Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191001	Graph	y>-1/2x+2 y<=3x-1	$y > - \frac{1}{2} x + 2$ $y \leq 3 x - 1$
191002	Solve for x	(2x+4)/3-(x+5)/6=x+7	$\frac{2 x + 4}{3} - \frac{x + 5}{6} = x + 7$
191003	Solve for c	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
191004	Solve for x	x+7-8x/3=17/6-5x/2	$x + 7 - 8 \frac{x}{3} = \frac{17}{6} - 5 \frac{x}{2}$
191005	Graph	f(x)=-1/8(x+4)(x+2)(x-2)	$f (x) = - \frac{1}{8} (x + 4) (x + 2) (x - 2)$
191006	Solve for x	(x+3)/(1-x)=(x+1)/(x+2)	$\frac{x + 3}{1 - x} = \frac{x + 1}{x + 2}$
191007	Solve for x	2(x-1)+5=6-(2x+2)	$2 (x - 1) + 5 = 6 - (2 x + 2)$
191008	Find the Sum and Product of the Roots of the Quadratic Equation	4x^2-8x=-1	$4 x^{2} - 8 x = - 1$
191009	Find the Roots (Zeros)	f(x)=(4x-13) natural log of (2x-7)(x-3)	$f (x) = (4 x - 13) \ln ((2 x - 7) (x - 3))$
191010	Solve for r	-4r+5=5-4r	$- 4 r + 5 = 5 - 4 r$
191011	Solve the Inequality for y	3(4y+6)<=-2(3-6y)	$3 (4 y + 6) \leq - 2 (3 - 6 y)$
191012	Subtract	Subtract 10x^2-10x+2 from -8x^2+7x-7	Subtract $10 x^{2} - 10 x + 2$ from $- 8 x^{2} + 7 x - 7$
191013	Graph	Graph y=-4/3x+8	Graph $y = - \frac{4}{3} x + 8$
191014	Graph	r(x)=(x^2+6x+8)/(2x+8)	$r (x) = \frac{x^{2} + 6 x + 8}{2 x + 8}$
191015	Evaluate	-pi/2*2	$- \frac{π}{2} \cdot 2$
191016	Simplify	(3x)/(x+1)-5/x	$\frac{3 x}{x + 1} - \frac{5}{x}$
191017	Find the LCD	12/(2x^2+14x+20) and 11/(x^2+6x+5) ?	$\frac{12}{2 x^{2} + 14 x + 20}$ and $\frac{11}{x^{2} + 6 x + 5}$ ?
191018	Solve the Inequality for b	b^2-4ac<0	$b^{2} - 4 a c < 0$
191019	Simplify	(-9a^2bc^5)/(-3ab^6)	$\frac{- 9 a^{2} b c^{5}}{- 3 a b^{6}}$
191020	Graph	-3>=x+1	$- 3 \geq x + 1$
191021	Convert to Interval Notation	x<-5 or x>9	$x < - 5$ or $x > 9$
191022	Simplify	2(p+q)+q	$2 (p + q) + q$
191023	Evaluate	(5^3x^2y^4)^0	${(5^{3} x^{2} y^{4})}^{0}$
191024	Solve for x	(5x)/6=v-1	$\frac{5 x}{6} = v - 1$
191025	Write in Standard Form	(5x^2+6x-2)+4x(3x-7)	$(5 x^{2} + 6 x - 2) + 4 x (3 x - 7)$
191026	Solve for x	x^(5/2)-2x^(5/4)+1=0	$x^{\frac{5}{2}} - 2 x^{\frac{5}{4}} + 1 = 0$
191027	Solve the Inequality for x	\|2x+2\|-7<=-5	$\| 2 x + 2 \| - 7 \leq - 5$
191028	Multiply	(x^2-64)/(x^2)*(x^2-8x)/(x^2+2x-80)	$\frac{x^{2} - 64}{x^{2}} \cdot \frac{x^{2} - 8 x}{x^{2} + 2 x - 80}$
191029	Solve for x	(2x+1)/9+(3x+2)/45=-1	$\frac{2 x + 1}{9} + \frac{3 x + 2}{45} = - 1$
191030	Simplify the Radical Expression	(3^(2/3))^(1/6)	${(3^{\frac{2}{3}})}^{\frac{1}{6}}$
191031	Solve for x	(x+2)/(X+4)=(x-2)/(x+2)	$\frac{x + 2}{X + 4} = \frac{x - 2}{x + 2}$
191032	Solve for x	1/(2 square root of x)=0	$\frac{1}{2 \sqrt{x}} = 0$
191033	Factor	x^2+2x(y+z)+(y+z)^2	$x^{2} + 2 x (y + z) + {(y + z)}^{2}$
191034	Solve for y	13=1/6y+2x	$13 = \frac{1}{6} y + 2 x$
191035	Divide	(1/3)/(2/3)	$\frac{\frac{1}{3}}{\frac{2}{3}}$
191036	Solve the Inequality for x	(2x-1)/3<1-(x-2)/5	$\frac{2 x - 1}{3} < 1 - \frac{x - 2}{5}$
191037	Find the Product	(2+y^2)^3	${(2 + y^{2})}^{3}$
191038	Evaluate	in (e)	in $(e)$
191039	Solve for x	2/(x-5)=6/(3x-15)-4	$\frac{2}{x - 5} = \frac{6}{3 x - 15} - 4$
191040	Simplify	-x^2 square root of 24x^2+7x square root of 6x^4	$- x^{2} \sqrt{24 x^{2}} + 7 x \sqrt{6 x^{4}}$
191041	Solve for x	-x^3+6x^2+x-6=0	$- x^{3} + 6 x^{2} + x - 6 = 0$
191042	Solve the System of Equations	y=x+2 x=-3	$y = x + 2$ $x = - 3$
191043	Evaluate	1-1/((3)^2)	$1 - \frac{1}{{(3)}^{2}}$
191044	Combine Like Terms	-4(1-8n)-4(8n+4)	$- 4 (1 - 8 n) - 4 (8 n + 4)$
191045	Solve for c	-42=5(2c+9)-3(c+8)	$- 42 = 5 (2 c + 9) - 3 (c + 8)$
191046	Solve the System of Equations	y=x^2+5x-6 x+y=10	$y = x^{2} + 5 x - 6$ $x + y = 10$
191047	Find the Product	cube root of 24* cube root of 45	$\sqrt[3]{24} \cdot \sqrt[3]{45}$
191048	Evaluate	(x^2)^(1/2)	${(x^{2})}^{\frac{1}{2}}$
191049	Simplify	(1-tan(-theta))/(tan(-theta))	$\frac{1 - \tan (- θ)}{\tan (- θ)}$
191050	Find the Product	(r+s)^2	${(r + s)}^{2}$
191051	Graph	f(x)=1/2\|x+2\|+3	$f (x) = \frac{1}{2} \| x + 2 \| + 3$
191052	Solve Using the Quadratic Formula	x^2-11x+56=5x+13	$x^{2} - 11 x + 56 = 5 x + 13$
191053	Simplify	sixth root of (64a^12)/(729b^6)	$\sqrt[6]{\frac{64 a^{12}}{729 b^{6}}}$
191054	Find the End Behavior	f(x)=1/2x(x+5)(x-3) ?	$f (x) = \frac{1}{2} x (x + 5) (x - 3)$ ?
191055	Solve for t	c=3(t-5)	$c = 3 (t - 5)$
191056	Find the Domain and Range	f(x) = square root of 2	$f (x) = \sqrt{2}$
191057	Simplify	4+(11-3)^2	$4 + {(11 - 3)}^{2}$
191058	Solve the Inequality for x	(5-x)/(2x+1)>=3	$\frac{5 - x}{2 x + 1} \geq 3$
191059	Solve the System of Inequalities	5+x>=3 or 6x+1<-29	$5 + x \geq 3$ or $6 x + 1 < - 29$
191060	Convert to Interval Notation	5x-7(x+1)>-9	$5 x - 7 (x + 1) > - 9$
191061	Solve for s	3s(s-2)=12s	$3 s (s - 2) = 12 s$
191062	Simplify	5/(-2(x+4)^2+6(x+4))	$\frac{5}{- 2 {(x + 4)}^{2} + 6 (x + 4)}$
191063	Evaluate	1-(-3+6+1)-(4-(6-3+1)-2)	$1 - (- 3 + 6 + 1) - (4 - (6 - 3 + 1) - 2)$
191064	Find the GCF	12t^3+30t^2+48t	$12 t^{3} + 30 t^{2} + 48 t$
191065	Write in Standard Form	x(5-2x)+15=0	$x (5 - 2 x) + 15 = 0$
191066	Solve for x	x/4+3=1/2(1-x/3)	$\frac{x}{4} + 3 = \frac{1}{2} (1 - \frac{x}{3})$
191067	Find h(f(x))	f(x)=8x^3+5 h(x) = cube root of x-5	$f (x) = 8 x^{3} + 5$ $h (x) = \sqrt[3]{x - 5}$
191068	Solve for x	2/3(3x+1)=5	$\frac{2}{3} (3 x + 1) = 5$
191069	Solve for x	1+1/(x-7)=x/(x^2-11x+28)	$1 + \frac{1}{x - 7} = \frac{x}{x^{2} - 11 x + 28}$
191070	Simplify	((10rs^3)/(2s^4))÷((2s^4)/(10r^2s^2))	$\frac{10 r s^{3}}{2 s^{4}} \div \frac{2 s^{4}}{10 r^{2} s^{2}}$
191071	Solve for h	3/4h-12=8 5/8	$\frac{3}{4} h - 12 = 8 \frac{5}{8}$
191072	Graph	(3x+3)/(x^2+x-6)	$\frac{3 x + 3}{x^{2} + x - 6}$
191073	Find All Complex Solutions	theta=pi/6	$θ = \frac{π}{6}$
191074	Solve the Inequality for x	(3-x)(x+1)(x+5)>=0	$(3 - x) (x + 1) (x + 5) \geq 0$
191075	Find the Exact Value	sin(15 degrees )cos(15 degrees )+cos(15 degrees )sin(15 degrees )	$\sin (15 °) \cos (15 °) + \cos (15 °) \sin (15 °)$
191076	Evaluate	-1/8-(-1/6)	$- \frac{1}{8} - (- \frac{1}{6})$
191077	Solve for x	-1+5/2=(x+7)/10	$- 1 + \frac{5}{2} = \frac{x + 7}{10}$
191078	Evaluate	-1/3+7/9-5/18	$- \frac{1}{3} + \frac{7}{9} - \frac{5}{18}$
191079	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5 ?	What is the equation of the line that passes through the point $(5, - 2)$ and has a slope of $\frac{6}{5}$ ?
191080	Solve for x	-3x(x-10)(81x^2-49)=0	$- 3 x (x - 10) (81 x^{2} - 49) = 0$
191081	Solve the Inequality for t	-5-t/6>=-9	$- 5 - \frac{t}{6} \geq - 9$
191082	Solve for k	square root of 2k^2+17-7=0	$\sqrt{2 k^{2} + 17} - 7 = 0$
191083	Find All Complex Solutions	2cos(2theta)+1=0	$2 \cos (2 θ) + 1 = 0$
191084	Factor	64ab^5-14a^3b^6+44a^3b^2	$64 a b^{5} - 14 a^{3} b^{6} + 44 a^{3} b^{2}$
191085	Simplify	square root of -3/2	$\sqrt{- \frac{3}{2}}$
191086	Solve for j	\|9-2j\|+10>=2	$\| 9 - 2 j \| + 10 \geq 2$
191087	Simplify	5/(4x^2-8x)+(5x)/(x-1)	$\frac{5}{4 x^{2} - 8 x} + \frac{5 x}{x - 1}$
191088	Find the Roots (Zeros)	3x^4-4x^3+x^2+6x-2	$3 x^{4} - 4 x^{3} + x^{2} + 6 x - 2$
191089	Find the x and y Intercepts	R(x)=(x+8)/(x(x+13))	$R (x) = \frac{x + 8}{x (x + 13)}$
191090	Evaluate Using the Given Value	5(x-1)-2 when x=3	$5 (x - 1) - 2$ when $x = 3$
191091	Write in Standard Form	((x+2)^2)/5+((x-2)^2)/3=16/3	$\frac{{(x + 2)}^{2}}{5} + \frac{{(x - 2)}^{2}}{3} = \frac{16}{3}$
191092	Simplify	1/2*( square root of 2)/2	$\frac{1}{2} \cdot \frac{\sqrt{2}}{2}$
191093	Solve for x	1/2-(5/4x+8)=-(-2x+5)-1	$\frac{1}{2} - (\frac{5}{4} x + 8) = - (- 2 x + 5) - 1$
191094	Solve for x	E=1/2kx^2	$E = \frac{1}{2} k x^{2}$
191095	Find the Distance Between Two Points	(-8,-6) and (-3,-4)	$(- 8, - 6)$ and $(- 3, - 4)$
191096	Simplify	(2/x+1/(3x^2))/(1+1/(6x))	$\frac{\frac{2}{x} + \frac{1}{3 x^{2}}}{1 + \frac{1}{6 x}}$
191097	Evaluate	(x-y)(x^2+xy+y^2)	$(x - y) (x^{2} + x y + y^{2})$
191098	Solve the System of Equations	6w-8z=16 3w-4z=8	$6 w - 8 z = 16$ $3 w - 4 z = 8$
191099	Solve for x	x^0=1	$x^{0} = 1$
191100	Solve for x	x^4-5x^2=-6	$x^{4} - 5 x^{2} = - 6$