Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177201	Solve for x	square root of 3x+7-x=3	$\sqrt{3 x + 7} - x = 3$
177202	Solve for j	-41j+14j-28j-10=45	$- 41 j + 14 j - 28 j - 10 = 45$
177203	Write in Standard Form	3x+x^2=11-3x^2	$3 x + x^{2} = 11 - 3 x^{2}$
177204	Simplify	(14+ square root of -52)(12+ square root of -208)	$(14 + \sqrt{- 52}) (12 + \sqrt{- 208})$
177205	Simplify	- square root of 2*5 square root of 20	$- \sqrt{2} \cdot 5 \sqrt{20}$
177206	Graph	f^-1(x)=1/x	$f^{- 1} (x) = \frac{1}{x}$
177207	Solve for x	2(3x-4)=-(8-6x)	$2 (3 x - 4) = - (8 - 6 x)$
177208	Graph Using a Table of Values	f(x) = cube root of x-3	$f (x) = \sqrt[3]{x} - 3$
177209	Find g(f(x))	f(x)=5x and g(x)=x/5	$f (x) = 5 x$ and $g (x) = \frac{x}{5}$
177210	Solve the Inequality for x	4(3x-8)<6x+4	$4 (3 x - 8) < 6 x + 4$
177211	Solve the Inequality for x	5x-7<=7x-11<=5x+9	$5 x - 7 \leq 7 x - 11 \leq 5 x + 9$
177212	Solve the System of Equations	x+y=5 , x-y=1	$x + y = 5$ , $x - y = 1$
177213	Graph	y=1/2sin(x-(2pi)/3)	$y = \frac{1}{2} \sin (x - \frac{2 π}{3})$
177214	Solve for x	log base 2 of 2x+ log base 2 of 2=3	$\log_{2} (2 x) + \log_{2} (2) = 3$
177215	Evaluate	5*(3+6)^2-6^2	$5 \cdot {(3 + 6)}^{2} - 6^{2}$
177216	Graph	y=-3/2\|x-3\|+2	$y = - \frac{3}{2} \| x - 3 \| + 2$
177217	Graph	y>-1/2x+4 y<5/2x-2	$y > - \frac{1}{2} x + 4$ $y < \frac{5}{2} x - 2$
177218	Find the Exact Value	1/(-( square root of 3)/2)	$\frac{1}{- \frac{\sqrt{3}}{2}}$
177219	Solve for x	-36+3x=4x-4(3x-2)	$- 36 + 3 x = 4 x - 4 (3 x - 2)$
177220	Solve for t	h(t)=-16t^2+64	$h (t) = - 16 t^{2} + 64$
177221	Solve for x	(x-30/x)^2-6(x-30/x)-7=0	${(x - \frac{30}{x})}^{2} - 6 (x - \frac{30}{x}) - 7 = 0$
177222	Factor	4x^2-4x+1=0	$4 x^{2} - 4 x + 1 = 0$
177223	Find the Axis of Symmetry	y=(x-1)^2	$y = {(x - 1)}^{2}$
177224	Graph	y=-(3x)^2+1	$y = - {(3 x)}^{2} + 1$
177225	Solve for x	1/6x^3=-36	$\frac{1}{6} x^{3} = - 36$
177226	Find the x and y Intercepts	f(x)=(x^3-4x^2+3x)/(x^3-x)	$f (x) = \frac{x^{3} - 4 x^{2} + 3 x}{x^{3} - x}$
177227	Find the Roots (Zeros)	f(x)=(x(x+7)(x+2))/((x-4)(x+4))	$f (x) = \frac{x (x + 7) (x + 2)}{(x - 4) (x + 4)}$
177228	Find the x and y Intercepts	f(x)=-(x+2)^2(x-1)^2	$f (x) = - {(x + 2)}^{2} {(x - 1)}^{2}$
177229	Graph	-3<=p/2<0	$- 3 \leq \frac{p}{2} < 0$
177230	Simplify	-2(3a^2+a-2b)+9(a+4b)+6a^2	$- 2 (3 a^{2} + a - 2 b) + 9 (a + 4 b) + 6 a^{2}$
177231	Find the x and y Intercepts	F(x)=3*4^x	$F (x) = 3 \cdot 4^{x}$
177232	Evaluate	1-4-3+8(-3)	$1 - 4 \times - 3 + 8 \times (- 3)$
177233	Solve for p	p/2-9=1	$\frac{p}{2} - 9 = 1$
177234	Solve for s	(5s+8)/7=4	$\frac{5 s + 8}{7} = 4$
177235	Simplify	( square root of 1-x)^2	${(\sqrt{1 - x})}^{2}$
177236	Solve for d	-2/9d=4	$- \frac{2}{9} d = 4$
177237	Divide	8 5/6÷2 1/4	$8 \frac{5}{6} \div 2 \frac{1}{4}$
177238	Solve for x	2(12x+8x)=12x+168	$2 (12 x + 8 x) = 12 x + 168$
177239	Solve for y	2/5x+y=7	$\frac{2}{5} x + y = 7$
177240	Expand the Logarithmic Expression	log of (y^2)/( cube root of xz^4)	$\log (\frac{y^{2}}{\sqrt[3]{x} z^{4}})$
177241	Graph	x=-y^2+1	$x = - y^{2} + 1$
177242	Determine if Perpendicular	5x+3y=3 and 3x+5y=-25	$5 x + 3 y = 3$ and $3 x + 5 y = - 25$
177243	Convert to a Decimal	-45deg	$- 45$ degrees
177244	Evaluate	4pi(1)^2	$4 π {(1)}^{2}$
177245	Graph Using a Table of Values	y=x^2-2x+1	$y = x^{2} - 2 x + 1$
177246	Solve for q	4q^2-2q=-65	$4 q^{2} - 2 q = - 65$
177247	Multiply	(x-3)/(x+5)*(3x)/(x-5)	$\frac{x - 3}{x + 5} \cdot \frac{3 x}{x - 5}$
177248	Solve for x	2/(x-6)+7/(x+2)=(4x+2)/(x^2-4x-12)	$\frac{2}{x - 6} + \frac{7}{x + 2} = \frac{4 x + 2}{x^{2} - 4 x - 12}$
177249	Solve the System of Inequalities	11<-2x-3 or -21>=-2x-3	$11 < - 2 x - 3$ or $- 21 \geq - 2 x - 3$
177250	Evaluate	6-(-5)+2+(-4)	$6 - (- 5) + 2 + (- 4)$
177251	Solve for b	a=(h(a+b))/2	$a = \frac{h (a + b)}{2}$
177252	Solve the Inequality for x	(x-1)/(x+1)>=0	$\frac{x - 1}{x + 1} \geq 0$
177253	Evaluate	1/(2(16)^(1/2))	$\frac{1}{2 {(16)}^{\frac{1}{2}}}$
177254	Evaluate the Difference Quotient	f(x)=x^3+3x , (f(x+h)-f(x))/h , h!=0	$f (x) = x^{3} + 3 x$ , $\frac{f (x + h) - f (x)}{h}$ , $h \neq 0$
177255	Find the First Term	3n-4	$3 n - 4$
177256	Simplify	(x^2+5x-36)/(x^2-49)*(x^2-11x+28)	$\frac{x^{2} + 5 x - 36}{x^{2} - 49} \cdot (x^{2} - 11 x + 28)$
177257	Simplify	x^3y^3 square root of 4x^3y^3	$x^{3} y^{3} \sqrt{4 x^{3} y^{3}}$
177258	Simplify	(2x+1)/(x-3)+x/(x-3)+4/(x-3)	$\frac{2 x + 1}{x - 3} + \frac{x}{x - 3} + \frac{4}{x - 3}$
177259	Simplify	4x^3 square root of 12x^2y^7	$4 x^{3} \sqrt{12 x^{2} y^{7}}$
177260	Write in Slope-Intercept Form	y+4=-1/2(x-2)	$y + 4 = - \frac{1}{2} (x - 2)$
177261	Evaluate	pi/6-pi/4	$\frac{π}{6} - \frac{π}{4}$
177262	Simplify	(x^3)^-3(-2y^5)^4	${(x^{3})}^{- 3} {(- 2 y^{5})}^{4}$
177263	Solve for m	15=5(1-m)-2(1-m)	$15 = 5 (1 - m) - 2 (1 - m)$
177264	Find the Quotient	(x^3+5x^2-7x+2)÷(x-2)	$(x^{3} + 5 x^{2} - 7 x + 2) \div (x - 2)$
177265	Simplify the Radical Expression	(3 square root of y)^2	${(3 \sqrt{y})}^{2}$
177266	Graph	f(x)>=4x^2-7	$f (x) \geq 4 x^{2} - 7$
177267	Simplify	( square root of x+1)÷( square root of 4-x)	$\sqrt{x + 1} \div \sqrt{4 - x}$
177268	Graph	x+y<4 2x-3y>=12	$x + y < 4$ $2 x - 3 y \geq 12$
177269	Solve the Inequality for x	x^3-36x>=0	$x^{3} - 36 x \geq 0$
177270	Simplify	(9x^4y^6)^(3/2)	${(9 x^{4} y^{6})}^{\frac{3}{2}}$
177271	Graph Using a Table of Values	g(x)=8^x	$g (x) = 8^{x}$
177272	Simplify	((2a+2b)/(a^2+ab))÷(4/a)	$\frac{2 a + 2 b}{a^{2} + a b} \div \frac{4}{a}$
177273	Solve for x	ax^2+bx=0	$a x^{2} + b x = 0$
177274	Find the Exact Value	sin(2arccos(( square root of 2)/2))	$\sin (2 \arccos (\frac{\sqrt{2}}{2}))$
177275	Solve for x	(4-6i)/x=8-2i	$\frac{4 - 6 i}{x} = 8 - 2 i$
177276	Solve the System of Equations	y=2x+3 y=3x+1	$y = 2 x + 3$ $y = 3 x + 1$
177277	Find the Equation of the Circle	Center (0,0) , r=10	Center $(0, 0)$ , $r = 10$
177278	Simplify	2(11c-33/2d)	$2 (11 c - \frac{33}{2} d)$
177279	Solve for t	I=Prt ; solve for t	$I = P r t$ ; solve for $t$
177280	Simplify	cube root of x^6y^9z^15	$\sqrt[3]{x^{6} y^{9} z^{15}}$
177281	Solve the Inequality for x	-134<8x-5(1-7x)	$- 134 < 8 x - 5 (1 - 7 x)$
177282	Find All Complex Solutions	x^(2/3)-x^(1/3)-6=0	$x^{\frac{2}{3}} - x^{\frac{1}{3}} - 6 = 0$
177283	Simplify	(6e-3f-4)*2	$(6 e - 3 f - 4) \cdot 2$
177284	Convert to Scientific Notation	((6.6710^-11)(5.9710^24))/((6.38*10^6)^2)	$\frac{(6.67 \cdot 10^{- 11}) (5.97 \cdot 10^{24})}{{(6.38 \cdot 10^{6})}^{2}}$
177285	Evaluate	4^(2x+3)=1	$4^{2 x + 3} = 1$
177286	Factor	P(x)=x^3+5x^2+x+5	$P (x) = x^{3} + 5 x^{2} + x + 5$
177287	Simplify	3^3*32+12÷4	$3^{3} \cdot 32 + 12 \div 4$
177288	Graph	p(x)=2x(x-1)(x+2)^2	$p (x) = 2 x (x - 1) {(x + 2)}^{2}$
177289	Solve the Inequality for x	x/3>=-6	$\frac{x}{3} \geq - 6$
177290	Simplify	(-6/2)^2	${(\frac{- 6}{2})}^{2}$
177291	Solve for P	I=Prt ; solve for P	$I = P r t$ ; solve for $P$
177292	Solve the System of Equations	y=-5x+30 x=10	$y = - 5 x + 30$ $x = 10$
177293	Evaluate Using the Given Value	6+x when x=3	$6 + x$ when $x = 3$
177294	Find the x and y Intercepts	f(x)=\|x+2\|-3	$f (x) = \| x + 2 \| - 3$
177295	Simplify	(-8x^2+5x^4-7+4x^3)-(-4-2x^3+9x^4-3x^2)	$(- 8 x^{2} + 5 x^{4} - 7 + 4 x^{3}) - (- 4 - 2 x^{3} + 9 x^{4} - 3 x^{2})$
177296	Solve for y	(1-2y)/(3-y)+y=1/(y+2)	$\frac{1 - 2 y}{3 - y} + y = \frac{1}{y + 2}$
177297	Simplify	(x^2+x)(x^2)	$(x^{2} + x) (x^{2})$
177298	Simplify	sec(theta)*cos(theta)^2	$\sec (θ) \cdot \cos^{2} (θ)$
177299	Graph	f(x)=4x-3 if x<=0; 3 if x>5	$f (x) = {\begin{cases} 4 x - 3 & x \leq 0 \\ 3 & x > 5 \end{cases}$
177300	Graph Using a Table of Values	f(x)=-(8/3)^(-x)	$f (x) = - {(\frac{8}{3})}^{- x}$