Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
165901	Evaluate	(x^(1/2))^2	${(x^{\frac{1}{2}})}^{2}$
165902	Solve for b	a(x+b)=4x+10	$a (x + b) = 4 x + 10$
165903	Solve for x	fourth root of x-4=3	$\sqrt[4]{x - 4} = 3$
165904	Solve the System of Equations	y=2x+1 y=x^2+2x-8	$y = 2 x + 1$ $y = x^{2} + 2 x - 8$
165905	Solve for x	4/x+1/(x^2)=1/(5x^2)	$\frac{4}{x} + \frac{1}{x^{2}} = \frac{1}{5 x^{2}}$
165906	Simplify	fifth root of 4* square root of 2	$\sqrt[5]{4} \cdot \sqrt{2}$
165907	Solve for x	9^(3x-7)=9^(5-x)	$9^{3 x - 7} = 9^{5 - x}$
165908	Solve for q	p/q=r/s	$\frac{p}{q} = \frac{r}{s}$
165909	Find the LCD	(3x)/(2x-10) and 7/(3x-15)	$\frac{3 x}{2 x - 10}$ and $\frac{7}{3 x - 15}$
165910	Graph	x-(5-3x)<=2x-1	$x - (5 - 3 x) \leq 2 x - 1$
165911	Graph	-f(-x)	$- f (- x)$
165912	Solve the Absolute Value Inequality for x	3\|x-3\|=18	$3 \| x - 3 \| = 18$
165913	Rationalize the Denominator	8/( cube root of 2)	$\frac{8}{\sqrt[3]{2}}$
165914	Find the Exact Value	(5^2)(5^8)	$(5^{2}) (5^{8})$
165915	Simplify	8^0*(-4)^2	$8^{0} \cdot {(- 4)}^{2}$
165916	Find the Exact Value	log base 9 of 27	$\log_{9} (27)$
165917	Solve for x	x/(x+1)=x-1	$\frac{x}{x + 1} = x - 1$
165918	Solve for x	18=6(2x-8)	$18 = 6 (2 x - 8)$
165919	Solve for a	6+ax=41	$6 + a x = 41$
165920	Simplify	(3x^2)/(x^2+x+1)-(x^3)/(x^3-1)-(2x)/(x-1)	$\frac{3 x^{2}}{x^{2} + x + 1} - \frac{x^{3}}{x^{3} - 1} - \frac{2 x}{x - 1}$
165921	Solve for y	2.8-y/0.7=1.8	$2.8 - \frac{y}{0.7} = 1.8$
165922	Simplify	(a^(2/3))/(b^(1/3))+(b^(2/3))/(a^(1/3))	$\frac{a^{\frac{2}{3}}}{b^{\frac{1}{3}}} + \frac{b^{\frac{2}{3}}}{a^{\frac{1}{3}}}$
165923	Write in Standard Form	y=(x-1/2)^2+3/2	$y = {(x - \frac{1}{2})}^{2} + \frac{3}{2}$
165924	Simplify	(4x^4y)^2*2x^3y^4	${(4 x^{4} y)}^{2} \cdot 2 x^{3} y^{4}$
165925	Evaluate	15-1/2*2	$15 - \frac{1}{2} \cdot 2$
165926	Find the Exact Value	2sin(15 degrees )cos(15 degrees )	$2 \sin (15 °) \cos (15 °)$
165927	Find the Exact Value	cos(pi/6)^2-sin(pi/6)^2	$\cos^{2} (\frac{π}{6}) - \sin^{2} (\frac{π}{6})$
165928	Simplify	(-10 square root of 3)(7 square root of -10)	$(- 10 \sqrt{3}) (7 \sqrt{- 10})$
165929	Solve the Inequality for k	-10-(-8k-7)>3k-10-4k	$- 10 - (- 8 k - 7) > 3 k - 10 - 4 k$
165930	Solve for x	x/3+12/x=x-2	$\frac{x}{3} + \frac{12}{x} = x - 2$
165931	Factor	a^4-a^2b^2+(b^4)/4	$a^{4} - a^{2} b^{2} + \frac{b^{4}}{4}$
165932	Solve for b	-3.3=b/0.2-2.8	$- 3.3 = \frac{b}{0.2} - 2.8$
165933	Evaluate	(5/16)÷(3/8-2/5)	$\frac{5}{16} \div (\frac{3}{8} - \frac{2}{5})$
165934	Evaluate	(1/2)	$(\frac{1}{2})$
165935	Write in Exponential Form	log of 3x=1/8	$\log (3 x) = \frac{1}{8}$
165936	Find the Product	(m+6)(m-6)	$(m + 6) (m - 6)$
165937	Solve for x	10/(x^2-2x)=5/(x-2)-3/x	$\frac{10}{x^{2} - 2 x} = \frac{5}{x - 2} - \frac{3}{x}$
165938	Solve the Inequality for w	7w+5(-3w-10)<4w+8-4	$7 w + 5 (- 3 w - 10) < 4 w + 8 - 4$
165939	Find the Holes in the Graph	f(x)=(4x^2-4x)/(3x^2+4x-7)	$f (x) = \frac{4 x^{2} - 4 x}{3 x^{2} + 4 x - 7}$
165940	Find the Holes in the Graph	f(x)=(-5x+20)/(2x^2-32)	$f (x) = \frac{- 5 x + 20}{2 x^{2} - 32}$
165941	Solve the Inequality for t	8-(-2t+1)<t+5-7	$8 - (- 2 t + 1) < t + 5 - 7$
165942	Factor	-30x^4y+24xz^3	$- 30 x^{4} y + 24 x z^{3}$
165943	Multiply	-1/2c(4c-2)	$- \frac{1}{2} c (4 c - 2)$
165944	Simplify	(5+n)*3	$(5 + n) \cdot 3$
165945	Combine Like Terms	-5f-7g+f-5g-4+f	$- 5 f - 7 g + f - 5 g - 4 + f$
165946	Solve for m	9(m-3)+3m=7m+43	$9 (m - 3) + 3 m = 7 m + 43$
165947	Evaluate	((x^4)/(7^-8))^-7	${(\frac{x^{4}}{7^{- 8}})}^{- 7}$
165948	Divide	1/3+1/4	$\frac{1}{3} + \frac{1}{4}$
165949	Solve for x	5/6=3/4x+1/3	$\frac{5}{6} = \frac{3}{4} x + \frac{1}{3}$
165950	Graph	g(x)=-3f(x)	$g (x) = - 3 f (x)$
165951	Find the LCD	-1/(x^2-5x-14) and 7/(x^2-16)	$\frac{- 1}{x^{2} - 5 x - 14}$ and $\frac{7}{x^{2} - 16}$
165952	Solve for x	(x+1)/(x-1)=-6/(x+3)+8/(x^2+2x-3)	$\frac{x + 1}{x - 1} = \frac{- 6}{x + 3} + \frac{8}{x^{2} + 2 x - 3}$
165953	Solve for x	cube root of x-5-2=0	$\sqrt[3]{x - 5} - 2 = 0$
165954	Solve for x	(81^(x+7))/(9^(5x-9))=9^(4x+1)	$\frac{81^{x + 7}}{9^{5 x - 9}} = 9^{4 x + 1}$
165955	Solve the System of Equations	p=-2n and p=n^2-3	$p = - 2 n$ and $p = n^{2} - 3$
165956	Evaluate	( log base 9 of m)/( log of m)	$\frac{\log_{9} (m)}{\log (m)}$
165957	Convert to Interval Notation	4x+15>=x+6	$4 x + 15 \geq x + 6$
165958	Solve the Inequality for f	-f-(9f+10)<=6f+7-3	$- f - (9 f + 10) \leq 6 f + 7 - 3$
165959	Graph Using a Table of Values	f(x)=-(2/3)^(-x)	$f (x) = - {(\frac{2}{3})}^{- x}$
165960	Solve for x	2/3x-1/2-3/2x=-2x	$\frac{2}{3} x - \frac{1}{2} - \frac{3}{2} x = - 2 x$
165961	Combine Like Terms	3y-4-6-3x-7y+6x+1	$3 y - 4 - 6 - 3 x - 7 y + 6 x + 1$
165962	Write in Standard Form	4x-7=-5x^2	$4 x - 7 = - 5 x^{2}$
165963	Write in Exponential Form	log base 3x of 2x+1=2	$\log_{3 x} (2 x + 1) = 2$
165964	Multiply	(y^2+6)(-2y^2+7)	$(y^{2} + 6) (- 2 y^{2} + 7)$
165965	Solve for x	1+(4x)/(x-8)=7/(x-8)	$1 + \frac{4 x}{x - 8} = \frac{7}{x - 8}$
165966	Solve for a	s=V_0t+1/2at^2	$s = V_{0} t + \frac{1}{2} a t^{2}$
165967	Solve for c	40.1=c/0.1+3.1	$40.1 = \frac{c}{0.1} + 3.1$
165968	Solve for x	10(2x-4)=100x	$10 (2 x - 4) = 100 x$
165969	Solve for v	-4(v+3)=-12-4v	$- 4 (v + 3) = - 12 - 4 v$
165970	Factor	f(x)=x^6-6x^4-31x^2+36	$f (x) = x^{6} - 6 x^{4} - 31 x^{2} + 36$
165971	Evaluate	cube root of x^6	$\sqrt[3]{x^{6}}$
165972	Graph	y=-2f(x)	$y = - 2 f (x)$
165973	Evaluate	5.6÷(2^3)+(12.75+7.45)	$5.6 \div 2^{3} + (12.75 + 7.45)$
165974	Solve the Inequality for x	22>=x+10>19	$22 \geq x + 10 > 19$
165975	Solve by Substitution	x=16-4y 3x+4y=8	$x = 16 - 4 y$ $3 x + 4 y = 8$
165976	Solve the Inequality for x	(x-3)^2(x+6)>0	${(x - 3)}^{2} (x + 6) > 0$
165977	Simplify	(7x+2)*3+8x	$(7 x + 2) \cdot 3 + 8 x$
165978	Solve for θ	2sin(2theta)=1	$2 \sin (2 θ) = 1$
165979	Solve for x	(3x)/(x+6)-4/x=-x/(x+6)	$\frac{3 x}{x + 6} - \frac{4}{x} = - \frac{x}{x + 6}$
165980	Solve the Inequality for x	(8x+1)(x-7)>=(2x-3)(4x+5)	$(8 x + 1) (x - 7) \geq (2 x - 3) (4 x + 5)$
165981	Solve for B	-q+1/6uB=g	$- q + \frac{1}{6} u B = g$
165982	Find the Perfect Square Trinomial	x^2+36	$x^{2} + 36$
165983	Solve for x	-(6)^(x-1)+5=(2/3)^(2-x)	$- {(6)}^{x - 1} + 5 = {(\frac{2}{3})}^{2 - x}$
165984	Solve for p	(3p)/5+8/5=1	$\frac{3 p}{5} + \frac{8}{5} = 1$
165985	Factor	(x+1)(x-2)+3y(x-2)	$(x + 1) (x - 2) + 3 y (x - 2)$
165986	Simplify	(15-2/x)/(x/5+4)	$\frac{15 - \frac{2}{x}}{\frac{x}{5} + 4}$
165987	Graph	f(x)=x^2 if x<=0; 1/x if x>0	$f (x) = {\begin{cases} x^{2} & x \leq 0 \\ \frac{1}{x} & x > 0 \end{cases}$
165988	Graph	0>3x-3-6	$0 > 3 x - 3 - 6$
165989	Solve for y	5/(y-2)+2=17/6	$\frac{5}{y - 2} + 2 = \frac{17}{6}$
165990	Find the Inverse	f(x)=-(6x)/7	$f (x) = - \frac{6 x}{7}$
165991	Simplify	fourth root of 8x^7y^3* fourth root of 32xy^10	$\sqrt[4]{8 x^{7} y^{3}} \cdot \sqrt[4]{32 x y^{10}}$
165992	Evaluate	1*2^0	$1 \cdot 2^{0}$
165993	Evaluate	(pi/3)÷2	$\frac{π}{3} \div 2$
165994	Factor	3x^2-6x=0	$3 x^{2} - 6 x = 0$
165995	Simplify	(-3 square root of 27)( square root of -81)	$(- 3 \sqrt{27}) (\sqrt{- 81})$
165996	Graph	y=e	$y = e$
165997	Solve for y	(3y-x)/(3-2x)=-4	$\frac{3 y - x}{3 - 2 x} = - 4$
165998	Solve for n	(n+8)/5=(n-1)/2	$\frac{n + 8}{5} = \frac{n - 1}{2}$
165999	Factor	4x^2-0x-9	$4 x^{2} - 0 x - 9$
166000	Subtract	5/6-8/12	$\frac{5}{6} - \frac{8}{12}$