Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178701	Graph	y=f(x)+a	$y = f (x) + a$
178702	Find the Product	(3x+5y)(3x-5y)	$(3 x + 5 y) (3 x - 5 y)$
178703	Multiply	2 3/20*10	$2 \frac{3}{20} \times 10$
178704	Solve the System of Inequalities	13>=-2x-7 or -2x-7<1	$13 \geq - 2 x - 7$ or $- 2 x - 7 < 1$
178705	Solve the System of Inequalities	3x<21 or 5x>55	$3 x < 21$ or $5 x > 55$
178706	Simplify	((2^2)^2)^2	${({(2^{2})}^{2})}^{2}$
178707	Write in Standard Form	-x=-10-x^2+3x	$- x = - 10 - x^{2} + 3 x$
178708	Solve for g	2-3/2(4g-2)=-1/5(5g+10)-g	$2 - \frac{3}{2} (4 g - 2) = - \frac{1}{5} (5 g + 10) - g$
178709	Evaluate	f(2)=4^2	$f (2) = 4^{2}$
178710	Multiply	8r^2(r^2-2)	$8 r^{2} (r^{2} - 2)$
178711	Simplify	((x^2-9)/4)/((3-x)/8)	$\frac{\frac{x^{2} - 9}{4}}{\frac{3 - x}{8}}$
178712	Simplify	(-5n^4+8)+(5n^4+8n^3+3n^2)	$(- 5 n^{4} + 8) + (5 n^{4} + 8 n^{3} + 3 n^{2})$
178713	Solve the System of Inequalities	2x+3>=7 ; OR , 2x+9>11	$2 x + 3 \geq 7$ ; OR , $2 x + 9 > 11$
178714	Write in Standard Form	-2x-21+2x^2=-5	$- 2 x - 21 + 2 x^{2} = - 5$
178715	Simplify	((x^2-5x-36)/(x+2))÷(x^2-18x+81)	$\frac{x^{2} - 5 x - 36}{x + 2} \div (x^{2} - 18 x + 81)$
178716	Solve for x	e^(x+1)+1=32	$e^{x + 1} + 1 = 32$
178717	Solve the System of Equations	y=7x y=2x+20	$y = 7 x$ $y = 2 x + 20$
178718	Write in Slope-Intercept Form	-1/2x-y=3/4	$- \frac{1}{2} x - y = \frac{3}{4}$
178719	Graph	y=3/2sin(2x)	$y = \frac{3}{2} \sin (2 x)$
178720	Solve the Inequality for x	4x-3+6x>5x+7	$4 x - 3 + 6 x > 5 x + 7$
178721	Simplify	2p^3(p^2-4p-7)+5p(p^4-p^2)	$2 p^{3} (p^{2} - 4 p - 7) + 5 p (p^{4} - p^{2})$
178722	Solve for x	-14+2x+3=4x-13-7x	$- 14 + 2 x + 3 = 4 x - 13 - 7 x$
178723	Solve for w	w(w-6)^2=0	$w {(w - 6)}^{2} = 0$
178724	Evaluate	f(x)=(1/4)^2	$f (x) = {(\frac{1}{4})}^{2}$
178725	Solve for θ	0<theta<pi/2	$0 < θ < \frac{π}{2}$
178726	Graph Using a Table of Values	f(x)=-5x	$f (x) = - 5 x$
178727	Solve for x	(3x+1)(x+2)=1	$(3 x + 1) (x + 2) = 1$
178728	Solve the Inequality for x	x^2+4x-21<=0	$x^{2} + 4 x - 21 \leq 0$
178729	Graph	y^2=2x^2-1	$y^{2} = 2 x^{2} - 1$
178730	Evaluate	(4-0)^2	${(4 - 0)}^{2}$
178731	Solve for x	x-(x+2)/(x+7)=5/(x+7)	$x - \frac{x + 2}{x + 7} = \frac{5}{x + 7}$
178732	Write in Standard Form	6x+2x^2=-2x^2-10	$6 x + 2 x^{2} = - 2 x^{2} - 10$
178733	Evaluate	log base 6 of x+ log base 6 of x-5=2	$\log_{6} (x) + \log_{6} (x - 5) = 2$
178734	Simplify	(3/x)÷(1/(x^2))	$\frac{3}{x} \div \frac{1}{x^{2}}$
178735	Graph	y=1/2(x+4)^2-2	$y = \frac{1}{2} {(x + 4)}^{2} - 2$
178736	Solve the Rational Equation for x	square root of x+6-4=x	$\sqrt{x + 6} - 4 = x$
178737	Simplify	-8i*(12-i)	$- 8 i \cdot (12 - i)$
178738	Divide	(2x^4+4x^2-17-6x^3)÷(-x^2+2x-3)	$(2 x^{4} + 4 x^{2} - 17 - 6 x^{3}) \div (- x^{2} + 2 x - 3)$
178739	Solve for x	x/(x-6)+1=8/(x^2-6x)	$\frac{x}{x - 6} + 1 = \frac{8}{x^{2} - 6 x}$
178740	Evaluate	\|--12/4\|	$\| - \frac{- 12}{4} \|$
178741	Solve for x	4(5+2x)-5=3(3x+7)	$4 (5 + 2 x) - 5 = 3 (3 x + 7)$
178742	Evaluate	15+-8	$15 + - 8$
178743	Evaluate	square root of square root of 256	$\sqrt{\sqrt{256}}$
178744	Solve the Inequality for x	2x>8	$2 x > 8$
178745	Find the Axis of Symmetry	f(x)=x^3-4x^2-x+4	$f (x) = x^{3} - 4 x^{2} - x + 4$
178746	Solve the Inequality for x	1/x+1/(x-10)>=2/24	$\frac{1}{x} + \frac{1}{x - 10} \geq \frac{2}{24}$
178747	Solve for x	7(2-x)+9x=2(x+7)	$7 (2 - x) + 9 x = 2 (x + 7)$
178748	Solve for x	(3x)/4=1/x	$\frac{3 x}{4} = \frac{1}{x}$
178749	Divide	(x^4-2x^3-11x^2+30x-20)÷(x^2+3x-2)	$(x^{4} - 2 x^{3} - 11 x^{2} + 30 x - 20) \div (x^{2} + 3 x - 2)$
178750	Find the Holes in the Graph	f(x)=(x+4)/(x^2-1)	$f (x) = \frac{x + 4}{x^{2} - 1}$
178751	Solve the Inequality for x	(x+9)/(x^2-5x+6)<=0	$\frac{x + 9}{x^{2} - 5 x + 6} \leq 0$
178752	Write in Standard Form	-13+7x=-1+5x^2	$- 13 + 7 x = - 1 + 5 x^{2}$
178753	Divide	(-4x^4+3x^2+12-11x^3)÷(-x^2-2x+3)	$(- 4 x^{4} + 3 x^{2} + 12 - 11 x^{3}) \div (- x^{2} - 2 x + 3)$
178754	Find g(f(x))	f(x)=6x g(x)=6x	$f (x) = 6 x$ $g (x) = 6 x$
178755	Convert to Radical Form	1/((5x)^(-5/2))	$\frac{1}{{(5 x)}^{- \frac{5}{2}}}$
178756	Simplify	-8i*6i	$- 8 i \cdot 6 i$
178757	Solve Using the Quadratic Formula	3x+5=0	$3 x + 5 = 0$
178758	Graph	y>=-x+5 y<2x-4	$y \geq - x + 5$ $y < 2 x - 4$
178759	Solve for x	x-(2x+5)/(x-8)=2	$x - \frac{2 x + 5}{x - 8} = 2$
178760	Solve for x	(8x)/(x+7)+4x=5	$\frac{8 x}{x + 7} + 4 x = 5$
178761	Solve for x	4^(2x-3)=1	$4^{2 x - 3} = 1$
178762	Find All Complex Solutions	-17(y-2)=-17y+64	$- 17 (y - 2) = - 17 y + 64$
178763	Graph	f(x)1/x	$f (x) \frac{1}{x}$
178764	Solve for b	ab=c+d	$a b = c + d$
178765	Solve the Absolute Value Inequality for x	\|x+3\|<=9	$\| x + 3 \| \leq 9$
178766	Solve for x	x-7/(x+8)=2/(x+8)	$x - \frac{7}{x + 8} = \frac{2}{x + 8}$
178767	Simplify	x/( square root of 1-x^2)	$\frac{x}{\sqrt{1 - x^{2}}}$
178768	Solve for n	P=n+m+k	$P = n + m + k$
178769	Solve for x	-6(x+1)=2(1-3x)-7	$- 6 (x + 1) = 2 (1 - 3 x) - 7$
178770	Solve for x	(x-5)/(x-4)=3/x	$\frac{x - 5}{x - 4} = \frac{3}{x}$
178771	Simplify	(6+ square root of -98)(11+ square root of -32)	$(6 + \sqrt{- 98}) (11 + \sqrt{- 32})$
178772	Graph	x^2+(y-x^(2/3))^2=1	$x^{2} + {(y - x^{\frac{2}{3}})}^{2} = 1$
178773	Solve the Inequality for x	x^2+x<2	$x^{2} + x < 2$
178774	Solve the Absolute Value Inequality for w	\|w\|=6	$\| w \| = 6$
178775	Simplify	(a^3b^5c^-4)^2	${(a^{3} b^{5} c^{- 4})}^{2}$
178776	Convert to Polar	y=-3	$y = - 3$
178777	Subtract	3/4-2/8	$\frac{3}{4} - \frac{2}{8}$
178778	Solve the Absolute Value Inequality for x	\|x-5\|<=3	$\| x - 5 \| \leq 3$
178779	Simplify	(a+b)(c-d)	$(a + b) (c - d)$
178780	Evaluate	-20=-4x-6x	$- 20 = - 4 x - 6 x$
178781	Solve for v	v = square root of 20L	$v = \sqrt{20 L}$
178782	Simplify	(8/3)^-2	${(\frac{8}{3})}^{- 2}$
178783	Rationalize the Denominator	( square root of 12)/( square root of 3-3)	$\frac{\sqrt{12}}{\sqrt{3} - 3}$
178784	Solve the Inequality for x	-10/(x-5)>=-11/(x-6)	$- \frac{10}{x - 5} \geq - \frac{11}{x - 6}$
178785	Simplify	square root of -1/3	$\sqrt{- \frac{1}{3}}$
178786	Find the Function	g(x)=2x+9	$g (x) = 2 x + 9$
178787	Divide	(x^6+5x^4+3x^2-2x) entre (x^2-x+3)	$(x^{6} + 5 x^{4} + 3 x^{2} - 2 x)$ entre $(x^{2} - x + 3)$
178788	Simplify	(3x^5+y^4)^2	${(3 x^{5} + y^{4})}^{2}$
178789	Solve for y	square root of 2y^2-5y- square root of 21-6y=0	$\sqrt{2 y^{2} - 5 y} - \sqrt{21 - 6 y} = 0$
178790	Simplify	(2x^3-y^4)^2	${(2 x^{3} - y^{4})}^{2}$
178791	Solve by Substitution	y=-6x y=-4x+6	$y = - 6 x$ $y = - 4 x + 6$
178792	Solve for c	j=m/c*78	$j = \frac{m}{c} \cdot 78$
178793	Find the x and y Intercepts	f(x)=(x^2+x-6)/(x^2+x-20)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + x - 20}$
178794	Graph	f(x)=-x^2(x-2)(x+4)	$f (x) = - x^{2} (x - 2) (x + 4)$
178795	Solve for a	x^2x^(4/3)=x^a	$x^{2} x^{\frac{4}{3}} = x^{a}$
178796	Write in Standard Form	square root of -54	$\sqrt{- 54}$
178797	Write in Standard Form	f(x)=(x+2)^2-1	$f (x) = {(x + 2)}^{2} - 1$
178798	Evaluate	2pi(3)^2	$2 π {(3)}^{2}$
178799	Find the x and y Intercepts	f(x)=x/(x^2+7x)	$f (x) = \frac{x}{x^{2} + 7 x}$
178800	Solve the System of Equations	5a+5b+5c=-20 4a+3b+3c=-6 -4a+3b+3c=9	$5 a + 5 b + 5 c = - 20$ $4 a + 3 b + 3 c = - 6$ $- 4 a + 3 b + 3 c = 9$