Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191701	Find the Domain and Range	y=1/3(x-4)^2	$y = \frac{1}{3} {(x - 4)}^{2}$
191702	Solve for B	A=2CD+2CB+2DB	$A = 2 C D + 2 C B + 2 D B$
191703	Graph Using a Table of Values	f(x)=2x^2-1	$f (x) = 2 x^{2} - 1$
191704	Solve for a	d=v_0t+1/2at^2	$d = v_{0} t + \frac{1}{2} a t^{2}$
191705	Solve the Absolute Value Inequality for b	\|3b+9\|-16=-52	$\| 3 b + 9 \| - 16 = - 52$
191706	Solve the Inequality for x	(x^2+1)(x+5)(x-3)<=0	$(x^{2} + 1) (x + 5) (x - 3) \leq 0$
191707	Solve for x	5(x-3)-(2x-1)=-8(4-1/2x)	$5 (x - 3) - (2 x - 1) = - 8 (4 - \frac{1}{2} x)$
191708	Simplify the Radical Expression	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
191709	Find the Domain and Range	F(x)=-\|x+2\|	$F (x) = - \| x + 2 \|$
191710	Find the Holes in the Graph	(4x-8)/(x^2-4x+4)	$\frac{4 x - 8}{x^{2} - 4 x + 4}$
191711	Solve for x	3^(x+1)>243	$3^{x + 1} > 243$
191712	Graph Using a Table of Values	y=g(x)	$y = g (x)$
191713	Graph	x/3-y/6=1	$\frac{x}{3} - \frac{y}{6} = 1$
191714	Evaluate	(1+1/1)^1	${(1 + \frac{1}{1})}^{1}$
191715	Solve the Inequality for x	x^3-3x^2>0	$x^{3} - 3 x^{2} > 0$
191716	Solve the Inequality for x	x-6>4/x	$x - 6 > \frac{4}{x}$
191717	Simplify	(5/4x-1/3)^2	${(\frac{5}{4} x - \frac{1}{3})}^{2}$
191718	Solve for d	10d+10(9)=210	$10 d + 10 (9) = 210$
191719	Solve for x	(3x)/(x-8)+(x+5)/(x-1)=(3x)/(x-8)	$\frac{3 x}{x - 8} + \frac{x + 5}{x - 1} = \frac{3 x}{x - 8}$
191720	Graph	(1/2,0)	$(\frac{1}{2}, 0)$
191721	Simplify	3 square root of 2+4 square root of 3-8 square root of 2	$3 \sqrt{2} + 4 \sqrt{3} - 8 \sqrt{2}$
191722	Evaluate	\|5+-3--2\|	$\| 5 + - 3 - - 2 \|$
191723	Simplify	a/6+(3a)/6	$\frac{a}{6} + \frac{3 a}{6}$
191724	Combine Like Terms	(x^2+8x+8)+(-10x^2+5x)	$(x^{2} + 8 x + 8) + (- 10 x^{2} + 5 x)$
191725	Solve the Inequality for R	24+12R>=100	$24 + 12 R \geq 100$
191726	Multiply	(cos(theta))/(1+csc(theta))*(1-csc(theta))/(1-csc(theta))	$\frac{\cos (θ)}{1 + \csc (θ)} \cdot \frac{1 - \csc (θ)}{1 - \csc (θ)}$
191727	Solve by Addition/Elimination	3x+4y=6 and -3x+5y=12	$3 x + 4 y = 6$ and $- 3 x + 5 y = 12$
191728	Simplify	25 square root of 5-29 square root of 6+14 square root of 5-6 square root of 6	$25 \sqrt{5} - 29 \sqrt{6} + 14 \sqrt{5} - 6 \sqrt{6}$
191729	Simplify	4x^3*2x^3	$4 x^{3} \times 2 x^{3}$
191730	Solve for x	5-3(x-2)+8=10	$5 - 3 (x - 2) + 8 = 10$
191731	Solve the Inequality for z	-1/5z+2/3<=2	$- \frac{1}{5} z + \frac{2}{3} \leq 2$
191732	Factor	12a^3b+8a^2b^2-20ab^3	$12 a^{3} b + 8 a^{2} b^{2} - 20 a b^{3}$
191733	Evaluate	f(-2)+g(-2)	$f (- 2) + g (- 2)$
191734	Solve for r	square root of 4r-6 = square root of r	$\sqrt{4 r - 6} = \sqrt{r}$
191735	Solve the Inequality for x	3x-1<=2x+4	$3 x - 1 \leq 2 x + 4$
191736	Solve for x	x-6=-x^2	$x - 6 = - x^{2}$
191737	Simplify	8r+12p-7-3p	$8 r + 12 p - 7 - 3 p$
191738	Evaluate	((2^5)/(x^2))^4	${(\frac{2^{5}}{x^{2}})}^{4}$
191739	Describe the Transformation	y=-f(x+3)	$y = - f (x + 3)$
191740	Find the Excluded Values	(12x+36)/(x^2-4x-21)	$\frac{12 x + 36}{x^{2} - 4 x - 21}$
191741	Simplify	(x^(2a+3))/(x^(a-3))	$\frac{x^{2 a + 3}}{x^{a - 3}}$
191742	Solve for d	3d+4=2+3d-1/2	$3 d + 4 = 2 + 3 d - \frac{1}{2}$
191743	Simplify the Radical Expression	8/( seventh root of x^15)	$\frac{8}{\sqrt[7]{x^{15}}}$
191744	Solve for f	(df+10)/6=g ; for f	$\frac{d f + 10}{6} = g$ ; for $f$
191745	Solve for d	3/2(d+12)=1/2(2d-6)	$\frac{3}{2} (d + 12) = \frac{1}{2} (2 d - 6)$
191746	Solve for q	5=(5(12)q+3(20))/(2(12))	$5 = \frac{5 (12) q + 3 (20)}{2 (12)}$
191747	Simplify	(2x+1)^2-2(2x^2-1)	${(2 x + 1)}^{2} - 2 (2 x^{2} - 1)$
191748	Solve for m	10-m=m-10	$10 - m = m - 10$
191749	Simplify	1-(sec(x)^2-tan(x)^2)	$1 - (\sec^{2} (x) - \tan^{2} (x))$
191750	Find the Product	(x+h)^2	${(x + h)}^{2}$
191751	Find the Equation Using Slope-Intercept Form	m=4/15 ; passes through (5,6)	$m = \frac{4}{15}$ ; passes through $(5, 6)$
191752	Find the Exact Value	sin(180 degrees -30 degrees )	$\sin (180 ° - 30 °)$
191753	Simplify	(x/(3x-1))÷((x-2)/(2x))	$\frac{x}{3 x - 1} \div \frac{x - 2}{2 x}$
191754	Solve for x	natural log of x-5/2+ natural log of 10=2 natural log of x	$\ln (x - \frac{5}{2}) + \ln (10) = 2 \ln (x)$
191755	Solve for x	-1/2(-6x-5/2)+1=9x	$- \frac{1}{2} (- 6 x - \frac{5}{2}) + 1 = 9 x$
191756	Graph	-1/2(x+1)(x-1)^2(x-2)	$- \frac{1}{2} (x + 1) {(x - 1)}^{2} (x - 2)$
191757	Complete the Square	n^2+(2n)/3	$n^{2} + \frac{2 n}{3}$
191758	Solve for x	9-2(x+4)-10(25-x+4)=5-3x-4(x+1)	$9 - 2 (x + 4) - 10 (25 - x + 4) = 5 - 3 x - 4 (x + 1)$
191759	Simplify	3/2x-y+1/2x+3y	$\frac{3}{2} x - y + \frac{1}{2} x + 3 y$
191760	Evaluate	cos(x)*cos(x)	$\cos (x) \cdot \cos (x)$
191761	Solve for x	w=2yz+2yx+2zx	$w = 2 y z + 2 y x + 2 z x$
191762	Graph	y=( square root of 3x)/3	$y = \frac{\sqrt{3} x}{3}$
191763	Solve for f₁	A=(f_1f_2)/(f_1+f_2)	$A = \frac{f_{1} f_{2}}{f_{1} + f_{2}}$
191764	Solve for x	6x+4x-6=4x+5x+10	$6 x + 4 x - 6 = 4 x + 5 x + 10$
191765	Simplify	(10/(x+1))/(1/2+3/(x+1))	$\frac{\frac{10}{x + 1}}{\frac{1}{2} + \frac{3}{x + 1}}$
191766	Solve for C	F=(9/5*C)+32	$F = (\frac{9}{5} \times C) + 32$
191767	Solve for x	2/5(2)^x=64/5	$\frac{2}{5} {(2)}^{x} = \frac{64}{5}$
191768	Evaluate	(4r^0)^4	${(4 r^{0})}^{4}$
191769	Solve for x	4/(x-2)+3/x=(7x)/(x^2-4)	$\frac{4}{x - 2} + \frac{3}{x} = \frac{7 x}{x^{2} - 4}$
191770	Solve for s	s=2pi*3(3+5)	$s = 2 π \cdot 3 (3 + 5)$
191771	Solve for z	z^2+11z+9=5z	$z^{2} + 11 z + 9 = 5 z$
191772	Find the Holes in the Graph	f(x)=-4/(x^2-3x)	$f (x) = - \frac{4}{x^{2} - 3 x}$
191773	Find the Degree, Leading Term, and Leading Coefficient	-2x^5-3x^4-x^3-6x^2+6x+4	$- 2 x^{5} - 3 x^{4} - x^{3} - 6 x^{2} + 6 x + 4$
191774	Combine Like Terms	10k+1+8k+2	$10 k + 1 + 8 k + 2$
191775	Solve for y	(3y+1)/(y+2)=(3y-2)/(y+1)	$\frac{3 y + 1}{y + 2} = \frac{3 y - 2}{y + 1}$
191776	Graph	y=- cube root of -x	$y = - \sqrt[3]{- x}$
191777	Find the Domain and Range	y=1/4x^2	$y = \frac{1}{4} x^{2}$
191778	Simplify	(2+7-1)÷(2^2)	$(2 + 7 - 1) \div 2^{2}$
191779	Evaluate	x+x+x	$x + x + x$
191780	Solve the Inequality for x	x^2+x>=6	$x^{2} + x \geq 6$
191781	Solve Using the Quadratic Formula	(w+1)/2-(w+2)/4=7	$\frac{w + 1}{2} - \frac{w + 2}{4} = 7$
191782	Solve for x	5/(2x)-2/3=1/x+5/6	$\frac{5}{2 x} - \frac{2}{3} = \frac{1}{x} + \frac{5}{6}$
191783	Graph	f(x)=x^2-4 , x>=0	$f (x) = x^{2} - 4$ , $x \geq 0$
191784	Solve for x	2+(x+8)/3+1=0	$2 + \frac{x + 8}{3} + 1 = 0$
191785	Evaluate	(-2/x+5/y)/(3/y-2/x)	$\frac{\frac{- 2}{x} + \frac{5}{y}}{\frac{3}{y} - \frac{2}{x}}$
191786	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10x^2-2+2x^3+8x^6-4x	$f (x) = 10 x^{2} - 2 + 2 x^{3} + 8 x^{6} - 4 x$
191787	Solve for x	natural log of 5x-2 natural log of x^2=0	$\ln (5 x) - 2 \ln (x^{2}) = 0$
191788	Find the Holes in the Graph	f(x)=(4x)/(x^3+2x^2-3x)	$f (x) = \frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
191789	Solve for x	(2x)/(x+4)=x/(x-1)	$\frac{2 x}{x + 4} = \frac{x}{x - 1}$
191790	Solve for j	(j-5)/2=(j+8)/7	$\frac{j - 5}{2} = \frac{j + 8}{7}$
191791	Solve for x	3(7x+2)(4x^2-81)=0	$3 (7 x + 2) (4 x^{2} - 81) = 0$
191792	Solve for x	2cos(x/3)- square root of 2=0	$2 \cos (\frac{x}{3}) - \sqrt{2} = 0$
191793	Solve for w	6w+7>=10w+2	$6 w + 7 \geq 10 w + 2$
191794	Graph	g(x)=-2x^3-4x^2+6x	$g (x) = - 2 x^{3} - 4 x^{2} + 6 x$
191795	Divide	(6x^2y^4-12x^4y^2)/(2x^2)	$\frac{6 x^{2} y^{4} - 12 x^{4} y^{2}}{2 x^{2}}$
191796	Solve for h	6h-(9-3h)=6-3(h+2)	$6 h - (9 - 3 h) = 6 - 3 (h + 2)$
191797	Solve for x	(1/16)^(2x+5)=(1/64)^(x-1)	${(\frac{1}{16})}^{2 x + 5} = {(\frac{1}{64})}^{x - 1}$
191798	Find the Domain and Range	y = square root of -x-3+4	$y = \sqrt{- x - 3} + 4$
191799	Solve for x	(4x-7)^2+16=40x-70	${(4 x - 7)}^{2} + 16 = 40 x - 70$
191800	Solve for v	5.7+67v=-9.3+65v	$5.7 + 67 v = - 9.3 + 65 v$