Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180301	Solve for k	8(3/4k+3)=8-2k	$8 (\frac{3}{4} k + 3) = 8 - 2 k$
180302	Evaluate	(sin(theta))/(1+sin(theta))-(sin(theta))/(1-sin(theta))	$\frac{\sin (θ)}{1 + \sin (θ)} - \frac{\sin (θ)}{1 - \sin (θ)}$
180303	Graph	f(x)=1/16(x+2)(x-2)^2(x-4)	$f (x) = \frac{1}{16} (x + 2) {(x - 2)}^{2} (x - 4)$
180304	Solve the Inequality for x	-(3x+3)-2x>-4(x-2)-2	$- (3 x + 3) - 2 x > - 4 (x - 2) - 2$
180305	Convert to Scientific Notation	(1.24810^-2)÷7.810^-7	$1.248 \cdot 10^{- 2} \div 7.8 \cdot 10^{- 7}$
180306	Evaluate	8^x=16	$8^{x} = 16$
180307	Evaluate	4(9+7-3^2)	$4 (9 + 7 - 3^{2})$
180308	Simplify	2x^3 square root of 4x^2y^2	$2 x^{3} \sqrt{4 x^{2} y^{2}}$
180309	Factor	P(x)=4x^4-45x^2+81	$P (x) = 4 x^{4} - 45 x^{2} + 81$
180310	Write in Standard Form	f(x)=-x^2-3x+3	$f (x) = - x^{2} - 3 x + 3$
180311	Solve for u	-26u+2u+41u+14=-20	$- 26 u + 2 u + 41 u + 14 = - 20$
180312	Simplify	m/2+m/3	$\frac{m}{2} + \frac{m}{3}$
180313	Simplify	(12x^2y^3z)/(21y^4z^3)	$\frac{12 x^{2} y^{3} z}{21 y^{4} z^{3}}$
180314	Find the Directrix	3y^2+8x+24y+40=0	$3 y^{2} + 8 x + 24 y + 40 = 0$
180315	Graph	h(x)=f(2x)	$h (x) = f (2 x)$
180316	Find the Exact Value	log of 1000	$\log (1000)$
180317	Simplify	(-3i^16)^3	${(- 3 i^{16})}^{3}$
180318	Solve for m	1-2/m=8/(m^2)	$1 - \frac{2}{m} = \frac{8}{m^{2}}$
180319	Divide	4 1/2÷6	$4 \frac{1}{2} \div 6$
180320	Graph	y=5/2cos(x-pi/4)	$y = \frac{5}{2} \cos (x - \frac{π}{4})$
180321	Solve the Inequality for x	\|2x-1\|<=5	$\| 2 x - 1 \| \leq 5$
180322	Solve for a	a=pi*4^2	$a = π \cdot 4^{2}$
180323	Graph Using a Table of Values	y=2^x-3	$y = 2^{x} - 3$
180324	Find the Exact Value	cube root of 128	$\sqrt[3]{128}$
180325	Graph	y<=\|4-x\|	$y \leq \| 4 - x \|$
180326	Simplify the Radical Expression	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$
180327	Graph	-4(x+3)<=-2x	$- 4 (x + 3) \leq - 2 x$
180328	Graph	f(x)=(3x^2-12x)/(x^2-2x-3)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
180329	Solve the Inequality for x	-6x>=18	$- 6 x \geq 18$
180330	Simplify	(( square root of 3)/3+5/2i)^2	${(\frac{\sqrt{3}}{3} + \frac{5}{2} i)}^{2}$
180331	Solve for x	3/2(2x+4)=x+20	$\frac{3}{2} (2 x + 4) = x + 20$
180332	Simplify	(3x)/((3x)^2+1)	$\frac{3 x}{{(3 x)}^{2} + 1}$
180333	Find the Midpoint	(10,6) and (4,9)	$(10, 6)$ and $(4, 9)$
180334	Graph	y<=-3/2x-7 y>=x+3	$y \leq - \frac{3}{2} x - 7$ $y \geq x + 3$
180335	Solve for θ	2cos(2theta)-1=0	$2 \cos (2 θ) - 1 = 0$
180336	Simplify	( cube root of 6* cube root of 72)/( cube root of 2)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{72}}{\sqrt[3]{2}}$
180337	Solve for x	(x^2+1)/(x-1)+x=2+2/(x-1)	$\frac{x^{2} + 1}{x - 1} + x = 2 + \frac{2}{x - 1}$
180338	Expand the Logarithmic Expression	log of ( cube root of y^4z^4)/x	$\log (\frac{\sqrt[3]{y^{4}} z^{4}}{x})$
180339	Graph	y=1/2tan(1/2x)	$y = \frac{1}{2} \tan (\frac{1}{2} x)$
180340	Solve for x	12+7x-9=3x+5-4(2-x)	$12 + 7 x - 9 = 3 x + 5 - 4 (2 - x)$
180341	Evaluate	(16 square root of x^3)^(1/4)	${(16 \sqrt{x^{3}})}^{\frac{1}{4}}$
180342	Find the Exact Value	cos(510 degrees )	$\cos (510 °)$
180343	Find the Exact Value	tan(480 degrees )	$\tan (480 °)$
180344	Solve the Inequality for x	(x-4)/(x+3)>0	$\frac{x - 4}{x + 3} > 0$
180345	Simplify	((-5x)/(4x-16))÷((x^2-3x)/(x^2-7x+12))	$\frac{- 5 x}{4 x - 16} \div \frac{x^{2} - 3 x}{x^{2} - 7 x + 12}$
180346	Simplify	((2^3)/(4^2))^5	${(\frac{2^{3}}{4^{2}})}^{5}$
180347	Solve the System of Equations	4x-y+z=10 2x+y+3z=4 -3x+2y+2z=-7	$4 x - y + z = 10$ $2 x + y + 3 z = 4$ $- 3 x + 2 y + 2 z = - 7$
180348	Simplify	((x-10)/25+1/x)/(1-x/5)	$\frac{\frac{x - 10}{25} + \frac{1}{x}}{1 - \frac{x}{5}}$
180349	Graph	f(x) = square root of x-2+k	$f (x) = \sqrt{x - 2} + k$
180350	Solve the Inequality for x	x^2<3	$x^{2} < 3$
180351	Solve for x	-(3/2)^x+12=2x-3	$- {(\frac{3}{2})}^{x} + 12 = 2 x - 3$
180352	Evaluate	(x+5)(x+3)	$(x + 5) (x + 3)$
180353	Find the Domain and Range	1+x^2	$1 + x^{2}$
180354	Evaluate	(x-2y)^2	${(x - 2 y)}^{2}$
180355	Solve for x	5(2x+1)^2=20	$5 {(2 x + 1)}^{2} = 20$
180356	Solve the Inequality for y	4y+3>2y+14	$4 y + 3 > 2 y + 14$
180357	Find the Inverse	f(x)=1/2(3x+4)	$f (x) = \frac{1}{2} (3 x + 4)$
180358	Solve for a	x^(2/3)x^(1/2)=x^a	$x^{\frac{2}{3}} x^{\frac{1}{2}} = x^{a}$
180359	Evaluate	3-1/2(3)^2	$3 - \frac{1}{2} {(3)}^{2}$
180360	Evaluate	12(3 2/3)	$12 (3 \frac{2}{3})$
180361	Graph	y=3/2cos(x+pi)	$y = \frac{3}{2} \cos (x + π)$
180362	Evaluate	cube root of (x^3+1)-1	$\sqrt[3]{(x^{3} + 1) - 1}$
180363	Solve for x	5/(x-2)=7-10/(x+2)	$\frac{5}{x - 2} = 7 - \frac{10}{x + 2}$
180364	Find the Function	f(x)=x^2+4x-5	$f (x) = x^{2} + 4 x - 5$
180365	Solve the Inequality for x	1/3<-x-5/6<2/3x+4	$\frac{1}{3} < - x - \frac{5}{6} < \frac{2}{3} x + 4$
180366	Determine the Number of Significant Figures	0.0005	$0.0005$
180367	Solve the Inequality for x	x^2-3x>=10	$x^{2} - 3 x \geq 10$
180368	Solve for k	(k+1)/3-k/5=3	$\frac{k + 1}{3} - \frac{k}{5} = 3$
180369	Simplify	((4xy^3)/(x^2))^2	${(\frac{4 x y^{3}}{x^{2}})}^{2}$
180370	Graph	-2(x+3)<=-12	$- 2 (x + 3) \leq - 12$
180371	Solve for y	1/3(y-2)-5/6(y+1)=3/4(y-3)-2	$\frac{1}{3} (y - 2) - \frac{5}{6} (y + 1) = \frac{3}{4} (y - 3) - 2$
180372	Simplify the Radical Expression	cube root of -64a^3	$\sqrt[3]{- 64 a^{3}}$
180373	Simplify	3i*(15+2i)	$3 i \cdot (15 + 2 i)$
180374	Graph	y=x+2 x=-3	$y = x + 2$ $x = - 3$
180375	Simplify	26*26^8	$26 \cdot 26^{8}$
180376	Solve for x	5(3-x)+8x=3(x+5)	$5 (3 - x) + 8 x = 3 (x + 5)$
180377	Solve for s	1/2(s-12)=1/4(s+16)	$\frac{1}{2} (s - 12) = \frac{1}{4} (s + 16)$
180378	Rationalize the Denominator	( square root of 3-1)/( square root of 3+1)	$\frac{\sqrt{3} - 1}{\sqrt{3} + 1}$
180379	Factor	ax-ay-bx+by	$a x - a y - b x + b y$
180380	Simplify	((3x^3y^0)/(x^-2))^4*((y^2x^-4)/(5xy^-8))^3	${(\frac{3 x^{3} y^{0}}{x^{- 2}})}^{4} \cdot {(\frac{y^{2} x^{- 4}}{5 x y^{- 8}})}^{3}$
180381	Graph	y=x\|x\|	$y = x \| x \|$
180382	Graph Using a Table of Values	y=4*(1/2)^x	$y = 4 \cdot {(\frac{1}{2})}^{x}$
180383	Simplify	7^-2(-3)^2	$7^{- 2} {(- 3)}^{2}$
180384	Find the Domain and Range	(x)=4^(-x)	$(x) = 4^{- x}$
180385	Solve for y	3y+(y-2)=2(2y-1)	$3 y + (y - 2) = 2 (2 y - 1)$
180386	Subtract	(3x^4-3x)-(3x-3x^4)	$(3 x^{4} - 3 x) - (3 x - 3 x^{4})$
180387	Solve the System of Equations	y=-x^2+2 y=x	$y = - x^{2} + 2$ $y = x$
180388	Solve by Substitution	2x-3y=38 -x-6=y	$2 x - 3 y = 38$ $- x - 6 = y$
180389	Graph	f(x)=1/8(x+2)(x-2)^2(x-4)	$f (x) = \frac{1}{8} (x + 2) {(x - 2)}^{2} (x - 4)$
180390	Solve for x	25^x<125^(x-3)	$25^{x} < 125^{x - 3}$
180391	Solve the System of Equations	3x-4y-5z=-27 5x+2y-2z=11 5x-4y+4z=-7	$3 x - 4 y - 5 z = - 27$ $5 x + 2 y - 2 z = 11$ $5 x - 4 y + 4 z = - 7$
180392	Simplify	(1/(2x^(1/2)))^2	${(\frac{1}{2 x^{\frac{1}{2}}})}^{2}$
180393	Solve for x	x/(x+1)+1=1/(x^2+x)	$\frac{x}{x + 1} + 1 = \frac{1}{x^{2} + x}$
180394	Convert to a Decimal	9/0	$\frac{9}{0}$
180395	Solve the Inequality for x	4x^2+16x<0	$4 x^{2} + 16 x < 0$
180396	Simplify	(f(4+h)-f(4))/h	$\frac{f (4 + h) - f (4)}{h}$
180397	Solve the System of Equations	10x-3y-81=0 -5x-7y-19=0	$10 x - 3 y - 81 = 0$ $- 5 x - 7 y - 19 = 0$
180398	Solve for x	(2x)/(x-2)=9+(25x^2)/(x-2)	$\frac{2 x}{x - 2} = 9 + \frac{25 x^{2}}{x - 2}$
180399	Subtract	-1/4-1/4	$- \frac{1}{4} - \frac{1}{4}$
180400	Convert to Polar	9x+y=10	$9 x + y = 10$