Solve the Inequality for x	7x+1<4(x-2)	$7 x + 1 < 4 (x - 2)$
183994	Multiply	(2x-3)(x+4)(x-1)	$(2 x - 3) (x + 4) (x - 1)$
183995	Graph	5/8x-1>=9	$\frac{5}{8} x - 1 \geq 9$
183996	Find the Exact Value	1/3-1	$\frac{1}{3} - 1$
183997	Graph	(3,pi/2)	$(3, \frac{π}{2})$
183998	Solve the Inequality for x	x^3-4x^2-x+4>0	$x^{3} - 4 x^{2} - x + 4 > 0$
183999	Simplify	( square root of 12)/( square root of 5)	$\frac{\sqrt{12}}{\sqrt{5}}$
184000	Simplify	((mn^8)/(n^9))^3	${(\frac{m n^{8}}{n^{9}})}^{3}$