Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
159001	Graph Using a Table of Values	y=5^x	$y = 5^{x}$
159002	Solve the Inequality for x	x-4<-5	$x - 4 < - 5$
159003	Graph Using a Table of Values	y = cube root of x	$y = \sqrt[3]{x}$
159004	Solve for h	A=1/2bh for h	$A = \frac{1}{2} b h$ for $h$
159005	Solve for x	-1=2x+7/3	$- 1 = 2 x + \frac{7}{3}$
159006	Simplify	2 square root of 3* square root of 3	$2 \sqrt{3} \cdot \sqrt{3}$
159007	Graph	f(x)=6 if x<-4; -10+x^2 if -4<=x<4; 2x-2 if x>=4	$f (x) = {\begin{cases} 6 & x < - 4 \\ - 10 + x^{2} & - 4 \leq x < 4 \\ 2 x - 2 & x \geq 4 \end{cases}$
159008	Graph	y=f(-x)+3	$y = f (- x) + 3$
159009	Solve for x	\|x-2\|=\|4+x\|	$\| x - 2 \| = \| 4 + x \|$
159010	Find the Exact Value	fourth root of 625	$\sqrt[4]{625}$
159011	Solve for q	9q-8q+q=14	$9 q - 8 q + q = 14$
159012	Find the Sum and Product of the Roots of the Quadratic Equation	6x^2+12x-18=0	$6 x^{2} + 12 x - 18 = 0$
159013	Solve the Inequality for x	5(3-x)<-2x+6	$5 (3 - x) < - 2 x + 6$
159014	Solve for k	14k+3k-16k=5	$14 k + 3 k - 16 k = 5$
159015	Graph	(-2,6)	$(- 2, 6)$
159016	Evaluate	(x+3)(x-3)	$(x + 3) (x - 3)$
159017	Find the Product	(x-y)^2	${(x - y)}^{2}$
159018	Solve the Absolute Value Inequality for x	\|x\|=7	$\| x \| = 7$
159019	Solve for x	x+5<=13	$x + 5 \leq 13$
159020	Simplify	(x^3-x^2+4)-(3x^3-2x^2+3)	$(x^{3} - x^{2} + 4) - (3 x^{3} - 2 x^{2} + 3)$
159021	Solve for t	3t-t-t=14	$3 t - t - t = 14$
159022	Simplify	1/2(8x+2)	$\frac{1}{2} (8 x + 2)$
159023	Simplify	((18x^2y)/(5ab))÷((6xy^3)/(20a^2b))	$\frac{18 x^{2} y}{5 a b} \div \frac{6 x y^{3}}{20 a^{2} b}$
159024	Write in Standard Form	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
159025	Graph	(0,-6)	$(0, - 6)$
159026	Graph	y=x+5 and y=5x+5	$y = x + 5$ and $y = 5 x + 5$
159027	Solve for x	2x+8=2(x+4)	$2 x + 8 = 2 (x + 4)$
159028	Evaluate	(2pi)/((5pi)/2)	$\frac{2 π}{\frac{5 π}{2}}$
159029	Find the Function	f(x)=2x^2	$f (x) = 2 x^{2}$
159030	Factor	96-48mn^2+144n^3	$96 - 48 m n^{2} + 144 n^{3}$
159031	Solve for m	-(6m+8)=4(17-m)	$- (6 m + 8) = 4 (17 - m)$
159032	Find the Roots (Zeros)	x^2-1=0	$x^{2} - 1 = 0$
159033	Solve the Inequality for x	4x-1<11	$4 x - 1 < 11$
159034	Solve for x	(2x)/(x+1)+5/(2x)=2	$\frac{2 x}{x + 1} + \frac{5}{2 x} = 2$
159035	Solve the Absolute Value Inequality for x	\|2x-3\|=7	$\| 2 x - 3 \| = 7$
159036	Find the Function	f(x)=2x+4	$f (x) = 2 x + 4$
159037	Solve the System of Equations	y=6x-11 -2x-3y=-7	$y = 6 x - 11$ $- 2 x - 3 y = - 7$
159038	Factor	3x^3-9ax^2-x+3a	$3 x^{3} - 9 a x^{2} - x + 3 a$
159039	Solve for q	16q+2q-13q=15	$16 q + 2 q - 13 q = 15$
159040	Find the Exact Value	10-10*10+10	$10 - 10 \cdot 10 + 10$
159041	Solve for x	x^3+x=0	$x^{3} + x = 0$
159042	Solve the Inequality for x	x^2+3x-10>0	$x^{2} + 3 x - 10 > 0$
159043	Graph	y=-f(x+4)	$y = - f (x + 4)$
159044	Find the Product	(3x-2)^2	${(3 x - 2)}^{2}$
159045	Simplify	(-2^3)^-2	${(- 2^{3})}^{- 2}$
159046	Find the Product	2x(x-4)	$2 x (x - 4)$
159047	Graph	f(x)=-x+2 if x<=1; 5x-2 if x>1	$f (x) = {\begin{cases} - x + 2 & x \leq 1 \\ 5 x - 2 & x > 1 \end{cases}$
159048	Solve the Inequality for x	12-6x>24	$12 - 6 x > 24$
159049	Simplify	(f(a+h)-f(a))/h	$\frac{f (a + h) - f (a)}{h}$
159050	Solve for x	A=(CD)/x	$A = \frac{C D}{x}$
159051	Simplify	(-1/2)^2	${(- \frac{1}{2})}^{2}$
159052	Solve for x	-3/5+7/(6x)=7/(3x)	$- \frac{3}{5} + \frac{7}{6 x} = \frac{7}{3 x}$
159053	Divide	(7/8)÷(3/4)	$\frac{7}{8} \div \frac{3}{4}$
159054	Evaluate	-1-3-(-9)+(-5)	$- 1 - 3 - (- 9) + (- 5)$
159055	Find the Product	(2x+3)(2x-3)	$(2 x + 3) (2 x - 3)$
159056	Evaluate	4/3pi(5)^3	$\frac{4}{3} π {(5)}^{3}$
159057	Solve for x	(2x-1)(x+4)=0	$(2 x - 1) (x + 4) = 0$
159058	Solve for d	-9d+12d=15	$- 9 d + 12 d = 15$
159059	Find the Product	(a+b)(a-b)	$(a + b) (a - b)$
159060	Graph	f(x)=-5x+3 if x<=2; x-4 if x>2	$f (x) = {\begin{cases} - 5 x + 3 & x \leq 2 \\ x - 4 & x > 2 \end{cases}$
159061	Simplify	((18xy^3)/(5a^2b))÷((6x^2y)/(20ab))	$\frac{18 x y^{3}}{5 a^{2} b} \div \frac{6 x^{2} y}{20 a b}$
159062	Simplify	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
159063	Solve for θ	sin(theta)=-1	$\sin (θ) = - 1$
159064	Solve the Absolute Value Inequality for x	\|-4+5x\|=16	$\| - 4 + 5 x \| = 16$
159065	Find the Product	(x-2)^3	${(x - 2)}^{3}$
159066	Graph	g(x)=1/3f(x)	$g (x) = \frac{1}{3} f (x)$
159067	Simplify	(2+i)/(2-i)	$\frac{2 + i}{2 - i}$
159068	Factor	x^2-a^2+x-a^2x	$x^{2} - a^{2} + x - a^{2} x$
159069	Solve Using the Quadratic Formula	x^2+x	$x^{2} + x$
159070	Solve for θ	2sin(theta)-1=0	$2 \sin (θ) - 1 = 0$
159071	Solve for r	1.5r+15=2.25r	$1.5 r + 15 = 2.25 r$
159072	Solve for x	-2(x-5)+6=4-6(x+5)	$- 2 (x - 5) + 6 = 4 - 6 (x + 5)$
159073	Simplify	square root of 2a* square root of 14a^3* square root of 5a	$\sqrt{2 a} \cdot \sqrt{14 a^{3}} \cdot \sqrt{5 a}$
159074	Simplify	(2 square root of 3)/( square root of 6)	$\frac{2 \sqrt{3}}{\sqrt{6}}$
159075	Solve for x	x^2+14x+17=-96	$x^{2} + 14 x + 17 = - 96$
159076	Solve for C	R=5(C/A-0.3)	$R = 5 (\frac{C}{A} - 0.3)$
159077	Simplify	1/2(3/5x-8)+7/4(2/5x+4)	$\frac{1}{2} (\frac{3}{5} x - 8) + \frac{7}{4} (\frac{2}{5} x + 4)$
159078	Evaluate	(x-y)^2	${(x - y)}^{2}$
159079	Solve for m	-3/4m-1/2=2+1/4m	$- \frac{3}{4} m - \frac{1}{2} = 2 + \frac{1}{4} m$
159080	Factor	-36-42x^2	$- 36 - 42 x^{2}$
159081	Simplify	square root of 12-2/5 square root of 75	$\sqrt{12} - \frac{2}{5} \sqrt{75}$
159082	Graph	f(x)=-x+3 if x<2; 2x-3 if x>=2	$f (x) = {\begin{cases} - x + 3 & x < 2 \\ 2 x - 3 & x \geq 2 \end{cases}$
159083	Solve Using the Quadratic Formula	8q(q-2)+10=0	$8 q (q - 2) + 10 = 0$
159084	Solve for x	-7/(4x)+5/(6x)=1	$- \frac{7}{4 x} + \frac{5}{6 x} = 1$
159085	Factor	-36+20x^4	$- 36 + 20 x^{4}$
159086	Write in Standard Form	f(x)=x^2+2x-1	$f (x) = x^{2} + 2 x - 1$
159087	Solve for y	-6y+13+9y=8y-3	$- 6 y + 13 + 9 y = 8 y - 3$
159088	Solve for x	z=m-x	$z = m - x$
159089	Solve the Inequality for x	2(4x-3)>=-3(3x)+5x	$2 (4 x - 3) \geq - 3 (3 x) + 5 x$
159090	Simplify	(3x^2y^-3)/(12x^6y^3)	$\frac{3 x^{2} y^{- 3}}{12 x^{6} y^{3}}$
159091	Solve the Inequality for m	4-2m>7-3m	$4 - 2 m > 7 - 3 m$
159092	Solve the Inequality for t	-6t<12	$- 6 t < 12$
159093	Simplify	2 square root of 2*2 square root of 2	$2 \sqrt{2} \cdot 2 \sqrt{2}$
159094	Graph Using a Table of Values	y=\|x\|	$y = \| x \|$
159095	Graph	y=(-1/2x)^2	$y = {(- \frac{1}{2} x)}^{2}$
159096	Solve for x	7+2ax=13	$7 + 2 a x = 13$
159097	Solve the Inequality for x	1/x>2	$\frac{1}{x} > 2$
159098	Find the Product	(x-8)^2	${(x - 8)}^{2}$
159099	Graph	f(x)=x-3 if x<=-2; 4x+5 if x>-2	$f (x) = {\begin{cases} x - 3 & x \leq - 2 \\ 4 x + 5 & x > - 2 \end{cases}$
159100	Solve for q	q^2+q=0	$q^{2} + q = 0$