Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
169901	Graph	h(x)=-3/2(x+8)(x+4)	$h (x) = - \frac{3}{2} (x + 8) (x + 4)$
169902	Find g(f(x))	f(x)=2x+1 , g(x) = square root of x	$f (x) = 2 x + 1$ , $g (x) = \sqrt{x}$
169903	Simplify	(y-x)/(x^2-y^2)	$\frac{y - x}{x^{2} - y^{2}}$
169904	Simplify	(x^3x^-4yy)/1	$\frac{x^{3} x^{- 4} y \cdot y}{1}$
169905	Simplify	(((x^2-5x+6)^-1)/((x-2)^-2))÷(((x-3)^-1)/((x-2)^-2))	$\frac{{(x^{2} - 5 x + 6)}^{- 1}}{{(x - 2)}^{- 2}} \div \frac{{(x - 3)}^{- 1}}{{(x - 2)}^{- 2}}$
169906	Solve the Inequality for x	((x+3)(x+5))/(x+2)>=0	$\frac{(x + 3) (x + 5)}{x + 2} \geq 0$
169907	Solve the Inequality for n	3\|n-1\|>9	$3 \| n - 1 \| > 9$
169908	Write in Standard Form	f(x)=x^2+8x+15	$f (x) = x^{2} + 8 x + 15$
169909	Find the Domain and Range	f(x)=-3+ square root of 4x-12	$f (x) = - 3 + \sqrt{4 x - 12}$
169910	Find the Quotient	(4x^3-3x^2+5x+6)÷(x+6)	$(4 x^{3} - 3 x^{2} + 5 x + 6) \div (x + 6)$
169911	Evaluate	9/5+(-4/3)	$\frac{9}{5} + (- \frac{4}{3})$
169912	Graph	(-7,1)	$(- 7, 1)$
169913	Solve Using the Quadratic Formula	f(x)=x^2+2x-1	$f (x) = x^{2} + 2 x - 1$
169914	Find the Domain and Range	f(x)=1/(\|x\|)	$f (x) = \frac{1}{\| x \|}$
169915	Find the Exact Value	cos(405 degrees )	$\cos (405 °)$
169916	Factor	pq^2-p^2q^3-2p^3q^5r+p^2q^3r^2	$p q^{2} - p^{2} q^{3} - 2 p^{3} q^{5} r + p^{2} q^{3} r^{2}$
169917	Solve for x	kx+8=4 for x	$k x + 8 = 4$ for $x$
169918	Solve for x	(3x-2)/4=2x-8	$\frac{3 x - 2}{4} = 2 x - 8$
169919	Simplify	(-4u^8)/(3(u^-1)^4)	$\frac{- 4 u^{8}}{3 {(u^{- 1})}^{4}}$
169920	Graph	x/4<=9/x	$\frac{x}{4} \leq \frac{9}{x}$
169921	Describe the Transformation	f(x) = cube root of -5(x+9)-4	$f (x) = \sqrt[3]{- 5 (x + 9)} - 4$
169922	Find the Equation Using Slope-Intercept Form	a=-2 and b=-4	$a = - 2$ and $b = - 4$
169923	Evaluate	20% of 50	$20 %$ of $50$
169924	Find the First Term	a_n=n+2	$a_{n} = n + 2$
169925	Solve for p	-1-2p+1/3p=-3/2p+2	$- 1 - 2 p + \frac{1}{3} p = - \frac{3}{2} p + 2$
169926	Solve for c	6/7=2/7c+1/2	$\frac{6}{7} = \frac{2}{7} c + \frac{1}{2}$
169927	Find the Exact Value	sixth root of 729	$\sqrt[6]{729}$
169928	Solve for r	r-2=-2/5r+7/10r+3/2	$r - 2 = - \frac{2}{5} r + \frac{7}{10} r + \frac{3}{2}$
169929	Graph Using a Table of Values	y=-\|x\|	$y = - \| x \|$
169930	Solve for x	(7x)/(3x+3)-5/(4x-4)=(3x)/(2x+2)	$\frac{7 x}{3 x + 3} - \frac{5}{4 x - 4} = \frac{3 x}{2 x + 2}$
169931	Simplify	(3g^5)/(10h^2)*(h^5)/(10g^2)	$\frac{3 g^{5}}{10 h^{2}} \cdot \frac{h^{5}}{10 g^{2}}$
169932	Find the Domain and Range	f(x)=x^(1/2)	$f (x) = x^{\frac{1}{2}}$
169933	Find the x and y Intercepts	f(x)=(x^2-4x-5)/(4x+4)	$f (x) = \frac{x^{2} - 4 x - 5}{4 x + 4}$
169934	Graph	f(x)=-x(x-3)(5x+2)	$f (x) = - x (x - 3) (5 x + 2)$
169935	Find the First Term	a_n=3n	$a_{n} = 3 n$
169936	Find the Roots (Zeros)	F(x)=(5(x+2))/(3(x-1)(x+7))	$F (x) = \frac{5 (x + 2)}{3 (x - 1) (x + 7)}$
169937	Find the Holes in the Graph	f(x)=(2x^2-2)/(x^2-x)	$f (x) = \frac{2 x^{2} - 2}{x^{2} - x}$
169938	Solve for x	-7>=13-5x	$- 7 \geq 13 - 5 x$
169939	Factor	36x^4y^4z^4-20x^8y	$36 x^{4} y^{4} z^{4} - 20 x^{8} y$
169940	Solve for a	7/(a-2)=2/3	$\frac{7}{a - 2} = \frac{2}{3}$
169941	Graph	y=5 log base 3 of -x-5	$y = 5 \log_{3} (- x) - 5$
169942	Graph	x-x^2	$x - x^{2}$
169943	Simplify	- square root of 3*(- square root of 3)	$- \sqrt{3} \cdot (- \sqrt{3})$
169944	Solve the Inequality for x	x^2-6x>-8	$x^{2} - 6 x > - 8$
169945	Solve for x	square root of x^2+7=4	$\sqrt{x^{2} + 7} = 4$
169946	Find the Exact Value	(2/3)^-3	${(\frac{2}{3})}^{- 3}$
169947	Find All Complex Solutions	2sin(theta)^2-sin(theta)=0	$2 \sin^{2} (θ) - \sin (θ) = 0$
169948	Divide	a^2+2a-3 entre a+3	$a^{2} + 2 a - 3$ entre $a + 3$
169949	Solve the Inequality for p	2p-4p<=-2	$2 p - 4 p \leq - 2$
169950	Factor	50x^6y^2z^4-10x^2y^6z^5	$50 x^{6} y^{2} z^{4} - 10 x^{2} y^{6} z^{5}$
169951	Simplify	square root of 5* square root of 12* square root of 50	$\sqrt{5} \cdot \sqrt{12} \cdot \sqrt{50}$
169952	Find All Complex Solutions	\|2x-3\|=7	$\| 2 x - 3 \| = 7$
169953	Solve for θ	2sin(theta)+4=5	$2 \sin (θ) + 4 = 5$
169954	Solve the Inequality for x	x^2-6x+9<0	$x^{2} - 6 x + 9 < 0$
169955	Factor	(x+7)^2+2y(x+7)+y^2	${(x + 7)}^{2} + 2 y (x + 7) + y^{2}$
169956	Simplify	((4a^3)/(2b^4))^2	${(\frac{4 a^{3}}{2 b^{4}})}^{2}$
169957	Solve for b	5/6-1/2b=1/4	$\frac{5}{6} - \frac{1}{2} b = \frac{1}{4}$
169958	Solve for m	7m+2=6n-5	$7 m + 2 = 6 n - 5$
169959	Find the Domain and Range	F(x)=11*(1/3)^x	$F (x) = 11 \cdot {(\frac{1}{3})}^{x}$
169960	Describe the Transformation	f(x)=3(x+2)^2+1	$f (x) = 3 {(x + 2)}^{2} + 1$
169961	Find the Inverse	f(x)=(3x)^(-2/3)	$f (x) = {(3 x)}^{- \frac{2}{3}}$
169962	Solve the Inequality for x	x/(x-7)>0	$\frac{x}{x - 7} > 0$
169963	Combine Like Terms	y^3-y^2+4y^3+7y^2-3x^3+y^2+4y^3	$y^{3} - y^{2} + 4 y^{3} + 7 y^{2} - 3 x^{3} + y^{2} + 4 y^{3}$
169964	Graph	f(x)=1/3(1/2)^x	$f (x) = \frac{1}{3} {(\frac{1}{2})}^{x}$
169965	Simplify	((2x^2-9x-5)/(x^2-8x+15))÷((18x+9)/(x^2-9))	$\frac{2 x^{2} - 9 x - 5}{x^{2} - 8 x + 15} \div \frac{18 x + 9}{x^{2} - 9}$
169966	Solve for x	\|3x+2\|-6=5x	$\| 3 x + 2 \| - 6 = 5 x$
169967	Simplify	4/-5	$\frac{4}{- 5}$
169968	Factor	P(x)=x^3+2x^2-13x+10	$P (x) = x^{3} + 2 x^{2} - 13 x + 10$
169969	Find the Product	(m+6)^2	${(m + 6)}^{2}$
169970	Simplify	(8/27)^(-2/3)	${(\frac{8}{27})}^{\frac{- 2}{3}}$
169971	Simplify	(x^2-3x)/(x-2)*(x^2+x-6)/x	$\frac{x^{2} - 3 x}{x - 2} \cdot \frac{x^{2} + x - 6}{x}$
169972	Simplify	(2x^2-x-3)/(-2x^2+5x-3)	$\frac{2 x^{2} - x - 3}{- 2 x^{2} + 5 x - 3}$
169973	Divide	a^2-(ab)÷a	$a^{2} - a b \div a$
169974	Factor	8+12a^2+6a^4+a^6	$8 + 12 a^{2} + 6 a^{4} + a^{6}$
169975	Solve for k	\|-8k\|=24	$\| - 8 k \| = 24$
169976	Solve for b	-5/8b-1/3=1/2	$- \frac{5}{8} b - \frac{1}{3} = \frac{1}{2}$
169977	Solve for x	3/2(x-6)=-3	$\frac{3}{2} (x - 6) = - 3$
169978	Solve for r	10/7-1/7r=-2/7r+25/7	$\frac{10}{7} - \frac{1}{7} r = - \frac{2}{7} r + \frac{25}{7}$
169979	Solve for z	1/6z+1/8=1/3	$\frac{1}{6} z + \frac{1}{8} = \frac{1}{3}$
169980	Simplify	(x^-8y^-6y^5)/(x^-3)	$\frac{x^{- 8} y^{- 6} y^{5}}{x^{- 3}}$
169981	Graph	y>3x+9 y<3x-1	$y > 3 x + 9$ $y < 3 x - 1$
169982	Solve for x	-79=7x+3(4x-1)	$- 79 = 7 x + 3 (4 x - 1)$
169983	Solve the Absolute Value Inequality for x	\|x\|<=3	$\| x \| \leq 3$
169984	Evaluate	log of x+ log of x-15=2	$\log (x) + \log (x - 15) = 2$
169985	Factor	-x^4y+6x^3y-5x^2y	$- x^{4} y + 6 x^{3} y - 5 x^{2} y$
169986	Simplify	(x^7)/(x^6y^8y^-6)	$\frac{x^{7}}{x^{6} y^{8} y^{- 6}}$
169987	Divide	9 3/4÷4 1/2	$9 \frac{3}{4} \div 4 \frac{1}{2}$
169988	Simplify	x/2+x/2	$\frac{x}{2} + \frac{x}{2}$
169989	Evaluate	(( square root of 3)/2)÷(-1/2)	$\frac{\sqrt{3}}{2} \div (- \frac{1}{2})$
169990	Solve the Inequality for x	(x-1)^2-7>(x-2)^2	${(x - 1)}^{2} - 7 > {(x - 2)}^{2}$
169991	Simplify	15a^2-6ab-8a^2+20-5ab-31+a^2-ab	$15 a^{2} - 6 a b - 8 a^{2} + 20 - 5 a b - 31 + a^{2} - a b$
169992	Solve for x	3x-13=7(x+2)-4(x-7)	$3 x - 13 = 7 (x + 2) - 4 (x - 7)$
169993	Simplify	10a-7b+4a+5b-14a+3b	$10 a - 7 b + 4 a + 5 b - 14 a + 3 b$
169994	Solve for x	(-x)/2+1/(2x)=-4/x	$\frac{- x}{2} + \frac{1}{2 x} = \frac{- 4}{x}$
169995	Solve the Inequality for x	-1>=-1+x	$- 1 \geq - 1 + x$
169996	Factor	y=-5x^3-5x^2+30x	$y = - 5 x^{3} - 5 x^{2} + 30 x$
169997	Graph	y=x+1,x<=2; x+2,x>2	$y = {\begin{cases} x + 1, x \leq 2 \\ x + 2, x > 2 \end{cases}$
169998	Multiply	(2 square root of 7+3 square root of 6)(5 square root of 2+4 square root of 3)	$(2 \sqrt{7} + 3 \sqrt{6}) (5 \sqrt{2} + 4 \sqrt{3})$
169999	Find the Exact Value	(x+y)^2	${(x + y)}^{2}$
170000	Simplify	1/3 square root of 45-1/2 square root of 12+ square root of 20+2/3 square root of 27	$\frac{1}{3} \sqrt{45} - \frac{1}{2} \sqrt{12} + \sqrt{20} + \frac{2}{3} \sqrt{27}$