Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168101	Solve the System of Inequalities	-53<9x+1<-26	$- 53 < 9 x + 1 < - 26$
168102	Solve the Inequality for g	7>=12-g	$7 \geq 12 - g$
168103	Solve for p	p-1/4*3=-5/6	$p - \frac{1}{4} \cdot 3 = - \frac{5}{6}$
168104	Evaluate	( log base b of 8)/( log base b of 2)	$\frac{\log_{b} (8)}{\log_{b} (2)}$
168105	Graph	y=1/2cos(x-(2pi)/3)	$y = \frac{1}{2} \cos (x - \frac{2 π}{3})$
168106	Graph	f(x)=(x^3)/x	$f (x) = \frac{x^{3}}{x}$
168107	Simplify	1/2(2a-6b+8)	$\frac{1}{2} (2 a - 6 b + 8)$
168108	Find All Complex Solutions	theta=(3pi)/4	$θ = \frac{3 π}{4}$
168109	Find the Function	f(x) = square root of x-4	$f (x) = \sqrt{x - 4}$
168110	Solve for b	6=\|-b+5\|	$6 = \| - b + 5 \|$
168111	Solve for x	7^(x-3)=4*5^(x/2)	$7^{x - 3} = 4 \cdot 5^{\frac{x}{2}}$
168112	Solve for f	5-2/5f+3/2f=f-1/2f+4	$5 - \frac{2}{5} f + \frac{3}{2} f = f - \frac{1}{2} f + 4$
168113	Evaluate	66-20-321/4	$6 \cdot 6 - 20 - 32 \cdot \frac{1}{4}$
168114	Simplify	2x^5y*3x^2y	$2 x^{5} y \cdot 3 x^{2} y$
168115	Find the Roots (Zeros)	P(x)=x^3+x^2-x-1	$P (x) = x^{3} + x^{2} - x - 1$
168116	Solve for x	-3(x-4)=9x	$- 3 (x - 4) = 9 x$
168117	Solve for p	a=1/2ap	$a = \frac{1}{2} a p$
168118	Solve for x	-3-6/(x+2)=-x/(x+2)	$- 3 - \frac{6}{x + 2} = - \frac{x}{x + 2}$
168119	Solve the Inequality for x	3x-x^2>0	$3 x - x^{2} > 0$
168120	Simplify	(34x^5y^6z^-7)^0	${(34 x^{5} y^{6} z^{- 7})}^{0}$
168121	Solve the Inequality for x	6x>-24	$6 x > - 24$
168122	Find the Exact Value	e^-2	$e^{- 2}$
168123	Solve for x	-4/(x+5)+6=-(7x)/(x+5)	$- \frac{4}{x + 5} + 6 = - \frac{7 x}{x + 5}$
168124	Simplify	(-15(y^2)^4)/(-5y^3y^2)	$\frac{- 15 {(y^{2})}^{4}}{- 5 y^{3} y^{2}}$
168125	Solve the Absolute Value Inequality for x	\|x\|>9	$\| x \| > 9$
168126	Solve the Inequality for x	-26+13x+2>2-13x	$- 26 + 13 x + 2 > 2 - 13 x$
168127	Graph	y=-f(x-3)-3	$y = - f (x - 3) - 3$
168128	Solve for x	1-(2x)/(x-4)=-6/(x-4)	$1 - \frac{2 x}{x - 4} = - \frac{6}{x - 4}$
168129	Simplify	x-1>-2	$x - 1 > - 2$
168130	Simplify	(2/a)/(6/b)	$\frac{\frac{2}{a}}{\frac{6}{b}}$
168131	Simplify	(x^-8)/(x^4y^4y^-3)	$\frac{x^{- 8}}{x^{4} y^{4} y^{- 3}}$
168132	Simplify	(3^5)/3	$\frac{3^{5}}{3}$
168133	Solve for c	9=\|-c+12\|	$9 = \| - c + 12 \|$
168134	Find the Product	(2A+3B)(2A-3B)	$(2 A + 3 B) (2 A - 3 B)$
168135	Find All Complex Solutions	(tan(theta)-1)(cos(theta)+1)=0	$(\tan (θ) - 1) (\cos (θ) + 1) = 0$
168136	Solve for x	(x-2)/(2x-1)=-2	$\frac{x - 2}{2 x - 1} = - 2$
168137	Graph Using a Table of Values	f(x)=-(4/5)^(-x)	$f (x) = - {(\frac{4}{5})}^{- x}$
168138	Solve for z	square root of z+4+1 = square root of 3z+1	$\sqrt{z + 4} + 1 = \sqrt{3 z + 1}$
168139	Solve for j	-1/4j=2-3/4+1/2j+3/2j	$- \frac{1}{4} j = 2 - \frac{3}{4} + \frac{1}{2} j + \frac{3}{2} j$
168140	Simplify	(y^2+6y+8)-(y^2+y-12)	$(y^{2} + 6 y + 8) - (y^{2} + y - 12)$
168141	Find the Inverse	y=x/2	$y = \frac{x}{2}$
168142	Solve the System of Equations	y=3x 3x+2y=18	$y = 3 x$ $3 x + 2 y = 18$
168143	Solve for x	-3x+2=4^x+2	$- 3 x + 2 = 4^{x} + 2$
168144	Solve for x	4x-c=k for x	$4 x - c = k$ for $x$
168145	Solve Using the Quadratic Formula	x+4	$x + 4$
168146	Describe the Transformation	f(x) = square root of 4(x-2)+7	$f (x) = \sqrt{4 (x - 2)} + 7$
168147	Graph	f(x)=-x(x-3)(x+2)^2	$f (x) = - x (x - 3) {(x + 2)}^{2}$
168148	Solve for b	5=\|-11+b\|	$5 = \| - 11 + b \|$
168149	Solve for x	0=5x^2-2x+6	$0 = 5 x^{2} - 2 x + 6$
168150	Combine Like Terms	-6-5x^2+7x^2-7y^3+y^3+4+2x^2	$- 6 - 5 x^{2} + 7 x^{2} - 7 y^{3} + y^{3} + 4 + 2 x^{2}$
168151	Describe the Transformation	f(x)=(1/2)^x	$f (x) = {(\frac{1}{2})}^{x}$
168152	Simplify	(20x^-3c)/((4x^4)^-5)	$\frac{20 x^{- 3} c}{{(4 x^{4})}^{- 5}}$
168153	Solve for x	3/4(6x+1)-3x=1/4(2x-1)	$\frac{3}{4} (6 x + 1) - 3 x = \frac{1}{4} (2 x - 1)$
168154	Subtract	9/3-8/12	$\frac{9}{3} - \frac{8}{12}$
168155	Solve for q	(q+5/4)^2+7=-18	${(q + \frac{5}{4})}^{2} + 7 = - 18$
168156	Solve the Inequality for x	8x-14<50	$8 x - 14 < 50$
168157	Solve for c	\|11-2c\|=25	$\| 11 - 2 c \| = 25$
168158	Simplify	(4+5i)/(1+i)	$\frac{4 + 5 i}{1 + i}$
168159	Solve for x	\|x-3\|=2x	$\| x - 3 \| = 2 x$
168160	Graph	f^-1(x)=x/2-1/2	$f^{- 1} (x) = \frac{x}{2} - \frac{1}{2}$
168161	Solve the System of Equations	x+y+z=6 x-y+2z=5 x-y-3z=-10	$x + y + z = 6$ $x - y + 2 z = 5$ $x - y - 3 z = - 10$
168162	Graph	y>2x y>3	$y > 2 x$ $y > 3$
168163	Solve the Inequality for x	7x-8<=-15	$7 x - 8 \leq - 15$
168164	Solve the Inequality for x	3x-5<=10	$3 x - 5 \leq 10$
168165	Simplify	-8/6	$\frac{- 8}{6}$
168166	Solve for b	y=3x+b	$y = 3 x + b$
168167	Simplify the Radical Expression	square root of 4x^2	$\sqrt{4 x^{2}}$
168168	Solve for j	3j-5=8+1/2j+1/3j	$3 j - 5 = 8 + \frac{1}{2} j + \frac{1}{3} j$
168169	Graph Using a Table of Values	f(x)=-x+3	$f (x) = - x + 3$
168170	Solve for n	4n^2+7=-29n	$4 n^{2} + 7 = - 29 n$
168171	Divide	(27x^4-18x^3+9x^2)÷3x	$(27 x^{4} - 18 x^{3} + 9 x^{2}) \div 3 x$
168172	Evaluate	(1/2)^-2+3^0	${(\frac{1}{2})}^{- 2} + 3^{0}$
168173	Find the Holes in the Graph	f(x)=(x^3-9x)/(3x^2-6x-9)	$f (x) = \frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
168174	Simplify	(x^8x^-4)/(y^5y^6)	$\frac{x^{8} x^{- 4}}{y^{5} y^{6}}$
168175	Simplify	2+x>4	$2 + x > 4$
168176	Multiply	square root of x*x^2	$\sqrt{x} \cdot x^{2}$
168177	Solve the Inequality for x	(x-8)(x-2)(x+4)<=0	$(x - 8) (x - 2) (x + 4) \leq 0$
168178	Convert to Interval Notation	{x\|x>-1}	${x \| x > - 1}$
168179	Solve the Inequality for x	(x+4)/(x-3)>=0	$\frac{x + 4}{x - 3} \geq 0$
168180	Graph Using a Table of Values	y=2(1/2)^x	$y = 2 {(\frac{1}{2})}^{x}$
168181	Solve the Inequality for x	2x-6>=6(x-2)+8	$2 x - 6 \geq 6 (x - 2) + 8$
168182	Solve for x	3(x+2)+1=x+2(4+x)	$3 (x + 2) + 1 = x + 2 (4 + x)$
168183	Solve the Inequality for m	-2>m/6-7	$- 2 > \frac{m}{6} - 7$
168184	Simplify	(4b^-8)/((-3b^5)^5)	$\frac{4 b^{- 8}}{{(- 3 b^{5})}^{5}}$
168185	Solve for p	p/4+6=8	$\frac{p}{4} + 6 = 8$
168186	Solve for y	-1/4-1/3y=-2/3	$- \frac{1}{4} - \frac{1}{3} y = - \frac{2}{3}$
168187	Solve the Rational Equation for x	6/x+(x-3)/4=2	$\frac{6}{x} + \frac{x - 3}{4} = 2$
168188	Solve for x	100=x^2	$100 = x^{2}$
168189	Combine Like Terms	-7y^2+2y^3-7y+4y^3+6y^2+4y^2+3y	$- 7 y^{2} + 2 y^{3} - 7 y + 4 y^{3} + 6 y^{2} + 4 y^{2} + 3 y$
168190	Simplify	(20+8i)/(4i)	$\frac{20 + 8 i}{4 i}$
168191	Solve for t	7t+3=8+7t	$7 t + 3 = 8 + 7 t$
168192	Graph	3x-y<0	$3 x - y < 0$
168193	Find the Exact Value	(5/2)^2	${(\frac{5}{2})}^{2}$
168194	Simplify	(-2 square root of 20k)(5 square root of 8k^3)	$(- 2 \sqrt{20 k}) (5 \sqrt{8 k^{3}})$
168195	Solve for x	(x+1)/(x-1)=-5/(x+3)+8/(x^2+2x-3)	$\frac{x + 1}{x - 1} = \frac{- 5}{x + 3} + \frac{8}{x^{2} + 2 x - 3}$
168196	Evaluate	3(2)^1	$3 {(2)}^{1}$
168197	Evaluate	3/26-3+5/33	$\frac{3}{2} \cdot 6 - 3 + \frac{5}{3} \cdot 3$
168198	Find the Domain and Range	f^-1(x) = square root of x-2	$f^{- 1} (x) = \sqrt{x - 2}$
168199	Solve the Inequality for x	8/(x+2)<2	$\frac{8}{x + 2} < 2$
168200	Solve for h	limit as h approaches 0 of (f(2+h)-f(2))/h=sin(2)	$lim_{h \to 0} \frac{f (2 + h) - f (2)}{h} = \sin (2)$