Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181201	Solve for y	3y=x	$3 y = x$
181202	Evaluate	(1/2 square root of 2)^2	${(\frac{1}{2} \sqrt{2})}^{2}$
181203	Solve for x	3(4x+1)^2-37=5	$3 {(4 x + 1)}^{2} - 37 = 5$
181204	Graph	-3x+5y=2x+3y	$- 3 x + 5 y = 2 x + 3 y$
181205	Find the Domain and Range	y=x/2	$y = \frac{x}{2}$
181206	Simplify	5(x-3)(x^2+4x+1)	$5 (x - 3) (x^{2} + 4 x + 1)$
181207	Convert to Logarithmic Form	9*e^(2z)=54	$9 \cdot e^{2 z} = 54$
181208	Graph	y<1/2x+5 y>=-x+2	$y < \frac{1}{2} x + 5$ $y \geq - x + 2$
181209	Simplify	(10x-12-3x^2)-(18-4x^2+9x)	$(10 x - 12 - 3 x^{2}) - (18 - 4 x^{2} + 9 x)$
181210	Find the Midpoint	(7,3) and (2,9)	$(7, 3)$ and $(2, 9)$
181211	Solve the Inequality for x	x^2-10x>-24	$x^{2} - 10 x > - 24$
181212	Solve for x	1+(5x)/(x+1)=5/(x^2+x)	$1 + \frac{5 x}{x + 1} = \frac{5}{x^{2} + x}$
181213	Find the Product	(2x-5)^3	${(2 x - 5)}^{3}$
181214	Subtract	subtract -3x-8 from 4x^2-7x-2	subtract $- 3 x - 8$ from $4 x^{2} - 7 x - 2$
181215	Solve for f	7(f-1)=45	$7 (f - 1) = 45$
181216	Find g(f(x))	f(x)=x+2 , g(x)=4x^2-7x-2	$f (x) = x + 2$ , $g (x) = 4 x^{2} - 7 x - 2$
181217	Factor	3ab^2-5a^2b+8ab	$3 a b^{2} - 5 a^{2} b + 8 a b$
181218	Simplify	1/5-3/(4w)+3/(10w)	$\frac{1}{5} - \frac{3}{4 w} + \frac{3}{10 w}$
181219	Simplify	2/( square root of 3)*( square root of 3)/( square root of 3)	$\frac{2}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}$
181220	Solve for w	24=lwh	$24 = l w h$
181221	Solve for x	4+2x=10(3/5x-2)	$4 + 2 x = 10 (\frac{3}{5} x - 2)$
181222	Graph	f(x)=x+1 if x<1; 4 if x>=1	$f (x) = {\begin{cases} x + 1 & x < 1 \\ 4 & x \geq 1 \end{cases}$
181223	Solve the Inequality for w	9w-4w+6>=1+5w	$9 w - 4 w + 6 \geq 1 + 5 w$
181224	Rationalize the Denominator	1/( square root of 5-2)	$\frac{1}{\sqrt{5} - 2}$
181225	Find the Holes in the Graph	f(x)=(x-3)/(x^2-5x+6)	$f (x) = \frac{x - 3}{x^{2} - 5 x + 6}$
181226	Graph	f(x)=2x+1,x>=1; x^2+3,x<1	$f (x) = {\begin{cases} 2 x + 1, x \geq 1 \\ x^{2} + 3, x < 1 \end{cases}$
181227	Solve for t	h(t)=-16t^2+v_0t+h_0	$h (t) = - 16 t^{2} + v_{0} t + h_{0}$
181228	Solve for x	-x^2+x=0	$- x^{2} + x = 0$
181229	Graph	y=1/4x^2+x-6	$y = \frac{1}{4} x^{2} + x - 6$
181230	Simplify	(3/(x^2)-1/3)/((x+2)/15-1/x)	$\frac{\frac{3}{x^{2}} - \frac{1}{3}}{\frac{x + 2}{15} - \frac{1}{x}}$
181231	Graph	y>-x+6 y<3/2x-4	$y > - x + 6$ $y < \frac{3}{2} x - 4$
181232	Solve for x	x^3-5x=0	$x^{3} - 5 x = 0$
181233	Solve the System of Inequalities	4x<=-16 or 3x+5>=17	$4 x \leq - 16$ or $3 x + 5 \geq 17$
181234	Write in Slope-Intercept Form	(-12,14) and (6,-1)	$(- 12, 14)$ and $(6, - 1)$
181235	Find the Exact Value	5^3i^9	$5^{3} i^{9}$
181236	Solve for x	3x-1+6x=2x-7	$3 x - 1 + 6 x = 2 x - 7$
181237	Evaluate	(5(7-4)^2)÷3+11	$5 {(7 - 4)}^{2} \div 3 + 11$
181238	Evaluate	log base 3 of square root of 100	$\log_{3} (\sqrt{100})$
181239	Graph	p(x)=(x+5)(2x+3)(x-2)	$p (x) = (x + 5) (2 x + 3) (x - 2)$
181240	Simplify	(x^2+8x+15)/(-5x-5)*(x^2+2x+1)/(2x+10)	$\frac{x^{2} + 8 x + 15}{- 5 x - 5} \cdot \frac{x^{2} + 2 x + 1}{2 x + 10}$
181241	Solve for A	10A-7=21-6A	$10 A - 7 = 21 - 6 A$
181242	Write with Rational (Fractional) Exponents	square root of a^3 square root of b^5	$\sqrt{a^{3}} \sqrt{b^{5}}$
181243	Solve for x	1/x+(2x)/(x+7)=8/(x^2+7x)	$\frac{1}{x} + \frac{2 x}{x + 7} = \frac{8}{x^{2} + 7 x}$
181244	Solve for x	9x-10=5x+2(2x-5)	$9 x - 10 = 5 x + 2 (2 x - 5)$
181245	Graph	-6(4y-3)>=-102	$- 6 (4 y - 3) \geq - 102$
181246	Solve for t	2.5(t-2)-6=9	$2.5 (t - 2) - 6 = 9$
181247	Solve for x	3x-5x=-x+3	$3 x - 5 x = - x + 3$
181248	Graph	f(x)=x^3-x^2-2	$f (x) = x^{3} - x^{2} - 2$
181249	Graph	square root of x>2	$\sqrt{x} > 2$
181250	Subtract	(9a^2-7b+3c^3-4)-(6a^2+6b-3c^3-4)	$(9 a^{2} - 7 b + 3 c^{3} - 4) - (6 a^{2} + 6 b - 3 c^{3} - 4)$
181251	Solve for v	I=v/r	$I = \frac{v}{r}$
181252	Solve the Inequality for x	x/2-3<-1	$\frac{x}{2} - 3 < - 1$
181253	Evaluate	\|2-5\|-(6÷2+1)^2	$\| 2 - 5 \| - {(6 \div 2 + 1)}^{2}$
181254	Solve the Inequality for x	(x+2)/(x-3)>=0	$\frac{x + 2}{x - 3} \geq 0$
181255	Evaluate	5(1/5)+(1/5)(15)	$5 (\frac{1}{5}) + (\frac{1}{5}) (15)$
181256	Convert to a Decimal	130deg	$130$ degrees
181257	Solve for x	3x-7-2x+5=6	$3 x - 7 - 2 x + 5 = 6$
181258	Subtract	Subtract 3x^2+8x from -9x^2+3x-8	Subtract $3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$
181259	Solve the Inequality for x	-3+x<12	$- 3 + x < 12$
181260	Solve for x	64^x=256*16^x	$64^{x} = 256 \cdot 16^{x}$
181261	Graph	y=cos(x+90 degrees )	$y = \cos (x + 90 °)$
181262	Simplify the Radical Expression	125^(1/3)	$125^{\frac{1}{3}}$
181263	Evaluate	250÷(5(3*7+4))	$250 \div (5 (3 \cdot 7 + 4))$
181264	Simplify	(4x+5y)(2x-3y)+3xy	$(4 x + 5 y) (2 x - 3 y) + 3 x y$
181265	Find the Exact Value	-3^-2	$- 3^{- 2}$
181266	Find the Midpoint	(2,10) and (-3,6)	$(2, 10)$ and $(- 3, 6)$
181267	Find the x and y Intercepts	f(x)=(x-5)(5x+2)	$f (x) = (x - 5) (5 x + 2)$
181268	Solve Using the Square Root Property	9(4-x)^2=27	$9 {(4 - x)}^{2} = 27$
181269	Simplify	-2i*5i	$- 2 i \cdot 5 i$
181270	Graph	x^2<-6x	$x^{2} < - 6 x$
181271	Solve for t	\|t-8\|+4=11	$\| t - 8 \| + 4 = 11$
181272	Find the Roots (Zeros)	(x+5)(x+1)=0	$(x + 5) (x + 1) = 0$
181273	Simplify	-(sin(x)^2+cos(x)^2)	$- (\sin^{2} (x) + \cos^{2} (x))$
181274	Solve for x	(5x)/(4x+40)+(x+100)/6=30/(x^2-100)	$\frac{5 x}{4 x + 40} + \frac{x + 100}{6} = \frac{30}{x^{2} - 100}$
181275	Graph	2x-5y<-20 x>-3	$2 x - 5 y < - 20$ $x > - 3$
181276	Write Using Negative Exponents	8/3x+7x^5	$\frac{8}{3} x + 7 x^{5}$
181277	Evaluate	i^-5	$i^{- 5}$
181278	Solve for x	9x-5=3*(x-2)+13	$9 x - 5 = 3 \cdot (x - 2) + 13$
181279	Find f(g(x))	f(x)=3x-2 and g(x)=(x+2)/3	$f (x) = 3 x - 2$ and $g (x) = \frac{x + 2}{3}$
181280	Solve the System of Inequalities	-4<6x+8<8	$- 4 < 6 x + 8 < 8$
181281	Simplify	(-2+x)/(x-2)	$\frac{- 2 + x}{x - 2}$
181282	Find All Complex Solutions	2^x=16	$2^{x} = 16$
181283	Solve the Inequality for x	-4x<=20	$- 4 x \leq 20$
181284	Graph	x+8>=9 and x/7<=1	$x + 8 \geq 9$ and $\frac{x}{7} \leq 1$
181285	Solve for b	a(b+c)=bc	$a (b + c) = b c$
181286	Solve the Inequality for x	(-x+5)/(x-7)>=0	$\frac{- x + 5}{x - 7} \geq 0$
181287	Solve for x	(x+1)/(2x)=(x^2-7x+10)/(4x)	$\frac{x + 1}{2 x} = \frac{x^{2} - 7 x + 10}{4 x}$
181288	Solve for x	-1/4x^2+4x+1>=1	$- \frac{1}{4} x^{2} + 4 x + 1 \geq 1$
181289	Find the Excluded Values	(-12d-1)/(10d+5)	$\frac{- 12 d - 1}{10 d + 5}$
181290	Simplify	(1^2)/2	$\frac{1^{2}}{2}$
181291	Simplify	(x^4-81x^2)/(3x^2-21x-54)*(9x^2-36)/(x^4-2x^3)	$\frac{x^{4} - 81 x^{2}}{3 x^{2} - 21 x - 54} \cdot \frac{9 x^{2} - 36}{x^{4} - 2 x^{3}}$
181292	Simplify	1/8(-8c+16)-1/3(6+3c)	$\frac{1}{8} (- 8 c + 16) - \frac{1}{3} (6 + 3 c)$
181293	Simplify	(32-2y^2)/(5y^2-80)	$\frac{32 - 2 y^{2}}{5 y^{2} - 80}$
181294	Solve for x	4x+2=6(1/3x-2/3)	$4 x + 2 = 6 (\frac{1}{3} x - \frac{2}{3})$
181295	Find the Domain and Range	x/(x^2-1)	$\frac{x}{x^{2} - 1}$
181296	Find the Product	(3+x)^2	${(3 + x)}^{2}$
181297	Simplify	9^(1/3)*81^(1/3)	$9^{\frac{1}{3}} \cdot 81^{\frac{1}{3}}$
181298	Solve for x	1/5=1/15+1/x	$\frac{1}{5} = \frac{1}{15} + \frac{1}{x}$
181299	Evaluate	8x-2=-9+7x	$8 x - 2 = - 9 + 7 x$
181300	Simplify	- square root of 28x^4+9x square root of 112x^2	$- \sqrt{28 x^{4}} + 9 x \sqrt{112 x^{2}}$