Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183401	Solve for b	\|b+3\|>=7	$\| b + 3 \| \geq 7$
183402	Find the Domain and Range	(x)=(1/3)^(-x+1)	$(x) = {(\frac{1}{3})}^{- x + 1}$
183403	Solve the System of Inequalities	1/8x-5<-8 or 7x-4>=38	$\frac{1}{8} x - 5 < - 8$ or $7 x - 4 \geq 38$
183404	Divide	3/41/8	$\frac{3}{4} \cdot \frac{1}{8}$
183405	Evaluate	(2 square root of x)^2	${(2 \sqrt{x})}^{2}$
183406	Solve the Inequality for x	(x+27)/(x+4)<9	$\frac{x + 27}{x + 4} < 9$
183407	Find the Quadratic Equation Given the Roots	2 and 5	$2$ and $5$
183408	Simplify	(x-2)/(x^2+x-6)	$\frac{x - 2}{x^{2} + x - 6}$
183409	Evaluate	7/9+7/8(1/3)^2	$\frac{7}{9} + \frac{7}{8} {(\frac{1}{3})}^{2}$
183410	Evaluate Using the Given Value	4g-12 when g=5	$4 g - 12$ when $g = 5$
183411	Solve the System of Equations	x-y+2z=9 -2x+y+z=-1 2x+2y-z=-5	$x - y + 2 z = 9$ $- 2 x + y + z = - 1$ $2 x + 2 y - z = - 5$
183412	Simplify	-5/4a^2-3/2ab+1/2a^2+5ab-3a^2-1/2ab	$- \frac{5}{4} a^{2} - \frac{3}{2} a b + \frac{1}{2} a^{2} + 5 a b - 3 a^{2} - \frac{1}{2} a b$
183413	Factor	(x^2+12x+36)	$(x^{2} + 12 x + 36)$
183414	Evaluate	(1/2 square root of 3)^2	${(\frac{1}{2} \sqrt{3})}^{2}$
183415	Solve Using the Quadratic Formula	(t+2)^2+(t-3)^2=9	${(t + 2)}^{2} + {(t - 3)}^{2} = 9$
183416	Solve for v	10-16v=-6v^2	$10 - 16 v = - 6 v^{2}$
183417	Graph	(0,1/2)	$(0, \frac{1}{2})$
183418	Solve for x	(x+2)^(x+4)=(x+2)^(x^2+3x+1)	${(x + 2)}^{x + 4} = {(x + 2)}^{x^{2} + 3 x + 1}$
183419	Find the Domain and Range	f(x) = square root of x^2-1	$f (x) = \sqrt{x^{2}} - 1$
183420	Find the Exact Value	sin(pi/4)cos((7pi)/12)+cos(pi/4)sin((7pi)/12)	$\sin (\frac{π}{4}) \cos (\frac{7 π}{12}) + \cos (\frac{π}{4}) \sin (\frac{7 π}{12})$
183421	Find the x and y Intercepts	f(x)=-2x^5-3x^2+2x-3x^4-6x^3	$f (x) = - 2 x^{5} - 3 x^{2} + 2 x - 3 x^{4} - 6 x^{3}$
183422	Simplify	1/( square root of 3+2)	$\frac{1}{\sqrt{3} + 2}$
183423	Graph	0<x	$0 < x$
183424	Evaluate	(2i)^2	${(2 i)}^{2}$
183425	Find the Equation Using Point-Slope Formula	(1,-7) , slope=-1	$(1, - 7)$ , $s l o p e = - 1$
183426	Simplify	(( square root of 3)/2)÷(-1/2)	$\frac{\sqrt{3}}{2} \div (- \frac{1}{2})$
183427	Solve for y	\|y-1\|<=6	$\| y - 1 \| \leq 6$
183428	Graph Using a Table of Values	y=x^2-2x-8	$y = x^{2} - 2 x - 8$
183429	Find u(w(x))	u(x)=x^2+6 w(x) = square root of x+1	$u (x) = x^{2} + 6$ $w (x) = \sqrt{x + 1}$
183430	Graph	y<1/2x+4 y>=-x+1	$y < \frac{1}{2} x + 4$ $y \geq - x + 1$
183431	Solve for x	\|x^3-4x\|=7-x	$\| x^{3} - 4 x \| = 7 - x$
183432	Evaluate	4*180/pi	$4 \cdot \frac{180}{π}$
183433	Graph	f(x)=1/(x(x-2))	$f (x) = \frac{1}{x (x - 2)}$
183434	Simplify	(2x^3)^(1/2)+x^(4/3)-x^-1	${(2 x^{3})}^{\frac{1}{2}} + x^{\frac{4}{3}} - x^{- 1}$
183435	Simplify	( square root of x- square root of y)( square root of x+ square root of y)	$(\sqrt{x} - \sqrt{y}) (\sqrt{x} + \sqrt{y})$
183436	Expand the Logarithmic Expression	log of (z^2)/( cube root of yx^2)	$\log (\frac{z^{2}}{\sqrt[3]{y} x^{2}})$
183437	Solve for x	3\|x+3\|+2>=29	$3 \| x + 3 \| + 2 \geq 29$
183438	Solve the Rational Equation for x	7/x+1/4=9/x	$\frac{7}{x} + \frac{1}{4} = \frac{9}{x}$
183439	Evaluate	6+9(10-2(2+3))	$6 + 9 (10 - 2 (2 + 3))$
183440	Rationalize the Denominator	square root of 12/5	$\sqrt{\frac{12}{5}}$
183441	Simplify	i/(1+i)	$\frac{i}{1 + i}$
183442	Evaluate	5^(x-2)=216	$5^{x - 2} = 216$
183443	Evaluate	(1+0.08/4)	$(1 + \frac{0.08}{4})$
183444	Find the Exact Value	6/2(2+1)	$\frac{6}{2} (2 + 1)$
183445	Simplify	(2q^2-4q)/(4q^2-36)-6/(4q^2-36)	$\frac{2 q^{2} - 4 q}{4 q^{2} - 36} - \frac{6}{4 q^{2} - 36}$
183446	Simplify	5/(n+1)-3/(2(n-1))	$\frac{5}{n + 1} - \frac{3}{2 (n - 1)}$
183447	Write in Standard Form	y=(x+4)(x+3)	$y = (x + 4) (x + 3)$
183448	Graph	9(x-2)^2-16y^2+225=0	$9 {(x - 2)}^{2} - 16 y^{2} + 225 = 0$
183449	Graph	y=1/8*2^x+3	$y = \frac{1}{8} \cdot 2^{x} + 3$
183450	Solve for x	3cos(x)^2-4cos(x)=0	$3 \cos^{2} (x) - 4 \cos (x) = 0$
183451	Determine if Linear	5x^2+ay=2	$5 x^{2} + a y = 2$
183452	Solve for a	(x^(3/2))^6=x^a	${(x^{\frac{3}{2}})}^{6} = x^{a}$
183453	Evaluate	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
183454	Solve for x	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
183455	Simplify	square root of square root of 5	$\sqrt{\sqrt{5}}$
183456	Graph	p(x)=x(x+2)(2x+7)	$p (x) = x (x + 2) (2 x + 7)$
183457	Solve for x	5(2x-6)+2(4x+3)=8x-9	$5 (2 x - 6) + 2 (4 x + 3) = 8 x - 9$
183458	Solve the System of Equations	1/4x-1/2y=3 1/2x-3/5y=-2	$\frac{1}{4} x - \frac{1}{2} y = 3$ $\frac{1}{2} x - \frac{3}{5} y = - 2$
183459	Graph	y=(x^2-4)/(x+2)	$y = \frac{x^{2} - 4}{x + 2}$
183460	Evaluate	-8(2)^(3(0))+3	$- 8 {(2)}^{3 (0)} + 3$
183461	Solve for θ	2cos(theta)^2-sin(theta)=1	$2 \cos^{2} (θ) - \sin (θ) = 1$
183462	Solve for k	2(k+4)=3(k-2)	$2 (k + 4) = 3 (k - 2)$
183463	Graph	f(x)=(x^2-4)/(x^2-4x)	$f (x) = \frac{x^{2} - 4}{x^{2} - 4 x}$
183464	Simplify	-4x+2y+z-3x+2y-2z	$- 4 x + 2 y + z - 3 x + 2 y - 2 z$
183465	Find f(g(x))	f(x)=5x-4 and g(x)=2x^2-3	$f (x) = 5 x - 4$ and $g (x) = 2 x^{2} - 3$
183466	Graph	F(x)=tan(1/2x)	$F (x) = \tan (\frac{1}{2} x)$
183467	Find the Exact Value	i^31	$i^{31}$
183468	Write in Exponential Form	log base 4 of 1/32=-5/2	$\log_{4} (\frac{1}{32}) = - \frac{5}{2}$
183469	Simplify	1+3(r-8)-4(r+4)	$1 + 3 (r - 8) - 4 (r + 4)$
183470	Evaluate Using the Given Value	p/2-5 when p=14	$\frac{p}{2} - 5$ when $p = 14$
183471	Solve for x	2.1=1.01^(x/5-4)+1	$2.1 = {1.01}^{\frac{x}{5} - 4} + 1$
183472	Find the x and y Intercepts	f(x)=(2x^2-5x-12)/(x^2-16)	$f (x) = \frac{2 x^{2} - 5 x - 12}{x^{2} - 16}$
183473	Graph	tan(theta)<0 and sin(theta)<0	$\tan (θ) < 0$ and $\sin (θ) < 0$
183474	Find the x and y Intercepts	(x-5)(-x+4)=y	$(x - 5) (- x + 4) = y$
183475	Solve for a	ax^2-bx-c=0 for a	$a x^{2} - b x - c = 0$ for $a$
183476	Subtract	(-4x^4-2y^3+6z^3+4)-(-9x^4-3y^3+4z^3+9)	$(- 4 x^{4} - 2 y^{3} + 6 z^{3} + 4) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
183477	Solve for x	2/3x-1/2=4/3-x	$\frac{2}{3} x - \frac{1}{2} = \frac{4}{3} - x$
183478	Solve the Inequality for x	10-2(3x+4)<11	$10 - 2 (3 x + 4) < 11$
183479	Solve the System of Equations	6x+5y=2 3x+1/2y=-7	$6 x + 5 y = 2$ $3 x + \frac{1}{2} y = - 7$
183480	Factor	(x^3+x^2-16x-16)	$(x^{3} + x^{2} - 16 x - 16)$
183481	Solve for x	cube root of x-10=-7	$\sqrt[3]{x} - 10 = - 7$
183482	Solve for x	(3x+8)^2-10=-6	${(3 x + 8)}^{2} - 10 = - 6$
183483	Find the Roots (Zeros)	3x^5-2x+1=0	$3 x^{5} - 2 x + 1 = 0$
183484	Divide	(610^8)÷(1.510^-4)	$(6 \times 10^{8}) \div (1.5 \times 10^{- 4})$
183485	Solve Using the Quadratic Formula	(2x-3)^2-(x+5)^2=-23	${(2 x - 3)}^{2} - {(x + 5)}^{2} = - 23$
183486	Find the Axis of Symmetry	(x^2)/9-(y^2)/16=1	$\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$
183487	Graph	(-4,4]	$(- 4, 4]$
183488	Simplify	- square root of 7x^6-x^2 square root of 7x^2	$- \sqrt{7 x^{6}} - x^{2} \sqrt{7 x^{2}}$
183489	Find the x and y Intercepts	f(x)=(2x+5)	$f (x) = (2 x + 5)$
183490	Evaluate	square root of x^2+y^2=x+y	$\sqrt{x^{2} + y^{2}} = x + y$
183491	Find All Complex Solutions	2sin(x)^2+3cos(x)=3	$2 \sin^{2} (x) + 3 \cos (x) = 3$
183492	Solve the Inequality for x	1/(x+1)<2/(3x-1)	$\frac{1}{x + 1} < \frac{2}{3 x - 1}$
183493	Find the Exact Value	log base 1/2 of 16	$\log_{\frac{1}{2}} (16)$
183494	Find the Holes in the Graph	(x^2-25)/(2x^2-17x+35)	$\frac{x^{2} - 25}{2 x^{2} - 17 x + 35}$
183495	Simplify	(-x^2+8x-12)/(x^2-4x-12)	$\frac{- x^{2} + 8 x - 12}{x^{2} - 4 x - 12}$
183496	Solve for x	3x+4-x=5x-10-x	$3 x + 4 - x = 5 x - 10 - x$
183497	Solve for r	78+r=-15	$78 + r = - 15$
183498	Solve for x	1/5(5x-5)+3x=-9(1/3x+4)	$\frac{1}{5} (5 x - 5) + 3 x = - 9 (\frac{1}{3} x + 4)$
183499	Solve for Q	x-3y=4 Qx-6y=8	$x - 3 y = 4$ $Q x - 6 y = 8$
183500	Find the x and y Intercepts	x+2y	$x + 2 y$