Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202701	Simplify	(3x^2-7x+2)/(x^2-4x+4)	$\frac{3 x^{2} - 7 x + 2}{x^{2} - 4 x + 4}$
202702	Write in Slope-Intercept Form	x-3y>12	$x - 3 y > 12$
202703	Simplify	(3x^2yz^4)^2	${(3 x^{2} y z^{4})}^{2}$
202704	Simplify	3/4 square root of 3/2	$\frac{3}{4} \sqrt{\frac{3}{2}}$
202705	Solve the Inequality for c	-3<=7c+4<18	$- 3 \leq 7 c + 4 < 18$
202706	Find the Domain and Range	f(x)=-x^4-7x^3-12x^2	$f (x) = - x^{4} - 7 x^{3} - 12 x^{2}$
202707	Solve by Substitution	y-5=x x=-2-y	$y - 5 = x$ $x = - 2 - y$
202708	Simplify the Radical Expression	square root of (48x^3)/(3xy^2)	$\sqrt{\frac{48 x^{3}}{3 x y^{2}}}$
202709	Simplify the Radical Expression	(32^3)^(1/5)	${(32^{3})}^{\frac{1}{5}}$
202710	Solve the Rational Equation for x	fourth root of 3x-5=-8	$\sqrt[4]{3 x} - 5 = - 8$
202711	Find f(g(x))	f(x)=2x+2 , g(x)=x/2-1	$f (x) = 2 x + 2$ , $g (x) = \frac{x}{2} - 1$
202712	Simplify	(1/3x-3)+(-3/4x-5)	$(\frac{1}{3} x - 3) + (- \frac{3}{4} x - 5)$
202713	Simplify	(40b^2+96b+56)/(56b+24)	$\frac{40 b^{2} + 96 b + 56}{56 b + 24}$
202714	Write in Standard Form	(6.110^-3)(810^9)	$(6.1 \times 10^{- 3}) (8 \times 10^{9})$
202715	Evaluate the Function	f(x)=x^3-6x^2+1 is concave down at x=1	$f (x) = x^{3} - 6 x^{2} + 1$ is concave down at $x = 1$
202716	Solve the System of Inequalities	-y+5>=9 or 3y+4<-5	$- y + 5 \geq 9$ or $3 y + 4 < - 5$
202717	Solve for y	19-1-17y=-19+20y	$19 - 1 - 17 y = - 19 + 20 y$
202718	Simplify	(2x)/(x^2-3x-4)+3/(5x^2-20x)	$\frac{2 x}{x^{2} - 3 x - 4} + \frac{3}{5 x^{2} - 20 x}$
202719	Solve by Addition/Elimination	2x-y=-22 y=7x+67	$2 x - y = - 22$ $y = 7 x + 67$
202720	Solve for y	square root of 2y=4	$\sqrt{2 y} = 4$
202721	Simplify	17(1/9x-1)+1/9x+1	$17 (\frac{1}{9} x - 1) + \frac{1}{9} x + 1$
202722	Solve for a	1/(a+2)+1/(a-2)=4/(a^2-4)	$\frac{1}{a + 2} + \frac{1}{a - 2} = \frac{4}{a^{2} - 4}$
202723	Evaluate	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
202724	Solve for x	(1/100)^(2x-8)=10^(2x^2+10x)	${(\frac{1}{100})}^{2 x - 8} = 10^{2 x^{2} + 10 x}$
202725	Evaluate	(m^4)/(2m^4)	$\frac{m^{4}}{2 m^{4}}$
202726	Write in Exponential Form	( square root of 2ab)^3	${(\sqrt{2 a b})}^{3}$
202727	Solve the System of Equations	x+2y=16 4y=x+8	$x + 2 y = 16$ $4 y = x + 8$
202728	Evaluate	-13+4*3+(-9+6)^5	$- 13 + 4 \cdot 3 + {(- 9 + 6)}^{5}$
202729	Simplify	((5x-10)/(2x))÷((3x-6)/(2x+8))	$\frac{5 x - 10}{2 x} \div \frac{3 x - 6}{2 x + 8}$
202730	Solve for a	11/(a+2)-10/(a+5)=36/(a^2+7a+10)	$\frac{11}{a + 2} - \frac{10}{a + 5} = \frac{36}{a^{2} + 7 a + 10}$
202731	Solve by Substitution	-6y+2=-4x y-2=x	$- 6 y + 2 = - 4 x$ $y - 2 = x$
202732	Solve for x	4(x-2)+3(x+1)=3(x-1)	$4 (x - 2) + 3 (x + 1) = 3 (x - 1)$
202733	Simplify	(3x+6)/(x+y)+6/(-x-y)	$\frac{3 x + 6}{x + y} + \frac{6}{- x - y}$
202734	Simplify	(tan(a)^2-sin(a)^2)/(tan(a)^2)	$\frac{\tan^{2} (a) - \sin^{2} (a)}{\tan^{2} (a)}$
202735	Solve for L	S=pirL+pir^2	$S = π r L + π r^{2}$
202736	Simplify	x^(2/3)+1/(x^(2/3))	$x^{\frac{2}{3}} + \frac{1}{x^{\frac{2}{3}}}$
202737	Solve for c	y=(ab)/(2c)	$y = \frac{a b}{2 c}$
202738	Solve for x	16^(2x-3)*4^(-2x)=16	$16^{2 x - 3} \cdot 4^{- 2 x} = 16$
202739	Solve for n	n+10>5	$n + 10 > 5$
202740	Solve for x	x/2+x/3=x-2	$\frac{x}{2} + \frac{x}{3} = x - 2$
202741	Solve by Graphing	y=x+7 y=-7/3x-3	$y = x + 7$ $y = - \frac{7}{3} x - 3$
202742	Simplify	5 square root of 4x-4-2 square root of x-1	$5 \sqrt{4 x - 4} - 2 \sqrt{x - 1}$
202743	Multiply	-2(x+6)(3x-5)	$- 2 (x + 6) (3 x - 5)$
202744	Convert to a Percentage	What percent of 25 is 12	What percent of $25$ is $12$
202745	Solve for x	2x+12/(x-3)=(4x)/(x-3)	$2 x + \frac{12}{x - 3} = \frac{4 x}{x - 3}$
202746	Find the Product	-4mn^3*(-3m^2n+12mn^2-6m+7n^2)	$- 4 m n^{3} \cdot (- 3 m^{2} n + 12 m n^{2} - 6 m + 7 n^{2})$
202747	Multiply	(b^3-5b^2+8)(-5b+4)	$(b^{3} - 5 b^{2} + 8) (- 5 b + 4)$
202748	Evaluate	a/b=c/d	$\frac{a}{b} = \frac{c}{d}$
202749	Simplify	-7/(5x)+(x+4)/x	$\frac{- 7}{5 x} + \frac{x + 4}{x}$
202750	Simplify	(x^-1+x^-1)/(2x^2)	$\frac{x^{- 1} + x^{- 1}}{2 x^{2}}$
202751	Simplify the Radical Expression	square root of 25(x+2)^4	$\sqrt{25 {(x + 2)}^{4}}$
202752	Graph	x+y-1<0	$x + y - 1 < 0$
202753	Solve for y	(y-1)(y-2)(y-3)=y^3-3y^2+2y	$(y - 1) (y - 2) (y - 3) = y^{3} - 3 y^{2} + 2 y$
202754	Graph	4^(3x+2)<64	$4^{3 x + 2} < 64$
202755	Multiply	5 square root of 20*3 square root of 8	$5 \sqrt{20} \cdot 3 \sqrt{8}$
202756	Solve for x	log base b of x=4 log base b of 2+ log base b of 3	$\log_{b} (x) = 4 \log_{b} (2) + \log_{b} (3)$
202757	Simplify the Radical Expression	square root of (a^8)/(b^12)	$\sqrt{\frac{a^{8}}{b^{12}}}$
202758	Find the Holes in the Graph	y=(x+3)/(x^2-9)	$y = \frac{x + 3}{x^{2} - 9}$
202759	Write as a Single Logarithm	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
202760	Solve for p	14p+20+7=16p-3	$14 p + 20 + 7 = 16 p - 3$
202761	Expand the Logarithmic Expression	log base 2 of (5/4)^(x-3)	$\log_{2} ({(\frac{5}{4})}^{x - 3})$
202762	Solve the System of Equations	4/3x-1/2y=2 4/3x+7/4y=11	$\frac{4}{3} x - \frac{1}{2} y = 2$ $\frac{4}{3} x + \frac{7}{4} y = 11$
202763	Convert to a Decimal	9.60 for 4lb	$9.6$ for $4 pounds$
202764	Solve the System of Equations	y=1/2x-6 y=-x	$y = \frac{1}{2} x - 6$ $y = - x$
202765	Find the Domain and Range	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
202766	Solve for x	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
202767	Solve for x	2=(1+ square root of 29-4x)/-3	$2 = \frac{1 + \sqrt{29 - 4 x}}{- 3}$
202768	Solve for y	2(6y+1)+13=51+9(y-5)	$2 (6 y + 1) + 13 = 51 + 9 (y - 5)$
202769	Solve for d	2(1-5/2d)+5d=2	$2 (1 - \frac{5}{2} d) + 5 d = 2$
202770	Simplify	(4+ square root of 6)/(3 square root of 6)	$\frac{4 + \sqrt{6}}{3 \sqrt{6}}$
202771	Solve for x	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
202772	Write in Exponential Form	3 square root of x^2	$3 \sqrt{x^{2}}$
202773	Find the Exact Value	3 square root of 12+1/2 square root of 96- square root of 54	$3 \sqrt{12} + \frac{1}{2} \sqrt{96} - \sqrt{54}$
202774	Solve for x	0.20=(x^2)/(85-x)	$0.2 = \frac{x^{2}}{85 - x}$
202775	Write in Standard Form	f(x)=1/2x-x^2+11x^4+2x^3	$f (x) = \frac{1}{2} x - x^{2} + 11 x^{4} + 2 x^{3}$
202776	Simplify	(x+8)(2/(3x+24))	$(x + 8) (\frac{2}{3 x + 24})$
202777	Simplify the Radical Expression	8 fourth root of 48-5 square root of 90+9 fourth root of 3	$8 \sqrt[4]{48} - 5 \sqrt{90} + 9 \sqrt[4]{3}$
202778	Solve for x	sin(x)=2/pi	$\sin (x) = \frac{2}{π}$
202779	Describe the Transformation	f(x)=1/4 cube root of x+2-5	$f (x) = \frac{1}{4} \sqrt[3]{x + 2} - 5$
202780	Graph	4- square root of 2x+1<1	$4 - \sqrt{2 x + 1} < 1$
202781	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3+2x^2-4x^3	$f (x) = 3 + 2 x^{2} - 4 x^{3}$
202782	Solve for x	-3x(5x^2-6)-5x(-3x^2+4)+16=-14	$- 3 x (5 x^{2} - 6) - 5 x (- 3 x^{2} + 4) + 16 = - 14$
202783	Simplify	( fourth root of 2^8)( fourth root of 2^3)	$(\sqrt[4]{2^{8}}) (\sqrt[4]{2^{3}})$
202784	Describe the Transformation	f(x)=1/3*e^(-x)-9	$f (x) = \frac{1}{3} \cdot e^{- x} - 9$
202785	Simplify	((2r^-1s^2t^0)^-2)/(2rs)	$\frac{{(2 r^{- 1} s^{2} t^{0})}^{- 2}}{2 r s}$
202786	Simplify the Radical Expression	3 cube root of 16-2 cube root of 54	$3 \sqrt[3]{16} - 2 \sqrt[3]{54}$
202787	Simplify the Radical Expression	( square root of 648)/( square root of 9)	$\frac{\sqrt{648}}{\sqrt{9}}$
202788	Simplify	sin(theta)cot(theta)csc(theta)	$\sin (θ) \cdot \cot (θ) \cdot \csc (θ)$
202789	Factor	f(x)=-(x+3)^2+16	$f (x) = - {(x + 3)}^{2} + 16$
202790	Solve for c	9-2(9c+1)=-9c-6c-5	$9 - 2 (9 c + 1) = - 9 c - 6 c - 5$
202791	Simplify	Find the sum of 2x^2-8x-6 and 9x^2-8	Find the sum of $2 x^{2} - 8 x - 6$ and $9 x^{2} - 8$
202792	Solve for x	square root of x+6-2 = square root of x-2	$\sqrt{x + 6} - 2 = \sqrt{x - 2}$
202793	Solve for x	(2x-5)(x+4)=2x^2+5(x+2)	$(2 x - 5) (x + 4) = 2 x^{2} + 5 (x + 2)$
202794	Simplify	((4-6x)/24)÷((2-3x)/8)	$\frac{4 - 6 x}{24} \div \frac{2 - 3 x}{8}$
202795	Simplify	(z/(2z-2))÷(7/6)	$\frac{z}{2 z - 2} \div \frac{7}{6}$
202796	Simplify	(8(-m^0n^2)^3(-n^3)^2)/(m^6n^0(-2m^-2n^4)^3)	$\frac{8 {(- m^{0} n^{2})}^{3} {(- n^{3})}^{2}}{m^{6} n^{0} {(- 2 m^{- 2} n^{4})}^{3}}$
202797	Simplify	-3m+3(m+6)	$- 3 m + 3 (m + 6)$
202798	Simplify the Radical Expression	fourth root of (32x^6)/(y^2)	$\sqrt[4]{\frac{32 x^{6}}{y^{2}}}$
202799	Simplify the Radical Expression	fifth root of 15/-32	$\sqrt[5]{\frac{15}{- 32}}$
202800	Simplify	fifth root of 15/-32	$\sqrt[5]{\frac{15}{- 32}}$