Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189501	Graph	y=x^2 y=-2x+1	$y = x^{2}$ $y = - 2 x + 1$
189502	Find the Domain and Range	f(x)=(x+6)-2	$f (x) = (x + 6) - 2$
189503	Factor	8a^3bc-12ab^3cd+4b^4c^2d^2	$8 a^{3} b c - 12 a b^{3} c d + 4 b^{4} c^{2} d^{2}$
189504	Simplify	cube root of (x^3-1)+1	$\sqrt[3]{(x^{3} - 1) + 1}$
189505	Graph	(x^2+9x+20)/(x^2-x-20)>=0	$\frac{x^{2} + 9 x + 20}{x^{2} - x - 20} \geq 0$
189506	Solve the Rational Equation for x	square root of 2x+15=x+6	$\sqrt{2 x + 15} = x + 6$
189507	Identify the Zeros and Their Multiplicities	f(x)=x(5-x)(7-x)	$f (x) = x (5 - x) (7 - x)$
189508	Solve the Inequality for x	x/3>-1	$\frac{x}{3} > - 1$
189509	Solve for x	12x+8-15=-2(3x-82)	$12 x + 8 - 15 = - 2 (3 x - 82)$
189510	Solve for x	-3/4(2x+1)+4=1/4-7x	$- \frac{3}{4} (2 x + 1) + 4 = \frac{1}{4} - 7 x$
189511	Solve for x	ax-4=bx-2	$a x - 4 = b x - 2$
189512	Find the Exact Value	5÷2	$5 \div 2$
189513	Find the End Behavior	(x^2+1)/(x^2+2)	$\frac{x^{2} + 1}{x^{2} + 2}$
189514	Simplify	(16 square root of a^5-8 square root of a^3+2 square root of a)/(2 square root of a)	$\frac{16 \sqrt{a^{5}} - 8 \sqrt{a^{3}} + 2 \sqrt{a}}{2 \sqrt{a}}$
189515	Simplify	(7y^2+6xy)-(-2xy+3)	$(7 y^{2} + 6 x y) - (- 2 x y + 3)$
189516	Find the Exact Value	(4+((2-5)^2-4(7-5)^3+2(15/3))) square root of 16	$(4 + ({(2 - 5)}^{2} - 4 {(7 - 5)}^{3} + 2 (\frac{15}{3}))) \sqrt{16}$
189517	Solve the System of Equations	3x+y-z=3 -x+2y+z=0 -5x+2y+3z=-2	$3 x + y - z = 3$ $- x + 2 y + z = 0$ $- 5 x + 2 y + 3 z = - 2$
189518	Solve for h	h/-3+2=1	$\frac{h}{- 3} + 2 = 1$
189519	Solve for x	2/3\|3x-6\|=4(x-2)	$\frac{2}{3} \| 3 x - 6 \| = 4 (x - 2)$
189520	Simplify	(1/(a^2+7a+12)+1/(a^2+a-6))/(1/(a^2+2a-8)+1/(a^2+5a+4))	$\frac{\frac{1}{a^{2} + 7 a + 12} + \frac{1}{a^{2} + a - 6}}{\frac{1}{a^{2} + 2 a - 8} + \frac{1}{a^{2} + 5 a + 4}}$
189521	Graph	f(x)=2x+1,x<=-1; x^2-2,x>-1	$f (x) = {\begin{cases} 2 x + 1, x \leq - 1 \\ x^{2} - 2, x > - 1 \end{cases}$
189522	Evaluate	sin(theta)=-1	$\sin (θ) = - 1$
189523	Combine Like Terms	(5x-6)^2	${(5 x - 6)}^{2}$
189524	Graph	-1/2x+1/8y=3/4	$- \frac{1}{2} x + \frac{1}{8} y = \frac{3}{4}$
189525	Solve the Rational Equation for x	square root of 2x+19=x+8	$\sqrt{2 x + 19} = x + 8$
189526	Solve the Inequality for b	-22>-10+b	$- 22 > - 10 + b$
189527	Simplify	2/(a^2b^3)-1/(ab)	$\frac{2}{a^{2} b^{3}} - \frac{1}{a b}$
189528	Solve the Inequality for k	k+4-2(k-12)>0	$k + 4 - 2 (k - 12) > 0$
189529	Solve for x	3x(x-3)+5(x+7)-x(x+1)-2(x^2+7)+4=0	$3 x (x - 3) + 5 (x + 7) - x (x + 1) - 2 (x^{2} + 7) + 4 = 0$
189530	Simplify	(2d^7)(-4d^9d^5)	$(2 d^{7}) (- 4 d^{9} d^{5})$
189531	Solve the Absolute Value Inequality for x	5\|x+9\|<=10	$5 \| x + 9 \| \leq 10$
189532	Find the Inverse	f(x)=(x^(1/3)-1)/9	$f (x) = \frac{x^{\frac{1}{3}} - 1}{9}$
189533	Solve the Inequality for x	(x+6)(1-x)(x-4)<=0	$(x + 6) (1 - x) (x - 4) \leq 0$
189534	Divide	10÷(4/5)	$10 \div \frac{4}{5}$
189535	Simplify	3/(4x^2)-x/(2x^2+10x)	$\frac{3}{4 x^{2}} - \frac{x}{2 x^{2} + 10 x}$
189536	Solve for w	w^2-9=0	$w^{2} - 9 = 0$
189537	Simplify	(2x^2+x)/(2x-2)+(x-4)/(2x-2)	$\frac{2 x^{2} + x}{2 x - 2} + \frac{x - 4}{2 x - 2}$
189538	Simplify	-2x^2 square root of 7+2x square root of 112x^2	$- 2 x^{2} \sqrt{7} + 2 x \sqrt{112 x^{2}}$
189539	Solve the Inequality for x	-2-3x>=2	$- 2 - 3 x \geq 2$
189540	Solve the Inequality for x	5(x-3)<2(3x-1)	$5 (x - 3) < 2 (3 x - 1)$
189541	Simplify	- square root of 150x^5+x square root of 6x^3	$- \sqrt{150 x^{5}} + x \sqrt{6 x^{3}}$
189542	Solve the Inequality for x	2x-3>=4x-1	$2 x - 3 \geq 4 x - 1$
189543	Simplify	5 cube root of 32x^3y^4-3xy cube root of 4y	$5 \sqrt[3]{32 x^{3} y^{4}} - 3 x y \sqrt[3]{4 y}$
189544	Solve the Absolute Value Inequality for x	2(\|x+4\|+3)=6	$2 (\| x + 4 \| + 3) = 6$
189545	Simplify	(-2y^4)*(xy^3)^2-13x^2y^10	$(- 2 y^{4}) \cdot {(x y^{3})}^{2} - 13 x^{2} y^{10}$
189546	Find the x and y Intercepts	f(x)=-4x^2+x^5+10x^3+5x+8x^4	$f (x) = - 4 x^{2} + x^{5} + 10 x^{3} + 5 x + 8 x^{4}$
189547	Solve by Addition/Elimination	-16y=22+6x -11y-4x=15	$- 16 y = 22 + 6 x$ $- 11 y - 4 x = 15$
189548	Write Using Positive Exponents	(xy^-6)/(x^-4y^2)	$\frac{x y^{- 6}}{x^{- 4} y^{2}}$
189549	Solve the Inequality for x	6<=x-2<14	$6 \leq x - 2 < 14$
189550	Solve for x	4-(2x)/3=x+2/3	$4 - \frac{2 x}{3} = x + \frac{2}{3}$
189551	Solve for h	-2/3h=-22	$- \frac{2}{3} h = - 22$
189552	Write in Standard Form	3(x+1)(x+3)(x-4)	$3 (x + 1) (x + 3) (x - 4)$
189553	Evaluate	-3\|-2\|+6	$- 3 \| - 2 \| + 6$
189554	Solve the Inequality for x	\|x-9\|>=4	$\| x - 9 \| \geq 4$
189555	Solve for a	-41=-13+4/3a	$- 41 = - 13 + \frac{4}{3} a$
189556	Solve the System of Equations	y=x^2-9x+1 y=x+1	$y = x^{2} - 9 x + 1$ $y = x + 1$
189557	Find the Distance Between Two Points	(0,-6) and (7,1)	$(0, - 6)$ and $(7, 1)$
189558	Solve for x	4-7/10x=1/5x-11	$4 - \frac{7}{10} x = \frac{1}{5} x - 11$
189559	Simplify	2x^2+30+3x^2+4x^2+14+x	$2 x^{2} + 30 + 3 x^{2} + 4 x^{2} + 14 + x$
189560	Solve for x	2+3(x+2x)=-2x(2-4)+1	$2 + 3 (x + 2 x) = - 2 x (2 - 4) + 1$
189561	Solve by Factoring	x^2-5x+6<0	$x^{2} - 5 x + 6 < 0$
189562	Find the Quotient	((6u^11v^6)(11u^5v))/(-44u^11v^12)	$\frac{(6 u^{11} v^{6}) (11 u^{5} v)}{- 44 u^{11} v^{12}}$
189563	Simplify	-8/(15g^2)+-7/(20g)	$\frac{- 8}{15 g^{2}} + \frac{- 7}{20 g}$
189564	Evaluate	2pi*2pi	$2 π \cdot 2 π$
189565	Solve for x	x^4-6x^2+12=7	$x^{4} - 6 x^{2} + 12 = 7$
189566	Write in Standard Form	y=-2x-2/7	$y = - 2 x - \frac{2}{7}$
189567	Find the Excluded Values	((32x^3y)/(y^8))÷((y^7)/(8x^4))	$\frac{32 x^{3} y}{y^{8}} \div \frac{y^{7}}{8 x^{4}}$
189568	Evaluate	2sec(0)^2	$2 \sec^{2} (0)$
189569	Write in Standard Form	( square root of -10)^2	${(\sqrt{- 10})}^{2}$
189570	Find the Domain and Range	y=(x^2)/2	$y = \frac{x^{2}}{2}$
189571	Solve the Inequality for x	x^2+9<6x	$x^{2} + 9 < 6 x$
189572	Solve for x	5(3*2x)=10x-4	$5 (3 \cdot 2 x) = 10 x - 4$
189573	Evaluate	log base x of 16=2	$\log_{x} (16) = 2$
189574	Write the Fraction in Simplest Form	1/3+1/6	$\frac{1}{3} + \frac{1}{6}$
189575	Combine Like Terms	-4(8-c)-(3c+7)	$- 4 (8 - c) - (3 c + 7)$
189576	Solve for x	x/(x+6)+2/(x+7)=(3x+7)/(x^2+13x+42)	$\frac{x}{x + 6} + \frac{2}{x + 7} = \frac{3 x + 7}{x^{2} + 13 x + 42}$
189577	Solve the System of Equations	x-y+2z=1 -x-2y-z=3 -3x-3y-4z=5	$x - y + 2 z = 1$ $- x - 2 y - z = 3$ $- 3 x - 3 y - 4 z = 5$
189578	Solve for y	8x-4y=16 for y	$8 x - 4 y = 16$ for $y$
189579	Simplify	-3+2i-2*24-8i	$- 3 + 2 i - 2 \cdot 24 - 8 i$
189580	Divide Using Synthetic Division	(8v^5+32v^4+5v+20)÷(v+4)	$(8 v^{5} + 32 v^{4} + 5 v + 20) \div (v + 4)$
189581	Find the Holes in the Graph	f(x)=(x+5)/(x^2-25)	$f (x) = \frac{x + 5}{x^{2} - 25}$
189582	Find the x and y Intercepts	f(x)=(x+2)(x+4)(2x+10)	$f (x) = (x + 2) (x + 4) (2 x + 10)$
189583	Solve the Inequality for x	x/-2>=5	$\frac{x}{- 2} \geq 5$
189584	Solve for y	(-4)^2+3=2(-4)+y	${(- 4)}^{2} + 3 = 2 (- 4) + y$
189585	Find the Holes in the Graph	(5x^2)/(3x^2+7x)	$\frac{5 x^{2}}{3 x^{2} + 7 x}$
189586	Graph	y=f(-5)	$y = f (- 5)$
189587	Graph	8x=-4-4x^2	$8 x = - 4 - 4 x^{2}$
189588	Solve for t	25^2<5^(t-8)	$25^{2} < 5^{t - 8}$
189589	Simplify	(7x)/5-x/5	$\frac{7 x}{5} - \frac{x}{5}$
189590	Find the Equation Using Point-Slope Formula	(-8,-8) and (-7,9)	$(- 8, - 8)$ and $(- 7, 9)$
189591	Graph	x^2>=4	$x^{2} \geq 4$
189592	Simplify	x/(x^(3/2))	$\frac{x}{x^{\frac{3}{2}}}$
189593	Simplify	(-5+8i)+(-5-8i)	$(- 5 + 8 i) + (- 5 - 8 i)$
189594	Multiply	(3x^5y^2c)(15x^3y^9c^3)	$(3 x^{5} y^{2} c) (15 x^{3} y^{9} c^{3})$
189595	Simplify	(sin(theta)^2+cos(theta)^2)/(cos(theta)^2)	$\frac{\sin^{2} (θ) + \cos^{2} (θ)}{\cos^{2} (θ)}$
189596	Evaluate	sin(x)^2+cos(x)^2=1	$\sin^{2} (x) + \cos^{2} (x) = 1$
189597	Solve the Inequality for n	\|n-2\|<=5	$\| n - 2 \| \leq 5$
189598	Graph	sinh(x)	$\sinh (x)$
189599	Solve for m	(9-6i)*m=9-6i	$(9 - 6 i) \cdot m = 9 - 6 i$
189600	Solve for x	(x+3)/7+(x-1)/14=(x+1)/2	$\frac{x + 3}{7} + \frac{x - 1}{14} = \frac{x + 1}{2}$