Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194201	Solve the System of Equations	x^2+y^2=25 x-3y=15	$x^{2} + y^{2} = 25$ $x - 3 y = 15$
194202	Find the Midpoint	(3,-5) and (7,9)	$(3, - 5)$ and $(7, 9)$
194203	Evaluate	-1/6(200)^2+100(200)	$- \frac{1}{6} {(200)}^{2} + 100 (200)$
194204	Solve for x	2\|x-7\|=x-8	$2 \| x - 7 \| = x - 8$
194205	Solve for x	(2x)/(x+5)+4/(x+3)=8/(x^2+8x+15)	$\frac{2 x}{x + 5} + \frac{4}{x + 3} = \frac{8}{x^{2} + 8 x + 15}$
194206	Evaluate	6(x^2-1)*(6x-1)/(6(x+1))	$6 (x^{2} - 1) \cdot \frac{6 x - 1}{6 (x + 1)}$
194207	Solve for x	(3x+4)/(x^2)=2/x	$\frac{3 x + 4}{x^{2}} = \frac{2}{x}$
194208	Multiply	3 square root of 10(y^2 square root of 4+ square root of 8y)	$3 \sqrt{10} (y^{2} \sqrt{4} + \sqrt{8 y})$
194209	Solve the System of Inequalities	y<=1/2x+2 y<-2x-3	$y \leq \frac{1}{2} x + 2$ $y < - 2 x - 3$
194210	Solve the Inequality for m	3m-3(m+8)>3m	$3 m - 3 (m + 8) > 3 m$
194211	Graph	y=-1/4cos(4x)	$y = - \frac{1}{4} \cos (4 x)$
194212	Evaluate Using the Given Value	4x+x for x=10	$4 x + x$ for $x = 10$
194213	Solve for y	3+1/5y=2x+4	$3 + \frac{1}{5} y = 2 x + 4$
194214	Multiply	(5m^2-3m^2+6)y(-3m+2)	$(5 m^{2} - 3 m^{2} + 6) y (- 3 m + 2)$
194215	Solve for θ	cos(theta)=(- square root of 3)/2	$\cos (θ) = \frac{- \sqrt{3}}{2}$
194216	Convert to Interval Notation	7x^2+21x-28<0	$7 x^{2} + 21 x - 28 < 0$
194217	Solve for x	2/(3(x-1))=x/(x-1)	$\frac{2}{3 (x - 1)} = \frac{x}{(x - 1)}$
194218	Find the Equation Using Slope-Intercept Form	m=4/15 ; passes through (5,8)	$m = \frac{4}{15}$ ; passes through $(5, 8)$
194219	Find g(f(x))	f(x)=x/6 g(x)=6x	$f (x) = \frac{x}{6}$ $g (x) = 6 x$
194220	Solve for x	x/(x+2)+1/(x-2)=(2x)/(x^2-4)	$\frac{x}{x + 2} + \frac{1}{x - 2} = \frac{2 x}{x^{2} - 4}$
194221	Evaluate	log base 3 of x^2-15 = log base 3 of 2x	$\log_{3} (x^{2} - 15) = \log_{3} (2 x)$
194222	Solve for x	3x-1=2^x	$3 x - 1 = 2^{x}$
194223	Find All Complex Solutions	4sec(theta)+6=-2	$4 \sec (θ) + 6 = - 2$
194224	Factor	a(x+1)-x-1	$a (x + 1) - x - 1$
194225	Find the Domain and Range	y=\|3x\|	$y = \| 3 x \|$
194226	Solve for g	4g-3<7g+1	$4 g - 3 < 7 g + 1$
194227	Divide	(3 square root of 8)/(4 square root of 6)	$\frac{3 \sqrt{8}}{4 \sqrt{6}}$
194228	Solve Using the Quadratic Formula	x^2=(2x+1)^2	$x^{2} = {(2 x + 1)}^{2}$
194229	Graph	-2x^3-4x^2+6x	$- 2 x^{3} - 4 x^{2} + 6 x$
194230	Find the Domain and Range	1/( square root of 4-x^2)	$\frac{1}{\sqrt{4 - x^{2}}}$
194231	Solve for n	3=4n-2	$3 = 4 n - 2$
194232	Solve for x	3(1-x)<-3x+2	$3 (1 - x) < - 3 x + 2$
194233	Solve for p	3/5(1+p)=21/20	$\frac{3}{5} (1 + p) = \frac{21}{20}$
194234	Graph	f(x)<=4	$f (x) \leq 4$
194235	Solve for g	3(g-7)=2(10+g)	$3 (g - 7) = 2 (10 + g)$
194236	Solve for b	\|b\|=2/3	$\| b \| = \frac{2}{3}$
194237	Divide	(1/x)÷(2/x)	$\frac{1}{x} \div \frac{2}{x}$
194238	Solve for t	4(t+1)=6t-1	$4 (t + 1) = 6 t - 1$
194239	Simplify	5 square root of 24*2 square root of 28	$5 \sqrt{24} \cdot 2 \sqrt{28}$
194240	Solve for x	3x-(4-2x)=x+8	$3 x - (4 - 2 x) = x + 8$
194241	Find the Domain and Range	f(x)=-1/3*6^x+5	$f (x) = - \frac{1}{3} \cdot 6^{x} + 5$
194242	Simplify	(x^-2+y^-2)/((xy)^-1)	$\frac{x^{- 2} + y^{- 2}}{{(x y)}^{- 1}}$
194243	Solve the Absolute Value Inequality for x	4\|3x+4\|=4x+8	$4 \| 3 x + 4 \| = 4 x + 8$
194244	Find All Complex Solutions	csc(x)+2=0	$\csc (x) + 2 = 0$
194245	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3-10x+5x^4+5x^2+8x^7	$f (x) = 3 - 10 x + 5 x^{4} + 5 x^{2} + 8 x^{7}$
194246	Write in Slope-Intercept Form	2x+3y=5x-y	$2 x + 3 y = 5 x - y$
194247	Solve by Substitution	y=3x+5 and 3y-2x=1	$y = 3 x + 5$ and $3 y - 2 x = 1$
194248	Solve for b	-5(3x^2+5x+b)=ax^2-25x+45	$- 5 (3 x^{2} + 5 x + b) = a x^{2} - 25 x + 45$
194249	Find the Product	(2x+5)(x-2)(3x+4)	$(2 x + 5) (x - 2) (3 x + 4)$
194250	Solve for x	log base 2 of -45x-185- log base 2 of 5=3	$\log_{2} (- 45 x - 185) - \log_{2} (5) = 3$
194251	Find the Domain and Range	f^-1(x)=5x-2	$f^{- 1} (x) = 5 x - 2$
194252	Evaluate	((5^4)^6)/(5^2)	$\frac{{(5^{4})}^{6}}{5^{2}}$
194253	Simplify	(342)^5	${(3 \cdot 4 \cdot 2)}^{5}$
194254	Solve Using the Quadratic Formula	x^3+216=0	$x^{3} + 216 = 0$
194255	Solve the Inequality for x	x/(x+1)<(3-x)/(1-x)	$\frac{x}{x + 1} < \frac{3 - x}{1 - x}$
194256	Find the Product	square root of 10* square root of 10	$\sqrt{10} \cdot \sqrt{10}$
194257	Solve for B	T=C(2+AB)	$T = C (2 + A B)$
194258	Evaluate	square root of 15-2*3	$\sqrt{15 - 2 \cdot 3}$
194259	Solve the Inequality for x	0<5-2x	$0 < 5 - 2 x$
194260	Convert to Interval Notation	(6x)/(x-6)>2	$\frac{6 x}{x - 6} > 2$
194261	Solve for θ	sin(theta)=1+cos(theta)	$\sin (θ) = 1 + \cos (θ)$
194262	Solve for h	h-8>4h+5	$h - 8 > 4 h + 5$
194263	Simplify	(x^2-1)/(3x)*(6x)/(2x-2)	$\frac{x^{2} - 1}{3 x} \cdot \frac{6 x}{2 x - 2}$
194264	Solve for y	-12x+yi=60-13i	$- 12 x + y i = 60 - 13 i$
194265	Solve for w	-2(w-7)+10w=34	$- 2 (w - 7) + 10 w = 34$
194266	Find the Degree	(x+1)^2(x-5)=0	${(x + 1)}^{2} (x - 5) = 0$
194267	Simplify	3-x^2+x^2-4	$3 - x^{2} + x^{2} - 4$
194268	Simplify	5/(6(x+3))+(x+4)/(2x)	$\frac{5}{6 (x + 3)} + \frac{x + 4}{2 x}$
194269	Simplify	(x^28)/(7^-56)	$\frac{x^{28}}{7^{- 56}}$
194270	Solve for a	( square root of x^5)/(x^5)=x^a	$\frac{\sqrt{x^{5}}}{x^{5}} = x^{a}$
194271	Multiply	(cos(theta))/(csc(theta)+1)*(csc(theta)-1)/(csc(theta)-1)	$\frac{\cos (θ)}{\csc (θ) + 1} \cdot \frac{\csc (θ) - 1}{\csc (θ) - 1}$
194272	Find the Roots (Zeros)	3x^5-x^4+6x^3-2x^2+8x-5=0	$3 x^{5} - x^{4} + 6 x^{3} - 2 x^{2} + 8 x - 5 = 0$
194273	Solve for x	5/4x=-(-5x-6)+3/2x	$\frac{5}{4} x = - (- 5 x - 6) + \frac{3}{2} x$
194274	Find the Roots (Zeros)	x^6-64=0	$x^{6} - 64 = 0$
194275	Write in Standard Form	y+3=-1/3(2x+6)	$y + 3 = - \frac{1}{3} (2 x + 6)$
194276	Solve for x	-5x^2-9x=x^2+2x-8	$- 5 x^{2} - 9 x = x^{2} + 2 x - 8$
194277	Solve for x	(5x+3)/2+(3x-8)/4=4	$\frac{5 x + 3}{2} + \frac{3 x - 8}{4} = 4$
194278	Solve the Inequality for x	((x-2)(x+2))/x<=0	$\frac{(x - 2) (x + 2)}{x} \leq 0$
194279	Find the Perpendicular Line	(1,7) and perpendicular to 3x+7y=1	$(1, 7)$ and perpendicular to $3 x + 7 y = 1$
194280	Evaluate	(4+2^2)÷(1-0.5)	$(4 + 2^{2}) \div (1 - 0.5)$
194281	Simplify	(x/4+x/3)/(x/2)	$\frac{\frac{x}{4} + \frac{x}{3}}{\frac{x}{2}}$
194282	Simplify	((2a^3b^4)^3)/((2ab^2)^5)	$\frac{{(2 a^{3} b^{4})}^{3}}{{(2 a b^{2})}^{5}}$
194283	Simplify	4m+2mn+m^2+m+3m^2	$4 m + 2 m n + m^{2} + m + 3 m^{2}$
194284	Solve for c	-5c+d=2c ; for c	$- 5 c + d = 2 c$ ; for $c$
194285	Graph Using a Table of Values	f(x)=(x-3)^2	$f (x) = {(x - 3)}^{2}$
194286	Solve for w	a=iw	$a = i w$
194287	Simplify	(((3x^4y^2)^4)/((3x^5y^2)^3))^2	${(\frac{{(3 x^{4} y^{2})}^{4}}{{(3 x^{5} y^{2})}^{3}})}^{2}$
194288	Simplify	-3(x-4)+3(a-6)	$- 3 (x - 4) + 3 (a - 6)$
194289	Solve for z	4z-7<=-7z+9	$4 z - 7 \leq - 7 z + 9$
194290	Simplify	3(3/(x+2))^2+2	$3 {(\frac{3}{x + 2})}^{2} + 2$
194291	Solve for x	5/8-3/8x=2-x	$\frac{5}{8} - \frac{3}{8} x = 2 - x$
194292	Write in Standard Form	8x-3y=6-4x	$8 x - 3 y = 6 - 4 x$
194293	Factor	(x-y)^2-4z^2	${(x - y)}^{2} - 4 z^{2}$
194294	Graph	x bar	$\overline{x}$
194295	Evaluate	(3-4^2)^2+8	${(3 - 4^{2})}^{2} + 8$
194296	Solve the Inequality for x	x-2>=10+9(1/2x-1)	$x - 2 \geq 10 + 9 (\frac{1}{2} x - 1)$
194297	Solve for z	25^(z-4)=125	$25^{z - 4} = 125$
194298	Find the Product	(x-2)(3x+1)(4x-3)	$(x - 2) (3 x + 1) (4 x - 3)$
194299	Solve for x	log base 2 of x^2+2- log base 2 of 3x+6=0	$\log_{2} (x^{2} + 2) - \log_{2} (3 x + 6) = 0$
194300	Find the End Behavior	f(x)=-720+6x^3+36x^2-186x	$f (x) = - 720 + 6 x^{3} + 36 x^{2} - 186 x$