Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192201	Solve the System of Equations	-x+y=9 x-y=-9	$- x + y = 9$ $x - y = - 9$
192202	Graph	f(x)=x^3+x^2+x+1 ?	$f (x) = x^{3} + x^{2} + x + 1$ ?
192203	Solve for R₂	1/R_t=1/R_1+1/R_2+1/R_3	$\frac{1}{R_{t}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}}$
192204	Find the Exact Value	2^3-(( square root of 4)(6/3-1))	$2^{3} - ((\sqrt{4}) (\frac{6}{3} - 1))$
192205	Multiply	2/31/49	$\frac{2}{3} \cdot \frac{1}{4} \cdot 9$
192206	Evaluate	(- square root of 9+ square root of -4)-(2 square root of 576+ square root of -64)	$(- \sqrt{9} + \sqrt{- 4}) - (2 \sqrt{576} + \sqrt{- 64})$
192207	Evaluate	tan(arcsin(( square root of 3)/2))	$\tan (\arcsin (\frac{\sqrt{3}}{2}))$
192208	Solve the System of Equations	y=x^2+4x y=-x-6	$y = x^{2} + 4 x$ $y = - x - 6$
192209	Graph	cube root of 64=4	$\sqrt[3]{64} = 4$
192210	Solve for x	y=(x-2)^2	$y = {(x - 2)}^{2}$
192211	Divide	(5^10)/(5^12)	$\frac{5^{10}}{5^{12}}$
192212	Simplify	3^-3*10^-3	$3^{- 3} \cdot 10^{- 3}$
192213	Solve the Inequality for x	0<=x<=2pi	$0 \leq x \leq 2 π$
192214	Solve the System of Equations	3x-y+z=3 -x+y+2z=0 -5x+3y+2z=-2	$3 x - y + z = 3$ $- x + y + 2 z = 0$ $- 5 x + 3 y + 2 z = - 2$
192215	Solve for x	5(1+2x)=1/2(8+20x)	$5 (1 + 2 x) = \frac{1}{2} (8 + 20 x)$
192216	Solve for x	square root of x+1 = square root of x+13	$\sqrt{x} + 1 = \sqrt{x + 13}$
192217	Graph	g(x)=(2x^2-8)/(x^2+x-6)	$g (x) = \frac{2 x^{2} - 8}{x^{2} + x - 6}$
192218	Simplify	mn(-m^5n^3)(-m^3n^8)	$m n \cdot (- m^{5} n^{3}) \cdot (- m^{3} n^{8})$
192219	Find the Parallel Line	(-2,4) and parallel to x+3y=5	$(- 2, 4)$ and parallel to $x + 3 y = 5$
192220	Solve the System of Inequalities	y>-x-2 y<-5x+2	$y > - x - 2$ $y < - 5 x + 2$
192221	Solve for q	4(2q-3)=8q-12	$4 (2 q - 3) = 8 q - 12$
192222	Simplify	(16^3)^(1/2)	${(16^{3})}^{\frac{1}{2}}$
192223	Write in Standard Form	y=1/2(x+4)(x-2)	$y = \frac{1}{2} (x + 4) (x - 2)$
192224	Graph	x^3=y	$x^{3} = y$
192225	Find the Roots (Zeros)	f(x)=(x+1)(x+2)(x-1)^2	$f (x) = (x + 1) (x + 2) {(x - 1)}^{2}$
192226	Evaluate	1÷(( square root of 2)/2)	$1 \div \frac{\sqrt{2}}{2}$
192227	Find the Parallel Line	Find the equation of the line through (-1,7) which is parallel to the line y=8x+4	Find the equation of the line through $(- 1, 7)$ which is parallel to the line $y = 8 x + 4$
192228	Find All Complex Solutions	sin(x)^2-sin(x)=0	$\sin^{2} (x) - \sin (x) = 0$
192229	Solve the Inequality for x	167<6+7(2-7x)	$167 < 6 + 7 (2 - 7 x)$
192230	Simplify	(x^4-49x^2)/(x^3+2x^4-63x)	$\frac{x^{4} - 49 x^{2}}{x^{3} + 2 x^{4} - 63 x}$
192231	Solve the Inequality for x	3^x=81	$3^{x} = 81$
192232	Multiply	13/5212/5111/50	$\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{11}{50}$
192233	Solve for a	( sixth root of x)/((x^5)^(1/6))=x^a	$\frac{\sqrt[6]{x}}{{(x^{5})}^{\frac{1}{6}}} = x^{a}$
192234	Find All Complex Solutions	square root of 2x+4=1/2x+1	$\sqrt{2 x + 4} = \frac{1}{2} x + 1$
192235	Solve for x	(100-4x)/3=(5x+6)/4+6	$\frac{100 - 4 x}{3} = \frac{5 x + 6}{4} + 6$
192236	Simplify	3 square root of 2y^3*7 square root of 18y	$3 \sqrt{2 y^{3}} \cdot 7 \sqrt{18 y}$
192237	Graph Using a Table of Values	y=b^x	$y = b^{x}$
192238	Write in Standard Form	4x^2-2=0	$4 x^{2} - 2 = 0$
192239	Solve by Factoring	3x^2-8x=x^2+42	$3 x^{2} - 8 x = x^{2} + 42$
192240	Graph	-6<=-7+x	$- 6 \leq - 7 + x$
192241	Solve for a	a+18=7a	$a + 18 = 7 a$
192242	Simplify	x/2-x	$\frac{x}{2} - x$
192243	Simplify	( square root of x+y)( square root of x-y)	$(\sqrt{x} + y) (\sqrt{x} - y)$
192244	Find the Exact Value	2(sin(30 degrees ))-tan(45 degrees )	$2 (\sin (30 °)) - \tan (45 °)$
192245	Solve the Inequality for x	x-6>=-7	$x - 6 \geq - 7$
192246	Graph	f(x)=-x+1 if x<-2; -x^2 if -2<=x<1; x-3 if x>=1	$f (x) = {\begin{cases} - x + 1 & x < - 2 \\ - x^{2} & - 2 \leq x < 1 \\ x - 3 & x \geq 1 \end{cases}$
192247	Solve for vᵢ	v_f=v_i+at	$v_{f} = v_{i} + a t$
192248	Find the Roots (Zeros)	y=x-1/4x^2	$y = x - \frac{1}{4} x^{2}$
192249	Solve for a	0.85=a/-7.2	$0.85 = \frac{a}{- 7.2}$
192250	Simplify	(5x(2x+1))/(7x(8x+4))	$\frac{5 x (2 x + 1)}{7 x (8 x + 4)}$
192251	Find the Exact Value	-csc(pi/4)^2	$- \csc^{2} (\frac{π}{4})$
192252	Simplify	(5c)/(4c+1)-(c-1)/(1+4c)	$\frac{5 c}{4 c + 1} - \frac{c - 1}{1 + 4 c}$
192253	Evaluate	(-3)+5+(-5)+12	$(- 3) + 5 + (- 5) + 12$
192254	Find the Exact Value	(( square root of 2)/2)/(( square root of 2)/2)	$\frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$
192255	Simplify	4^-64^4(2^3*2^-4)^-1	$4^{- 6} \cdot 4^{4} \cdot {(2^{3} \cdot 2^{- 4})}^{- 1}$
192256	Evaluate	find f(-1)	find $f (- 1)$
192257	Divide	10÷3 3/4	$10 \div 3 \frac{3}{4}$
192258	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3(x-3)^2	$f (x) = x^{3} {(x - 3)}^{2}$
192259	Find f(g(x))	f(x) = square root of x and g(x)=x+3	$f (x) = \sqrt{x}$ and $g (x) = x + 3$
192260	Evaluate	cos(x)=1	$\cos (x) = 1$
192261	Simplify	-5/(2(x+4)^2+6(x+4))	$\frac{- 5}{2 {(x + 4)}^{2} + 6 (x + 4)}$
192262	Solve for p	4p-1<=3p-10	$4 p - 1 \leq 3 p - 10$
192263	Graph	y>2x-4 y<2	$y > 2 x - 4$ $y < 2$
192264	Solve the System of Equations	x+y=5 -2x+4y=8	$x + y = 5$ $- 2 x + 4 y = 8$
192265	Simplify	(2x+1/2)^2	${(2 x + \frac{1}{2})}^{2}$
192266	Solve for x	2x+3x-4=x+6	$2 x + 3 x - 4 = x + 6$
192267	Simplify	(((4x^2y^3)^2)/((2xy)^3))^2	${(\frac{{(4 x^{2} y^{3})}^{2}}{{(2 x y)}^{3}})}^{2}$
192268	Solve for x	1+3/(x-1)=1/(x^2+x-2)	$1 + \frac{3}{x - 1} = \frac{1}{x^{2} + x - 2}$
192269	Simplify	4x-2/5x-(3x-y)+(1/2x-1/5y-(1/6x-1/3y))	$4 x - \frac{2}{5} x - (3 x - y) + (\frac{1}{2} x - \frac{1}{5} y - (\frac{1}{6} x - \frac{1}{3} y))$
192270	Evaluate	(-2)^3-(3)*8+(5)(10)	${(- 2)}^{3} - (3) \cdot 8 + (5) (10)$
192271	Find the x and y Intercepts	f(x)=2+4^(x-1)	$f (x) = 2 + 4^{x - 1}$
192272	Solve Using the Quadratic Formula	12x=9x^2+4	$12 x = 9 x^{2} + 4$
192273	Find the Equation Using Two Points	(1,3) and (3,4)	$(1, 3)$ and $(3, 4)$
192274	Evaluate	7(2m+3)-5m=2(4m+8)+9	$7 (2 m + 3) - 5 m = 2 (4 m + 8) + 9$
192275	Simplify	-1-w-2w+7-19	$- 1 - w - 2 w + 7 - 19$
192276	Solve for n	A=P(1+r/400)^(4n)	$A = P {(1 + \frac{r}{400})}^{4 n}$
192277	Graph	h(x)=4-x^2,x<-2; 3+x,-2<=x<0; x^2+1,x>=0	$h (x) = {\begin{cases} 4 - x^{2}, x < - 2 \\ 3 + x, - 2 \leq x < 0 \\ x^{2} + 1, x \geq 0 \end{cases}$
192278	Solve for r	4r+8+5=-15-3r	$4 r + 8 + 5 = - 15 - 3 r$
192279	Find the Inverse	f(x)=(x^3+5)^(1/5)	$f (x) = {(x^{3} + 5)}^{\frac{1}{5}}$
192280	Combine Like Terms	(-7x^2+3)-(-4x-3)	$(- 7 x^{2} + 3) - (- 4 x - 3)$
192281	Simplify	3x+5+4x^2-2-x^2-3x+1	$3 x + 5 + 4 x^{2} - 2 - x^{2} - 3 x + 1$
192282	Find f(g(x))	f(x)=-1/2x^2+5x g(x)=x^2+2	$f (x) = - \frac{1}{2} x^{2} + 5 x$ $g (x) = x^{2} + 2$
192283	Simplify	(2^(2/3)*16^(2/3))/(4^(2/3))	$\frac{2^{\frac{2}{3}} \cdot 16^{\frac{2}{3}}}{4^{\frac{2}{3}}}$
192284	Solve for n	-17+n/-3=-12	$- 17 + \frac{n}{- 3} = - 12$
192285	Simplify	(x/25-1/5)/((x^2)/25-1)	$\frac{\frac{x}{25} - \frac{1}{5}}{\frac{x^{2}}{25} - 1}$
192286	Graph	P(x)=4/9x^3-2x^2	$P (x) = \frac{4}{9} x^{3} - 2 x^{2}$
192287	Evaluate	(2/( square root of 3))^2	${(\frac{2}{\sqrt{3}})}^{2}$
192288	Find the Domain and Range	r(x)=(x^3-2x^2-3x)/(x-3)	$r (x) = \frac{x^{3} - 2 x^{2} - 3 x}{x - 3}$
192289	Graph Using a Table of Values	f(x)=(x^2-4x+4)/(x^3-5x^2)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{3} - 5 x^{2}}$
192290	Solve for w	5 log base 6 of 7w+1+3=13	$5 \log_{6} (7 w + 1) + 3 = 13$
192291	Find the Product	(x+3)/(3x+6)*(6x)/(x^2+5x+6)	$\frac{x + 3}{3 x + 6} \cdot \frac{6 x}{x^{2} + 5 x + 6}$
192292	Find the Axis of Symmetry	(x^2)/81+(y^2)/16=1	$\frac{x^{2}}{81} + \frac{y^{2}}{16} = 1$
192293	Solve for x	(3ax)/5-4c=(ax)/5	$\frac{3 a x}{5} - 4 c = \frac{a x}{5}$
192294	Evaluate	2^(2x-3)=16	$2^{2 x - 3} = 16$
192295	Multiply	-0.2*(-5/6)	$- 0.2 \cdot (- \frac{5}{6})$
192296	Find the Holes in the Graph	f(x)=(4x-24)/(2x-4)	$f (x) = \frac{4 x - 24}{2 x - 4}$
192297	Simplify	6/(2x^2)+x/(x^2-x)	$\frac{6}{2 x^{2}} + \frac{x}{x^{2} - x}$
192298	Find the Product	8y^3(-3y^2)	$8 y^{3} (- 3 y^{2})$
192299	Combine Like Terms	7v+2+12+2v	$7 v + 2 + 12 + 2 v$
192300	Graph	x^2(x-2)	$x^{2} (x - 2)$