Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
163001	Solve for x	(x-2)^2+46=47	${(x - 2)}^{2} + 46 = 47$
163002	Find the Domain and Range	f(-1)	$f (- 1)$
163003	Solve the Inequality for v	4v-8<=5v+5	$4 v - 8 \leq 5 v + 5$
163004	Find the Product	(a-3)/(15a)*5/(a-3)	$\frac{a - 3}{15 a} \cdot \frac{5}{a - 3}$
163005	Evaluate Using the Given Value	1/4c+3d when c=6 and d=7	$\frac{1}{4} c + 3 d$ when $c = 6$ and $d = 7$
163006	Solve for v	11=2+ square root of 90-v	$11 = 2 + \sqrt{90 - v}$
163007	Solve the Inequality for w	w+9<-6w+3	$w + 9 < - 6 w + 3$
163008	Simplify	(x^2-36)/(x^2-3x-18)*(2x+6)/(x+6)	$\frac{x^{2} - 36}{x^{2} - 3 x - 18} \cdot \frac{2 x + 6}{x + 6}$
163009	Solve the System of Inequalities	-58<-4x-10<-14	$- 58 < - 4 x - 10 < - 14$
163010	Solve for m	m^2+8m=-3	$m^{2} + 8 m = - 3$
163011	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-6x-7=0	$x^{2} - 6 x - 7 = 0$
163012	Solve for w	4(w+1)-7=3(w-1)+w	$4 (w + 1) - 7 = 3 (w - 1) + w$
163013	Solve for x	x^2=5-x	$x^{2} = 5 - x$
163014	Solve the System of Equations	-10x+3y=5 x=y-4	$- 10 x + 3 y = 5$ $x = y - 4$
163015	Graph	g(x)=-f(x)+3	$g (x) = - f (x) + 3$
163016	Solve for x	5-3x^2=-7	$5 - 3 x^{2} = - 7$
163017	Solve the Inequality for k	8k-3>9k+10	$8 k - 3 > 9 k + 10$
163018	Solve Using the Quadratic Formula	(c)(4c+15)+4=0	$(c) (4 c + 15) + 4 = 0$
163019	Simplify	x/(x^2-x-2)-x/(x^2+4x-12)-2/(x^2+7x+6)	$\frac{x}{x^{2} - x - 2} - \frac{x}{x^{2} + 4 x - 12} - \frac{2}{x^{2} + 7 x + 6}$
163020	Simplify	(2x^2-12x)/(x^2-36)	$\frac{2 x^{2} - 12 x}{x^{2} - 36}$
163021	Evaluate	-1/2(-3y+10)	$- \frac{1}{2} (- 3 y + 10)$
163022	Solve for c	-2.9-c/0.6=3.1	$- 2.9 - \frac{c}{0.6} = 3.1$
163023	Solve the Inequality for x	3x>=-12	$3 x \geq - 12$
163024	Solve the Inequality for a	a=1/2h(b_1+b_2)	$a = \frac{1}{2} h (b_{1} + b_{2})$
163025	Solve for x	-(5x+6)-x=-6-6x	$- (5 x + 6) - x = - 6 - 6 x$
163026	Solve the Inequality for x	x+5>7	$x + 5 > 7$
163027	Graph Using a Table of Values	f(x)=1/(2x)	$f (x) = \frac{1}{2 x}$
163028	Evaluate	-2.3-(4.5-3 1/2)	$- 2.3 - (4.5 - 3 \frac{1}{2})$
163029	Write in Standard Form	-10x-(x^4)/5-6	$- 10 x - \frac{x^{4}}{5} - 6$
163030	Graph	y=1/4(x-2)^2-4	$y = \frac{1}{4} {(x - 2)}^{2} - 4$
163031	Solve for x	x^5=9x^3	$x^{5} = 9 x^{3}$
163032	Find the Holes in the Graph	f(x)=(-5x+15)/(3x-9)	$f (x) = \frac{- 5 x + 15}{3 x - 9}$
163033	Evaluate	(3x^2)^3	${(3 x^{2})}^{3}$
163034	Solve for A	BA+8=3mA	$B A + 8 = 3 m A$
163035	Find the Complex Conjugate	square root of 8- square root of 9	$\sqrt{8} - \sqrt{9}$
163036	Simplify	4b(4ab^2+a-1)	$4 b (4 a b^{2} + a - 1)$
163037	Solve for F	p=F/A	$p = \frac{F}{A}$
163038	Solve for x	9x^2+12x=-6	$9 x^{2} + 12 x = - 6$
163039	Solve for k	-2=(k+7)/3	$- 2 = \frac{k + 7}{3}$
163040	Write in Standard Form	3 square root of 2	$3 \sqrt{2}$
163041	Graph Using a Table of Values	f(x)=2^(x-3)	$f (x) = 2^{x - 3}$
163042	Solve the Rational Equation for x	1/x+x/2=11/6	$\frac{1}{x} + \frac{x}{2} = \frac{11}{6}$
163043	Solve the Inequality for x	1/x<1/(x-3)	$\frac{1}{x} < \frac{1}{x - 3}$
163044	Solve for n	-1/2(2n+4)+6=-9+4(2n+1)	$- \frac{1}{2} (2 n + 4) + 6 = - 9 + 4 (2 n + 1)$
163045	Graph	(6,1)	$(6, 1)$
163046	Find the Function	f(x)=5x-7	$f (x) = 5 x - 7$
163047	Simplify	-2g(1+g)	$- 2 g (1 + g)$
163048	Divide	-3÷(-2)	$- 3 \div (- 2)$
163049	Divide	(10c^6+6c^5-24c)÷(-c^4)	$(10 c^{6} + 6 c^{5} - 24 c) \div (- c^{4})$
163050	Write in Standard Form	(x^3)/5-10-x	$\frac{x^{3}}{5} - 10 - x$
163051	Evaluate	2^x=3	$2^{x} = 3$
163052	Solve the Absolute Value Inequality for x	\|x\|>2	$\| x \| > 2$
163053	Solve for w	12=w-\|-7\|	$12 = w - \| - 7 \|$
163054	Solve for x	(3x+5)^2+5(3x+5)+6=0	${(3 x + 5)}^{2} + 5 (3 x + 5) + 6 = 0$
163055	Solve Over the Interval	4x^2+x=3 , (0,9)	$4 x^{2} + x = 3$ , $(0, 9)$
163056	Simplify	3((x^3-7x+1)-(x+4))	$3 ((x^{3} - 7 x + 1) - (x + 4))$
163057	Determine the Number of Significant Figures	100	$100$
163058	Solve for x	3=e^x	$3 = e^{x}$
163059	Write in Standard Form	5x^2+3x^3-x^4+1/7	$5 x^{2} + 3 x^{3} - x^{4} + \frac{1}{7}$
163060	Solve the Inequality for p	5p-3>=-4p-7	$5 p - 3 \geq - 4 p - 7$
163061	Write in Standard Form	1/6x^2+3+2x^4+10x^5-9x	$\frac{1}{6} x^{2} + 3 + 2 x^{4} + 10 x^{5} - 9 x$
163062	Solve the Rational Equation for x	2/(x+2)+1/(x-2)=3/x	$\frac{2}{x + 2} + \frac{1}{x - 2} = \frac{3}{x}$
163063	Divide	((2x-5)/4)÷((x+3)/4)	$\frac{2 x - 5}{4} \div \frac{x + 3}{4}$
163064	Find the Product	(9+4m)^2	${(9 + 4 m)}^{2}$
163065	Solve Using the Quadratic Formula	f(x)=x^2-6x+8	$f (x) = x^{2} - 6 x + 8$
163066	Solve the Inequality for x	-3x>3	$- 3 x > 3$
163067	Divide	2 1/2÷(3/8)	$2 \frac{1}{2} \div \frac{3}{8}$
163068	Find the Roots (Zeros)	y=4x^2-36	$y = 4 x^{2} - 36$
163069	Simplify	(x/2+x/3)/(x/4)	$\frac{\frac{x}{2} + \frac{x}{3}}{\frac{x}{4}}$
163070	Simplify	(4+ square root of z)( square root of 11+ square root of z)	$(4 + \sqrt{z}) (\sqrt{11} + \sqrt{z})$
163071	Simplify	(2^-2m^-3)/(n^0)	$\frac{2^{- 2} m^{- 3}}{n^{0}}$
163072	Factor	y^3+x^3y^5	$y^{3} + x^{3} y^{5}$
163073	Solve the Inequality for c	4/(c-2)-3/c<0	$\frac{4}{c - 2} - \frac{3}{c} < 0$
163074	Graph	y=-1/(x-1)	$y = - \frac{1}{x - 1}$
163075	Solve for r	\|-3r\|=9	$\| - 3 r \| = 9$
163076	Solve the System of Equations	-x-2y=-8 x+2y=8	$- x - 2 y = - 8$ $x + 2 y = 8$
163077	Solve for c	square root of -11c+12=-c	$\sqrt{- 11 c + 12} = - c$
163078	Simplify the Radical Expression	1/( square root of 2)	$\frac{1}{\sqrt{2}}$
163079	Solve for x	1/2x+3/2(x+1)-1/4=5	$\frac{1}{2} x + \frac{3}{2} (x + 1) - \frac{1}{4} = 5$
163080	Find the End Behavior	f(x)=3x^4+19	$f (x) = 3 x^{4} + 19$
163081	Solve the Absolute Value Inequality for b	-4\|6b-8\|<=12	$- 4 \| 6 b - 8 \| \leq 12$
163082	Solve the Inequality for v	5v-6<=10v+5	$5 v - 6 \leq 10 v + 5$
163083	Find the Excluded Values	(m+5)/(mn+3m)	$\frac{m + 5}{m n + 3 m}$
163084	Evaluate	cos(105 degrees )	$\cos (105 °)$
163085	Solve for x	5/(2x-4)+2/(x+3)=3/(x-2)	$\frac{5}{2 x - 4} + \frac{2}{x + 3} = \frac{3}{x - 2}$
163086	Factor	7x^5y^4-9x^3y-2xy^3	$7 x^{5} y^{4} - 9 x^{3} y - 2 x y^{3}$
163087	Evaluate	4pi*2^2	$4 π \cdot 2^{2}$
163088	Simplify	(x^(2/3)y)/(x^(2/3)y^(1/3))	$\frac{x^{\frac{2}{3}} y}{x^{\frac{2}{3}} y^{\frac{1}{3}}}$
163089	Solve for t	-3=-3(2t-1)	$- 3 = - 3 (2 t - 1)$
163090	Simplify	(-6 square root of 80)(3)	$(- 6 \sqrt{80}) (3)$
163091	Simplify	(27xy^7)/(18x^6y)	$\frac{27 x y^{7}}{18 x^{6} y}$
163092	Simplify	(3x+2)/(x-7)-(2x)/(x^2-5x-14)	$\frac{3 x + 2}{x - 7} - \frac{2 x}{x^{2} - 5 x - 14}$
163093	Simplify	(4x^3-36x^2)/(x^2-14x+45)	$\frac{4 x^{3} - 36 x^{2}}{x^{2} - 14 x + 45}$
163094	Graph	f(x)=1/2(x+2)(x+1)(x-1)^2	$f (x) = \frac{1}{2} (x + 2) (x + 1) {(x - 1)}^{2}$
163095	Solve for x	3^2+3^2=x^2	$3^{2} + 3^{2} = x^{2}$
163096	Solve the Inequality for f	7f-3<=4f+6	$7 f - 3 \leq 4 f + 6$
163097	Solve for θ	sin(theta)^2+2cos(theta)^2=4	$\sin^{2} (θ) + 2 \cos^{2} (θ) = 4$
163098	Multiply	2 square root of 24*5/( square root of 4)	$2 \sqrt{24} \cdot \frac{5}{\sqrt{4}}$
163099	Find the Product	(5x+2)(5x-2)	$(5 x + 2) (5 x - 2)$
163100	Simplify	x^5y^2(2x^2)	$x^{5} y^{2} (2 x^{2})$