Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181201	Find g(f(x))	f(x)=x+2 , g(x)=4x^2-7x-2	$f (x) = x + 2$ , $g (x) = 4 x^{2} - 7 x - 2$
181202	Factor	3ab^2-5a^2b+8ab	$3 a b^{2} - 5 a^{2} b + 8 a b$
181203	Simplify	1/5-3/(4w)+3/(10w)	$\frac{1}{5} - \frac{3}{4 w} + \frac{3}{10 w}$
181204	Simplify	2/( square root of 3)*( square root of 3)/( square root of 3)	$\frac{2}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}$
181205	Solve for w	24=lwh	$24 = l w h$
181206	Solve for x	4+2x=10(3/5x-2)	$4 + 2 x = 10 (\frac{3}{5} x - 2)$
181207	Graph	f(x)=x+1 if x<1; 4 if x>=1	$f (x) = {\begin{cases} x + 1 & x < 1 \\ 4 & x \geq 1 \end{cases}$
181208	Solve the Inequality for w	9w-4w+6>=1+5w	$9 w - 4 w + 6 \geq 1 + 5 w$
181209	Rationalize the Denominator	1/( square root of 5-2)	$\frac{1}{\sqrt{5} - 2}$
181210	Find the Holes in the Graph	f(x)=(x-3)/(x^2-5x+6)	$f (x) = \frac{x - 3}{x^{2} - 5 x + 6}$
181211	Graph	f(x)=2x+1,x>=1; x^2+3,x<1	$f (x) = {\begin{cases} 2 x + 1, x \geq 1 \\ x^{2} + 3, x < 1 \end{cases}$
181212	Solve for t	h(t)=-16t^2+v_0t+h_0	$h (t) = - 16 t^{2} + v_{0} t + h_{0}$
181213	Solve for x	-x^2+x=0	$- x^{2} + x = 0$
181214	Graph	y=1/4x^2+x-6	$y = \frac{1}{4} x^{2} + x - 6$
181215	Simplify	(3/(x^2)-1/3)/((x+2)/15-1/x)	$\frac{\frac{3}{x^{2}} - \frac{1}{3}}{\frac{x + 2}{15} - \frac{1}{x}}$
181216	Graph	y>-x+6 y<3/2x-4	$y > - x + 6$ $y < \frac{3}{2} x - 4$
181217	Solve for x	x^3-5x=0	$x^{3} - 5 x = 0$
181218	Solve the System of Inequalities	4x<=-16 or 3x+5>=17	$4 x \leq - 16$ or $3 x + 5 \geq 17$
181219	Write in Slope-Intercept Form	(-12,14) and (6,-1)	$(- 12, 14)$ and $(6, - 1)$
181220	Find the Exact Value	5^3i^9	$5^{3} i^{9}$
181221	Solve for x	3x-1+6x=2x-7	$3 x - 1 + 6 x = 2 x - 7$
181222	Evaluate	(5(7-4)^2)÷3+11	$5 {(7 - 4)}^{2} \div 3 + 11$
181223	Evaluate	log base 3 of square root of 100	$\log_{3} (\sqrt{100})$
181224	Graph	p(x)=(x+5)(2x+3)(x-2)	$p (x) = (x + 5) (2 x + 3) (x - 2)$
181225	Simplify	(x^2+8x+15)/(-5x-5)*(x^2+2x+1)/(2x+10)	$\frac{x^{2} + 8 x + 15}{- 5 x - 5} \cdot \frac{x^{2} + 2 x + 1}{2 x + 10}$
181226	Solve for A	10A-7=21-6A	$10 A - 7 = 21 - 6 A$
181227	Write with Rational (Fractional) Exponents	square root of a^3 square root of b^5	$\sqrt{a^{3}} \sqrt{b^{5}}$
181228	Solve for x	1/x+(2x)/(x+7)=8/(x^2+7x)	$\frac{1}{x} + \frac{2 x}{x + 7} = \frac{8}{x^{2} + 7 x}$
181229	Solve for x	9x-10=5x+2(2x-5)	$9 x - 10 = 5 x + 2 (2 x - 5)$
181230	Graph	-6(4y-3)>=-102	$- 6 (4 y - 3) \geq - 102$
181231	Solve for t	2.5(t-2)-6=9	$2.5 (t - 2) - 6 = 9$
181232	Solve for x	3x-5x=-x+3	$3 x - 5 x = - x + 3$
181233	Graph	f(x)=x^3-x^2-2	$f (x) = x^{3} - x^{2} - 2$
181234	Graph	square root of x>2	$\sqrt{x} > 2$
181235	Subtract	(9a^2-7b+3c^3-4)-(6a^2+6b-3c^3-4)	$(9 a^{2} - 7 b + 3 c^{3} - 4) - (6 a^{2} + 6 b - 3 c^{3} - 4)$
181236	Solve for v	I=v/r	$I = \frac{v}{r}$
181237	Solve the Inequality for x	x/2-3<-1	$\frac{x}{2} - 3 < - 1$
181238	Evaluate	\|2-5\|-(6÷2+1)^2	$\| 2 - 5 \| - {(6 \div 2 + 1)}^{2}$
181239	Solve the Inequality for x	(x+2)/(x-3)>=0	$\frac{x + 2}{x - 3} \geq 0$
181240	Evaluate	5(1/5)+(1/5)(15)	$5 (\frac{1}{5}) + (\frac{1}{5}) (15)$
181241	Convert to a Decimal	130deg	$130$ degrees
181242	Solve for x	3x-7-2x+5=6	$3 x - 7 - 2 x + 5 = 6$
181243	Subtract	Subtract 3x^2+8x from -9x^2+3x-8	Subtract $3 x^{2} + 8 x$ from $- 9 x^{2} + 3 x - 8$
181244	Solve the Inequality for x	-3+x<12	$- 3 + x < 12$
181245	Solve for x	64^x=256*16^x	$64^{x} = 256 \cdot 16^{x}$
181246	Graph	y=cos(x+90 degrees )	$y = \cos (x + 90 °)$
181247	Simplify the Radical Expression	125^(1/3)	$125^{\frac{1}{3}}$
181248	Evaluate	250÷(5(3*7+4))	$250 \div (5 (3 \cdot 7 + 4))$
181249	Simplify	(4x+5y)(2x-3y)+3xy	$(4 x + 5 y) (2 x - 3 y) + 3 x y$
181250	Find the Exact Value	-3^-2	$- 3^{- 2}$
181251	Find the Midpoint	(2,10) and (-3,6)	$(2, 10)$ and $(- 3, 6)$
181252	Find the x and y Intercepts	f(x)=(x-5)(5x+2)	$f (x) = (x - 5) (5 x + 2)$
181253	Solve Using the Square Root Property	9(4-x)^2=27	$9 {(4 - x)}^{2} = 27$
181254	Simplify	-2i*5i	$- 2 i \cdot 5 i$
181255	Graph	x^2<-6x	$x^{2} < - 6 x$
181256	Solve for t	\|t-8\|+4=11	$\| t - 8 \| + 4 = 11$
181257	Find the Roots (Zeros)	(x+5)(x+1)=0	$(x + 5) (x + 1) = 0$
181258	Simplify	-(sin(x)^2+cos(x)^2)	$- (\sin^{2} (x) + \cos^{2} (x))$
181259	Solve for x	(5x)/(4x+40)+(x+100)/6=30/(x^2-100)	$\frac{5 x}{4 x + 40} + \frac{x + 100}{6} = \frac{30}{x^{2} - 100}$
181260	Graph	2x-5y<-20 x>-3	$2 x - 5 y < - 20$ $x > - 3$
181261	Write Using Negative Exponents	8/3x+7x^5	$\frac{8}{3} x + 7 x^{5}$
181262	Evaluate	i^-5	$i^{- 5}$
181263	Solve for x	9x-5=3*(x-2)+13	$9 x - 5 = 3 \cdot (x - 2) + 13$
181264	Find f(g(x))	f(x)=3x-2 and g(x)=(x+2)/3	$f (x) = 3 x - 2$ and $g (x) = \frac{x + 2}{3}$
181265	Solve the System of Inequalities	-4<6x+8<8	$- 4 < 6 x + 8 < 8$
181266	Simplify	(-2+x)/(x-2)	$\frac{- 2 + x}{x - 2}$
181267	Find All Complex Solutions	2^x=16	$2^{x} = 16$
181268	Solve the Inequality for x	-4x<=20	$- 4 x \leq 20$
181269	Graph	x+8>=9 and x/7<=1	$x + 8 \geq 9$ and $\frac{x}{7} \leq 1$
181270	Solve for b	a(b+c)=bc	$a (b + c) = b c$
181271	Solve the Inequality for x	(-x+5)/(x-7)>=0	$\frac{- x + 5}{x - 7} \geq 0$
181272	Solve for x	(x+1)/(2x)=(x^2-7x+10)/(4x)	$\frac{x + 1}{2 x} = \frac{x^{2} - 7 x + 10}{4 x}$
181273	Solve for x	-1/4x^2+4x+1>=1	$- \frac{1}{4} x^{2} + 4 x + 1 \geq 1$
181274	Find the Excluded Values	(-12d-1)/(10d+5)	$\frac{- 12 d - 1}{10 d + 5}$
181275	Simplify	(1^2)/2	$\frac{1^{2}}{2}$
181276	Simplify	(x^4-81x^2)/(3x^2-21x-54)*(9x^2-36)/(x^4-2x^3)	$\frac{x^{4} - 81 x^{2}}{3 x^{2} - 21 x - 54} \cdot \frac{9 x^{2} - 36}{x^{4} - 2 x^{3}}$
181277	Simplify	1/8(-8c+16)-1/3(6+3c)	$\frac{1}{8} (- 8 c + 16) - \frac{1}{3} (6 + 3 c)$
181278	Simplify	(32-2y^2)/(5y^2-80)	$\frac{32 - 2 y^{2}}{5 y^{2} - 80}$
181279	Solve for x	4x+2=6(1/3x-2/3)	$4 x + 2 = 6 (\frac{1}{3} x - \frac{2}{3})$
181280	Find the Domain and Range	x/(x^2-1)	$\frac{x}{x^{2} - 1}$
181281	Find the Product	(3+x)^2	${(3 + x)}^{2}$
181282	Simplify	9^(1/3)*81^(1/3)	$9^{\frac{1}{3}} \cdot 81^{\frac{1}{3}}$
181283	Solve for x	1/5=1/15+1/x	$\frac{1}{5} = \frac{1}{15} + \frac{1}{x}$
181284	Evaluate	8x-2=-9+7x	$8 x - 2 = - 9 + 7 x$
181285	Simplify	- square root of 28x^4+9x square root of 112x^2	$- \sqrt{28 x^{4}} + 9 x \sqrt{112 x^{2}}$
181286	Find the Roots (Zeros)	y=2x^2+x-3	$y = 2 x^{2} + x - 3$
181287	Find All Complex Solutions	-sin(x)+cos(2x)=1	$- \sin (x) + \cos (2 x) = 1$
181288	Graph	y+2=1/4x	$y + 2 = \frac{1}{4} x$
181289	Evaluate	(p+q)^2	${(p + q)}^{2}$
181290	Find the Exact Value	cos(75 degrees )cos(15 degrees )-sin(75 degrees )sin(15 degrees )	$\cos (75 °) \cos (15 °) - \sin (75 °) \sin (15 °)$
181291	Simplify	square root of 324-(2-9)^2+162÷(3^3)	$\sqrt{324} - {(2 - 9)}^{2} + 162 \div 3^{3}$
181292	Find the x and y Intercepts	f(x)=8x^3-2x-2x^2-4	$f (x) = 8 x^{3} - 2 x - 2 x^{2} - 4$
181293	Simplify	(y^2-2y-15)/(6y+18)*(12y+36)/(-y^2-7y+60)	$\frac{y^{2} - 2 y - 15}{6 y + 18} \cdot \frac{12 y + 36}{- y^{2} - 7 y + 60}$
181294	Write in Standard Form	square root of -16+ square root of 8+ square root of -36	$\sqrt{- 16} + \sqrt{8} + \sqrt{- 36}$
181295	Evaluate	1/7x-3<1	$\frac{1}{7} x - 3 < 1$
181296	Solve for x	\|x+3\|>x-2	$\| x + 3 \| > x - 2$
181297	Describe the Transformation	g(x)=f(1/2x)	$g (x) = f (\frac{1}{2} x)$
181298	Find the x and y Intercepts	r(x)=(x^2+6x-7)/(x^2+2x-3)	$r (x) = \frac{x^{2} + 6 x - 7}{x^{2} + 2 x - 3}$
181299	Solve for x	12x=12(2/3x-1)+11	$12 x = 12 (\frac{2}{3} x - 1) + 11$
181300	Solve the System of Equations	y=-2x-3 y=1/2x+2	$y = - 2 x - 3$ $y = \frac{1}{2} x + 2$