Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177301	Simplify	4y square root of 4x^4y^3	$4 y \sqrt{4 x^{4} y^{3}}$
177302	Solve the System of Equations	y=3x+5 and y=2x+4	$y = 3 x + 5$ and $y = 2 x + 4$
177303	Simplify	square root of (21x^2y)/(75xy^5)	$\sqrt{\frac{21 x^{2} y}{75 x y^{5}}}$
177304	Simplify	x/(4x+x^2)	$\frac{x}{4 x + x^{2}}$
177305	Evaluate	10/(10^(3/4))	$\frac{10}{10^{\frac{3}{4}}}$
177306	Describe the Transformation	f(x)=-(x-7)^2-1	$f (x) = - {(x - 7)}^{2} - 1$
177307	Subtract	1 1/3-5/6	$1 \frac{1}{3} - \frac{5}{6}$
177308	Graph	y>-3x-3 y>2x-8	$y > - 3 x - 3$ $y > 2 x - 8$
177309	Write in Slope-Intercept Form	y=-4(4x+3)+5(6x-5)	$y = - 4 (4 x + 3) + 5 (6 x - 5)$
177310	Find the Perfect Square Trinomial	x^2-9	$x^{2} - 9$
177311	Solve for q	-6q=-18(2/3q+2-1/6q)	$- 6 q = - 18 (\frac{2}{3} q + 2 - \frac{1}{6} q)$
177312	Evaluate	(1+0.07/4)	$(1 + \frac{0.07}{4})$
177313	Solve for x	log base 2 of 9x-2 log base 2 of 8=1	$\log_{2} (9 x) - 2 \log_{2} (8) = 1$
177314	Simplify	1/2(10x+20y+10z)	$\frac{1}{2} (10 x + 20 y + 10 z)$
177315	Simplify	(sin(x))/(sec(x)+1)	$\frac{\sin (x)}{\sec (x) + 1}$
177316	Simplify	(y^3-3y^2+y-3)/(y^2-9)	$\frac{y^{3} - 3 y^{2} + y - 3}{y^{2} - 9}$
177317	Solve the Inequality for b	10<=-2/3(9+12b)	$10 \leq - \frac{2}{3} (9 + 12 b)$
177318	Find the x and y Intercepts	3	$3$
177319	Simplify	(2-5i)(2+5i)(i)	$(2 - 5 i) (2 + 5 i) (i)$
177320	Graph	y=-e^(x+4)	$y = - e^{x + 4}$
177321	Solve for b	(cd)/b=a	$\frac{c d}{b} = a$
177322	Solve for y	-2+y=2(1/3y-3)	$- 2 + y = 2 (\frac{1}{3} y - 3)$
177323	Solve for x	4x^2+3=4x+2	$4 x^{2} + 3 = 4 x + 2$
177324	Solve for x	13+3(3x+8)=x-3	$13 + 3 (3 x + 8) = x - 3$
177325	Multiply	( square root of 10+2 square root of 8)( square root of 10-2 square root of 8)	$(\sqrt{10} + 2 \sqrt{8}) (\sqrt{10} - 2 \sqrt{8})$
177326	Simplify	square root of 45- square root of 27- square root of 20	$\sqrt{45} - \sqrt{27} - \sqrt{20}$
177327	Graph	-4y>2x+4	$- 4 y > 2 x + 4$
177328	Describe the Transformation	f(x)=1/2((x+2)^2-9)	$f (x) = \frac{1}{2} ({(x + 2)}^{2} - 9)$
177329	Solve the Rational Equation for x	square root of x+1+5=x	$\sqrt{x + 1} + 5 = x$
177330	Convert to Polar	y=6x^2	$y = 6 x^{2}$
177331	Solve for r	1+r/-1.5=9	$1 + \frac{r}{- 1.5} = 9$
177332	Find the Inverse	f(g(x))	$f (g (x))$
177333	Factor	2x^2+16x=0	$2 x^{2} + 16 x = 0$
177334	Solve for x	3x-7=5x	$3 x - 7 = 5 x$
177335	Solve for θ	2cos(theta)^2-cos(theta)=0	$2 \cos^{2} (θ) - \cos (θ) = 0$
177336	Graph	y>-1/2x-8 y<x-2	$y > - \frac{1}{2} x - 8$ $y < x - 2$
177337	Simplify	5/(6x-18)-(x-1)/(4x^2-14x+6)	$\frac{5}{6 x - 18} - \frac{x - 1}{4 x^{2} - 14 x + 6}$
177338	Simplify the Radical Expression	2 square root of 20+8 square root of 45- square root of 80	$2 \sqrt{20} + 8 \sqrt{45} - \sqrt{80}$
177339	Divide	(5/(x-2))÷(x/(x+1))	$\frac{5}{x - 2} \div \frac{x}{x + 1}$
177340	Evaluate	(sec(theta))/(tan(theta))	$\frac{\sec (θ)}{\tan (θ)}$
177341	Solve the System of Equations	2a-3c=-6 a+2c=11	$2 a - 3 c = - 6$ $a + 2 c = 11$
177342	Solve the Absolute Value Inequality for x	\|x-5\|=3	$\| x - 5 \| = 3$
177343	Simplify	(2x^3+y)^2	${(2 x^{3} + y)}^{2}$
177344	Solve for x	-6x+9=4(5-x)	$- 6 x + 9 = 4 (5 - x)$
177345	Solve the Inequality for k	-90>=-5(k-3)	$- 90 \geq - 5 (k - 3)$
177346	Graph	g(x)=-2^(-x-1)	$g (x) = - 2^{- x - 1}$
177347	Solve the System of Equations	y=-x-10 y=x^2-2x-3	$y = - x - 10$ $y = x^{2} - 2 x - 3$
177348	Find the Product	(2a-1)(1+2a)	$(2 a - 1) (1 + 2 a)$
177349	Evaluate	(( square root of 3)/2)/(-1/2)	$\frac{\frac{\sqrt{3}}{2}}{\frac{- 1}{2}}$
177350	Solve the System of Equations	3x+5y=9 30x+50y=-90	$3 x + 5 y = 9$ $30 x + 50 y = - 90$
177351	Solve for x	4x-6+3(2-x)=2x-(x-4)	$4 x - 6 + 3 (2 - x) = 2 x - (x - 4)$
177352	Rationalize the Denominator	2/( square root of x+ square root of x+2)	$\frac{2}{\sqrt{x} + \sqrt{x + 2}}$
177353	Graph	y>2 and y<=x	$y > 2$ and $y \leq x$
177354	Find f(g(x))	f(x)=x+2 , g(x)=2x^2-3x-2	$f (x) = x + 2$ , $g (x) = 2 x^{2} - 3 x - 2$
177355	Simplify	( square root of 4-x^2)÷( square root of 2-x)	$\sqrt{4 - x^{2}} \div \sqrt{2 - x}$
177356	Find the Slope and y-intercept	y=-5-1/2x	$y = - 5 - \frac{1}{2} x$
177357	Find the x and y Intercepts	f(x)=2^(3x+1)	$f (x) = 2^{3 x + 1}$
177358	Find the Exact Value	square root of 196	$\sqrt{196}$
177359	Solve for x	x-(x+3)/(x+1)=(2x)/(x+1)	$x - \frac{x + 3}{x + 1} = \frac{2 x}{x + 1}$
177360	Multiply	-2/3*3/2	$- \frac{2}{3} \cdot \frac{3}{2}$
177361	Simplify	y^2 square root of 45x^5y^3	$y^{2} \sqrt{45 x^{5} y^{3}}$
177362	Solve the Absolute Value Inequality for x	\|x-2\|=0	$\| x - 2 \| = 0$
177363	Simplify the Radical Expression	square root of 216k^4	$\sqrt{216 k^{4}}$
177364	Solve the Inequality for x	0.2x-2<7-0.8x	$0.2 x - 2 < 7 - 0.8 x$
177365	Find the Intersection	-2x+3y>=1 -5x+6y<=1	$- 2 x + 3 y \geq 1$ $- 5 x + 6 y \leq 1$
177366	Solve for T₂	V_1/T_1=V_2/T_2	$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$
177367	Solve for x	square root of 3x+4 = square root of 8x+2	$\sqrt{3 x + 4} = \sqrt{8 x} + 2$
177368	Find the Function	f(x)=1-x^2	$f (x) = 1 - x^{2}$
177369	Evaluate	\|2x-1\|=3	$\| 2 x - 1 \| = 3$
177370	Find f(g(x))	f(x)=(x^2)/2 , g(x)=x+2	$f (x) = \frac{x^{2}}{2}$ , $g (x) = x + 2$
177371	Find the Domain and Range	f^-1(x) = square root of x+3	$f^{- 1} (x) = \sqrt{x + 3}$
177372	Write in Standard Form	(5p^2-3)+(2p^2-3p^3)	$(5 p^{2} - 3) + (2 p^{2} - 3 p^{3})$
177373	Write in Standard Form	18-4x-5x^2=3	$18 - 4 x - 5 x^{2} = 3$
177374	Simplify	6m^2n^2-3mn+4mn+13m^2n^2+9	$6 m^{2} n^{2} - 3 m n + 4 m n + 13 m^{2} n^{2} + 9$
177375	Find the Midpoint	(-4,-9) and (-10,-3)	$(- 4, - 9)$ and $(- 10, - 3)$
177376	Simplify	xy square root of 18x^2y^2	$x y \sqrt{18 x^{2} y^{2}}$
177377	Simplify	(12x^6y^-4z^2)/(3x^2y^-6z^3)	$\frac{12 x^{6} y^{- 4} z^{2}}{3 x^{2} y^{- 6} z^{3}}$
177378	Solve for X	X-42=98-9X	$X - 42 = 98 - 9 X$
177379	Simplify	(2+i)/(-3-4i)	$\frac{2 + i}{- 3 - 4 i}$
177380	Find the Midpoint	(8,5) and (0,-1)	$(8, 5)$ and $(0, - 1)$
177381	Solve for x	x = square root of 2x-12+6	$x = \sqrt{2 x - 12} + 6$
177382	Evaluate	(5^2-3^4)/((2^3-5)*((6^2)÷9))	$\frac{5^{2} - 3^{4}}{(2^{3} - 5) \cdot (6^{2} \div 9)}$
177383	Solve the Inequality for x	x/3>-8	$\frac{x}{3} > - 8$
177384	Solve by Substitution	x-4y=-8 5y-1=x	$x - 4 y = - 8$ $5 y - 1 = x$
177385	Solve for f	1/4(8f-12)=4f	$\frac{1}{4} (8 f - 12) = 4 f$
177386	Graph	y>3x+2 and y<2x+3	$y > 3 x + 2$ and $y < 2 x + 3$
177387	Simplify	(3x^2-30x+75)/(x^2-9x+20)	$\frac{3 x^{2} - 30 x + 75}{x^{2} - 9 x + 20}$
177388	Simplify	13x+4-8+6x-13x-4	$13 x + 4 - 8 + 6 x - 13 x - 4$
177389	Write in Standard Form	5x^2+7+3x=-3x	$5 x^{2} + 7 + 3 x = - 3 x$
177390	Write in Standard Form	y=(x+2)^2-4	$y = {(x + 2)}^{2} - 4$
177391	Write in Standard Form	y=x^2+10x-13	$y = x^{2} + 10 x - 13$
177392	Find the Holes in the Graph	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
177393	Find the x and y Intercepts	f(x) = cube root of x-1	$f (x) = \sqrt[3]{x - 1}$
177394	Find the Product	(10uv^2)/(3xy^2)*(6x^2y^2)/(5u^2v^2)	$\frac{10 u v^{2}}{3 x y^{2}} \cdot \frac{6 x^{2} y^{2}}{5 u^{2} v^{2}}$
177395	Evaluate	(x^2+5)^2+5	${(x^{2} + 5)}^{2} + 5$
177396	Solve for x	3^3=(3^2)^(2x+1)	$3^{3} = {(3^{2})}^{2 x + 1}$
177397	Divide	1/23/4	$\frac{1}{2} \cdot \frac{3}{4}$
177398	Simplify	2-(x+1)/(x-3)	$2 - \frac{x + 1}{x - 3}$
177399	Solve for j	1/j+1/(j+21)=1/14	$\frac{1}{j} + \frac{1}{j + 21} = \frac{1}{14}$
177400	Graph	y<=2x-6 y<=-1/2x-1	$y \leq 2 x - 6$ $y \leq - \frac{1}{2} x - 1$