Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
158601	Graph	f(x)=-2x+3 if x<2; x-3 if x>=2	$f (x) = {\begin{cases} - 2 x + 3 & x < 2 \\ x - 3 & x \geq 2 \end{cases}$
158602	Write in Standard Form	(x+1)(x+4)=8	$(x + 1) (x + 4) = 8$
158603	Solve for x	x+3(x-1)=6-4(2x+3)	$x + 3 (x - 1) = 6 - 4 (2 x + 3)$
158604	Solve for x	3^3=3^(4x+2)	$3^{3} = 3^{4 x + 2}$
158605	Solve for t	5t+16=6-5t	$5 t + 16 = 6 - 5 t$
158606	Find the Degree	5z^3-2z^4-9z^2+z	$5 z^{3} - 2 z^{4} - 9 z^{2} + z$
158607	Find the Exact Value	cos(arctan(u))	$\cos (\arctan (u))$
158608	Solve for x	-2(-3x-2)-5x+3=-2	$- 2 (- 3 x - 2) - 5 x + 3 = - 2$
158609	Solve for θ	cos(theta)=( square root of 2)/2	$\cos (θ) = \frac{\sqrt{2}}{2}$
158610	Find the Product	(x+y)(x-y)	$(x + y) (x - y)$
158611	Describe the Transformation	y=-f(x)	$y = - f (x)$
158612	Solve the Inequality for x	((x+12)(x-4))/(x-1)>=0	$\frac{(x + 12) (x - 4)}{x - 1} \geq 0$
158613	Solve for x	3(-4x-3)+5x-5=0	$3 (- 4 x - 3) + 5 x - 5 = 0$
158614	Find the Exact Value	sin(arctan(x))	$\sin (\arctan (x))$
158615	Solve for x	3(x-2)+x-1=5	$3 (x - 2) + x - 1 = 5$
158616	Find the Exact Value	log base 3 of 81	$\log_{3} (81)$
158617	Find the Function	f(x)=0	$f (x) = 0$
158618	Divide	x÷x	$x \div x$
158619	Solve the Absolute Value Inequality for x	\|2x-1\|=3	$\| 2 x - 1 \| = 3$
158620	Find the Inverse	F(C)=9/5C+32	$F (C) = \frac{9}{5} C + 32$
158621	Solve for n	-4\|8-5n\|=13	$- 4 \| 8 - 5 n \| = 13$
158622	Solve for h	2(h+1)=5h-7	$2 (h + 1) = 5 h - 7$
158623	Evaluate	(3x)^2	${(3 x)}^{2}$
158624	Solve for x	2(-2x+2)-3x+3=0	$2 (- 2 x + 2) - 3 x + 3 = 0$
158625	Simplify	3(7/5x+4)-2(3/2-5/4x)	$3 (\frac{7}{5} x + 4) - 2 (\frac{3}{2} - \frac{5}{4} x)$
158626	Find the Exact Value	log base 2 of 8	$\log_{2} (8)$
158627	Solve the Inequality for x	((x+3)(x-2))/((x+2)(x-1))>=0	$\frac{(x + 3) (x - 2)}{(x + 2) (x - 1)} \geq 0$
158628	Graph	f(x)=x-4 if x<2; -2x+2 if x>=2	$f (x) = {\begin{cases} x - 4 & x < 2 \\ - 2 x + 2 & x \geq 2 \end{cases}$
158629	Find the Function	f(x)=3^x	$f (x) = 3^{x}$
158630	Graph	f(x)=3x+1 if x<-2; x-3 if x>=-2	$f (x) = {\begin{cases} 3 x + 1 & x < - 2 \\ x - 3 & x \geq - 2 \end{cases}$
158631	Factor	24a-12ab	$24 a - 12 a b$
158632	Find the Function	f(x)=x	$f (x) = x$
158633	Solve the Inequality for x	x^2-5x+6<0	$x^{2} - 5 x + 6 < 0$
158634	Graph	e	$e$
158635	Solve for r	A=P+Prt for r	$A = P + P r t$ for $r$
158636	Subtract	1/2-2	$\frac{1}{2} - 2$
158637	Evaluate	(-x)^2	${(- x)}^{2}$
158638	Solve for x	5x-2+x=9+3x+10	$5 x - 2 + x = 9 + 3 x + 10$
158639	Solve for z	5/3z+1=3-2/3z	$\frac{5}{3} z + 1 = 3 - \frac{2}{3} z$
158640	Graph Using a Table of Values	y=3x^2	$y = 3 x^{2}$
158641	Solve for x	3(x-2)-2x+3=-12	$3 (x - 2) - 2 x + 3 = - 12$
158642	Solve for v	5v-1/2=4+3/2v	$5 v - \frac{1}{2} = 4 + \frac{3}{2} v$
158643	Solve the Inequality for x	x^2-1>0	$x^{2} - 1 > 0$
158644	Graph	y+2=1/2(x+2)	$y + 2 = \frac{1}{2} (x + 2)$
158645	Graph	y=(1/2x)^2	$y = {(\frac{1}{2} x)}^{2}$
158646	Solve for x	2/(x+3)+3/2=19/10	$\frac{2}{x + 3} + \frac{3}{2} = \frac{19}{10}$
158647	Solve for p	2/3-2p=5+4/3p	$\frac{2}{3} - 2 p = 5 + \frac{4}{3} p$
158648	Graph Using a Table of Values	f(x) = square root of x	$f (x) = \sqrt{x}$
158649	Solve for W	W/(Kx)=y	$\frac{W}{K x} = y$
158650	Find the Exact Value	(1/2)^2	${(\frac{1}{2})}^{2}$
158651	Simplify	sixth root of x* fourth root of y^3	$\sqrt[6]{x} \cdot \sqrt[4]{y^{3}}$
158652	Simplify	csc(theta)cot(theta)^2+csc(theta)	$\csc (θ) \cot^{2} (θ) + \csc (θ)$
158653	Graph	(2,infinity)	$(2, \infty)$
158654	Describe the Transformation	y=f(-x)	$y = f (- x)$
158655	Solve for y₂	m=(y_2-y_1)/(x_2-x_1)	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
158656	Graph	(0,infinity)	$(0, \infty)$
158657	Solve for x	F(x)=ax^2+bx+c	$F (x) = a x^{2} + b x + c$
158658	Find the Holes in the Graph	f(x)=(x^2-9)/(x-3)	$f (x) = \frac{x^{2} - 9}{x - 3}$
158659	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+4x-21=0	$x^{2} + 4 x - 21 = 0$
158660	Graph	g(x)=f(x)+2	$g (x) = f (x) + 2$
158661	Graph Using a Table of Values	y=f(x)	$y = f (x)$
158662	Solve for h	1/2h-3=3/2-3h	$\frac{1}{2} h - 3 = \frac{3}{2} - 3 h$
158663	Describe the Transformation	y=f(x)	$y = f (x)$
158664	Factor	34ax^2+51a^2y-68ay^2	$34 a x^{2} + 51 a^{2} y - 68 a y^{2}$
158665	Solve for x	34x+95=3(14x+9)	$34 x + 95 = 3 (14 x + 9)$
158666	Simplify the Radical Expression	square root of -18	$\sqrt{- 18}$
158667	Find the Intersection	f(x)=4x^2+2 , f(x)=4x+1	$f (x) = 4 x^{2} + 2$ , $f (x) = 4 x + 1$
158668	Factor	-3+3x^5	$- 3 + 3 x^{5}$
158669	Solve for v	ME=1/2mv^2+mgh	$M E = \frac{1}{2} m v^{2} + mg h$
158670	Solve for x	2+3/4x=x-3/4	$2 + \frac{3}{4} x = x - \frac{3}{4}$
158671	Graph	y=-g(x)	$y = - g (x)$
158672	Solve for x	8x-4+3x=7x+x+14	$8 x - 4 + 3 x = 7 x + x + 14$
158673	Graph Using a Table of Values	f(x)=2^(-x)	$f (x) = 2^{- x}$
158674	Solve the Inequality for x	6<x+5<=11	$6 < x + 5 \leq 11$
158675	Evaluate	square root of x^3	$\sqrt{x^{3}}$
158676	Evaluate	(4+((2-5)^2-4(7-5)^3+2(15/3)))- square root of 16	$(4 + ({(2 - 5)}^{2} - 4 {(7 - 5)}^{3} + 2 (\frac{15}{3}))) - \sqrt{16}$
158677	Graph	[0,infinity)	$[0, \infty)$
158678	Simplify the Radical Expression	square root of -16	$\sqrt{- 16}$
158679	Solve for g	3(4g+6)=2(6g+9)	$3 (4 g + 6) = 2 (6 g + 9)$
158680	Solve for θ	tan(theta)=- square root of 3	$\tan (θ) = - \sqrt{3}$
158681	Evaluate	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
158682	Simplify	5 square root of 2*9 square root of 6	$5 \sqrt{2} \cdot 9 \sqrt{6}$
158683	Solve by Factoring	9e-7=7e-11	$9 e - 7 = 7 e - 11$
158684	Solve for y	-3=7(y-9/7)	$- 3 = 7 (y - \frac{9}{7})$
158685	Graph	g(x)=1/3(x-6)^2+1	$g (x) = \frac{1}{3} {(x - 6)}^{2} + 1$
158686	Solve for T	A=P+PRT for T	$A = P + P R T$ for $T$
158687	Solve for s	26-4s=9s	$26 - 4 s = 9 s$
158688	Solve the Inequality for x	-4x+14<=54	$- 4 x + 14 \leq 54$
158689	Solve for y	2-1/8y=11+7/8y	$2 - \frac{1}{8} y = 11 + \frac{7}{8} y$
158690	Solve for m	4-3/5m=6/5m+2	$4 - \frac{3}{5} m = \frac{6}{5} m + 2$
158691	Simplify	-4/7p+(-2/7p)+1/7	$- \frac{4}{7} p + (- \frac{2}{7} p) + \frac{1}{7}$
158692	Solve for q	3-q=3/4+3/2q	$3 - q = \frac{3}{4} + \frac{3}{2} q$
158693	Solve for w	1/3w+5/6w-2=-w	$\frac{1}{3} w + \frac{5}{6} w - 2 = - w$
158694	Simplify	(2^(1/2)*2^(3/4))^2	${(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})}^{2}$
158695	Solve Using the Quadratic Formula	3x+1	$3 x + 1$
158696	Solve the Inequality for x	-3x+8<15	$- 3 x + 8 < 15$
158697	Solve for s	5/8-3/8s=2-s	$\frac{5}{8} - \frac{3}{8} s = 2 - s$
158698	Simplify	(3y^2+y^3-5)+(4y^2-4y+2y^3+8)	$(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)$
158699	Solve for x	v^2=v_0^2+2ax	$v^{2} = {v_{0}}^{2} + 2 a x$
158700	Simplify	(2a^2b^4z)(6a^3b^2z^5)	$(2 a^{2} b^{4} z) (6 a^{3} b^{2} z^{5})$