Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172601	Graph Using a Table of Values	y=\|x+1\|	$y = \| x + 1 \|$
172602	Find the Roots (Zeros)	x+3	$x + 3$
172603	Write in Standard Form	(n^2-3n+1)(2n+3)	$(n^{2} - 3 n + 1) (2 n + 3)$
172604	Find the Product	(25x^2+20xy+16y^2)(5x-4y)	$(25 x^{2} + 20 x y + 16 y^{2}) (5 x - 4 y)$
172605	Solve for b	A=1/2h(b_1+b_2) for b_1	$A = \frac{1}{2} h (b_{1} + b_{2})$ for $b_{1}$
172606	Solve Using the Quadratic Formula	x^2+7x=x-10	$x^{2} + 7 x = x - 10$
172607	Solve for x	sec(x)-1=0	$\sec (x) - 1 = 0$
172608	Solve for a	A=1/2(a+b)	$A = \frac{1}{2} (a + b)$
172609	Write as a Single Logarithm	natural log of a- natural log of d- natural log of c	$\ln (a) - \ln (d) - \ln (c)$
172610	Graph	{x\|x>0}	${x \| x > 0}$
172611	Subtract	8/12-4/8	$\frac{8}{12} - \frac{4}{8}$
172612	Simplify	x^2y^2 square root of 63x^2y^6	$x^{2} y^{2} \sqrt{63 x^{2} y^{6}}$
172613	Evaluate	1/2(1)+1	$\frac{1}{2} (1) + 1$
172614	Solve the Inequality for x	4+x>=-3	$4 + x \geq - 3$
172615	Simplify	(15p^-1d^9)/(3(p^2d^3)^-3)	$\frac{15 p^{- 1} d^{9}}{3 {(p^{2} d^{3})}^{- 3}}$
172616	Write in Standard Form	(-x^3-x)+(6x^2+6x-7)	$(- x^{3} - x) + (6 x^{2} + 6 x - 7)$
172617	Simplify	(5n^-7c^4)/(-3(n^-3c^2)^2)	$\frac{5 n^{- 7} c^{4}}{- 3 {(n^{- 3} c^{2})}^{2}}$
172618	Find the x and y Intercepts	(x+3)(x-2)=y	$(x + 3) (x - 2) = y$
172619	Solve for x	sec(x)^2=2	$\sec^{2} (x) = 2$
172620	Factor	216x^4ay-6y^5a	$216 x^{4} a y - 6 y^{5} a$
172621	Find the Holes in the Graph	(x^2-1)/(x-1)	$\frac{x^{2} - 1}{x - 1}$
172622	Simplify	((2u^-5)^-1)/(6b^3)	$\frac{{(2 u^{- 5})}^{- 1}}{6 b^{3}}$
172623	Solve for y	-10x+12i=20+3yi	$- 10 x + 12 i = 20 + 3 y i$
172624	Simplify	(4y^3-0.5y^2)^2	${(4 y^{3} - 0.5 y^{2})}^{2}$
172625	Solve for a	-5\|6a+21\|=-15	$- 5 \| 6 a + 21 \| = - 15$
172626	Find the Roots (Zeros)	(x+2)(x-3)=0	$(x + 2) (x - 3) = 0$
172627	Simplify	(5/(2x+3y))÷(10/(4x^2-9y^2))	$\frac{5}{2 x + 3 y} \div \frac{10}{4 x^{2} - 9 y^{2}}$
172628	Simplify	((6^-4)^-9)/(6^6)	$\frac{{(6^{- 4})}^{- 9}}{6^{6}}$
172629	Solve for k	7k-2>=-9	$7 k - 2 \geq - 9$
172630	Simplify	5x^2+2y-3x-2y	$5 x^{2} + 2 y - 3 x - 2 y$
172631	Simplify	(20y^2h^-1)/((5y^5h^2)^2)	$\frac{20 y^{2} h^{- 1}}{{(5 y^{5} h^{2})}^{2}}$
172632	Find the Inverse	(2x-1)/x	$\frac{2 x - 1}{x}$
172633	Solve for k	9(k-2)=-6	$9 (k - 2) = - 6$
172634	Evaluate	x+1/x	$x + \frac{1}{x}$
172635	Graph Using a Table of Values	y=x^2+2x-1	$y = x^{2} + 2 x - 1$
172636	Simplify	(-2(p^-4y^4)^-3)/(6p^-3y^-1)	$\frac{- 2 {(p^{- 4} y^{4})}^{- 3}}{6 p^{- 3} y^{- 1}}$
172637	Graph Using a Table of Values	f(x)=-3x+2	$f (x) = - 3 x + 2$
172638	Solve for n	-14n+q=rt-4n	$- 14 n + q = r t - 4 n$
172639	Find the Quotient	(-7x^4+20x^2+10+5x^3)÷(-x^2+x+3)	$(- 7 x^{4} + 20 x^{2} + 10 + 5 x^{3}) \div (- x^{2} + x + 3)$
172640	Rationalize the Denominator	( square root of 12)/(4- square root of 3)	$\frac{\sqrt{12}}{4 - \sqrt{3}}$
172641	Subtract	(5x^4-4x^3-2x^2+x-19)-(x^4+5x^3+8x^2+x+5)	$(5 x^{4} - 4 x^{3} - 2 x^{2} + x - 19) - (x^{4} + 5 x^{3} + 8 x^{2} + x + 5)$
172642	Graph	f(x)=2^x , f^-1(x) = log base 2 of x	$f (x) = 2^{x}$ , $f^{- 1} (x) = \log_{2} (x)$
172643	Graph	-2/3x+2=y	$- \frac{2}{3} x + 2 = y$
172644	Solve for n	14=6n+6-2n	$14 = 6 n + 6 - 2 n$
172645	Simplify	(4x^2)/(x^2)	$\frac{4 x^{2}}{x^{2}}$
172646	Convert to Polar	x=6	$x = 6$
172647	Simplify	((-3u^-3h^3)^5)/(12u^-9h^10)	$\frac{{(- 3 u^{- 3} h^{3})}^{5}}{12 u^{- 9} h^{10}}$
172648	Solve for x	square root of x-8=0	$\sqrt{x} - 8 = 0$
172649	Solve the System of Inequalities	2x+8<=10 or 2x+8>20	$2 x + 8 \leq 10$ or $2 x + 8 > 20$
172650	Solve for x	3x-8(2x+3)=-6(2x+5)	$3 x - 8 (2 x + 3) = - 6 (2 x + 5)$
172651	Simplify	square root of -5* square root of 20	$\sqrt{- 5} \cdot \sqrt{20}$
172652	Factor	8x^3-12x^2+6x-1	$8 x^{3} - 12 x^{2} + 6 x - 1$
172653	Solve for n	5/8=n/(n-9)	$\frac{5}{8} = \frac{n}{n - 9}$
172654	Solve the Absolute Value Inequality for x	\|10x-4\|=3	$\| 10 x - 4 \| = 3$
172655	Solve for a	-4(a+2)=a-6(2+a)	$- 4 (a + 2) = a - 6 (2 + a)$
172656	Simplify	limit as x approaches 2 of (x^3-8)/(x-2)	$lim_{x \to 2} \frac{x^{3} - 8}{x - 2}$
172657	Simplify	square root of 64- square root of -289	$\sqrt{64} - \sqrt{- 289}$
172658	Solve the Inequality for c	2c+6>5c-9	$2 c + 6 > 5 c - 9$
172659	Find the Product	(1-3y)^3	${(1 - 3 y)}^{3}$
172660	Solve for z	z-4/9-1/3=5/9	$z - \frac{4}{9} - \frac{1}{3} = \frac{5}{9}$
172661	Divide	((p^2-q^2)/(p+q))÷((p+q)/(p-q))	$\frac{p^{2} - q^{2}}{p + q} \div \frac{p + q}{p - q}$
172662	Graph	f(x)=- cube root of x+2	$f (x) = - \sqrt[3]{x} + 2$
172663	Simplify	8r^2(r^2-2)	$8 r^{2} (r^{2} - 2)$
172664	Find the x and y Intercepts	R(x)=(x^2)/(x^2+x-6)	$R (x) = \frac{x^{2}}{x^{2} + x - 6}$
172665	Solve for a	a/-3-2=6	$\frac{a}{- 3} - 2 = 6$
172666	Solve for x	-2/3x+3/7=1/2	$- \frac{2}{3} x + \frac{3}{7} = \frac{1}{2}$
172667	Factor	5(3x^2+9x)-14	$5 (3 x^{2} + 9 x) - 14$
172668	Simplify	5x-4x^2-1+x-8x^2+7	$5 x - 4 x^{2} - 1 + x - 8 x^{2} + 7$
172669	Simplify	square root of (6+8i)(8i-6)	$\sqrt{(6 + 8 i) (8 i - 6)}$
172670	Solve Using the Quadratic Formula	3(x^2-9)-3=-9	$3 (x^{2} - 9) - 3 = - 9$
172671	Solve for x	13x-22=2(9x+10)	$13 x - 22 = 2 (9 x + 10)$
172672	Simplify	((3t^-4n^-5)^-3)/(4n^3)	$\frac{{(3 t^{- 4} n^{- 5})}^{- 3}}{4 n^{3}}$
172673	Simplify	((6a^2)/(15a+10))÷(5/(15a+10))	$\frac{6 a^{2}}{15 a + 10} \div \frac{5}{15 a + 10}$
172674	Graph	f^-1(x)=x/2+2	$f^{- 1} (x) = \frac{x}{2} + 2$
172675	Solve the Inequality for x	\|x\|<1	$\| x \| < 1$
172676	Solve for x	x/6+(x+5)/2=(5x)/12	$\frac{x}{6} + \frac{x + 5}{2} = \frac{5 x}{12}$
172677	Write in Standard Form	9x=3x^2	$9 x = 3 x^{2}$
172678	Simplify	((2x^2y^2)/(x^3y^3))^2	${(\frac{2 x^{2} y^{2}}{x^{3} y^{3}})}^{2}$
172679	Solve the System of Inequalities	9-2x<=-5 or 1/2x+13<15	$9 - 2 x \leq - 5$ or $\frac{1}{2} x + 13 < 15$
172680	Find the Standard Form of the Parabola	x^2+6x+8y=7	$x^{2} + 6 x + 8 y = 7$
172681	Solve for x	square root of 2x+4=1/2x+1	$\sqrt{2 x + 4} = \frac{1}{2} x + 1$
172682	Write in Standard Form	(8-3a^2)(2a^2+6)	$(8 - 3 a^{2}) (2 a^{2} + 6)$
172683	Simplify	5 square root of 6x+7 square root of 3x-2 square root of 12x	$5 \sqrt{6 x} + 7 \sqrt{3 x} - 2 \sqrt{12 x}$
172684	Simplify	(12a^8)/((3a^-1)^-1)	$\frac{12 a^{8}}{{(3 a^{- 1})}^{- 1}}$
172685	Find the Roots (Zeros)	(t+1)^2+(t-8)^2=45	${(t + 1)}^{2} + {(t - 8)}^{2} = 45$
172686	Factor	x^3y+2x^2y-3xy	$x^{3} y + 2 x^{2} y - 3 x y$
172687	Solve the System of Equations	y=-x^2-4 y=2x-7	$y = - x^{2} - 4$ $y = 2 x - 7$
172688	Evaluate	x^3*x^4	$x^{3} \cdot x^{4}$
172689	Solve Using the Quadratic Formula	x-4	$x - 4$
172690	Simplify	3x^2y^3*4x^3y	$3 x^{2} y^{3} \cdot 4 x^{3} y$
172691	Find the Holes in the Graph	f(x)=(x^2-4)/(2x^2+10x+12)	$f (x) = \frac{x^{2} - 4}{2 x^{2} + 10 x + 12}$
172692	Write in Standard Form	3x-5+6y=0	$3 x - 5 + 6 y = 0$
172693	Solve by Substitution	-2y=x 7x+9y=-45	$- 2 y = x$ $7 x + 9 y = - 45$
172694	Solve for p	60=3/4p	$60 = \frac{3}{4} p$
172695	Solve the Inequality for x	-14>=-2x	$- 14 \geq - 2 x$
172696	Simplify	( cube root of 256)/( cube root of 4)	$\frac{\sqrt[3]{256}}{\sqrt[3]{4}}$
172697	Solve for n	6n-2(4n+7)+4=-2	$6 n - 2 (4 n + 7) + 4 = - 2$
172698	Solve for x	0=-3/2x+3	$0 = - \frac{3}{2} x + 3$
172699	Find the Vertex Form	x^2+4x+2y+y^2=9	$x^{2} + 4 x + 2 y + y^{2} = 9$
172700	Find the x and y Intercepts	x-y^2=-9	$x - y^{2} = - 9$