Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177201	Graph	y=-3/2\|x-3\|+2	$y = - \frac{3}{2} \| x - 3 \| + 2$
177202	Graph	y>-1/2x+4 y<5/2x-2	$y > - \frac{1}{2} x + 4$ $y < \frac{5}{2} x - 2$
177203	Find the Exact Value	1/(-( square root of 3)/2)	$\frac{1}{- \frac{\sqrt{3}}{2}}$
177204	Solve for x	-36+3x=4x-4(3x-2)	$- 36 + 3 x = 4 x - 4 (3 x - 2)$
177205	Solve for t	h(t)=-16t^2+64	$h (t) = - 16 t^{2} + 64$
177206	Solve for x	(x-30/x)^2-6(x-30/x)-7=0	${(x - \frac{30}{x})}^{2} - 6 (x - \frac{30}{x}) - 7 = 0$
177207	Factor	4x^2-4x+1=0	$4 x^{2} - 4 x + 1 = 0$
177208	Find the Axis of Symmetry	y=(x-1)^2	$y = {(x - 1)}^{2}$
177209	Graph	y=-(3x)^2+1	$y = - {(3 x)}^{2} + 1$
177210	Solve for x	1/6x^3=-36	$\frac{1}{6} x^{3} = - 36$
177211	Find the x and y Intercepts	f(x)=(x^3-4x^2+3x)/(x^3-x)	$f (x) = \frac{x^{3} - 4 x^{2} + 3 x}{x^{3} - x}$
177212	Find the Roots (Zeros)	f(x)=(x(x+7)(x+2))/((x-4)(x+4))	$f (x) = \frac{x (x + 7) (x + 2)}{(x - 4) (x + 4)}$
177213	Find the x and y Intercepts	f(x)=-(x+2)^2(x-1)^2	$f (x) = - {(x + 2)}^{2} {(x - 1)}^{2}$
177214	Graph	-3<=p/2<0	$- 3 \leq \frac{p}{2} < 0$
177215	Simplify	-2(3a^2+a-2b)+9(a+4b)+6a^2	$- 2 (3 a^{2} + a - 2 b) + 9 (a + 4 b) + 6 a^{2}$
177216	Find the x and y Intercepts	F(x)=3*4^x	$F (x) = 3 \cdot 4^{x}$
177217	Evaluate	1-4-3+8(-3)	$1 - 4 \times - 3 + 8 \times (- 3)$
177218	Solve for p	p/2-9=1	$\frac{p}{2} - 9 = 1$
177219	Solve for s	(5s+8)/7=4	$\frac{5 s + 8}{7} = 4$
177220	Simplify	( square root of 1-x)^2	${(\sqrt{1 - x})}^{2}$
177221	Solve for d	-2/9d=4	$- \frac{2}{9} d = 4$
177222	Divide	8 5/6÷2 1/4	$8 \frac{5}{6} \div 2 \frac{1}{4}$
177223	Solve for x	2(12x+8x)=12x+168	$2 (12 x + 8 x) = 12 x + 168$
177224	Solve for y	2/5x+y=7	$\frac{2}{5} x + y = 7$
177225	Expand the Logarithmic Expression	log of (y^2)/( cube root of xz^4)	$\log (\frac{y^{2}}{\sqrt[3]{x} z^{4}})$
177226	Graph	x=-y^2+1	$x = - y^{2} + 1$
177227	Determine if Perpendicular	5x+3y=3 and 3x+5y=-25	$5 x + 3 y = 3$ and $3 x + 5 y = - 25$
177228	Convert to a Decimal	-45deg	$- 45$ degrees
177229	Evaluate	4pi(1)^2	$4 π {(1)}^{2}$
177230	Graph Using a Table of Values	y=x^2-2x+1	$y = x^{2} - 2 x + 1$
177231	Solve for q	4q^2-2q=-65	$4 q^{2} - 2 q = - 65$
177232	Multiply	(x-3)/(x+5)*(3x)/(x-5)	$\frac{x - 3}{x + 5} \cdot \frac{3 x}{x - 5}$
177233	Solve for x	2/(x-6)+7/(x+2)=(4x+2)/(x^2-4x-12)	$\frac{2}{x - 6} + \frac{7}{x + 2} = \frac{4 x + 2}{x^{2} - 4 x - 12}$
177234	Solve the System of Inequalities	11<-2x-3 or -21>=-2x-3	$11 < - 2 x - 3$ or $- 21 \geq - 2 x - 3$
177235	Evaluate	6-(-5)+2+(-4)	$6 - (- 5) + 2 + (- 4)$
177236	Solve for b	a=(h(a+b))/2	$a = \frac{h (a + b)}{2}$
177237	Solve the Inequality for x	(x-1)/(x+1)>=0	$\frac{x - 1}{x + 1} \geq 0$
177238	Evaluate	1/(2(16)^(1/2))	$\frac{1}{2 {(16)}^{\frac{1}{2}}}$
177239	Evaluate the Difference Quotient	f(x)=x^3+3x , (f(x+h)-f(x))/h , h!=0	$f (x) = x^{3} + 3 x$ , $\frac{f (x + h) - f (x)}{h}$ , $h \neq 0$
177240	Find the First Term	3n-4	$3 n - 4$
177241	Simplify	(x^2+5x-36)/(x^2-49)*(x^2-11x+28)	$\frac{x^{2} + 5 x - 36}{x^{2} - 49} \cdot (x^{2} - 11 x + 28)$
177242	Simplify	x^3y^3 square root of 4x^3y^3	$x^{3} y^{3} \sqrt{4 x^{3} y^{3}}$
177243	Simplify	(2x+1)/(x-3)+x/(x-3)+4/(x-3)	$\frac{2 x + 1}{x - 3} + \frac{x}{x - 3} + \frac{4}{x - 3}$
177244	Simplify	4x^3 square root of 12x^2y^7	$4 x^{3} \sqrt{12 x^{2} y^{7}}$
177245	Write in Slope-Intercept Form	y+4=-1/2(x-2)	$y + 4 = - \frac{1}{2} (x - 2)$
177246	Evaluate	pi/6-pi/4	$\frac{π}{6} - \frac{π}{4}$
177247	Simplify	(x^3)^-3(-2y^5)^4	${(x^{3})}^{- 3} {(- 2 y^{5})}^{4}$
177248	Solve for m	15=5(1-m)-2(1-m)	$15 = 5 (1 - m) - 2 (1 - m)$
177249	Find the Quotient	(x^3+5x^2-7x+2)÷(x-2)	$(x^{3} + 5 x^{2} - 7 x + 2) \div (x - 2)$
177250	Simplify the Radical Expression	(3 square root of y)^2	${(3 \sqrt{y})}^{2}$
177251	Graph	f(x)>=4x^2-7	$f (x) \geq 4 x^{2} - 7$
177252	Simplify	( square root of x+1)÷( square root of 4-x)	$\sqrt{x + 1} \div \sqrt{4 - x}$
177253	Graph	x+y<4 2x-3y>=12	$x + y < 4$ $2 x - 3 y \geq 12$
177254	Solve the Inequality for x	x^3-36x>=0	$x^{3} - 36 x \geq 0$
177255	Simplify	(9x^4y^6)^(3/2)	${(9 x^{4} y^{6})}^{\frac{3}{2}}$
177256	Graph Using a Table of Values	g(x)=8^x	$g (x) = 8^{x}$
177257	Simplify	((2a+2b)/(a^2+ab))÷(4/a)	$\frac{2 a + 2 b}{a^{2} + a b} \div \frac{4}{a}$
177258	Solve for x	ax^2+bx=0	$a x^{2} + b x = 0$
177259	Find the Exact Value	sin(2arccos(( square root of 2)/2))	$\sin (2 \arccos (\frac{\sqrt{2}}{2}))$
177260	Solve for x	(4-6i)/x=8-2i	$\frac{4 - 6 i}{x} = 8 - 2 i$
177261	Solve the System of Equations	y=2x+3 y=3x+1	$y = 2 x + 3$ $y = 3 x + 1$
177262	Find the Equation of the Circle	Center (0,0) , r=10	Center $(0, 0)$ , $r = 10$
177263	Simplify	2(11c-33/2d)	$2 (11 c - \frac{33}{2} d)$
177264	Solve for t	I=Prt ; solve for t	$I = P r t$ ; solve for $t$
177265	Simplify	cube root of x^6y^9z^15	$\sqrt[3]{x^{6} y^{9} z^{15}}$
177266	Solve the Inequality for x	-134<8x-5(1-7x)	$- 134 < 8 x - 5 (1 - 7 x)$
177267	Find All Complex Solutions	x^(2/3)-x^(1/3)-6=0	$x^{\frac{2}{3}} - x^{\frac{1}{3}} - 6 = 0$
177268	Simplify	(6e-3f-4)*2	$(6 e - 3 f - 4) \cdot 2$
177269	Convert to Scientific Notation	((6.6710^-11)(5.9710^24))/((6.38*10^6)^2)	$\frac{(6.67 \cdot 10^{- 11}) (5.97 \cdot 10^{24})}{{(6.38 \cdot 10^{6})}^{2}}$
177270	Evaluate	4^(2x+3)=1	$4^{2 x + 3} = 1$
177271	Factor	P(x)=x^3+5x^2+x+5	$P (x) = x^{3} + 5 x^{2} + x + 5$
177272	Simplify	3^3*32+12÷4	$3^{3} \cdot 32 + 12 \div 4$
177273	Graph	p(x)=2x(x-1)(x+2)^2	$p (x) = 2 x (x - 1) {(x + 2)}^{2}$
177274	Solve the Inequality for x	x/3>=-6	$\frac{x}{3} \geq - 6$
177275	Simplify	(-6/2)^2	${(\frac{- 6}{2})}^{2}$
177276	Solve for P	I=Prt ; solve for P	$I = P r t$ ; solve for $P$
177277	Solve the System of Equations	y=-5x+30 x=10	$y = - 5 x + 30$ $x = 10$
177278	Evaluate Using the Given Value	6+x when x=3	$6 + x$ when $x = 3$
177279	Find the x and y Intercepts	f(x)=\|x+2\|-3	$f (x) = \| x + 2 \| - 3$
177280	Simplify	(-8x^2+5x^4-7+4x^3)-(-4-2x^3+9x^4-3x^2)	$(- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3}) - (- 4 - 2 x^{3} + 9 x^{4} - 3 x^{2})$
177281	Solve for y	(1-2y)/(3-y)+y=1/(y+2)	$\frac{1 - 2 y}{3 - y} + y = \frac{1}{y + 2}$
177282	Simplify	(x^2+x)(x^2)	$(x^{2} + x) (x^{2})$
177283	Simplify	sec(theta)*cos(theta)^2	$\sec (θ) \cdot \cos^{2} (θ)$
177284	Graph	f(x)=4x-3 if x<=0; 3 if x>5	$f (x) = {\begin{cases} 4 x - 3 & x \leq 0 \\ 3 & x > 5 \end{cases}$
177285	Graph Using a Table of Values	f(x)=-(8/3)^(-x)	$f (x) = - {(\frac{8}{3})}^{- x}$
177286	Find the Exact Value	-5/3-((((1/2)^3)÷(6/7))÷(3/4))÷((-1)^3)	$- \frac{5}{3} - {(\frac{1}{2})}^{3} \div \frac{6}{7} \div \frac{3}{4} \div {(- 1)}^{3}$
177287	Divide	4 1/2÷(1/4)	$4 \frac{1}{2} \div \frac{1}{4}$
177288	Find the First Term	2n+5	$2 n + 5$
177289	Evaluate	log base 4 of x+ log base 4 of x-6=2	$\log_{4} (x) + \log_{4} (x - 6) = 2$
177290	Evaluate Using the Given Value	P=(R-C)/n , R	$P = \frac{R - C}{n}$ , $R$
177291	Simplify	((-3r^6s^3)/r)^2	${(\frac{- 3 r^{6} s^{3}}{r})}^{2}$
177292	Find the Domain and Range	f(x)=2+1/x	$f (x) = 2 + \frac{1}{x}$
177293	Simplify	((-8)^-2)/(3^-4)	$\frac{{(- 8)}^{- 2}}{3^{- 4}}$
177294	Find the x and y Intercepts	(x-4)(x-2)=y	$(x - 4) (x - 2) = y$
177295	Write in Standard Form	(x-1)(x+2)=x(x+5)	$(x - 1) (x + 2) = x (x + 5)$
177296	Find All Complex Solutions	4^x=64	$4^{x} = 64$
177297	Solve for x	e^(2x)-e^x=0	$e^{2 x} - e^{x} = 0$
177298	Solve for x	4x+(3x)/(x+6)=7/(x+6)	$4 x + \frac{3 x}{x + 6} = \frac{7}{x + 6}$
177299	Find the First Term	n+3	$n + 3$
177300	Write in Standard Form	f(x)=(x+2)^2-3	$f (x) = {(x + 2)}^{2} - 3$