Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195301	Graph	f(x)=x,x<-2; -2,-2<=x<1; x-3,x>=1	$f (x) = {\begin{cases} x, x < - 2 \\ - 2, - 2 \leq x < 1 \\ x - 3, x \geq 1 \end{cases}$
195302	Solve the Absolute Value Inequality for m	\|6m\|=42	$\| 6 m \| = 42$
195303	Find the Equation Using Two Points	f(-10)=4 and f(-2)=4	$f (- 10) = 4$ and $f (- 2) = 4$
195304	Solve the System of Inequalities	-2x-3>=3 or 3x-4>-1	$- 2 x - 3 \geq 3$ or $3 x - 4 > - 1$
195305	Solve the Inequality for x	x(x-5)>=0	$x (x - 5) \geq 0$
195306	Solve for x	2=1/3x+2	$2 = \frac{1}{3} x + 2$
195307	Solve for t	3t-12<=-9	$3 t - 12 \leq - 9$
195308	Solve for x	-(-1/4x-3)-4x=7(3/4x+1)+6	$- (- \frac{1}{4} x - 3) - 4 x = 7 (\frac{3}{4} x + 1) + 6$
195309	Find the End Behavior	f(x)=-1/2x^5	$f (x) = - \frac{1}{2} x^{5}$
195310	Multiply	(2a^2+6)/(5b^3)*(10b^4)/(3a^2+9)	$\frac{2 a^{2} + 6}{5 b^{3}} \cdot \frac{10 b^{4}}{3 a^{2} + 9}$
195311	Solve for x	(2x+7)/(x-1)<=1	$\frac{2 x + 7}{x - 1} \leq 1$
195312	Solve for x	3/4(x-1)+x=1	$\frac{3}{4} (x - 1) + x = 1$
195313	Evaluate	-9/2+1	$- \frac{9}{2} + 1$
195314	Subtract	2-1 1/2	$2 - 1 \frac{1}{2}$
195315	Evaluate	1/2(1)(2)	$\frac{1}{2} (1) (2)$
195316	Convert to Scientific Notation	(910^-5)/(9.2410^-6)	$\frac{9 \times 10^{- 5}}{9.24 \times 10^{- 6}}$
195317	Simplify	(y^2-36)/(8y^2+96y+288)	$\frac{y^{2} - 36}{8 y^{2} + 96 y + 288}$
195318	Solve for u	4(3-u)+u=22+2u	$4 (3 - u) + u = 22 + 2 u$
195319	Find the End Behavior	f(x)=99x-252-9x^2	$f (x) = 99 x - 252 - 9 x^{2}$
195320	Simplify	20÷(4-(10-8))	$20 \div (4 - (10 - 8))$
195321	Simplify	a^2(m-7a^3)-m(a^2-10)	$a^{2} (m - 7 a^{3}) - m (a^{2} - 10)$
195322	Find the Inverse	f(x)=((x+2)/7)^(1/7)	$f (x) = {(\frac{x + 2}{7})}^{\frac{1}{7}}$
195323	Graph	(x+6)/(6-x)<0	$\frac{x + 6}{6 - x} < 0$
195324	Find the LCD	3/(x+10) and 2/(x-10)	$\frac{3}{x + 10}$ and $\frac{2}{x - 10}$
195325	Simplify	(3p-4)/(p^2-4)-(3p-6)/(p^2-4)	$\frac{3 p - 4}{p^{2} - 4} - \frac{3 p - 6}{p^{2} - 4}$
195326	Evaluate	pi/4+1	$\frac{π}{4} + 1$
195327	Find the Parallel Line	(-2,6) and parallel to x+3y=5	$(- 2, 6)$ and parallel to $x + 3 y = 5$
195328	Divide	((5x)/(2x+3))÷((x+1)/(3x))	$\frac{5 x}{2 x + 3} \div \frac{x + 1}{3 x}$
195329	Write in Exponential Form	natural log of 2x-3=3/2	$\ln (2 x - 3) = \frac{3}{2}$
195330	Solve for x	log base 5 of 4x^2-6- log base 5 of 4x+1=1	$\log_{5} (4 x^{2} - 6) - \log_{5} (4 x + 1) = 1$
195331	Find the Parallel Line	(-1,6) and parallel to x+3y=5	$(- 1, 6)$ and parallel to $x + 3 y = 5$
195332	Evaluate	arcsec(-(2 square root of 3)/3)	$arcsec (- \frac{2 \sqrt{3}}{3})$
195333	Solve the Inequality for x	(-x)/3<5	$\frac{- x}{3} < 5$
195334	Find the Function	f(x)=x/2	$f (x) = \frac{x}{2}$
195335	Solve the Inequality for a	a-4<10	$a - 4 < 10$
195336	Simplify	(x-2)/(x-1)+(x-2)/(x-1)	$\frac{x - 2}{x - 1} + \frac{x - 2}{x - 1}$
195337	Find the x and y Intercepts	f(x)=(x^2-100)/(3x^2+30x)	$f (x) = \frac{x^{2} - 100}{3 x^{2} + 30 x}$
195338	Solve for n	20n+100<=320	$20 n + 100 \leq 320$
195339	Solve the System of Inequalities	4x<20 and x+4>=12	$4 x < 20$ and $x + 4 \geq 12$
195340	Find the End Behavior	f(x)=3x^4	$f (x) = 3 x^{4}$
195341	Solve by Factoring	2x^2-50=x^2-1	$2 x^{2} - 50 = x^{2} - 1$
195342	Factor	20a^3-25a^2b+8ab^2-10b^3	$20 a^{3} - 25 a^{2} b + 8 a b^{2} - 10 b^{3}$
195343	Solve for x	f(x)=a^x	$f (x) = a^{x}$
195344	Solve the Inequality for x	(x-3)/(x+1)<1	$\frac{x - 3}{x + 1} < 1$
195345	Simplify	(x^2+3x)^2+3(x^2+3x)	${(x^{2} + 3 x)}^{2} + 3 (x^{2} + 3 x)$
195346	Solve for p	6p+5<=-2p-5	$6 p + 5 \leq - 2 p - 5$
195347	Solve for u	1/(u-4)+3/(u+2)=10/(u^2-2u-8)	$\frac{1}{u - 4} + \frac{3}{u + 2} = \frac{10}{u^{2} - 2 u - 8}$
195348	Solve the Inequality for n	8n-14<=13n+6	$8 n - 14 \leq 13 n + 6$
195349	Solve the Inequality for x	x^3-4x^2<0	$x^{3} - 4 x^{2} < 0$
195350	Graph	f(x)=1 if x<-5; -x if -5<=x<=3; \|x-4\|-7 if x>3	$f (x) = {\begin{cases} 1 & x < - 5 \\ - x & - 5 \leq x \leq 3 \\ \| x - 4 \| - 7 & x > 3 \end{cases}$
195351	Graph	9<=3x	$9 \leq 3 x$
195352	Find the Distance Between Two Points	(-1,-5) and (4,7)	$(- 1, - 5)$ and $(4, 7)$
195353	Graph	y<=3/4x+2 x>=-4	$y \leq \frac{3}{4} x + 2$ $x \geq - 4$
195354	Find the LCD	(5+m)/(8m^4n^2) and (5+n)/(18m^2n^4)	$\frac{5 + m}{8 m^{4} n^{2}}$ and $\frac{5 + n}{18 m^{2} n^{4}}$
195355	Simplify	((a-b)^2)/(a^2-b^2)	$\frac{{(a - b)}^{2}}{a^{2} - b^{2}}$
195356	Factor	5-5x^5+5	$5 - 5 x^{5} + 5$
195357	Find the Product	(3x^(2a)-4y^az^(3a))^2	${(3 x^{2 a} - 4 y^{a} z^{3 a})}^{2}$
195358	Graph Using a Table of Values	g(x)=(1/2)^x-3	$g (x) = {(\frac{1}{2})}^{x} - 3$
195359	Multiply	(y^2-3y)(y^2+3y)	$(y^{2} - 3 y) (y^{2} + 3 y)$
195360	Graph	x , y>=0	$x$ , $y \geq 0$
195361	Solve for θ	cos(theta)^2-sin(theta)^2=-sin(theta)+1	$\cos^{2} (θ) - \sin^{2} (θ) = - \sin (θ) + 1$
195362	Solve the System of Equations	y=-1x-5 4x-8y=4	$y = - 1 x - 5$ $4 x - 8 y = 4$
195363	Write in Standard Form	i^5	$i^{5}$
195364	Solve for x	5cos(2x+3)=sin(2x+3)	$5 \cos (2 x + 3) = \sin (2 x + 3)$
195365	Solve for x	(2x+3)/(x-9)+x/(x-4)=(2x)/(x-4)	$\frac{2 x + 3}{x - 9} + \frac{x}{x - 4} = \frac{2 x}{x - 4}$
195366	Solve the Inequality for a	a/5<1	$\frac{a}{5} < 1$
195367	Find the Exact Value	pi-pi/3	$π - \frac{π}{3}$
195368	Write in Slope-Intercept Form	(-1,3/2) , (4,-1)	$(- 1, \frac{3}{2})$ , $(4, - 1)$
195369	Solve for x	-2(x^2-25)(9x^2-49)=0	$- 2 (x^{2} - 25) (9 x^{2} - 49) = 0$
195370	Solve for x	-2x(10x-3)(x^2+100)=0	$- 2 x (10 x - 3) (x^{2} + 100) = 0$
195371	Find the LCD	(8x)/(x-7) and x/(x-3)	$\frac{8 x}{x - 7}$ and $\frac{x}{x - 3}$
195372	Simplify	( cube root of x^2* square root of x^5)/( sixth root of x)	$\frac{\sqrt[3]{x^{2}} \cdot \sqrt{x^{5}}}{\sqrt[6]{x}}$
195373	Find All Complex Solutions	2cos(theta)-1=sec(theta)	$2 \cos (θ) - 1 = \sec (θ)$
195374	Solve for p	n=(p-k)/j	$n = \frac{p - k}{j}$
195375	Solve for a	(x^5)^(1/4) fourth root of x^3=x^a	${(x^{5})}^{\frac{1}{4}} \sqrt[4]{x^{3}} = x^{a}$
195376	Simplify	(15x-3)/(5x^2-11x+2)+(x-5)/(2x^2-11x+5)	$\frac{15 x - 3}{5 x^{2} - 11 x + 2} + \frac{x - 5}{2 x^{2} - 11 x + 5}$
195377	Simplify	(x(x^2+8x+12))/(-6(x^2-3x-10))	$\frac{x (x^{2} + 8 x + 12)}{- 6 (x^{2} - 3 x - 10)}$
195378	Solve the System of Equations	x=2y-8 4x+y=13	$x = 2 y - 8$ $4 x + y = 13$
195379	Simplify	(ab+4a-6)+(ab+6)	$(a b + 4 a - 6) + (a b + 6)$
195380	Find the Exact Value	natural log of 1/(e^2)	$\ln (\frac{1}{e^{2}})$
195381	Graph	4+x>=-3	$4 + x \geq - 3$
195382	Solve for x	e^(2x)-1=0	$e^{2 x} - 1 = 0$
195383	Solve for x	4x-12=x	$4 x - 12 = x$
195384	Graph	y-6x-1=-3x^2	$y - 6 x - 1 = - 3 x^{2}$
195385	Find the Inverse	y=x/(3x+1)	$y = \frac{x}{3 x + 1}$
195386	Simplify	cube root of 54/2	$\sqrt[3]{\frac{54}{2}}$
195387	Evaluate Using the Given Value	15/k when k=3	$\frac{15}{k}$ when $k = 3$
195388	Simplify	17d-5e+3e-15d	$17 d - 5 e + 3 e - 15 d$
195389	Simplify	((9^3)/(6^3))^(-1/3)	${(\frac{9^{3}}{6^{3}})}^{- \frac{1}{3}}$
195390	Simplify	( square root of 36-4)^3*5	${(\sqrt{36} - 4)}^{3} \cdot 5$
195391	Simplify	(-8x^2+3)+(-9x^2+3x-3)	$(- 8 x^{2} + 3) + (- 9 x^{2} + 3 x - 3)$
195392	Find the Exact Value	csc(theta)-sin(theta)	$\csc (θ) - \sin (θ)$
195393	Solve Using the Quadratic Formula	x^2+2xy+y^2	$x^{2} + 2 x y + y^{2}$
195394	Factor	27mw^3-64m	$27 m w^{3} - 64 m$
195395	Find the LCD	x/(x^2+x)-2/(x+1)	$\frac{x}{x^{2} + x} - \frac{2}{x + 1}$
195396	Simplify	((2x^2+3x+1)/(x^2+2x-15))÷((x^2+6x+5)/(2x^2-7x+3))	$\frac{2 x^{2} + 3 x + 1}{x^{2} + 2 x - 15} \div \frac{x^{2} + 6 x + 5}{2 x^{2} - 7 x + 3}$
195397	Solve for x	x+5-11=-1	$x + 5 - 11 = - 1$
195398	Solve for n	30+n>=50	$30 + n \geq 50$
195399	Graph	f(x)=-x+3 , -3<=x<=3	$f (x) = - x + 3$ , $- 3 \leq x \leq 3$
195400	Solve for b	y=4x+b	$y = 4 x + b$